diff --git "a/data/dm_maths/full_data_1/10114_11255.jsonl" "b/data/dm_maths/full_data_1/10114_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10114_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort -1, -5, -28, 5, -3, 559 in decreasing order.\nAnswer: 559, 5, -1, -3, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/360 and 139\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*w = -7599 + 479 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*d**3 + 189*d**3 + 223*d**3.\nAnswer: 654*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 298 and 894?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-23 + 59 + -29 + (-10 - 1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 0 + 0 + sqrt(245)).\nAnswer: -12 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -692 + 691.73. What is the biggest value in o, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*k = 53*k - 756 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + t = 0, 0 = -2*s - 2*t - t. Suppose s*b - 106000 = b. What is b rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 - 299 = -17*w. Which is the third biggest value? (a) -21 (b) 4 (c) w (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 77\/(-9))\/(2\/(-12)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1372, -4795, -10284, -17839, -27460?\n\"Answer: -1033*j**2 - 324*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 2*f**2 - 4*f + 70. Calculate the remainder when 136 is divided by r(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1736\/1311 + 4\/437. What is the nearest to -1 in 2\/5, b, 4, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 6*q - 2. Calculate v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**2. Let q(j) = 1. Let u(k) = -k + 4. Let a(m) = 4*q(m) - u(m). Determine t(a(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 1 - 1. Let g be 1\/j + 5\/18. Let z = 0.52051 + -0.62051. Which is the third biggest value? (a) g (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -i + 3*d - 5*d, 5*d = -2*i + 568. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16498*n + 427 = -16493*n - 2*v, 4*n - 4*v = 332 for n.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 + 2.6. Sort b, -0.4, 0.5.\nAnswer: -0.4, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -40. Let o = 6 + -2. Suppose -o*q - 4*t + 20 = 0, -q + t = -6*q + s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -23*p**6\/30 - 98*p**3\/3 + p**2 - 24*p. Differentiate l(b) with respect to b.\nAnswer: -276*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 43*r - 29. Factor -r*w**3 + 0 - 4\/9*w - 22\/9*w**2.\nAnswer: -2*w*(w + 1)*(9*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s**(-1\/8)*s)*(s**(2\/3))**13)\/((s**(-7)*s**(-2))\/((s**(-3\/4)*s)\/(((s\/((s*s*s**1*s)\/s))\/s)\/s))) assuming s is positive.\nAnswer: s**(385\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1252430, -2504883, -3757336, -5009789?\nAnswer: -6262242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:03 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from nnnmnnmnmmnnnn.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipirfr. Give prob of sequence iri.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -804867 or -804794?\nAnswer: -804867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156711049 to the nearest integer?\nAnswer: 12518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 - 13*z - 7. Let c(w) = -3*w**2 - 9*w - 5. Let s be -3 - (6 + 1 + -3). Calculate s*c(g) + 5*d(g).\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(3 + 0 - 5)*(8 + 14*p - 8) - p + 6*p - 4*p.\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532591.\nAnswer: 61, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-90) - (-444)\/45)*2. Suppose -3*s + o = -25. Calculate the remainder when 73 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + 2*o)*((3 + 3 - 7)*(3*o - 3*o - o**2) + (-28*o + 70*o - 155*o)*(4*o + 2*o + 15*o)).\nAnswer: -7116*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -10100101?\nAnswer: -10010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:07 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7145, 14288, 21433, 28580, 35729, 42880?\nAnswer: 50033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1.47.\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (23 - -2 - 21)*(-139)\/2. Is t smaller than -284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -71, -118, -167, -218?\n\"Answer: -k**2 - 42*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*g - 10. Let u = -102 - -105. Suppose 0 = 3*l + u*i + 6, -2*i + 3 = -l + 16. What is the remainder when g is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99 + -1*(3 - 0)\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408449294 and 5324.\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x**2 + 19*x - 20. Let s(q) = 3*q**2 - 5*q + 5. Let u(i) = -9*s(i) - 2*v(i). Suppose -4*k - 12 = -2*t, -3*k - k = -3*t + 18. Determine u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**8\/756 + 4*y**7\/945 - y**6\/10 - 8*y**5\/135 + 34*y**4\/27 + 32*y**3\/9 - 1229*y**2. Determine g, given that m(g) = 0.\nAnswer: -6, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3314591261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 7 - (4 + -6). Suppose -f = -0*f - t. Suppose 5*i - f = 5. Calculate the remainder when 9 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 6:29 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15879*i - 17198*i - 89692 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79395 divided by -1185.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8752*f + 8748*f - 168. Let d(u) = 45*u**2 + 2*u - 1. Let i be d(1). Let x = f + i. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*t**3 - 6*c**3*t + 12*c*t**3 + 3*t wrt t.\nAnswer: 6*c**3*t + 72*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**6*v)\/v*v)\/(v*v**2*v*v*v)*(((v\/v**(2\/5))\/v)\/v)**16)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) - ((-16420)\/(-840) - 20)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10641 in 3\/2, 1\/6, 1\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*q - 476 = 3*q, -2*q = 3*l + 472. Which is smaller: 6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4202089 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-72) + (-6)\/(-27)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 6*x**2 + 4*x - 6. Let a be m(-5). Let k be (0 - 0)\/(a + 2). Suppose 76 = 4*f - k*f. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 15359761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2 + 10*c**2 - c**2 - 7*c**2 + 295 - 4*c**4 wrt c?\nAnswer: -16*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Let u(z) = z**2 + 2*z - 2. Is u(v) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 260*z**4 - z + 4 wrt z?\nAnswer: 3120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 0*l + 2*l + (0 + 0 - 2)*(0 + 0 - 2*l) - 39*l + 0*l - 6*l to the form n + t*l and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94623023.\nAnswer: 11, 37, 137, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 129*x**2 + 8*x + 1. Let r(s) = -4*s + 1. Let f(p) = -l(p) + 2*r(p). What is the second derivative of f(w) wrt w?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/11)\/(p\/(p**(1\/6)\/p*p)))**(-36) assuming p is positive.\nAnswer: p**(474\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 13*q - 4*r = -8, -3*r = -7*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -120335.27.\nAnswer: 120329.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74184543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*v + 10, 783*f + 794*f - 1573*f = -49*v - 245 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -37. Is z greater than or equal to -2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -10214034?\nAnswer: 10214034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from {v: 3, y: 13, a: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*c - 252 = 0, -5*q - 3*c = 20*q - 24*q + 80 for q.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a)*(-4*a + a + 5*a)*(-11 - 2 + 3).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 4*l + 0 + 6 - 10. Let t(i) = -i - 1. Give -j(w) + 5*t(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 14. Suppose -5*y + 2*s = 5, 2*s - 3 = -t*y + 9. Let x be y*(3 + 1 + -1). Solve -3*j + 0 = -3*o - x, 3*o + 4*j - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203 - -205. Let w = -2178 + 228692\/105. Let k = -11\/35 - w. What is the second biggest value in p, -3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 47. Suppose -2*h - 6 = -4*h. Suppose 2*u + 3*m = -0*u + 13, -h*u - m = -2. What is the nearest to u in x, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 245157*f**2\/2 - 317109*f\/4 - 99\/4 = 0.\nAnswer: -3\/9614, 11\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 25*t - 72. Calculate z(11).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28117718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7954374 rounded to two dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 + 15581 + 16 + (-3)\/6*-14 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/503 (b) -3\/5 (c) -18\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -378, -766, -1320, -2046, -2950, -4038?\n\"Answer: -i**3 - 74*i**2 + i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558677474 to the power of 1\/2, to the nearest integer?\nAnswer: 39480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 307373 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -26782 + 13381 + 13402. Let k(y) = -3*y + 24 + 7*y + 5*y. Let x(p) = 6*p + 16. Let f(v) = -5*k(v) + 8*x(v). Give -6*b(j) + f(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d - 2*q + 8, -2*q = -3*d. Suppose -d*c - c + 183 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 80736 + -3a?\nAnswer: 806a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/10 - 17)*(12\/(-10))\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121.1 + 2.9. Let m = a + -123.7. Let z be ((-4)\/(-3))\/((-4)\/(-6)). What is the closest to 1 in m, z, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 155*x - 78*x.\nAnswer: 85*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 4, -1, -4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -13. Suppose 3*u - c = 32, -7*u + 52 = -t*u - 2*c. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + -11 + 957 + -1. Let v = w - 1353. Let q = -5908\/15 - v. Sort 0.4, -5, q in descending order.\nAnswer: 0.4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d - 20. What is the remainder when 121 is divided by j(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, u: 1, y: 3, e: 3, g: 2}. Give prob of picking 1 y and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x. Let h(d) = -138988*d**2 + 1149*d. What is r(h(g))?\nAnswer: 416964*g**2 - 3447*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20377 is divided by 725.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 s, and 2 v when four letters picked without replacement from vhvvvvsvvvvvvvvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 12 - 6. Is 556\/5 + j\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47005*h**2 - 46988*h**2 + 16713 - 16713.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4733 - -4688. What is the nearest to l in -5, 0.3, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/11 - 104*y**4\/11 - 1542*y**3\/11 - 4896*y**2\/11 - 3456*y\/11 = 0.\nAnswer: -24, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734863, 734846, 734803, 734722, 734591?\nAnswer: 734398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -123, -475, -1125, -2151, -3631?\nAnswer: -5643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 12*f + 5*p + 672, -f + 4*p = -330. Calculate the common denominator of (-13)\/(-8) + -2 - f\/144 and -109\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, k: 7}. Give prob of picking 2 k.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, 5, 7, 1\/105, 0.1, 8, -2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 42783231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2. Let s(u) be the second derivative of -u**4\/4 + 2*u. Determine w(s(b)).\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 3*g**3 + 7 + 0*g + 3*g + 5 - 10. Let h(a) = -4*a**3 - a**2 + 3*a + 3. Let v(p) = 2*p - 1. Let m be v(2). Calculate m*o(k) - 2*h(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 177.1 * -2.973\nAnswer: -526.5183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59245 and 782323?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 15, e: 3}. Give prob of picking 3 e and 1 u.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -763, -3393, -7893, -14263?\n\"Answer: -935*m**2 + 175*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99, -71, -353, -747, -1253, -1871?\n\"Answer: -56*m**2 - 2*m + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/3*(-6)\/(-5). Let l(g) = g - 1. Let q be l(-4). List the prime factors of r\/q*(-11 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2515 is divided by 607?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 5*o**2)*(-3*o**2 + 0*o**2 + 2*o**2) + 45*o**4 + 99*o - 99*o + 4*o**4 - o**4 - 5*o**4.\nAnswer: 38*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*4\/6. Is 2 - (-1 + (-74)\/r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 2236 = -5*s. Let u be (744\/(-3) - -2)*-1. Let q = s + u. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edeeeeee. What is prob of sequence eeed?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*f + 9910, 33*f + 14870 = 36*f + a. Is f a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + ((6 - 15) + 13 - -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**5 - 4*o**5 + 2*o**5 + (-64*o**2 + 64*o**2 - 11*o**4)*(o + 0*o + 0*o) + (3 + 4 - 5)*(2*o**5 + 2*o**5 - 2*o**5).\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2883\/574 - 84\/41. Find the common denominator of y and -121\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*i - 4 = -292*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549925, 4, -1 in decreasing order.\nAnswer: 4, -1, -549925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:13 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 770\/231 + 4\/6. Sort 3, n, 0, 1 in descending order.\nAnswer: n, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, b: 8, l: 2, d: 2}. What is prob of picking 2 y and 1 d?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 192.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 4)*20\/440.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - 3*z**2 + 2*z**2)*(1 + 2 - 1 + 4 + 2 - 4 - 5 + 3 + 3 + (0 + 3 - 2)*(3 - 3 + 1)) in the form l*z + t + j*z**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 12*n**2 + 16*n + 11. Let w be a(-10). Suppose 93 = -48*h - w. Sort h, -21, -2.\nAnswer: -21, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133098, 266410, 399928, 533646, 667558, 801658, 935940?\nAnswer: 1070398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -700683*i**2*x + 287612*x wrt i?\nAnswer: -1401366*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-178)\/(-14) - 8\/(-28). Let l = h - 9. Factor 0*v**l - v - 2*v**2 + v**2 - v**5 - 4*v**4 - 6*v**3 - 3*v**2.\nAnswer: -v*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-12) + 32\/3)\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -k - 11*k. Differentiate -k - 7*z**3 - 6*z**3 + 5*z**3 + z**3 with respect to z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/28219153?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 213. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c + 51. Let w = 19 - c. Suppose -3*g + 5 = w. Solve 2*a - g = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10.5, -2, 15, -3.\nAnswer: -3, -2, 4, 10.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -31, -38, -45, -52?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26067 divided by -117.\nAnswer: -8689\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 12 - 4 - 9 - 11. Let l(t) = -2. Let s(q) = 1. Let g(j) = -l(j) + s(j). Calculate 2*c(u) + 9*g(u).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/2 + 340515*f\/2 - 1532358 = 0. Calculate f.\nAnswer: -340524, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5949756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 2. Let o be (-3)\/(-6)*-2 - -1. Suppose o = -0*w + 2*w - 4. Determine z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/124)\/((-165)\/3740).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-500)\/7 - 15\/(-35). Let t = -35 - r. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + -4*sqrt(40))*3)\/(-5*sqrt(72)).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a**2 + 0*a**2 + 1 - a**2 + a. Let l(u) = u**2 - 2*u. Let j be ((-8)\/(-10))\/((-16)\/(-40)) - 1. Determine j*l(k) + 2*f(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 23. Let d = i + 9. What is the highest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291593.\nAnswer: 3, 263, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 162*m**2 + 729*m - 142547. Give n(161).\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 3)*(-57 - 22 - 23)*(-m + 0*m + 0*m).\nAnswer: 816*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:32 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-22)*(-347985)\/(-2565)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r. Let d(c) = -c**2 - 3*c**2 + 0*c**2 + 2*c**2. What is j(d(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 30, -1, -5 in descending order.\nAnswer: 30, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 - (-48 + 28 + -87).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/15680 and -141\/1272530.\nAnswer: 40720960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3165\/197 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llaxallavmlvv. What is prob of picking 1 m and 1 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654 - 920 = 19*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) - (sqrt(432) - (sqrt(432) + -4*sqrt(432)))))**2 + sqrt(132)\/sqrt(11) + sqrt(27)*-1.\nAnswer: -sqrt(3) + 106032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 + 77 = 2*i, -55 = -i - 4*t. Let x = -5 - -10. Solve 8*q = -2*h + 3*q - 14, -x*q = -5*h + i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 8. Let x(q) = q + 7. Let v be x(0). Let k(j) = -j**2 + 6*j. Let s be k(v). What is the tens digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + h = 0, -n + 2*h = 15443 - 15423 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -16*h**2 - 474817*h. Let t(o) = -2*o. Calculate t(m(v)).\nAnswer: 32*v**2 + 949634*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*m**2 + 16*m**2 + 199262*m - 199262*m.\nAnswer: 71*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4335*u + 2666 = 4421*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1632 and 483936?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16803, -31598, -46395, -61194, -75995?\nAnswer: -90798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -348, -525, -702?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73431121.\nAnswer: 73431121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5 - 5*c + c + 5*c. Suppose 2*u + 3*t + 14 - 19 = 0, -4*u - 3*t + 13 = 0. Determine x(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 3. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-4)\/((-4)\/(-2))). Suppose 0*c - 2*q = 2*c - 2, 0 = -5*c - q + 13. Put c, 3\/5, i in ascending order.\nAnswer: i, 3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 985*s + 75*s**2 - 985*s + (-5 + 2 + 4)*(2*s**2 + s**2 - s**2) + s + s**2 - s.\nAnswer: 78*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*j**2 - 111*j**2 + 111*j**2 - 97*j**2 - 320 + 320.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 24 = -9, 2785*h = 2780*h + 22*i - 315 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 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: What is -3838407 rounded to the nearest one thousand?\nAnswer: -3838000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/56041188 and 1\/656220.\nAnswer: 280205940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 6\/21 + (-173)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by (0 - (-44)\/6)\/(2\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(448)*-2 + sqrt(448))*-2*1)**2 - (sqrt(140)\/sqrt(40))\/(sqrt(8)\/(sqrt(24)\/sqrt(6))).\nAnswer: -sqrt(7)\/2 + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/10 (b) -4 (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 276675852181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*t + 3*t, -3 = -l - t. Are 2\/239 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -18 - 3*g**2 + 38 - 20. Let o(n) = -6*n. Give q(o(p)).\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 2.6. Let a = f + -1.999. Let w = 0.0009959 - a. What is w rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*i = -104, 2*i + 70 = -4*y + 514. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 5*c**2 + 3. Suppose 0 = -i - 1 + 2. Let b be (-36)\/8 - i\/2. Let z be s(b). Solve -z*w - w + 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 30*a + 1840. Calculate v(-61).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 92 + t**2 - 50 - 2*t in the form g*t**2 + f + z*t and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 122 + (-5*(-2 - -1) - 3). Let o = -36 + j. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89530 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {f: 4, g: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -2*v. Suppose -3*p = -f - 3, 5*f + 2*p - 2 = -0*p. Suppose 2*i - 12 = -t - f*i, 0 = -4*t + v*i - 4. Solve 3 = t*x + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((4\/(-10))\/(-2)). Suppose 5*b - 4*y = -17, g + 3 = 4*b + 4*y. Let k = b - -2. What is the lowest common multiple of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 296\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8898347 decades in years?\nAnswer: 8.898347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5\/3 (b) -0.5 (c) -0.2 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.04, -3.5, -2\/41, -98.8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23538 in 0.069, 0, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 2*z. Let i be n(2). Suppose i = -3*g + 906 + 2010. Suppose -3*m = m - g. What is m rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8800 = 176*z - 132*z. Calculate the highest common divisor of 280 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -464802.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + (-5 - (-5 + 5)) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.696613 litres in millilitres?\nAnswer: 3696.613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Suppose 0*q = a + 3*q - 2, -4*q = -2*a + 4. Let t(l) = -26*l**2 + 17*l**2 + 8*l**a. Calculate b(t(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*x**2 + 133*x**2 - 399*x**2 + 136*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = 87. What is the remainder when t is divided by 2*11\/(-4)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - (-18)\/(-360).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -1\/4 (c) 5 (d) -6 (e) 4\/2853 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 19*h**2 - 3 - 27 to the form y + l*h + w*h**2 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 1, n: 4, j: 3, i: 2}. What is prob of sequence ij?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -32*o + 31*o - 3, z = -o - 7. Let h(s) = 2*s**3 + s**2 + 2*s. Let b(m) = -2*m**3 - 3*m. Give z*b(l) - 3*h(l).\nAnswer: -2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**3\/3 - 17*r**2 - 38*r + 3. Suppose -3*q - 41 = 16. Let s be g(q). Solve 0*b = -s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 8, 20, 36?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:16 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -195.54 from -885568.\nAnswer: -885372.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*z = -5*k - 164, -3*z - z - 5*k + 49 = -8*z + 3*z + 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -2. Let t = a + 0. Calculate the smallest common multiple of 3 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = 5*a, 5*u - 15 = -5*a + 10. Suppose 0 = -a*c - 4*g + 24, -g + 2*g = -3*c + 56. Is 7 a factor of (-6 + 72\/5)\/(3\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -109, -1 in ascending order.\nAnswer: -109, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -613a43 (base 11) to base 14.\nAnswer: -1b9589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1954297 decades?\nAnswer: 23.451564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 0*w + 5*w)*(4*w - 6*w + w + (0*w - 19*w + 2*w)*(4 - 2 - 3)) to k*w + p*w**2 + l and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(4\/22)*24\/12 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -179, -173, -165, -155, -143?\n\"Answer: y**2 + 3*y - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(3\/2)\/b*b\/b**(-2)*(b\/(((b*b*b\/b**(1\/3))\/b)\/b))**44*((b\/b**(-1\/4))\/b**(1\/10))\/(b\/(b\/(b\/b**(1\/3))*b))**(13\/5) assuming b is positive.\nAnswer: b**(1271\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.14 - 31. Let h = -66 - -65.46. Let i = h + f. What is the second smallest value in -2, -3\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 - s**2 + 10*s + 11. Let m be v(-1). Suppose -4*c + 39906 = m*t, 4*t + 9 = 1. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.096976kg?\nAnswer: 9096976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2. Let d(r) = -101*r**2 + 14*r - 264. Let l(o) = 807*o**2 - 110*o + 2068. Let s(x) = 47*d(x) + 6*l(x). What is s(p(v))?\nAnswer: 2375*v**4 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -312 - -320. Suppose -y - 829 = -3*c, -c - p*y + 3*y = -255. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/21)\/((-25)\/(-375)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + g**2)*(-4 - 2 - 1) + 373 + 369 + 14*g**2 - 751 + 97*g**2 as h*g**2 + y + i*g and give h.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gljl when four letters picked without replacement from gdgddjdgdldddldd?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1161 + -516. Suppose -71*t + 3380 - 2528 = 0. What is the remainder when q is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*g - 103 - 13, -3*z + 5*g + 173 = 0. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 0.42?\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 502939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 5. Let j be u(-7). Let i = -5 + j. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + h - 1. Let b(j) = -7 + 13*j - 13*j**2 - 4 - 2*j + 0. Determine -2*b(q) + 22*x(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13012*m*q**4 - 3*m*q**2 - 2*m*q + 11*m - 7*q**3 - 178*q + 1 wrt q.\nAnswer: -156144*m*q**2 - 6*m - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1433, -1440, -1449, -1460?\n\"Answer: -w**2 - 4*w - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/13 - -153\/52. Suppose 3*a + 2*h + 4 = 0, -6 = -2*a + 7*a + 3*h. Factor 1\/4*q - z*q**2 + a.\nAnswer: -q*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -28. Find the common denominator of 57\/16 and 2\/(-12)*(-238)\/u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31499 <= -220494\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/6749 and -29\/25408.\nAnswer: 431936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -11*y + 196. Let b be v(18). Let n = -3.1 + 0.1. Put n, 4\/7, b in decreasing order.\nAnswer: 4\/7, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 - -373. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 19101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxnxdvdddddxddxdvxn. Give prob of sequence ddd.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 759265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 26*c**3 - 26651 + 10*c**3 + 26651 - 6*c.\nAnswer: 36*c**3 + 2*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544) + 2*sqrt(544))\/sqrt(2).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53781 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -122\/3 (b) 5\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*m - 20, 5*q + 16 = -5*m + 66. Suppose r = m*r. Let y = 0.15402 + -0.25402. Put r, -1, y in decreasing order.\nAnswer: r, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-6 - (-9 + 19)) + -4\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111701569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) - 2\/3. Let o = -17 - -16. Which is the nearest to o? (a) d (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:57 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 90011818706024 and 6.\nAnswer: 90011818706030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, c: 4, i: 1, e: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2768 (base 14) to base 13\nAnswer: 321a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*n + 2*t, -n - n + t = -9. Let i(y) = -y**2 + 3*y + 9. Let v be i(n). Calculate the highest common divisor of v and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2778 - -2768. Let c(i) = -i**2 + 9*i + 1. Let s be c(9). What is the nearest to s in 5, k, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.6, -0.2, -0.4, -2.\nAnswer: -3, -2, -0.4, -0.2, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-19 - (-30 + 13 + 24))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4744.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from zmbvbcccmcb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -16 + 11 - -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from ttntntttttnnn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43119 - 144695. What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-117) + 8\/126?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -341, -1354, -3025, -5348, -8317?\n\"Answer: l**3 - 335*l**2 - 15*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p + 4 = 0. Suppose p*s = 4*s. Let j = 6 - 11. Do s and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 0 + (0 - 7) + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {o: 1, n: 1, p: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90052609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -151, 15, -77 in descending order.\nAnswer: 15, 1, -77, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -24 + (-15895)\/(-20) + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81199, 163073, 244949, 326827, 408707, 490589?\n\"Answer: d**2 + 81871*d - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 721242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 2. Let a(w) = 19958*w - 14088. Calculate a(m) + 7044*i(m).\nAnswer: -1174*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117498 is divided by 107.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16975050*c - 30327348 wrt c?\nAnswer: 16975050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312714.\nAnswer: 2, 3, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -1549*n**4\/2 + n**3\/3 - 320*n**2 + 2*n + 403. What is the derivative of w(q) wrt q?\nAnswer: -18588*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3675*z + 1. Let w(c) = 8*c. Determine i(w(g)).\nAnswer: -29400*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243*b + 10 = -1238*b, -30 = -3*x - 3*b for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i - 15 = 0. Solve -2*r - v + 3*v = 4, -i*r + v - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1555851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)*g)\/g*g\/(g\/g**(-1\/31)*g) assuming g is positive.\nAnswer: g**(-404\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 3*t**3 + t**3 + (-5*t**2 + t**2 + 2*t**2)*(-4 + t + 4))*(-5*t + 2*t - t) - 420*t + 420*t + 20*t**4 - t**4 - t**4 + 3*t**4.\nAnswer: 41*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -62*v. Let r(y) = 33*y**2. Give r(t(s)).\nAnswer: 126852*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37267 - -15313. Let s = -52623.9885 + f. Let v = -44 - s. Round v to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*v - 26 = -j, -4*j - 21 = 3*v. Let d be ((-11)\/1)\/(1\/(-1)). Suppose -2 = -f + 3*c, -d + 1 = 3*f - 5*c. Is f bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103445 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 3*d + 8. Let k = 0 - -33. Let r(t) = 0*t - 28 - 2*t + t**2 + k. Suppose -n = n - 10. Calculate n*u(x) - 8*r(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -26. Suppose 5*b + 23 = -d, 3*b + t + 0 = -d. Suppose 283 + 93 = 4*z - d*k, 6 = -3*k. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6 = t, -4*u + 6*t - 30 = -40 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6643796 bigger than -26575189\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41416 - -2 - 7\/((-35)\/(-25)). Suppose 4*c + 2*f + 10973 = b, 3*f - 15224 = -2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/42 + 15*s**6\/4 + s**5\/12 - 75*s**4\/4 + 58*s**2 - 2. Determine w, given that b(w) = 0.\nAnswer: -1, 0, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -484792.233 and -3.\nAnswer: -484795.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 293 = -84. Suppose -4*p + 12 + 2 = -3*z, -p + 4*z = -10. Suppose p*i - 682 = -240. What is the greatest common divisor of n and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 3*r**2 + 0 - 1\/12*r**5 + 0*r**4 + 0*r + 0*r**3. Let v(j) be the first derivative of j**3\/3 + 10. Give l(v(s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 84155*x + 1262160. Calculate i(-15).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (9\/3 - -38). Let z = p - -50. Solve 3*o - 30 = 5*l - 2*o, -l - z*o = -24 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - u**2 + u - 9. Let h be 8*((-1)\/(-4) - 0). Suppose 0 = -4*m - 20, h*i + 0*m - 5*m - 25 = 0. Calculate j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 7*r + 8. Let b be m(6). Let c be (30\/12)\/((-2)\/4). Let d be (c + 4)*-11*1. Solve -w + d = -3*t - 3*w, b*w = -5*t - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 176, -1\/2, 0.2167, -3\/4 in increasing order.\nAnswer: -3\/4, -1\/2, -0.4, 0.2167, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 0 - (-72)\/24. Solve -2*k - 4 + 32*k**2 + c - 30*k**2 + 2*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333 by 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28102.1 * -0.035.\nAnswer: -983.5735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.631, -0.8, 0.4, 3, -2\/5 in ascending order.\nAnswer: -0.8, -2\/5, 0.4, 1.631, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/283 in -15, 1, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -24*g + 21*g. Suppose y - 758 = -f + g*y, 5*f - 3790 = 3*y. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -84, -184.\nAnswer: -184, -84, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4. Let j(w) = -w + 9. Let o = -26 + 24. Give o*j(g) - 5*x(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.2. Let v = -1.2463 - -0.1213. Let c = v + 50.125. Is c equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, 0.2, -0.22, 0 in increasing order.\nAnswer: -1\/4, -0.22, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 104. What is the highest common factor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1304*i - i**3 - 1302*i - 4*i**2 - 27 + 4*i**2 as p + g*i + a*i**2 + k*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/3)\/(2\/(-6)). Let k = d + -11. Suppose o - 3*t = 4, 2*o - 35 + k = -3*t. Calculate the remainder when 19 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1)*(-45)\/225*(-62)\/31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Let c(w) = 3*w**2. Give u(c(b)).\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*12\/(-16)*36\/12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11060.54 - -0.032594\nAnswer: -11060.507406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403665718 to the nearest integer?\nAnswer: 20091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69227 is divided by 32929?\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1313*s - s**3 + 2704*s - 1357*s + 2*s**2 - 1 + 1 - 1 to the form x + c*s**3 + o*s**2 + z*s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3a7323 (base 11) to base 16\nAnswer: -9c124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -15. Suppose -y = -5*n + 1. Let x = n + -1. Solve 0 = -q - x - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 9 + 4 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43 and 1369.\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1303, 3 in ascending order.\nAnswer: -3, 3, 1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/10 + (-5)\/18. Let i = -154 + 146. Sort i, -1\/6, c in increasing order.\nAnswer: i, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {k: 2, t: 1, f: 4, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3\/2)\/(18 + (28 - (-3 - -43)))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 65 = 3*x - 133, 0 = -2*x - 2. What is the remainder when d is divided by 45?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5942*h - 41574. Determine r(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129478017 + 80827.\nAnswer: -129397190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g + 75 - 75)*(-15 + 9 + 6 - 46*g).\nAnswer: -736*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 4*m, -4*f + 2*m = -1 - 5. Suppose 4*x - 10 - 6 = 0. Solve -12 = -4*t - x*c, f*c - 3*c = -t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 33. Let c be (0\/1 - -4)*p\/(-12). Suppose -c*t + 22 = 12. Solve 0*j + t*f = 3*j + 6, -3*j = -2*f - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4437 * -16.6.\nAnswer: 23.96542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -331 + 5638. Suppose 1791 - o = -12*b. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 230 = -3*h, -8*p + 4*p = -5*h + 406. What is the highest common factor of h and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/7)*g**(2\/11)\/g assuming g is positive.\nAnswer: g**(-85\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -15. Let i = 289 - 266. Let f = k + i. Which is the second smallest value? (a) f (b) -3 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/8 - 45*w**4\/2 - 609*w**3\/8 + 879*w**2\/2 - 189*w\/2 - 588 = 0. Calculate w.\nAnswer: -56, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:38 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/84 - -1)\/(1\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19880*a - 19876*a + 4 = 0. Let p(j) = -2*j**3 - 5*j**2 - j + 2. Let v(g) = g**3 + g**2. Give a*p(m) - 3*v(m).\nAnswer: -m**3 + 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13768, -13769, -13770?\nAnswer: -13771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**2 + 6*p - 2879. Let r(z) = -3*z**2 + 53. Calculate q(r(b)).\nAnswer: 54*b**4 - 1926*b**2 + 14293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 21*z + 102. Let y be g(21). What is the greatest common factor of y and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 80 = 4*g. Let r = -55 - g. Is (-389 - r)*1\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*x. Suppose 5*v - 4*l = -247, 0*l + 261 = -5*v - x*l. Let w = v - -112. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/3))\/k)**24\/(k**0)**(1\/3) assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9 and -7361.\nAnswer: -7361.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2996079 (base 12) to base 13\nAnswer: 198538b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v - 5. Suppose 2 = -c - 2. Is k(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 34*y**3 + 461*y. Let z(j) = -3*j**2. What is z(m(l))?\nAnswer: -124848*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2500 divide 44116114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.8 in 3, -1\/2, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*k + 3*f, 0 = 4*f - 5*f + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985*v + 560*v = -579*v - 1694 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 1167 - 1178 - 89*x**2 to c*x**2 + k*x + a and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v - 18*v - 3. Suppose -5*s + 498 = 3*j, -3*j + 0*j - v*s = -498. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2025 - 1934. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.1 + -10. Let m = 0.4399 + -0.0399. Which is the smallest value? (a) m (b) 2\/7 (c) 9 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201659441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10853139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**3 - 4*i - 253*i**2 + 24 - 25 + 255*i**2 in the form u*i**2 + j*i + y*i**3 + v and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**2 - 2 + 2*s**3 - 4*s**2 + 2*s**2 + 0*s**2 in the form u*s**2 + l*s**3 + d*s + x and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39822*p**4 - 2*p + 16857?\nAnswer: -477864*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxkxkk. What is prob of sequence xk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/333 or -1?\nAnswer: 4\/333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1395)\/(-12) + (1 - 2). Let h = -114 + z. Let j be (-6)\/(-9) - 150\/198. Put h, j, -1 in descending order.\nAnswer: h, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g + 65. Find the common denominator of -35\/16 and (-3537)\/936 + (-2)\/g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 371010.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37366\/72315 - -9\/1607. Find the common denominator of -14\/27 and m.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 r, and 1 a when four letters picked without replacement from {f: 3, a: 2, t: 2, o: 3, v: 1, r: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1987 - -1985. Put -17, s, 2\/19, 1 in increasing order.\nAnswer: -17, s, 2\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17330 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 8 = 3*p, -18*f + 14*f - 7*p = -57 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x - 1642. Let w be b(0). Let n = w - -6701. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 6537. Let s(q) = -37*q + 58845. Give -2*s(n) + 19*z(n).\nAnswer: -2*n + 6513","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -68, 3, 19 in ascending order.\nAnswer: -68, -1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -0.92. Let r = -0.18 + y. What is the third biggest value in 3\/2, r, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 326, 613, 902, 1193?\n\"Answer: m**2 + 284*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345*g + 56 = -4*y - 1349*g, -2*g + 7 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*n + 3, i + 724 - 715 = 4*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5425 = 3*a - 5422, 2*q + 2 = -2*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 9. Let h = 69 - z. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {p: 7, x: 6, o: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 2, 4 in increasing order.\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 452385688 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2940 = 4*b. Let d = b - 402. What is the highest common divisor of d and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(216)*3 - sqrt(216))\/(sqrt(12) + sqrt(1200)*2).\nAnswer: -1 + 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/4)*p)\/(p*p*p*p**(-1)))\/(p\/(p*p\/(p**(5\/4)\/p))*p\/(p**4\/p)))**25 assuming p is positive.\nAnswer: p**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/(b*b\/((b*b*b**(-11)*b*b)\/b)))\/b*b*b\/((b*b**9)\/b*b*b)*(b*b\/(b\/(b\/b**(-7))*b))**(5\/2) assuming b is positive.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1139 - 164 = 15*m. Let v be m\/35 + 6\/42. Factor 44*u - 27 + 190 - 16 + v*u**2 + 95.\nAnswer: 2*(u + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + (-40 - -30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*p - 44, 2*r + 124*p = 120*p - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27214764 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 7*q**2 + 6*q. Let n be v(-6). Suppose o = -n*o. Suppose z + o*z + 4 = 4*t, 0 = -z - 2*t + 8. Solve 0 = -5*u + z*f - 2, u = -f - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = p. Let i = -33 + 32.98. What is the second biggest value in i, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1626*f - 36 = 1622*f. Suppose -4*q + 2 + 6 = -4*g, q - 4*g = -10. Let o(s) = -s**2 - 2. Let p(l) = 3. What is f*o(r) + q*p(r)?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Solve -5*t = 2*l - 18, -t - l = -a*l + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7313\/190 + -1\/95. Suppose l - 16 = 5*l. What is the common denominator of a and (-2)\/l*(-2 - 41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/3 + 8*x**3\/3 - 6*x**2 - 17*x - 13. Let p(z) be the first derivative of h(z). Suppose p(g) = 0. What is g?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2. Let t(r) = 9*r. Let s(a) = -a + 32*a + 13*a + 15*a - 15*a. Let i be (27\/(-12))\/((-3)\/32). Let f(n) = i*t(n) - 5*s(n). Determine x(f(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5*z + 0*z)*(-2*z**2 - 2 + 2)*(-3*z**2 - 8*z**2 - 9*z**2 + (3*z + 0*z - 5*z)*(-4*z + 0*z + 2*z)).\nAnswer: 96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 19 = 2*z - 5*o, 0 = 4*o + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**5*n)*n)\/n**7)**(3\/25) assuming n is positive.\nAnswer: n**(-33\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (346458\/18)\/(-1)*-3. Suppose -g = -5*b + 2*z, -b = -3*z - 2*z - 11544. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 23*c - 85. Let l(m) = 7*m - 28. Let h(a) = -10*l(a) + 3*v(a). Give h(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*x = 10*x - 6, 3*x - 6 = 0. Solve r*l + 20 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-6\/5)*b*b*b**(-1)*b*b*(((b\/(b*b**4))\/b*b)\/b*b)\/b**4 assuming b is positive.\nAnswer: b**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2439 + -1179. Is 45 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12057 - -27700. Suppose -30*f + 148153 = x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40832 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 16.4. Let x = 1.4 - 2. Let l = s - x. What is the biggest value in l, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20 = 3*l + z, 5*l + 4*z = 4. Suppose 0 = -4*p - 2*v + 68, -3*p + 3*v + 34 = -p. Let r = 6 + -3. Solve -p = 3*w + l*j, w + 0*j + r*j = -14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*h + 3080 - 800 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 - 37. What is the remainder when o is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841876477 to the power of 1\/2, to the nearest integer?\nAnswer: 53309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9919776 divided by -4584\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 10 - (-3 - (7 - 6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -o + 69, -3*o = -0*h - 2*h - 79. Calculate the common denominator of -26\/5 and (-108)\/(-3)*36\/h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 112*v + 786. Let a be o(-7). Determine w so that 3*w**a + 0 - 3\/5*w = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23242004 a multiple of 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 697 + -585. Suppose 2*l - 5*r - 31 = 0, 3 = -3*r - 0*r. Calculate the remainder when s is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -461, -1558, -3685, -7184?\nAnswer: -12397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -413254 + 431?\nAnswer: -412623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from hhxhxhxh?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/21)\/(15\/30). Let p = 0.03 + 3.97. What is the third biggest value in p, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -16912049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4565)\/747 + 42\/7)\/(17*(-1)\/6)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 74071 = 34*p + 2*u, 5*p - 3*u - 74069 = 0. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -13 - 17. Suppose -3*m - 4 = -i. Suppose 0 = 168*f - 210 - 462. Put 3, f, m in descending order.\nAnswer: f, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + 164*b**2 + 229*b - 162. Determine r(56).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 20. Give p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(-3 + o**3 + 3) + (0*o + o - 4*o)*(-2*o**2 + 5*o**2 + o**2).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 3*d + 0*d)*(-1 - d + 1)*(4*d - d - 2*d)*(-15 + 15 - 16*d) as t*d + v*d**4 + w*d**2 + s + j*d**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*d - 50 = -0*j, -2*j + d + 38 = 0. Let x = j - 11. 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: Collect the terms in 5*u**3 - u**2 - 3*u - 196 - u**2 + u**3 - u**2.\nAnswer: 6*u**3 - 3*u**2 - 3*u - 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -76811, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-9 + 22 + -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, 3, -169 in increasing order.\nAnswer: -169, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -20. Let x(y) = 4*y - 13. Let z be x(a). Suppose 4*f - 2*h - 50 = 0, 5*f - z = 2*f + 4*h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 378 - 280. Is (j\/6)\/((-66)\/(-26532)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 9, b: 2, n: 4, g: 1}. Give prob of picking 1 b, 1 n, and 1 g.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1696 and 2809?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.0609 rounded to 1 dp?\nAnswer: -173.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + m**3 - 56*m - 5*m**3 + 5*m**2 - 3*m**2.\nAnswer: -4*m**3 + 5*m**2 - 56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3695390958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178445.104 + -178441.40399915. Let i = r + -3.7. What is i rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 12:49 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -0.4, 0.5 in increasing order.\nAnswer: -78, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 348*c - 352*c = 20, -3*n + 3*c - 3 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, 2976?\nAnswer: 2976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/6 and -83\/2826112.\nAnswer: 8478336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m + 52 = -29*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 7, 489, 79 in decreasing order.\nAnswer: 489, 79, 38, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmc when three letters picked without replacement from gemggcm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 3, s: 6, x: 2}. Give prob of picking 1 b and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 + 24933*c + 24936 = 0 for c.\nAnswer: -1, 8312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(72)*2 + 5 + 4 + 2*(0 + sqrt(72) + 2))**2.\nAnswer: 1920*sqrt(2) + 6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2055 + -2040. Calculate the smallest common multiple of 74\/6 + (-2)\/6 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 11*y - 16*y. Let z = -30 + y. Suppose 2*a + 5*b = 30, -z*b - 59 = -2*a - 11. What is the least common multiple of a and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-1))\/342)\/((-1)\/3)*4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Let g(f) = 39*f - 18*f - 24*f. Calculate g(b(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 - 9*k**2 + 15*k - 25. Calculate q(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 7930.\nAnswer: 71370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/10)*q**(1\/9)*q*q)**(-6\/7) assuming q is positive.\nAnswer: q**(-271\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 25*q + 138. Let t be u(-17). Solve -3*v = -t*g + 21 - 2, 0 = 5*v + 25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:54 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -831, -3604, -8345, -15054?\n\"Answer: -984*w**2 + 179*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y**2. Let k(r) = -2202*r - 444. Determine k(v(g)).\nAnswer: -37434*g**2 - 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 153345971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/80)\/(26\/8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_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: Simplify -5*sqrt(243) - 2*(sqrt(6)\/sqrt(2))**2.\nAnswer: -45*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:12 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312 divided by -4.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2039 is divided by 1928.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*f**2*z**3 + 8*f**2 - f*z**2 + 7*f*z + 5*z**5 wrt z?\nAnswer: 90*f**2 + 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5236721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -302081393 divided by -2\nAnswer: 302081393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 8*v. Solve 5*d - 7*d = v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -229, -172?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.248? (a) 2\/21 (b) 1 (c) 2\/31 (d) -2\/3 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1975195 - 4377.1535195. Let c = l - -4367. Let o = c + 10. Round o to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - 5*j**3 + 2*j**4 + (-j + 1 - 1)*(3*j**3 - 2*j**3 - 13*j**3).\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 3*k**2 - 4*k - 29. Let n be l(-4). Let z be 18\/(-6) - -1 - (-8)\/n. What is the closest to -1 in 0, z, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076471883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (5 + sqrt(13) + 3)) + (sqrt(130)\/sqrt(5))\/sqrt(2))*1)**2.\nAnswer: -16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 42. Let p(i) = -i - 5. Let d be p(-15). What is the biggest value in d, r, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000014 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 11.3697 and -1888 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, 4, 29, 64, 109?\n\"Answer: 5*u**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116302.440984 + 116303. Let u = 0.559 - l. Round u to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5760)\/1408 - 30\/33. Let y = 48 + -74. What is the closest to 0.1 in y, g, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18722101742 + 18722101830.99999761. Let s = 89 - m. Round s to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 29*h + 7*h + 0 - 16*h to the form m*h + x and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*d - 87, -d = 3*u + u - 116. Let q = u - -67. Let z = 21 - 9. Calculate the highest common divisor of q and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 7*j**2 + 8*j + 3. Let r be y(8). Let 117*o - 25*o - 31*o**r + 20 - 72*o**2 - 8*o**4 - 37*o**3 + 36 = 0. What is o?\nAnswer: -7, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128026 + -48176. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i - 16. Suppose -2*p = -i*o - 90, 0*o + 224 = 4*p + 3*o. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 7 = -2*w + 6*w, 2*w - 2*r - 14 = 0. Suppose 5*k - 6669000 = w*k. Round k to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 183*l - 32. Give g(-61).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 85531576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 271753128*z - 4615610161111524 = 0.\nAnswer: 33969141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3648810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 29\/4. Let g be (0 - 2)\/(137*1). Let r = 562\/959 + g. Sort r, x, 2\/7 in increasing order.\nAnswer: x, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -50. Suppose 0 = 4*c - a + 16. Suppose -2*w + 1110 = c*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose -j*v + 20 = 2*v. Solve v*g = 5, -4*g + 7 = -0*c - 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (((-28)\/3)\/4)\/(19\/114)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/168)*5*(-18)\/135?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:39 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/24)\/(-6 - 176\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - 2*o**5 + 3*o**5 + (1 - 1 - 1)*(5*o**5 - 2*o**2 + 2*o**2) + (-3*o**2 - 2*o**2 + 2*o**2)*(o**3 + 2*o**3 + 0*o**3).\nAnswer: -11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b + 540. Let f = b - 61. Let j = f + -9. Calculate the highest common factor of 95 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 7876008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12061 is divided by 218?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 9*j**2 + 13*j + 20. What is the remainder when 238 is divided by k(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/20 - 2*z**4\/3 + z**3\/2 - 25*z**2\/2 + z - 5. Let t be q(8). Which is bigger: -0.52 or t?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*v + 8, -4*v - v + 20 = 4*x. Let y be x\/1 - (-2 + -2). Let g = 34 - 27. Solve g*n - 22 = r + 2*n, -20 = -y*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 213\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -463005\/19 + 24379. Let u = -515\/114 - x. Calculate the common denominator of u and (-190)\/16*2 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650180 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*q + 3 - q + 0*q - q + 2*q + q - q - 1 + 1 + q + (-2 - 2*q + 2)*(-3 + 2 + 3) - 3 + q + 3.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.274796738 + -0.2748. Round x to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 332121?\nAnswer: -332114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390801.\nAnswer: 7, 341543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 + bbb?\nAnswer: c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 131*k - 523\/4*k**2 - 1\/4*k**3 + 0 = 0. What is k?\nAnswer: -524, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13175 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 661283 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 + 9*v + 15. What are the prime factors of k(8)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 304, 307, 310, 313, 316?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*a**3 + 1 + (-2*a + a + 2*a)*(-a + a - a**2) - 2*a**3 + 0*a**3 + 0*a**3 + 5*a**2 - 12*a**3 - 225*a + 225*a + 3.\nAnswer: -17*a**3 + 5*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60 + 2)\/((10 - 0)\/30). Calculate the greatest common divisor of 93 and q.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13605283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*2)\/(sqrt(2) + (sqrt(50) - sqrt(350)\/sqrt(7))) + -4*(sqrt(220) + 4*(sqrt(220) - sqrt(220)*-2))\/sqrt(5).\nAnswer: -98*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u - 2*u. Find the third derivative of -2*n**2 - 5*n**5 - u*n**2 - 4*n**2 + 0*n**5 wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + 425\/(-4))\/(36\/(-3168))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30634 - 7?\nAnswer: -30641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 477884 = -149860 + 467274. List the prime factors of z.\nAnswer: 56807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-10)*35\/(-14). Suppose -k*j + 3 = -9. Suppose 77 = w - 0*w + 4*d, -j*w - 2*d + 322 = 0. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/22*((-78)\/104)\/(1425\/(-1520))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1246.54, 3\/8, -1\/2, 4, -91, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*g + 2*w, 3*g - g - 48 = 4*w. What is the greatest common divisor of g and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2443152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u - 4. Let g = -15 - -17. Let p be 0 + -14*g\/(-4). Suppose w + 2*y + 10 = 0, w - 3*y - 8 = p. Determine i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 716, 5, -10\/7, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 11*z - 15. Let s be y(-9). Solve f - s + 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d**4\/2 + 453*d**3\/4 - 68142*d**2 + 1761012*d + 5436288 = 0. Calculate d.\nAnswer: -96, -39\/14, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5 - 17738013*p**4 + 35476035*p**3 - 17738019*p**2 = 0?\nAnswer: -5912673, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/336*12*2*-8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27636 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 14) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 5. Let f(d) = -d + 5. Let a(m) = 5*f(m) + 6*x(m). Let q be 3\/9*(0 + 21). What is a(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 - 2.5. Let v = k - -3.6. Which is the second biggest value? (a) -2\/5 (b) v (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + x + 1 = 9, 0 = -2*z + 3*x - 8. What is the third derivative of -2*g + 2*g - 6710*g**6 + 6741*g**6 - 41*g**z wrt g?\nAnswer: 3720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-171990060.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/666 and -125\/5994.\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*y**3 - 4184 + 4184 + 150*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119694085 and 17885?\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -6 - 4) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 685\/14. Find the common denominator of t and 4 + (-15)\/(-42) - 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434 - 207 - 5*n - 227.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 15. Let r(w) = -2*w + 0 + 0. Is r(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 3*m**4 + 3*m - 22 - 26 to v + y*m**4 + d*m + x*m**3 + w*m**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1039)\/72730*(-20)\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = -2*s, 7*d - 6 = -3*s + 8*d. Let r = 4 + -6. Let k be 19 + s + 10\/r. Calculate the greatest common divisor of 176 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 395360.\nAnswer: -39536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1028525\/(-350))\/((-7)\/406) + 2\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70756\/(-931) + (106 - -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 4*q**2 - 3 - 7*q**2 + 4)*(-42*q + 66*q**3 + 42*q).\nAnswer: -198*q**5 - 198*q**4 + 66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 1440 = 6*a + 10*a - 5*a for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21710 - 1110?\nAnswer: 20600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**2 - 33*i - 3. Let z be y(-4). Suppose 2*k - z + 19 = 0. Solve k = -4*h + 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306.07 plus 8.03605786?\nAnswer: 1314.10605786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1396083*g - 1395596*g - 1 - 8 + (5 - 2 - 1)*(-g + 3*g + 0*g) in the form h + t*g and give t.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**26\/m**(-18))\/((m\/(m\/m**(-3\/11)))\/(m**(-3)*m)) assuming m is positive.\nAnswer: m**(465\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v\/v**(-30))))\/v*v**(-26)*v**16*v\/(v\/(v*((v*v*v**(-5\/4))\/v)\/v)*v*v*v) assuming v is positive.\nAnswer: v**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 31. Suppose -6*d + n*d = -5*g + 28, 15 = 5*d. Solve -x - 12 = 5*m - g*x, -4*m = -4*x + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 372276, 373155, 374034, 374913, 375792, 376671?\nAnswer: 377550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102111 (base 3) in base 16?\nAnswer: 40f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:40 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 22*c**2 + 25*c - 104. Let y be k(21). Let f be 1 + (-110)\/(y\/4). Calculate the highest common divisor of 575 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o*o**0*o*o*o)\/o**(-2\/3))**(-20))**24 assuming o is positive.\nAnswer: o**(-3680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1300124 or -6500621\/5?\nAnswer: -6500621\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3132\/7 in 3, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2960.98935 + 2961. What is j rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 + 2224*i**2 - 2221*i**2 + 2*i**3 + 8 + 8 - 5 to the form x*i + z*i**3 + d + l*i**4 + k*i**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -8. Let a = p + 5. Suppose a*i = -i + 12. Are 2 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*f + 2225 = 0, 0 = -15*z + 17*z - 3*f - 895. Calculate the lowest common multiple of 65 and z.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -6*w + 4. Let i be ((-8)\/2)\/w*0. Find the second derivative of 38*s - 7*s**5 + i*s - 4*s**5 wrt s.\nAnswer: -220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20743464880 to the nearest 1000000.\nAnswer: -20743000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = 25*u + 54. Suppose f = 1051 + u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**5\/80 + 7*p**4\/24 + 49*p**3\/24 + 51*p + 16. Factor i(j).\nAnswer: j*(j + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 11 (c) -65 (d) -1\/4 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145258079 to the power of 1\/4, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlqttltltfflfml. What is prob of sequence tm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13282.9981 - 13283. What is a rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1337, 1414, 1479, 1526, 1549?\n\"Answer: -t**3 + 84*t + 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/30 + 3*g**4\/8 - g**3 - 154*g**2 - 2. Let f(z) = -z**2 + 5*z - 3. Give -5*f(l) + 3*v(l).\nAnswer: -l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 20*o\/3 + 4550\/9.\nAnswer: -2*(o - 65)*(o + 35)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 58*c**2 + 474*c + 129. Determine t(48).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 183000 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 10. Let x be 1\/((2\/q)\/(-1)). Suppose -16417 = -x*k + 319583. What is k rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -18. Let u = -2 - f. Calculate the highest common divisor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -992 * 8.6\nAnswer: -8531.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*x + 13. Which is the nearest to x? (a) 1 (b) -2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 453809174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 8c?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 34) + 12 - -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*o*z**2 + 11*k**3*o*z - 1914*k**3 + 51*k**2*o*z**2 + 2*k**2*o*z - 9*k**2 + k*o*z**2 wrt k?\nAnswer: -12*o*z**2 + 66*o*z - 11484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (136\/1190)\/(2\/(-5))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l - 35 - 52 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 12:44 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 5)*(-3*r + 4*r - 3*r) - 5*r + 2*r + 2*r + 4*r - 8*r - 7*r + (r + 2*r - r)*(1 + 2 - 1) + 2*r + 0 + 0)*(2*r + 2*r + 3*r).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1\/4*k**4 - 1\/2*k**6 + 5\/6*k**3 + 1\/2*k**2 - 11\/10*k**5 + 31 + 0*k. Find t such that u(t) = 0.\nAnswer: -1, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 19 + 18 = -2*i, -54 = 4*x + 5*i. Let v(s) = s + 14. Determine v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w = 66*w + 4*d - 16, -4*d + 28 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262 - -267. Suppose -x + 3*n + 37 = -0*n, -2*x + 69 = -f*n. What is the least common multiple of 76 and x?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 106\/39 - 6\/(-18). Let u = 93\/130 - a. Is 3 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 40809 and 1.5.\nAnswer: 40810.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 14 = 5*t - 75, 5*t = -3*j + 59. Suppose t*d = 3*d - 240. Let q(h) = -2*h**2 - 8. Let k(y) = -1. What is d*k(m) + 3*q(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4010197793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -683 - -1295. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 203, 510, 939, 1490, 2163, 2958?\nAnswer: 3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(1100) + 1 + sqrt(1100) + 5 - (sqrt(1100)*-1*-4 + (sqrt(1100) - sqrt(1100)*-1)*-5)))**2.\nAnswer: 2400*sqrt(11) + 110144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-4)\/(-1))\/4)*147\/98?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1\/120*f**6 - 1\/20*f**5 - 1\/2*f**3 + 1\/24*f**4 + 0 + 0*f + 10*f**2. Give s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -2. Let c be 3024\/176 - v\/22. Find the second derivative of 31*h - 10*h - 16*h**2 - c*h wrt h.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2943528*i**3 - 9*i**2 - 44852*i + 4 wrt i.\nAnswer: -17661168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.48 + -114.52. Let g = w - -116.6. Which is the closest to -1? (a) 14 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Suppose 3*y - 7 = i*u, 0*y + 31 = 4*u + 3*y. Calculate the remainder when 10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -31.4. Let l = j + -30.6. Let q = -13 - -8. Which is the second biggest value? (a) -0.5 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310428 divided by -3.\nAnswer: 103476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1053\/(-132) - (-16 + -2 + (-5010)\/(-501))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3624*i**3 - 1075.\nAnswer: 10872*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873 divided by -1.\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218130478 to the power of 1\/4, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyydydyddyyyy. What is prob of picking 3 y and 1 d?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(648) - (-5 + sqrt(648)*-4 - sqrt(648))))**2.\nAnswer: 17280*sqrt(2) + 373648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 908 - 870.9. Let n = -37 + o. Which is smaller: -7\/16 or n?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2.8, 0, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 970*(-1250)\/(-4)*32. What is z rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/8, -5\/57, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 9*i**2 - 8. Let f be j(9). Let n = -151 + 159. Calculate the remainder when f\/(-2 + (-8)\/(-5)) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/35 - 533\/105. Let c = 584\/5 - 4328\/35. Find the common denominator of c and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7945*a**2*r**3 - 3*a**2*r + 16*a*r**3 - 375*a wrt a?\nAnswer: 15890*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4576 + -150979\/33. Let y = 6\/11 - g. Put y, -12, 0.2 in ascending order.\nAnswer: -12, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -8 (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.028 (b) 0.0526 (c) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-102)\/9 - 2\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 8:08 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 40*f - 4. Let i(k) = -18*k**2 + 247*k + 25. Let z(u) = 4*i(u) + 25*t(u). Solve z(y) = 0 for y.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let h = -116\/345 - -14\/69. Put 0, m, h in ascending order.\nAnswer: h, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9 and 107\/11904.\nAnswer: 35712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 - ((4 - 2) + -4). Let f = -8 + 10. Calculate the common denominator of 65\/8 and f\/i - (-146)\/168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f - 3*l + l, f = -3*l + 3. Suppose f = -8*u + 35. Let q be -5*(1\/(-3))\/(u\/12). Solve -5*k + k - h = -9, -q*h - 3 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247 + -162. What are the prime factors of m?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27 - -6 - (5 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-306) + (-15)\/17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93798921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 16691.\nAnswer: -26\/16691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -g - 4*u, g - u - 128 = -4*u. Suppose -i + g + 15 = 0. Suppose d - 6*d + i = 0. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 2*d + 149. Give u(0).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 721221022 to the power of 1\/2, to the nearest integer?\nAnswer: 26856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74207963 to the power of 1\/2, to the nearest integer?\nAnswer: 8614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 2. Let t(i) = 4 + 0*i - 3*i + 1 + 8*i. Let m(x) = x + 1. Let f(l) = 22*m(l) - 4*t(l). Calculate -3*a(w) - 2*f(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -x + 38. What is the greatest common factor of 256 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p - 57*p + 544. Suppose -14388 = -4*w - 3*z + 7*z, 3*w - z - 10781 = 0. Is w\/(-12)*(-12)\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65400)\/11445*(-1)\/(-2)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*3736.\nAnswer: 2988.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*v + 34, -4*g + 250 - 452 = 5*v - 244 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -39*h. Let y(k) = -3*k + 29. Calculate y(m(q)).\nAnswer: 117*q + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*1 + sqrt(18))**2 + -3)*-5 + sqrt(72)\/(5*sqrt(16)\/sqrt(4)).\nAnswer: -345 + 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) 179 (c) -98 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -q + w - 119 + 60, -59*w = -3*q - 58*w - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n + 31. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 13*f**2 - 22*f + 34. Let j be r(16). Suppose 4*k = m - 90, j = 5*m - k - 2*k. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1918, 15477, 52110, 123295, 240510, 415233, 658942?\nAnswer: 983115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -741180.9583646 and -59?\nAnswer: 741121.9583646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or 0.15777?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 + 158. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-5)\/(-30)*8*(-11)\/((-2288)\/1677)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r + 13. Let b(s) = -7*s + 11. Calculate -4*b(d) + 3*o(d).\nAnswer: 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 5, -19538, 4, -2, 3 in ascending order.\nAnswer: -19538, -3, -2, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 411560 + -610560. What is z rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9056967 rounded to 4 decimal places?\nAnswer: -0.9057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 129845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4\/12 + 4*u + 4. Let d(z) be the first derivative of a(z). Let r(f) = 5*f**2. Calculate d(r(q)).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71.18 - -1.82. Let b = a - 74. Let q = -78 + 544\/7. What is the nearest to -1 in 0.5, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 i, and 1 o when three letters picked without replacement from {x: 1, h: 1, l: 2, z: 1, i: 2, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-7)*(-11)\/231?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 92*h + 9097. Calculate z(-45).\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171418?\nAnswer: 2, 13, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5848*y - 3 - 8144*y + 1295*y + 2 + 1321*y.\nAnswer: -11376*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334 + 491. Suppose 11*p - 338 = u. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d + 0*d**3 + 0 + 1\/120*d**5 + 1\/240*d**6 - 5*d**2 + 0*d**4. Find k, given that r(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 - -1.68. Let k = -2.6 - p. What is the nearest to 2\/3 in 1, k, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, 2\/105, -10, -4609?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26261.\nAnswer: 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 52440340?\nAnswer: -52440334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 + 0 = 0. Solve -4*j + 2*i + 17 = 1, -h*j + 22 = -5*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-594)\/(-6) + 0 + 2. Suppose d = -3*x + 20. Is (333\/x)\/(1\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from wyyioyx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 344146107*n*s - 917452994*s wrt n.\nAnswer: 344146107*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - n. Let l be b(1). Let x be (l\/(-12)*-1)\/(6\/12). Factor 1\/4*g**3 + 1\/4*g**5 + 0*g**2 - x*g**4 + 0*g + 0.\nAnswer: g**3*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6.19. Let v = q - 2.19. Let a = -761\/510 - 2\/255. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.5 + -10.5000255. What is u rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003331013 (base 4) to base 13\nAnswer: 99900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r**2 - 1. Suppose 38*a - 33*a = 125. Suppose 0 = 3*d - a + 13. What is the remainder when o(-1) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose p = 2*o - 5*s - 35, o - 5 = 2*o + 2*s. Suppose 31 = 3*i + 5*j, 31 = -o*i - 2*j + 89. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 204 = -4*n + 2*q, -50*q + 49*q = n - 83 + 30 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 5*p + 1. Let n be a(-5). Suppose t + 3*m = n, 0 = 5*t - m + 4*m - 53. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (12\/4)\/(6\/674)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 9*r + 2961517 + 979985. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 + 2. Let p(v) = 5*v**2 - 2. Let m(h) = 5*p(h) + 4*q(h). Suppose 0 = -0*x - 5*x - u - 12, x + 5*u = -12. Give m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/5*(-86)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -24 + 294. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.9 + 55.1. Which is the third smallest value? (a) 2 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 63. Suppose 2*n + 2*o = -14, -m*n + 5*n = -3*o - 9. Is 50\/15*n\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**3 + 8*z**2 + 67*z - 34. Suppose -26*a = -1733 + 537. Let g be h(a). Round g to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4042\/21432 + 2\/(-24).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Suppose -p*o + 16 = -2*i, 0*o + o + 4*i + 18 = 0. Let r(f) be the first derivative of f**4\/4 - f**3\/3 - f - 1. Calculate r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**2 + 3*g. Let o(b) = -b - 6. What is -2*o(z) - 6*v(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(240)*1*-1)\/(-3*-2*sqrt(12)))**2.\nAnswer: -10*sqrt(5)\/3 + 230\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -381145.2 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opooopr. Give prob of sequence ooor.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66.557 - 0.754. Let k = 66 - z. Let g = k + -0.196909. What is g rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -14. Let u be (x\/4)\/((-7)\/28). Solve b = 3*b - 4*t - 12, b + u*t = -29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**35\/x*x)\/x)**(5\/9))**(-6) assuming x is positive.\nAnswer: x**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x + 4 - 2*x + x - 3. Let s(i) = i - 1. Let c(v) = 3. Let j(t) = -c(t) - 4*s(t). Give 2*a(q) - j(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = 25*u - 15. Let r be (u\/10)\/(39\/65). Which is the second smallest value? (a) r (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/30)\/(6\/(-8))*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 784 = 59*m. Let y(n) = -6*n - 2*n**2 + 33 + 3*n**2 - 9*n. Does 17 divide y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.986 - -0.014. Let n = -4.6056 - -4.7056. Is b smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 297232591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1003203?\nAnswer: 1003220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/(-21))\/((2\/6)\/(-1)). Solve -3*z + 2 = -k*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**5*w + 182230*q**3*w + 2*q*w - 3437440*q wrt q?\nAnswer: -120*q**3*w + 1093380*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 11*v - 1055. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339 - 344. Which is the closest to 0? (a) p (b) -2 (c) 17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -20, 0, -3, -2, -5 in decreasing order.\nAnswer: 25, 0, -2, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1651 and 9382633?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.3 less than 68622.24?\nAnswer: 68313.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 5*w + 4. Let n be j(-2). Let t = -4 - -12. Let r = t - n. What is the remainder when 84 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 50.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2222 - -1244320?\nAnswer: 1302042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven halves of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -322*g**2 + 2*g + 128. Let z(j) = -649*j**2 + 4*j + 257. Let n(f) = 7*r(f) - 3*z(f). What is the second derivative of n(x) wrt x?\nAnswer: -614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2895 = 11*s + 398. Suppose -3*v - o + 2*o = -135, 0 = -3*v - o + 141. Calculate the remainder when s is divided by v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29082.8 - 29083. Sort 278, m, -0.13.\nAnswer: m, -0.13, 278","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**3 - 5*w**2 - 80*w + 12. Let k(f) = 3*f**3 - f**2 - 20*f + 3. Let o(g) = -9*k(g) + 2*x(g). Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from akaas.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {m: 2, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -1)\/(77\/14 + -6). Solve p = -p - t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/24 + 17*h**3\/6 + 8*h**2. Let k be u(17). Suppose -51 = -k*j - 3*j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1*(1 - (-2 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from cfyafcyyccccf.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 + 2*b - 2. Suppose 0 = -42*s + 35*s + 196. Let n = -28 + s. Suppose m = j - 2*j + 8, -2*j - 4*m + 20 = n. What is z(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2137 - 3279. Let j = -1140.366 - q. What is j rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 742103, 742048, 741967, 741860, 741727?\n\"Answer: -13*b**2 - 16*b + 742132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5847)\/(-3495) + (-120)\/72)*50\/(-24) and -101\/36.\nAnswer: 8388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -1\/12*f**3 - 1\/24*f**4 + 0*f**2 + 0 + 1\/40*f**5 + 17*f + 1\/60*f**6. Find z, given that g(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -4. Let p = -9 + i. Suppose 0 = x - 2*x - b + 31, -2*b = p. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 6175958*l**2 + 18527881*l + 12351922.\nAnswer: -(l - 6175961)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2439 divided by -72.\nAnswer: -271\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*n**5 + 13445*n**4 + 88830*n**3 - 68280*n**2 - 327040*n = 0. What is n?\nAnswer: -292, -7, -16\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 19*z**2 - 19*z + 37. Let q(u) = -3*u**3 + 57*u**2 - 56*u + 112. Let t(p) = 11*c(p) - 4*q(p). Is t(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071499 rounded to the nearest ten thousand?\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 165666?\nAnswer: 165666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -81 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 42 (b) -4\/11 (c) 10 (d) -13 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 5) + (-45)\/(-9). Let w(i) = i**2 + 3*i**2 + 4*i**t. Let v(y) = 3*y**2. What is v(w(q))?\nAnswer: 192*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/90 + (-4)\/(-18). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + o)*(-o**3 - 3*o**3 + 3*o**3) + (-o + 4*o + 0*o)*(-2*o**3 + 2*o**3 - 2*o**3) - 200*o**3 + 200*o**3 + 2*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -0*q + 3*q - u, u + 63 = -3*q. Let g be ((-8)\/(-10))\/(4\/q). Let j be -1 - 6\/g - -2. What is the closest to 1 in 0, 3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 1205340*k**2 - 181599537600*k - 1816115912000.\nAnswer: -2*(k - 301340)**2*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 + 26 = 0. Let h(b) = -b**3 + 33*b**2 + 42*b - 256. Let g be h(34). Suppose -q = -n - g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5080)\/(-381))\/((-10)\/12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 186?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15488 and 1472?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4975 and 119914813?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in nanoseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.1, 4, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/6)\/((-1012)\/168 - -6). Let m = 7 - k. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3716 is divided by 311.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 3*d)*(-3 + 3 + 2) + (-2*d - d + 2*d)*(-4 + 0 + 2) + d + d + d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1881264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let o(k) = -7*k + 9. Let z(g) = o(g) + 5*v(g). List the prime factors of z(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -x + 55 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.1, 445?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67496.67 litres to millilitres.\nAnswer: 67496670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 93*c. Let p(l) = 653887*l. What is p(r(u))?\nAnswer: 1961661*u**2 - 60811491*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-4*h**3 + 0*h**3 + 2*h**3) + (44*h - 3 - 57*h + 63*h)*(-h + h + 4*h**2).\nAnswer: 204*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -371*u + 51*u + 83 - 6*u - 497*u + 97*u. Is v(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-835)\/1503)\/((-5)\/123)*3\/1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose o*s - 92 = w, -s - 2*w + 32 + 9 = 0. What is the highest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 222.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26288 < 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*v**2 + 12 + 191*v**2 - v**4 - 681*v**3 - 11 + 3*v**2 + 2*v**4 wrt v?\nAnswer: 24*v - 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 8, m: 4, x: 1, a: 3, b: 2}. Give prob of picking 1 x, 1 q, 1 m, and 1 h.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 5*v + 75\/2.\nAnswer: -(v - 15)*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -331, -3, -1.\nAnswer: -331, -3, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17.72422mm?\nAnswer: 17724.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 7. Let b be o(-5). Suppose 4*s = -5*h + 10, 6 = 2*h - 5*s + 2. Let d(x) = 2 - 6*x**2 + 0 + 3*x**h - 3*x - 3. Give d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602985767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4607 divided by 17.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (67\/(-5))\/((-42)\/(-35)) and ((-42)\/(-159))\/(44\/99).\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*z + 36, 5*z + 3*s + 9 + 23 = 0. Let i(q) be the second derivative of -q**3\/2 + 4*q**2 + 41*q + 4. What is i(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 29 = -4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 487287607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*r**5 - 6*r**5 - 1 - 2*r - 4*r**5 + 0*r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 17*m**7\/21 + m**5\/2 - 215*m**4\/3 - 4*m + 125. Find the third derivative of r(c) wrt c.\nAnswer: 2040*c**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 62*l**2 - 407*l - 1193. Determine j(-55).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 586 - 232. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00605549 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 472\/16 - 2\/(-4). List the prime factors of (-10)\/g - (-49)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 17325.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189618 by -663.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c98 (base 13) to base 12.\nAnswer: -12b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**3 - 1912*o**2 - 3*o - 87958?\nAnswer: 6*o**2 - 3824*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31827172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -75?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a + 51. What is the hundreds digit of x(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 57*z - 65. Give u(50).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h - 2*h)*(-51 - 245 + 45)*(2 + 0 - 3).\nAnswer: 251*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-5) - 3)*-5. Let l = -4 + 4. Suppose 3*p = -2*s + 37, l = 2*s - m*s - 2*p + 70. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -18. Suppose -d*h = 33 - 25. Is 3 a factor of (-2)\/(h\/3) - -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10875 and 11775125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20232, -20247, -20286, -20361, -20484, -20667?\n\"Answer: -2*y**3 - y - 20229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21)*8\/48.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**3 - t + 266 - 260 + 24*t**2 - t**3. Does 3 divide r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-52)\/(-10))\/(27\/15). Which is bigger: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-4))*m)\/(m*m\/(m*m**3)*m))\/(m\/(m*m\/(m**(-7)\/m))*m*m*m**(-2\/7))*(m\/(m**(-1\/2)*m))**18\/(m**(-1))**(-24) assuming m is positive.\nAnswer: m**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + -0.7. Let r be (-1)\/(1\/(-4)) + 1. Let q(h) = -h**2 - 168*h + 1416. Let j be q(8). Which is the nearest to j? (a) 0.2 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 25 - 123 = -2*r, 2*r = -4*x + 82. Suppose -2*l + 6 + 3 = -5*n, 5*l - 9 = -n. Suppose -135 + r = -l*o. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29977823, 59955653, 89933483, 119911313, 149889143?\nAnswer: 179866973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9765 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 3. Let u(h) = h**2 + 2*h + 1. Let c be u(x). Suppose -y + c = -79. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*z + 71, 4*z = -m + 23 - 4. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:26 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 + 2*v**2 + 3*v - 32. What is m(4)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1)**2*-1.\nAnswer: -109 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -126*f + 3122. Let w be k(25). Let x be (-3)\/3*(-333)\/(-9). Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -3) + (-13670)\/15*-6. Let d(g) = -267*g + 5462 + 67*g - f. Let w(v) = -2*v**2. Calculate w(d(y)).\nAnswer: -80000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:34 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14698*(63\/(-84) - (-28)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 28*u - 425. Suppose 5*q - u = 8. Sort 43, q, -3 in increasing order.\nAnswer: -3, q, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(80) - (sqrt(80) + 0)))**2 + -2 + sqrt(45)*-2)*5 + -1.\nAnswer: -30*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11046 and 2751.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2339 - -2339.2. Which is the closest to 0? (a) -0.3 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15868*x**6 - 26481*x**2?\nAnswer: -1904160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + p - 7*p)*(3 - 3 + 2) + 5*p - 2*p - p + (-3*p + 3*p - 2*p)*(1 + 2 - 2)*(305 + 215 - 134) to g + y*p and give y.\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*k - 2*a, -5*k - 3*a = -8*a + 20. Let g be 26\/k + 1\/5. Suppose 0 = 2*v + v. Sort v, g, 1 in increasing order.\nAnswer: g, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -228*x**2 + 1826*x - 46. Give t(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:09 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 6*r - 7. Let l be x(-5). What is the remainder when (4 + 2)*(2 - 1) is divided by l\/(-18) + 10\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 + 4) - -11) + -7 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arbb when four letters picked without replacement from {b: 5, d: 7, a: 1, c: 2, r: 4, i: 1}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:32 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 - 2*n. Let s(d) = 21*d**2 + 9*d. Let b(z) = 18*f(z) + 4*s(z). Let v(o) = 5*o**2 - 3*o**2 - o**2. What is v(b(p))?\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*g - 12, -5*g + 312*p - 317*p = 25 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiikiikiiiii. What is prob of sequence ki?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/10 + 6227*s**4\/5 + 12461*s**3\/10 - 7473*s**2 = 0.\nAnswer: -3, 0, 2, 12455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2029*f**4 + 116*f**3 + 2*f**2 - 566294.\nAnswer: 8116*f**3 + 348*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -606891.\nAnswer: 1820673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/6550 and 79\/1834.\nAnswer: 45850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -53.476 and 0.89.\nAnswer: -52.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997360637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 0*z - 4*z + 11*z - 5*z + 12693 as c*z + u and give u.\nAnswer: 12693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9954\/13 - 62814\/91. Let g = -1516\/21 + k. Find the common denominator of g and 65\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812734 and 8.\nAnswer: 3250936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6728 - 1672. Is 64 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001120514 rounded to six dps?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 75 = -8*d - 5*g, 0 = 2*d + g - 30. Calculate the highest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k - 7. Solve m + 3*v = -k*v + 3, 5*m = -3*v + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y. What is the units digit of 2\/6*(y + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10544*m + 84361. What is g(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - 0.2. Suppose -5*g = 8 + 7. Suppose -39 = -6*d - 87. Which is the second smallest value? (a) g (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681626553 rounded to the nearest 100000?\nAnswer: 1681600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/8)\/(-348)*(((-96)\/(-3))\/2)\/10?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -2\/9 (c) -71\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2427982 to the nearest ten thousand.\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -24. Let j be (-4)\/k + 7\/(-5). Let m = j + 8. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 75*h**3 - 3341036*h + 3341036*h.\nAnswer: 75*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8043 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 798\/15*(15 - 10). Suppose 0 = 2*u - 5*f - 169, 3*u + f - i = 6*f. List the prime factors of u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozc when three letters picked without replacement from ccccczcccoccc?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11918 + -71507\/6. Solve 1\/6*i**4 - 1\/3*i**3 - c*i**2 + 0 + 1\/3*i = 0 for i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 64?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*c - 2, -2*c = a + 2*a + 1. Let l = 51 - 51.4. What is the nearest to c in -0.5, l, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -761*j**3 + 411 with respect to j.\nAnswer: -2283*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*t - 58*t + 126. What is the nearest to 1 in t, 5, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05378965 to 4 decimal places.\nAnswer: -0.0538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let z be 4\/(-18) - r\/(-9). What is the nearest to 1\/6 in 3, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -164*f + 29. Let k(q) = -2*q**2. Determine g(k(c)).\nAnswer: 328*c**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 11*d + 16 = 0. Let c(i) = -2*i + 8. Let s be c(d). Suppose s = 2*j - 3 - 11. Let x(h) = h**2 - 6*h - 2. What is x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7200 and 306?\nAnswer: 122400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20385541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + 0.23. Let g = 3.11 - c. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -744.6 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41e (base 15) to base 14\nAnswer: 4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + (1 - 5))\/((-2)\/(-20)). Let z(y) be the first derivative of -23\/2*y**2 + 0*y - 10*y**3 + s. Find the second derivative of z(d) wrt d.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**2 + 5*u - 7. Let o(h) = -h**2 + h - 1. Determine d(j) - 5*o(j).\nAnswer: -3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(36)\/(sqrt(144)\/(sqrt(12) + sqrt(36)\/sqrt(3))) + -2.\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14012 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(57)*-1)\/sqrt(3) - (sqrt(19) + (sqrt(19) - (sqrt(19) - (sqrt(304))**2))*5)) + 1 + -2*sqrt(684) + 4.\nAnswer: -6*sqrt(19) + 4565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1870*r**6 - r + 826*r**2 + 0*r + 183*r**2 + r wrt r.\nAnswer: -224400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 771, 1492, 2213, 2934, 3655?\nAnswer: 4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.17 and -5383255434407.\nAnswer: -5383255434407.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a + 192858 + 304156 = -179284. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-9) + 15\/(-18))*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45*(-108)\/1620*1*12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -72. Suppose 0*p + g*p = 135. Calculate the highest common factor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrirwwwirr. Give prob of picking 3 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7700527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -1029 in increasing order.\nAnswer: -1029, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a + 1. Let t(l) = 27*l + 1. Let n(k) = -5*c(k) + 2*t(k). Suppose 6*s = -s - 21. Is 10 a factor of n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 144, 2, -12, -2, -1.\nAnswer: -12, -3, -2, -1, 2, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 5:33 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 104.579?\nAnswer: -99.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/17)\/((-360)\/612)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*z**4 + 595476940*z**3 + 2739193531*z**2\/3 + 359932664*z + 127035056\/3 = 0. What is z?\nAnswer: -7939691, -1, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*q**3 + 0*q**3 - 4*q**3 + 9*q**3 as t*q + g*q**2 + c + f*q**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56277 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/832*2*-2?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.025 + 0.025. What is the fourth smallest value in -3, -0.1, s, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooeoooeo. Give prob of sequence eooo.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*f**2 + 213 - 264 - 163 + 1240*f**2 with respect to f.\nAnswer: 2378*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.37 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 7900880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -21a3?\nAnswer: -21a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2007.\nAnswer: 1\/2007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 3*f - 7. Let d(l) = -3*l**3 - 5*l - 13. Let i(b) = -3*d(b) + 5*r(b). What is the units digit of i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g + 6*b - b, 0 = g - 4*b + 11. Let u be (2 + 10)*g\/(-3). Let o(f) = 2*f - 10. Calculate the remainder when 40 is divided by o(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/912 and 79\/468?\nAnswer: 35568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6281.\nAnswer: 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -434379*37\nAnswer: -16072023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 29405*k - 147044. Give f(-5).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*f + 118*f = 0. Do f and 1\/3008 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**(-2\/31)*v*v)\/v)**35 assuming v is positive.\nAnswer: v**(4270\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4527 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c + 15 = 39*c. Suppose -15 = w - 20. Suppose -5*f + 3*f = -w*g + 298, c*g - 184 = -4*f. What is the greatest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rggrgggrgg. What is prob of picking 2 g and 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233385144?\nAnswer: 2, 3, 101, 96281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 2*t - 12, 264*t = -2*o + 263*t - 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-15) + (-36)\/15. List the prime factors of q\/9*(-5 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -61.07. Let b = k - 0.0699918. What is b rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 52. Calculate the remainder when v is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjmjmmmjmmmmmmm. Give prob of picking 2 j.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/29531521 and 17\/3?\nAnswer: 88594563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.926, 2\/9, 207, -99 in decreasing order.\nAnswer: 207, 0.926, 2\/5, 2\/9, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34453096.\nAnswer: 2, 139, 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -7, -8 in increasing order.\nAnswer: -47, -8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12447958003 rounded to the nearest 1000000?\nAnswer: -12448000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 10*t - 7. Let m(n) = 3*n**2 - 30*n + 21. Let x(y) = -3*m(y) - 8*r(y). What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 53*w**2 - 13*w**2 + 3*w + 65*w**2 + 40*w**2. List the prime factors of u(-2).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 0.5 (c) -1\/34 (d) -2\/2519 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)\/((v\/((v*v\/v**0)\/v))\/v))\/((v**(-3)\/v*v)\/(v*(v\/((v\/v**(4\/3))\/v))\/v*v)) assuming v is positive.\nAnswer: v**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0)\/(8 + -9). Suppose 67 = l*c + 43. Let z = -9 - -14. Let v(h) = -4*h - 6. Let o(b) = 5*b + 7. Calculate c*v(m) + z*o(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 13*r**3 - 13*r**3 + 40*r**3.\nAnswer: 14*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 277*d - 795. Let a be w(3). Solve -22*n = -18*n - a for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:08 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -25, 6520, -5, 5 in increasing order.\nAnswer: -25, -5, -1, 4, 5, 6520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 13 = -40*f + 35*f, 8*f - 24 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 215119 or 2\/3?\nAnswer: 215119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579473617?\nAnswer: 579473617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-360)\/(-110)*(-979)\/(-178)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304193748 to the nearest integer?\nAnswer: 17441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 4160*g\/7 + 594.\nAnswer: 2*(g - 2079)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 408*u = 399*u - 39, 2*u + 18 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z - 852*z**3 + 22*z.\nAnswer: -852*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -11. Solve -4 = -3*t + o*f, 4*f + 2 - 4 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s + 83. Determine p(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/10)\/(2\/(-16)). Let b be (a\/5)\/((-7)\/140). Solve -2*h + b = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16986 or 16981?\nAnswer: 16981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 153 - 45 = 0. Let p be 6 - (s - 1) - -2. Solve 0 = -5*m - m - p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*n*v**3 - 166*n - 582088*v**5 - 171303*v wrt v?\nAnswer: -48*n*v - 11641760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7*x + 13. What is f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -667934 rounded to the nearest 1000?\nAnswer: -668000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -627.\nAnswer: -5\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 278\/3. Let b be ((-6)\/(-15))\/(7\/(-5)). Let i = 5.09462 + -0.09462. What is the nearest to -0.2 in z, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 56.5, 2\/299, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/4 - 4*s**3\/3 - s**2 - 4*s + 164. Calculate q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -220\/3? (a) 632 (b) -5 (c) -4\/5 (d) 12 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z**3)*(29*z + 37*z + 16*z) + 2*z**3 - z**3 - 93*z**4 - 2*z**2 + 86*z**4.\nAnswer: 75*z**4 + z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 882 - 555. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlv when three letters picked without replacement from {l: 2, r: 5, v: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34816 - -18531.8.\nAnswer: -16284.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16*7)\/(782\/43792).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -281*h**5\/20 - 122*h**2 - 191*h - 229. Let y(m) be the first derivative of w(m). Differentiate y(n) wrt n.\nAnswer: -843*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347294559, 347294550, 347294531, 347294496, 347294439?\nAnswer: 347294354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/2, -0.03, -0.06 in ascending order.\nAnswer: -3\/2, -1, -0.06, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 + 24*x + 42. Determine g(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-9 - (11 - 31))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -126572*v. Let a(w) = -107*w**2. Give a(q(h)).\nAnswer: -1714190416688*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4)\/p)\/p**(-1\/12))\/(p\/(p\/(((p\/((p*p**9)\/p))\/p)\/p))*p\/((p**8*p)\/p)) assuming p is positive.\nAnswer: p**(157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -5.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-711)\/29388*(-2)\/(-3)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368912, 368911, 368910?\nAnswer: 368909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 3.6, -1446, 0.1 in descending order.\nAnswer: 3.6, 2, 0.1, -0.5, -1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37378 and 13592?\nAnswer: 149512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - 122. Solve -q*u - 12*u = 104 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -552.000012864 + 552. Round d to 7 decimal places.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2\/11 (c) -2218 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 77. What is j(0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1473516)\/29768)\/((-27)\/(-4))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/((r\/(r**(-1\/12)\/r))\/r*r))\/r*r)**(5\/18)*(r**(4\/13))**(-4\/25))**(-18) assuming r is positive.\nAnswer: r**(5081\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*z = 114228, -b - z - 85259 = 28957. Let m = b - -333818. Round m to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u - 4. Let w be x(4). Let z be (-870)\/(-3045) - (-248)\/14. Let q = w + z. Solve -b + q*b + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742641 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -36*v**3 - 14. Let x(z) = -37*z**3 - 13. Let c(j) = 6*f(j) - 5*x(j). Find the first derivative of c(t) wrt t.\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143c (base 13) to base 9.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100776 divided by 4.\nAnswer: -25194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - r - 1 - 5 to b*r + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395275 is divided by 1098?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1056 + -5?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 5, -803 in ascending order.\nAnswer: -803, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1247*v + 1256. Calculate the remainder when 4013 is divided by s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 9. Find the second derivative of 72*w**3 + 3*w**2 - 66*w**f - 3*w**2 - 3*w wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -4, 14, -0.03, -17, 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 18*l - 7. Let f(v) = 3*v - 3. Let z(a) = -5*f(a) + r(a). What is z(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*b = -78, 0 = -4*b + 11 - 31. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/329 and 53\/2585?\nAnswer: 18095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qykkyq. Give prob of picking 1 k and 1 y.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2666 divided by 43.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*u + 21 = 0, -5*n = -n - 5*u - 15. Solve -n = -4*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/19 - 46*u**2\/19 + 286*u\/19 - 242\/19.\nAnswer: 2*(u - 11)**2*(u - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, -105.38, -2\/9.\nAnswer: -105.38, -9\/4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*m - 2. Let f be (m + (-4)\/(-2))\/(28\/56). Suppose -f*s + 24530 = 8*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322140 + 2?\nAnswer: 322142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41891 (base 13) to base 8\nAnswer: 346227","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -687, -1048, -1431?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.348 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -18*q - 2. Let o be t(6). Let h = o + 146. Calculate the highest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 3*p - 51030 = 0. What is p rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 42 - 30 = 0. Let b be (-4)\/n - (-724)\/99. Let o = b - 433\/44. Calculate the common denominator of 125\/18 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, 11, -4, -0.05, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2490 + -161744\/65. Let w = c + -16\/13. What is the closest to -1 in -3\/8, w, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99258 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1097.\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8beb (base 15) to base 6\nAnswer: -345252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 21101?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.208+-4459704\nAnswer: -4459703.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Suppose -2*y + 5*n + 6 = 0, 5*n - g = -y - 2. Suppose 0*b - 3*f = b - 42, -y*b + 126 = -2*f. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 16*q - 18. What are the prime factors of z(10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180410 (base 9) in base 4?\nAnswer: -123103332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 1)*(-3*z - 22*z**3 + 5 + 43*z**3 - 22*z**3).\nAnswer: 2*z**3 + 6*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 10018851 = 5*o - 10018895, 4*o = 2*k + 26 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4356 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686151.7nm to centimeters.\nAnswer: 0.06861517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(84) - sqrt(84)*-2) + sqrt(84))*6)\/sqrt(2))\/(sqrt(150) - ((sqrt(150) - ((-2*sqrt(150)*-6 - sqrt(150)) + sqrt(150))) + sqrt(150))).\nAnswer: 24*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1517, 3034, 4551?\n\"Answer: 1517*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*h = 42 + 209, -237 = 3*x - 3*h. Let q = x + 85. What is the second derivative of -6*b**2 - q*b - 7*b**2 + 8*b**2 wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -10450132?\nAnswer: 10450123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - ((-24 - -29) + -84)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243205827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007782 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 11210022?\nAnswer: -11210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-15)\/(-375))\/(42\/(-15)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {l: 3, m: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**3\/2 - d. Let k(b) = 15*b + 4. Let i(p) = -11*p - 3. Let h(v) = -4*i(v) - 3*k(v). Give h(q(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 440*z**2 + 445*z.\nAnswer: -5*z*(z - 1)*(z + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/65, -3.2, 3, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/48 and -79\/10518.\nAnswer: 84144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - v + 115 = -c, -5*v = c - 127. Calculate the remainder when 66 is divided by 7\/6*(-64)\/c*-18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82844388833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7636 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:27 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 5*y. Let a(i) = 3*i**3 + 4*i. Calculate 5*a(s) - 4*n(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376973, 376968, 376959, 376946, 376929?\nAnswer: 376908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 465*3 - (18 - 16).\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2\/4 + 1977*d\/2 - 468420 = 0. Calculate d.\nAnswer: -1688, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 12 = -13, 442 + 3067 = -d - 176*y - 892 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -20, 40, 146, 304?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(4) - (sqrt(576)*-2 + sqrt(576))) + sqrt(40)\/(sqrt(10) + sqrt(160) - sqrt(10)))\/(sqrt(18)*3 + 1*sqrt(242) + sqrt(242)))**2.\nAnswer: -8427\/3844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -133*w**3 - 13*w**2 - 7*w + 2. Let r be a(-4). Suppose -2*g = n - g - r, -2*n + 16673 = g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3817602 seconds in microseconds?\nAnswer: 381760.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 - 17*z + 17*z - 1)*(-4*z + 0*z + 2*z).\nAnswer: 10*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 3. Let i(p) = -59*p**3 - p**2 + p. Let m be i(1). Let c = m - -77. List the prime factors of h(c).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**7\/147 + 8*h**6\/35 - h**5\/35 - 8*h**4\/7 + h**3\/21 + 24*h**2\/7 + 47*h + 1. Determine y so that o(y) = 0.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 1:13 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3324 and 2098584?\nAnswer: 581307768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 11\/20*p**5 + 0 - p + 6*p**3 + 0*p**4 + 0*p**2. Find the second derivative of l(g) wrt g.\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -77, -116, -155, -194?\n\"Answer: -39*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 17 + i + 0*i - 7*i + 5*i. Calculate d(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 27 - (-7 + 32) - (-1 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4 - 28*l**3 - 76*l**2 + 28*l + 72 = 0.\nAnswer: -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*x + 150, 3*x = g - 6*g + 335. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2657 >= -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from garit. Give prob of sequence atr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-16)\/(-6))*3. Let h(n) = 2*n + 7. Let a be h(d). Solve 2*g + a*c - 9 = 0, 0*c = 4*g + c + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -4)\/(1*33\/1804) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*b - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1728 and 3753000?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -618+0.1\nAnswer: -617.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - 8. Let r(c) = -6*c - 1. Let y be r(q). Let g = y + 21. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + (10 + -6 - (-4 + 12))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7999093.\nAnswer: 2203, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -628 and -0.048?\nAnswer: 30.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -69712 at most -278847\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvevrrroereeeve. What is prob of picking 1 v, 1 l, and 1 o?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:41 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -5, -9390, 14, -19 in ascending order.\nAnswer: -9390, -19, -5, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49053 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + i**2 + 3*i**2 + (2 - 2 + 2)*(4 - 4 - 2*i**2) + 4*i**2 - 2*i**2 - 4*i**2 + 8 + i**2 + 1 - 7.\nAnswer: -6*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -31 - (11 - 13)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5790 by -15.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2511 (base 11) to base 2\nAnswer: 110011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 35. Let o be f(-11). Suppose 0*s = 4*s - 16. What is the highest common factor of s and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {k: 2, f: 2, a: 11, g: 1}.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86037*g + 1 - 1.\nAnswer: -86037*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/80 and 21\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32172?\nAnswer: 2, 3, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 b when four letters picked without replacement from bbbbbbbnbnbbnbbbbb.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 741716280 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 40 + 302. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10615?\nAnswer: 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424 and 7950.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61.4 + 61. Let o(q) = -q**3 + 4*q**2 - 3*q + 2. Let d be 58\/18 - 38\/171. Let t be o(d). What is the smallest value in 1, 4\/3, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.6. Let w = 4 - 27. Let k = w + 22.7. Which is the third biggest value? (a) k (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6304 and 103\/24?\nAnswer: 18912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 13)*(-4)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:42 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m + 5*f + 190, 4*m + f = 162. Suppose -m = -3*a - a. Let t = -4 + a. Solve t = 3*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1536 - 1527. Let i(a) = -26*a**3. Calculate the remainder when i(-1) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260431 and 38440.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -608 + 716. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1418 + 92 = -h, -6632 = -5*h - 4*c. Let x(b) = -8*b**3 + 28*b**2 + 219*b - 145. Let p be x(7). What is the greatest common divisor of p and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 3\/4, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66, -126, -162, -168, -138?\n\"Answer: m**3 + 6*m**2 - 85*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35319 + -24832. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 30 = -102. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121210150 (base 6) to base 7.\nAnswer: -25401312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 831852 rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.043, 18, -5, 3, -3 in ascending order.\nAnswer: -5, -3, -1.043, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -691065425*c**5 + 63115*c - 1216 wrt c.\nAnswer: -13821308500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 67.8. Let c = -4.9 - z. Let j = 9 - 9.5. What is the second biggest value in c, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2*(-1 - 0)). Suppose 6 = 3*f - 4*o, -2*f = -0*f - 5*o - 4. Suppose -l + 5*q = -37, -q + 9 = f*l - 10. Solve 3*p = -j*p + l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 17. What is the second derivative of -5*s**4 - 16*s - 5*s + 8*s**w + 5*s**4 wrt s?\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951*a - 1955*a + 5852*a - 15 = 1951*a - 0*f - 2*f, 0 = -a + f - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*k - 1 = 0. What is the common denominator of 39\/2 and 35*-2*k\/44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1222?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 18*w - 12. Solve 13*b = 10*b - w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*s = 11, 3*s = -0*n - 4*n + 3. Let y be (-1)\/(-588)*n\/(-2). Let m = -6\/49 - y. Sort 1, m, 0.1 in descending order.\nAnswer: 1, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195949296 to the nearest integer?\nAnswer: 13998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020101112 (base 4) to base 6.\nAnswer: 15544034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -20. Let y(a) = -a + 2. Let l(n) = -3*n + 4. Suppose 3*b - 5 = 10. Calculate b*y(o) + f*l(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 17. Let j be b(7). Suppose x = -x + 8. Suppose s + 2*s + 15 = 5*c, 3*c - 9 = x*s. What is the greatest common factor of j and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 37. Suppose -3*j + 4*q = 0, 5*j + 5*q = 16 + g. Suppose -j*x = -103 - 405. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-6)*(-3)\/2. Suppose n*v + 3*j + 35 = 0, 30 = -7*v + 4*v - 3*j. Let t(u) = -u**2 - 7*u - 17. Let l be t(v). Let m(c) = 2*c + 10. Determine m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -25*p**2 - 130*p - 23. Let s be t(-5). Solve -s*v + 4*g + 4 = 0, -6*g - 12 = v - g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9693*p**3 + 7740*p wrt p?\nAnswer: -58158*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = n - 8, -4*m + 4*n + 24 = 2*n. Suppose -3*a = 5*y + 46, -5*y = -a - m*y - 10. What is a rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 31*n - 23. What is z(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -5300245?\nAnswer: 5300302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5110 - -5?\nAnswer: -5101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5239*b**3 + 10487*b**3 - 5243*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/66*12\/33*(-484)\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 454479, 454477, 454475, 454473, 454471?\nAnswer: 454469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let i be s\/(3\/14)*1. Suppose -i = 2*j - 64. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 560 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:15 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f = 2*p - 146523 + 146459, -3*f = -p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/197057 and -115\/1576456?\nAnswer: 1576456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -103. Let x be (-28)\/(-182) - (-76)\/i. Suppose -20*f + 210 = -x*f. Solve -4*s = s - f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = c + 4*y, 5*y = 5*c + 7*y - 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.1 + 35. What is the nearest to -1 in t, 0.2, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-3))\/((-12)\/18). Suppose p = -x, 55 = 5*r - 0*x - 3*x. Calculate the remainder when 22 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -344? (a) 1590 (b) 2 (c) 36\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*647735.8.\nAnswer: -129547.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-3))\/n*n)\/(n**(-2\/17)\/n))\/(n**(1\/4)*n*n**(-3\/10)) assuming n is positive.\nAnswer: n**(1417\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657186 is divided by 231?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -2.8.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8052 * 0.406\nAnswer: 3269.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 13) + 9 + 1 + 3 - 3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfv when three letters picked without replacement from {o: 2, f: 1, a: 1, v: 2, q: 1, k: 11}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1 + 0*c + 5*c + 10. Let a be t(-9). Let v = -11 - a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 x when three letters picked without replacement from {p: 2, v: 1, t: 1, b: 3, c: 3, x: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.087 + -2081.213. What is f rounded to the nearest ten?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a09a5 (base 12) to base 7\nAnswer: -1526456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/24)\/(((-2)\/128)\/(11\/(-22)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmml when four letters picked without replacement from mmmlmmlmmmmmmmmmmmmm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -85540 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209079737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43228*q + 20039*q + 23191*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2)*(-64)\/(-352)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63888000 = 4*g + 44*g. Round g to the nearest 10000.\nAnswer: -1330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 12. Let l be o\/(-1) + 0 - -10. Suppose 4*u - u - l = 0. Solve 2 = u*z - 0*z + m, -3 = -3*z + m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18469)\/(-16863))\/(8\/(-28))\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 16. Let b be 4\/10 + 7\/(-30). Which is bigger: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 50 = -n. Suppose 3*k + 68 = 4*f, 2*f + 2*f + 2*k = 88. Let j(z) = 24*z + f*z - n*z. Let l(c) = 5*c**2. What is j(l(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 13, 1208, -22 in decreasing order.\nAnswer: 1208, 13, 12, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143528343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24974, -50030, -75086, -100142, -125198, -150254?\n\"Answer: -25056*u + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346 or -345?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 131*r**2 + 5*r - 1. Let b(v) = 260*v**2 + 9*v - 2. Let z(a) = 4*b(a) - 7*s(a). What is the units digit of z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3886 - 2769. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -282 (c) -4 (d) 0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108169, -109386, -110603, -111820, -113037?\nAnswer: -114254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349150 is divided by 4057?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25924)\/(-432) + 950\/(-102600).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**2. Let i(k) = -3*k**2. Let y(x) = 2*c(x) - 11*i(x). Let g(r) = -10*r. Give y(g(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -8*c, 5 = 2*n + 3*c. Let w be n\/8 + 33\/4. Suppose -12*y = -w*y + 40. Sort y, 2, -2 in descending order.\nAnswer: 2, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/5 + 14\/35. What is the second derivative of m*w - 7*w**5 - 3*w - w wrt w?\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 5, 0.391, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-22432)\/6)\/((-264)\/792)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1042191.5 to the nearest one thousand.\nAnswer: 1042000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from uyzuuzuuulxxxzulxzf?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3*r + 18. Let d be n(-2). Solve -61 = -d*p - 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1409023 - 2?\nAnswer: 1409021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1060032?\nAnswer: -1060025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3491.\nAnswer: 3\/3491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/326 and 34\/11.\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 4*l)*(-2*l + 4*l - l)*(-8 + 50 + 99).\nAnswer: 423*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 273*d**2 - 276*d.\nAnswer: 3*d*(d - 1)*(d + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65107 and 66598?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 71, 1, 4, -10 in decreasing order.\nAnswer: 71, 4, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 12*u + 16. Let a be (-5)\/35 - 2\/(-14). Let o(y) = -9 + a*y**2 - 5*y**2 + 1 + 4*y**2 + 6*y. Let s(x) = 4*m(x) + 7*o(x). Determine s(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-8)\/4*(-57)\/12?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32888\/5 smaller than 6578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 10:19 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 4*f**2 - 8*f + 6. Does 10 divide q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3 - 12*a**2 + 27*a - 14 = 0. Calculate a.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 73 (b) -122\/277 (c) -1\/4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 74*i - 53. Let p(x) = -2*x**3 - 11*x**2 + 9*x - 6. Let d be p(-6). Let t be s(d). Sort t, 3, 4, 13 in ascending order.\nAnswer: t, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 38*d + 42*d + 4, -3*b - 2*d + 5*d = 0. Determine c so that -9 + 1\/4*c**b - 4*c = 0.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*2\/(9 - (1 + 4))*7. Let b be (2 + 0 - 3)*-11. Solve b*i = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -5)\/((-30)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -3651?\nAnswer: -3641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/322 and -101\/70.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435333 is divided by 204963?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 = 2*g + i, -4*g = -3*i - 3. Suppose -118*b = -93*b + 12 - 262. Solve g*n - b = 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - -7. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*b - 97*b + 576 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9452685.89 rounded to the nearest one hundred thousand?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346453 is divided by 611.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose -3*r = 4*a + 14, a - 4*r = -l*a. Let h = a + 5. Solve -i = b, 0*b = 2*i + b - h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 - 2*i + 1. Let z be p(1). Suppose 16 = 2*l + 2*l. Suppose -z*t - l = t. Is t not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/12 - 3*c**5\/10 - c**4\/8 + c**3\/2 + c**2\/2 + 220. Determine j so that z(j) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158750, 317508, 476266, 635024, 793782, 952540?\nAnswer: 1111298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 2\/17 (b) 63 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 9 - 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2378, 2696, 3042, 3428, 3866, 4368, 4946, 5612?\n\"Answer: 2*f**3 + 2*f**2 + 298*f + 2076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 5\/725979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-40)*(-1)\/4)\/5*4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2908682*1\nAnswer: -2908682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 3 - (2 + -1). Let d(x) = 9*x + 11. Let o(f) = -5*f - 6. Let b(s) = -6*d(s) - 11*o(s). Let y(q) = 2*q**2 + 2*q. Give i*y(g) + 2*b(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/84 and 101\/224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2207, 8534, 18973, 33518, 52163, 74902, 101729, 132638?\n\"Answer: -p**3 + 2062*p**2 + 148*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2624 + -2624. Is f less than -2\/1259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 3501674 - 3501694 - 3501684 + 10505052.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/998716 and 45\/289102.\nAnswer: 10985876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1474289 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 320 + -306. What is the remainder when 67 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u**3 + 5*u**2 - u + 2. Let k be f(4). Let p be (k\/849 - 1)\/((-2)\/4). Do -1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3264 and 121\/600?\nAnswer: 81600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 13. Let u be i(-5). Suppose 0 = -5*b - 7 - 3. Let v be 14\/(0 - b)*1. Is u smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 = -4*d + 5*d, 4*v = -4*d - 4. Let q(p) = d - p + 2*p**2 + 6 - 8 - 1. Let j be q(-3). Which is greater: j or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*c - 145, 0*a + 3*a - 87 = -c. Find the first derivative of a + 2*i**4 + 392*i**3 + 377*i**3 - 843*i**3 wrt i.\nAnswer: 8*i**3 - 222*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14509 - 9104. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7650 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*g**3 - 35*g**3 - 15226*g + 7489*g - 41*g**3 + 7737*g.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/150)\/(2\/(-3))*0. Which is greater: 1\/55 or h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4.6. Put 1, l, -1 in decreasing order.\nAnswer: 1, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 4 - -2956)*3\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 + -4.5. Let y be (-3)\/(-4) + (-2)\/(-8). What is the biggest value in d, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 11. Calculate the greatest common factor of d and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1820, 7341, 16542, 29423, 45984, 66225, 90146?\nAnswer: 117747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 0*w**4 + 0*w**4)*(-w + 3*w - w)*(-10 - 11 - 33).\nAnswer: -108*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 19*r - 4. Let a be w(23). Let i = a - 102. Put 2, 4, i in descending order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -3*m - 4*h, -3*h = 4*m + 3. Let n = m - -4. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-21))\/((-2)\/((-12)\/9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o**3 - 2*o)*(-671*o + 678*o + 4*o**2 + 5*o**2).\nAnswer: 18*o**5 + 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**5\/5 + 2*y**3\/3 + 15*y. Factor d(o).\nAnswer: -4*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2757, -2757, -2755, -2751, -2745, -2737, -2727?\nAnswer: -2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213453, 1707766, 5763813, 13662462, 26684581, 46111038, 73222701?\nAnswer: 109300438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.0316175 = -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 - 0.03. Let s = -0.6 - o. Let m = s - -0.7799901. Round m to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 3*h. Sort h, 33, 2, -4.\nAnswer: -4, 2, h, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/5744 and -47\/16.\nAnswer: 5744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*2*-5)\/(-2*sqrt(704)) - (6*(sqrt(2) + -1 - sqrt(2))**2 - (sqrt(2) + (sqrt(2) + -1)**2 + 2))*-4)*-2.\nAnswer: -37*sqrt(2)\/4 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7031456 and 23200.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**3 + 4473*f**2 - 257928*f + 497988 = 0.\nAnswer: 2, 58, 1431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 117.4.\nAnswer: 352.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*c + 7*s + 84, -3*c - 3*s = -60. Suppose 5*i + v - 17 = 0, i = 6*i + 4*v - c. What is the highest common divisor of 27 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-242 - -5)\/3*-8*(-5 + 975\/200)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) -2 (c) 1\/4 (d) -0.99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2716*q**2 + 916*q**2 - 573*q**2.\nAnswer: -2373*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113 + 12024344?\nAnswer: 12024231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 29 = -42*l - 31 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353599 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 8, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 9 - c + 20)*(-c - 17*c + 2*c + (-c - c + 0*c)*(4 - 2 - 4)) in the form g*c + m*c**2 + v and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2.2 (b) -2\/15 (c) 0.5 (d) 1104 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:07 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -650*s. Let t(b) = 21*b. Let h = -38761 + 38766. Determine h*p(u) + 156*t(u).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130070.73 rounded to the nearest ten thousand?\nAnswer: -2130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 smaller than -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + l**2 + 6*l. Let x(p) = 6*p**3 - 2*p**2 - 13*p. Calculate 9*c(g) + 4*x(g).\nAnswer: -3*g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60611232 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 327360740 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*k - 15, -2*i + 4 = k + i. Let y = 6 - 4. Solve 0 = -y*v + k*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/5 - y**4\/12 + 14*y**3\/3 - 44*y**2 - 87*y. Is 15 a factor of p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000111100110100110 + 100001?\nAnswer: -111000111100110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101283207 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 20*m**2 - 9*m - 26. Calculate y(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -1\/120*r**5 + 2 + 0*r + 0*r**2 - r**3 - 5\/24*r**4. Let f(t) be the third derivative of o(t). Give f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 825*d - 1. Let q(w) = -w. Calculate q(j(t)).\nAnswer: t**2 + 825*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d. Let y(w) = 8*w + 5*w - w. Let n(i) = 16*p(i) - 5*y(i). Let j(r) = -r - 2. Let v(u) = -1. Let x(a) = 2*j(a) - 4*v(a). Calculate x(n(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 424*o**3 + 152*o + 6722 wrt o.\nAnswer: 1272*o**2 + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215404123, 1215404125, 1215404129, 1215404135, 1215404143, 1215404153, 1215404165?\nAnswer: 1215404179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 - -0.02. Let w = 5459\/17 + -321. Let i = 5 - 5. Which is the closest to i? (a) w (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 19 - (7 + 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*p**3 - 109*p + 109*p + 1629*p**3.\nAnswer: 1294*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 838, 839, 840, 841, 842?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*-131176010\nAnswer: 393528030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 2*z - 20. What is w(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 13334\/177 - -56.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o*o**(-39)*o))\/(o*o**(-5\/7)))**29 assuming o is positive.\nAnswer: o**(7453\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 465995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628018893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - 6*n**5 + 6*n**5 + (3*n**4 + 2*n**4 - 3*n**4)*(-12*n - 8*n + 24*n) + (-2*n + 2*n + 2*n)*(n**4 - 12*n**4 - 2*n**4).\nAnswer: -19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30461 is divided by 10151.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298565.\nAnswer: 3, 5, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 + 6144654*y - 4 - 12289327*y + 6144658*y - 4.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1) - (-13)\/13. Is (-5 - -3) + n + 3674 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 4. Let u be m(4). Solve -a - 1 = -u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -681847*l**3 - l**2 + 2*l - 6349564?\nAnswer: -2045541*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i + 13. Let y(k) = -4*k**2 - 6*k - 40. Calculate 10*m(x) + 3*y(x).\nAnswer: -2*x**2 + 2*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5}. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -31\/51312106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2540949 divided by 3\nAnswer: 846983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2937)\/9*-3 + 8?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*h - 3*h**2 + 98*h + 78*h.\nAnswer: -3*h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-20) + (-2 - 0)\/8. Sort c, -3, 2 in descending order.\nAnswer: 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3137402, -3137393, -3137370, -3137327, -3137258?\nAnswer: -3137157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:54 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -31\/4 (b) -1\/6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50086 - 79?\nAnswer: -50165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185042 (base 11) in base 4?\nAnswer: 13312003321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.29.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 395515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (68\/10)\/(12\/60). Suppose 5783 = l*j - 5301. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 106167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by -7 + 103 + (-2 - 1) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6030121 + 18?\nAnswer: 6030139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*h - 2388 + 178 = -262 + 1724 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2827*k - 10958. Let c be p(4). Solve 133*t = 183*t + c for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*(0 + sqrt(1900)) + sqrt(1900) + sqrt(1900)))**2 + 4 + -4 + 5.\nAnswer: 760005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552496 and 609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 76. Let d(s) = 2*s. Determine f(d(x)).\nAnswer: 2*x + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89028557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147374, 294835, 442346, 589931, 737614, 885419?\nAnswer: 1033370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 270, 80, 4 in decreasing order.\nAnswer: 270, 80, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1275 >= -1276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1*d*d)\/d**(-4\/9))\/(d**(-4\/5)*d\/(d**(-3\/10)*d)*d) assuming d is positive.\nAnswer: d**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/5 + 13769\/245 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + z = -4*a + 9, -3*z - 5 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/101 in -2\/19, 4, -66, 2\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j + j**2 - 2*j**2 - 132 + 2*j**2 + 145. Let y be r(-2). Solve -5*d = -y*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1397*b**2 + 1399*b**2 - 54*b - 16*b in the form l*b**2 + u*b + t and give u.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r**3 + 88*r**2 - 27*r + 13. Give p(-10).\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 117*f + 1865. Give t(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -479*h**5 + h**4 + 3595*h**3 + 77*h**2 - 10726?\nAnswer: -28740*h**2 + 24*h + 21570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/94 (b) 0.4 (c) 21711\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2620*i = -90033 - 57142 - 164605 for i.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41249 times 35\nAnswer: 1443715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -46. Let j(d) = -d**2 + d - 1. Let n(t) = 4*t**3 - 5*t**2 + 5*t - 5. Calculate o*j(x) + n(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12dc26 (base 16) to base 13\nAnswer: -343785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*h**2*j**3*q**2 - 43*h**2*j**2 + 2*h**2*j*q - h*j**3*q**2 - 7*h*q**2 + 24*j**3 + j*q**2 wrt h.\nAnswer: 88*j**3*q**2 - 86*j**2 + 4*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 3. Let i be z(-3). Let x be (-1 - i)*-1*-1. List the prime factors of x\/((6\/99)\/(-2)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1063 - 1664. Let n = f + 603. Solve o - k + 19 = -3*o, -n*o - 6 = -4*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124 = -5*a + 4*r, -6*a = r + 3*r - 1340. Calculate the greatest common divisor of 232 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2580, -4\/77, -4, 2?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**3 + 350*z**2 + 1460*z + 1480 = 0.\nAnswer: -2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390 + 0*x + 379 + 2*x.\nAnswer: 2*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1703*p*w**3 - 4*p*w**2*z + 2*p*w**2 - p*w*z**2 - 2*w**3*z**2 + 20*z**2 - 2 wrt w.\nAnswer: 10218*p - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 23*i**2 + 4*i - 5. Let x(z) = z + 1. Determine -c(m) + 2*x(m).\nAnswer: -23*m**2 - 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.37828.\nAnswer: 0.57828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145137401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270992458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 108 + 208 + 23*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168342, -168341, -168340?\nAnswer: -168339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3. Let a(z) = -2*z + 36. Give a(j) + 2*d(j).\nAnswer: -2*j + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 + 125. Which is the smallest value? (a) 0.5 (b) 24 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*o + 912 = 360*o. Let k(a) be the first derivative of 46*a + 0*a**4 + 0*a**3 + o + 0*a**2 + 6\/5*a**5. What is the derivative of k(n) wrt n?\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10386227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -95216+-9\nAnswer: -95225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 2*s**2)*((1 - 1 + 2)*(-4 - 1 + 3) + 4 + 0 - 3)*(-1 - 4 + 4).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -111?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 5)*(-b - 1 + 1) - 2*b + b + 4*b)*(-4233 + 3782 + 8180 + 8771 - 1215) to w + v*b and give v.\nAnswer: 15285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 12 - 63*n**2 + 1.\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 2. Let u be t(2). Factor 3*q + q**2 - 4*q**u - 3 + 3.\nAnswer: -3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1)*(-j + j + 2*j + 2 + j - 2 + (4 - 1 - 1)*(-j + 3*j + 0*j) + 2*j + 4*j - 5*j + j - j + j) in the form m*j + v and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 28.4. Let r = p - -0.6. Let w be 21\/(-28)*2\/(-3). Which is the smallest value? (a) -0.5 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = -2. Let c be 50\/8 - 3\/12. Let q be (-4)\/c - 78\/(-63). What is the closest to p in 0, q, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/2 + 15*p**4\/2 + 21*p**3 + 3*p**2 - 39*p\/2 - 21\/2 = 0. Calculate p.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*q + 223289, 2*q - 172648 = -w - 23792. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -218776*y**3 - 83953?\nAnswer: -656328*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28480 rounded to the nearest 100?\nAnswer: 28500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 108 + -2?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - (-4 - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) - (sqrt(5) - 4*sqrt(25)\/sqrt(5))) + 5*(sqrt(320))**2*-6.\nAnswer: -9602 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1255*r - 83. Is v(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 152. Sort w, -0.4, 1, -2 in increasing order.\nAnswer: -2, -0.4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16670.1.\nAnswer: 16670.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:11 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 9 = m + 4*l, -18 = 2*m - 4*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229 - 451.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 308450102*o*t + 85834*o - 776 wrt t?\nAnswer: 308450102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*i = 14, -324*i - 312*i + 638*i = 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7 + (36 - (-196968)\/(-5481)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(176) - sqrt(11))**2 + (3*sqrt(22)\/sqrt(2))**2 + (sqrt(121)\/sqrt(99) - (0 + sqrt(1584)))**2.\nAnswer: 15212\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5212 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33046*y + 6156 = 32722*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/18*10\/(-55)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5*(-42)\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/(((-6)\/(-2))\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 33339640*g + 69470724708100.\nAnswer: 4*(g - 4167455)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5070 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -637449.398 - -637488.39799935. Let s = g - 39. What is s rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*r - 1044, -j - 1 = -0*j. Let h be (5*r)\/(2\/(-29)). Suppose 2*f - 2*w = -h, 0 = 4*f + 3*w - 5*w + 75990. Round f to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294804 - 93428 = -54*s - 118394. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 29*d. Let x(w) be the second derivative of -2*w**3\/3 + w - 112. Give x(z(s)).\nAnswer: 4*s**2 - 116*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 5*y + 14. Let r = 17 - 25. Let z be a(r). Is 0 + 2 + (z - (-1)\/1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 7*j**3 - 6*j**3 - 7*j**3 + 5*j**3 + 12*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161056098 - -40.6.\nAnswer: -161056057.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1731795+12444839\nAnswer: 10713044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9714, -9681, -9660, -9651, -9654?\n\"Answer: -6*r**2 + 51*r - 9759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5416312 * -0.1.\nAnswer: -541631.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1080 + -93186.934017.\nAnswer: -92106.934017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 18*t = 26208. Let g be (-16128)\/t + 2\/13. What is the highest common factor of 52 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11 - 3*w**3 + 4*w**3 - 8*w + 14*w**2 + 32*w. Let p be v(-12). Solve -5*n = -4*g - p, 3*n - n = -2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(1 + 3 - 2) + 2 - 5 + 2)*(2 - 3*y - 2).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 12. What is the tens digit of 3 - (-15 - y\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96576642 divided by -760446?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*b**3 + 28*b - 28*b + 62*b**3 + 15*b**3 - 198*b**3.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 38. Let v be k(10). What is the highest common divisor of v and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 3*b**4 + 3*b**5 + (-2 + 2 + 1)*(-3*b**5 + 5*b**5 - b**5) - b**5 + 3*b**5 - b**5.\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*(-7)\/((-63)\/(-1662)). Let m = 476 - z. What are the prime factors of m?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1774653 and -143.\nAnswer: -253775379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -3.2. Suppose -2*z = y + 12, y - 6*y = -2*z. Let t(d) = 4*d + 3. Let h be t(y). What is the second biggest value in 3, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 3*z - 5*b, z + b = 4. Suppose -2*d + z*f + 21 = d, -d = 4*f - 22. What is the greatest common divisor of d and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 25*n**2 - 19*n - 78. Let j be x(24). Find the second derivative of -29*u**4 - 7*u**4 + j*u + 12*u**4 - 13*u**4 wrt u.\nAnswer: -444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199380.\nAnswer: 2, 3, 5, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-4) + (-1)\/(-4))*6. Let b be 1\/((-77 - w)*1). Is b greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -252*m**3 - 20*m**2 + 13*m - 13. Let g(w) = 64*w**3 + 5*w**2 - 3*w + 3. What is 26*g(v) + 6*i(v)?\nAnswer: 152*v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 288 - 188 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 12772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 23 - 31. Suppose 44 = 3*f + f + 3*r, -24 = -2*f - 2*r. Let q be (f\/(-3))\/((-4)\/6). Sort t, 1, q in decreasing order.\nAnswer: q, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197167?\nAnswer: 71, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -260*l**4 - 735*l**3 - 380*l**2 + 105*l + 10 = 0. Calculate l.\nAnswer: -2, -1, -1\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 31 = -39 - 42 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 309886, 619774, 929662?\n\"Answer: 309888*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -133427 + -6?\nAnswer: -133431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*5*(-6)\/(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 101*h**5\/20 + h**4\/6 + 107*h**3\/6 + 7*h**2\/2 + h + 336. Find the third derivative of p(t) wrt t.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109875769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 4:05 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 1. Suppose 5*p = -3*r + 27 + 22, -5*p = -r - 17. Let n = -5 + r. Sort n, 1, q in increasing order.\nAnswer: 1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 16*h**2 + 19*h**2 - 143*h.\nAnswer: -2*h**2 - 143*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 24. Suppose z = q + 3*r, -4*q + 0 - 2 = 5*r. Is (-1)\/(q*4\/804) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 21*m**2 + 22*m - 41. Let p be i(20). Which is smaller: -18\/37 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431608 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)*x*x**2\/x*x*x**(-1\/14)\/(x*x\/(x**(-2\/19)*x)))**(-47) assuming x is positive.\nAnswer: x**(-20774\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20))**39 assuming i is positive.\nAnswer: i**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354 + 353.5. Suppose -i = 253 + 21. Let z = i + 2470\/9. Which is the smallest value? (a) r (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 213987602?\nAnswer: 1711900816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 10:55 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q**2 - 10*q - 2. Let z(t) = -t**2 - 6*t + 9. Let m be z(-8). Calculate the remainder when 34 is divided by w(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 104. Suppose j = -n + 4. Suppose 14 = -3*o - 4*f, 0 = -4*o + 3*f + 2*f + 33. What is the lowest common multiple of n and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 2. Let n(l) = -l**2 + l - 1. Let v(u) = -h(u) - 2*n(u). Is 16 a factor of v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 8. Let z(s) = 12 - 4 + 0 - 7. Suppose 64*q = 72*q + 840. Let x = 111 + q. Determine x*z(p) + f(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -165, -256, -231, 0, 527, 1440?\nAnswer: 2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvbnbtvnblqbbq. Give prob of picking 2 n and 2 v.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 16. Suppose 3*l = 24 - g. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/30)\/(121040\/68352)\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 42345627*f.\nAnswer: 3*f*(f + 14115209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d - 5. Let s(x) = -5 - 5 + 0*x + 11 + x. Let u(j) = m(j) + 6*s(j). Calculate u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-12 + (16 - 8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107*n**3*q**3 - 181*n**3*q - 53184*q**3 wrt n?\nAnswer: 321*n**2*q**3 - 543*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 347516 and 143?\nAnswer: 3822676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let f(q) = 671*q**2 + 3854. Calculate r(f(b)).\nAnswer: 1342*b**2 + 7708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*o**2 - o**2 - o**2 - 10 - 11*o**2 wrt o?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f)*(0*f**2 + 12*f**2 + 0*f**2 - 2*f**3 + (7 - 4 + 0)*(4 - 4 - f**3))*(3*f + 4*f - 6*f).\nAnswer: -5*f**5 + 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - o - 1. Let s(x) be the third derivative of 7*x**5\/60 + 5*x**4\/24 + x**3\/2 - x**2. Let v(k) = 6*l(k) + s(k). List the prime factors of v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a + 5. Let z = 4 + -6. Let w = 2 + z. Let i be n(w). Solve i = -0*f - f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*j - 6 + 2 = 0, 0 = -3*n + 3*j + 18. Suppose 4*q - n = o - q, 0 = -3*o + q - 80. Let g be o\/(-6)*-3579 - -2. What is g rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide -6 + 64 + -1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42357 and 620088?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -18*u - 1\/3*u**3 + 0 + 0*u**2. Let v(h) be the first derivative of -h**3 + 1. Determine a(v(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 5780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 + 1. Let p be h(-1). Let f(i) = i**3 - 8*i**2 + 8*i - 1. Let m be f(7). Does 26 divide 37*(-6)\/(m\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 706, 702, 698, 694, 690, 686?\n\"Answer: -4*s + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 64. Let k = f - 32.2. What is the smallest value in 3\/4, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 127, 263, 419, 601, 815, 1067, 1363, 1709?\n\"Answer: a**3 + 4*a**2 + 117*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000172 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5265 and 12.\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 10*k**2 - 8*k + 8*k - 9*k**2 - 39 + 2*k**2 as l*k + p*k**2 + f*k**3 + v and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1444 and 4?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 10. Let y be n(-8). Suppose 69 = d - 5*r, -5*r - 15 = -y*d + 123. Suppose 401 = 5*j - d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, 1985 in increasing order.\nAnswer: 3, 9, 1985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*2)\/((-2)\/(-4)). Suppose -10 = -3*y + i, 2*y - 4*i - 20 = -0*i. Let g = -34 - -40. Solve y = s*h - g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 13*w**2 - 34*w - 65. Let o be n(-15). Which is the closest to 0.9? (a) o (b) -11 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 1116 + 2*k**3 + 5*k - 2*k**2 - 3*k**3 - 1115. Determine f(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*h + 1 = 17, 5*l - 29 = 2*h. Suppose -247 = -x + 4*v, -l*v = -4*x - 6*v + 928. What are the prime factors of x?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v + 3. Let h be g(3). Calculate the lowest common multiple of 7 and (4 - 21\/h) + (-122)\/(-4).\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.86176 rounded to zero decimal places?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40, -1.6 in descending order.\nAnswer: -1.6, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77776.\nAnswer: 2, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/35093 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1\/f)\/(f\/((f*f**1)\/f)))\/(f**(2\/11)\/(f**(-1)*f)))\/(f\/(f**(-2\/3)*f)*(f*f**(1\/8))\/f*(f**(-2\/3)\/f*f*f)**43) assuming f is positive.\nAnswer: f**(-1347\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -483, -942, -1401, -1860?\n\"Answer: -459*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmm. What is prob of sequence mmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a factor of 365108039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -433480 and 0.73.\nAnswer: -433479.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 4. Which is smaller: -0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5, 4, -9 in increasing order.\nAnswer: -9, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4075104 and 139\/10098.\nAnswer: 36675936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11554 < 11555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 + -1622010?\nAnswer: -1622321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k + 6 - k**2 + 8 - 9. Let g be t(8). What is the greatest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-2)\/6*-1). What is the common denominator of 5\/15 - (y - (-538)\/(-132)) and 1\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20447.4501 to zero decimal places.\nAnswer: -20447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 12481524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**6*w)*(w\/(w*w\/w**(2\/13)*w))\/w*(w*w**(2\/7)\/w*w)**(1\/10))**9 assuming w is positive.\nAnswer: w**(18693\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000405549242 to seven dps.\nAnswer: 0.0004055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749262896.\nAnswer: 2, 6863, 25037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5 + 21. Suppose -2*u + 12 = -0*u. Let v = u + n. Which is the smallest value? (a) v (b) 1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 42. What is the units digit of -3 - -69 - (g + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289064 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18296 and 0.27.\nAnswer: 4939.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 43*y**3 - 8*y + 74 + 7*y.\nAnswer: 43*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 2*j**2 + 4*j. Let v be a(3). Differentiate 9 - r - v - 3*r**3 + r with respect to r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 17 + 72 = 0. Let t be ((-2)\/(-5))\/(3\/(-6)). What is the third biggest value in 12\/5, 2, w, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246 divided by -1123?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 - 3*m**2 + 3*m - 1. Suppose 4*u + 8 = 8*u. What is the tens digit of r(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4*7\/(-56))\/((-2)\/(-144)). Calculate the greatest common divisor of 84 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, x: 1, a: 1}. What is prob of sequence ixi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 + 163. Let l(o) = -3*o**2 - 6*o + 1. Let p be l(4). What are the prime factors of 2 + 2 + (t - p)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591300 to the power of 1\/2, to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*d**4 + 0*d + 32\/5*d**2 + 0 - 24\/5*d**3.\nAnswer: 4*d**2*(d - 4)*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) 1\/2 (d) -0.2 (e) -24\/7 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.4 (c) 6851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189714431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 285 - 855. Calculate the remainder when 1043 is divided by j.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 12 - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 267 = -4*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.14 and -299.\nAnswer: -639.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -22 + -8 + 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -12 + (-15 - -28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*z + z**2 - 4430*z**4 - 110*z + 61 + 286*z - 93*z wrt z.\nAnswer: -106320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 36811239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u - 4*u**4 + 4*u + 9 + 5*u**4 - u**3 to l*u + g*u**4 + c*u**3 + o + t*u**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 + 3*f + 8*f - 2 - 11*f as u*f + b + r*f**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -659, 0.2, 5 in descending order.\nAnswer: 5, 0.2, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -4126*n**3\/3 - 10877*n + 2271. What is the first derivative of r(p) wrt p?\nAnswer: -8252*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*x**5 - 51*x**5 - 5*x**5 - 23*x**5 + 1 + x**5 - x**5 + 2*x**5 + (2*x**2 - x**2 + x**2)*(x**3 + 0 + 0).\nAnswer: -77*x**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 160 = 5*p. Suppose -p = 7*n + n. Let i(g) = -g**2 - 3*g + 5. Let l(t) = -t + 1. Let v(j) = -i(j) - l(j). Give v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*d + 11 - 178*d + 12 + 1 as l + t*d and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 12546688?\nAnswer: 12546688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, 4\/9, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -684b9a (base 13) in base 2?\nAnswer: -1001011010010011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -82. Suppose -5*n + u*v + 69 = 0, -4*n = v + 4*v - 42. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d**(1\/3)*d)\/d)\/((d*(d**(3\/4)*d)\/d*d)\/d))\/(d**(-1))**(6\/13))\/((d**(2\/11)*d**(2\/7)*d)\/((d**(-5\/3)\/d)\/d*d*d\/d**(1\/10))) assuming d is positive.\nAnswer: d**(-131491\/60060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -61*j**5\/20 + 391*j**4\/12 + 255*j. What is the third derivative of u(x) wrt x?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 3*j**2. Let h be u(-4). Suppose -5*p = -p - h. What is the least common multiple of 22 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 3950260286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/(1\/3). Let b be (-87)\/27 - (-4)\/18. Sort d, b, 5 in descending order.\nAnswer: 5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-4) + 18\/36. Let x(m) = -m - 3. Give x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2. Let g(h) = 17*h**2. Let a(o) = -3*g(o) + 24*q(o). Let d(s) = -10*s. Give d(a(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 163, 631, 1419, 2527?\n\"Answer: 160*l**2 - 12*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l + 5*l**2 - 2*l + 2*l wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 2. Let w be (-4)\/((-4)\/(-2)) + 5. Let n(v) = 3*v - 3. Let l(f) = w*t(f) + 2*n(f). Let u(j) = 45*j**2 + 39*j**2 - 83*j**2. Determine l(u(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-p**2 + 0*p**2 + 0*p**2) + 3*p**2 + 2*p**2 - 3*p**2 + (-4*p - 3*p + 3*p)*(4*p - 3 + 3) as v*p**2 + n + c*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 245.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a + 10. Let s(l) = 4*l - 3. Calculate 2*i(j) + 7*s(j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.46442 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 f when four letters picked without replacement from fsfsffssfsss?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 350 - -193?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 313?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let s(g) be the second derivative of -5*g**3\/6 - g**2\/2 + 292*g. What is -3*c(i) - s(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**3 - m**2 + 2*m - 1. Suppose -2*i - 7 = 3*q, -2*q - 2*i - 9 = -q. Let g be d(q). Solve -4*h - g - 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 + r**3 - 3*r**3 + 2*r**3 + 3*r**2 - 3*r**2 + (-2*r - 5*r + 5*r)*(-r**2 - r + r) + 17*r**3 - 3958*r + 26*r**3 + 3959*r.\nAnswer: 49*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -3948, 84, -3.6?\nAnswer: -3948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 6, s: 4, p: 3, r: 1, x: 3}. Give prob of sequence ppsp.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)\/p)\/((p**(3\/7)*p)\/p)*p**(5\/6)\/((p\/p**(-7))\/p))\/((p*(p\/p**(-5))\/p*p*p**(5\/2))\/((p\/(p*p**(3\/7)))\/(p\/p**(1\/6)))) assuming p is positive.\nAnswer: p**(-757\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i + 12. Let s(t) = 6*t - 12. Let m(z) = 5*b(z) + 4*s(z). Let h be m(-12). What is the units digit of -1 - h\/(-4)*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23940732 less than -0.2?\nAnswer: 0.03940732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*q**2 - 35*q**2 + 4*q - 5*q - q**3.\nAnswer: -q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 + 6*l + 11. Let k be (-2)\/(6\/20*(-8)\/(-6)). Let x be s(k). Let v = -9 + 11. Solve 5*f - v*n + x + 12 = 0, f - 3*n = -1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khoo when four letters picked without replacement from kkokohokkkkookhook?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21951315 and -4.61.\nAnswer: -21951319.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/33 - ((-70)\/11)\/(-2). Let i(t) = -t**3 - 4*t**2 - 3*t - 6. Let m be i(d). Sort 1, 0, 3, m in decreasing order.\nAnswer: 3, 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -566 + 566.2. Sort -14, r, 4.\nAnswer: -14, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-140)*((-2)\/10 - (-14)\/(-5)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13282 + -2570976.\nAnswer: -2584258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**4 + 3*u**4 - 4939615 - 10*u**2 + 4939613 - 39*u**3 to the form z + j*u**2 + x*u + l*u**4 + y*u**3 and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003824 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from fnnneffennefnne.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -242, -239, -236, -233, -230, -227?\n\"Answer: 3*v - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171160 by 42790.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 - 9*o + 1. Let m = 4 + 1. Let y be x(m). Let c(t) = -4*t**2 - 11*t - 6. Let g(l) = -l**2 - l. Let d(v) = -c(v) + 5*g(v). Give d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f**3 - 195*f - 77*f**2 + 197*f - 4 + 4.\nAnswer: -57*f**3 - 77*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 + -1.9. Suppose -2*i = 3*i - 10. Let u be 1 + i\/(16\/(-6)). Which is the closest to u? (a) k (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15106202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)\/k)\/k*k*k*k**1*(k*k**3)\/(k**(1\/9)\/k) assuming k is positive.\nAnswer: k**(239\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02466628 rounded to four decimal places?\nAnswer: -0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -1 + 2 + 1. Suppose -7 - 1 = 2*c. Let o be ((-4)\/c)\/(1 + 0). Put o, -5, a in descending order.\nAnswer: o, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 104\/9 (b) 0 (c) -3\/95528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -47. Let m(a) = 3*a - 5*a**2 - a**3 - 14 + v*a**2 - 2*a**2 - a. What are the prime factors of m(13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 31*y**2 - 16*y + 89. List the prime factors of s(8).\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzhzzzddzr. What is prob of sequence dh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189*r**4 - r**2 + 738.\nAnswer: -4536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58359?\nAnswer: 3, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 11, t: 2}. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22952048 by 16232.\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250147054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123.48 + 118.48. What is the nearest to -1\/2 in -149, -3\/8, 0, f?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22*c**2 - 9705*c - 1332. What is x(-441)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -318\/43, -2 in descending order.\nAnswer: 1, -2, -318\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.095965 + -0.0959598451. What is y rounded to 7 decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -285 (b) 2\/13 (c) -5\/3 (d) 569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4132*z + 528 + 6526 = 56638 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 2) + -1 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.2508319451 + -0.2?\nAnswer: -111.4508319451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -4 (c) -2 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (1 + sqrt(1008) - sqrt(1008))*4 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 2\/3, 0.4, 8, 1, 3\/7, -13\/76?\nAnswer: -13\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*q - 6*q + 6*q)*(4*q - 4*q - 6*q**3).\nAnswer: 312*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -965, 20, -0.3, 5 in increasing order.\nAnswer: -965, -0.3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 63 = 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a - 27*a - 55*a.\nAnswer: -116*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*q - 6 = 0, 0 = -0*t - 2*t - 4*q + 12. Let c be (-2 - -1)*(0 - t). Let r be ((-153)\/34)\/(18\/(-8)). Solve c*b = b + r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 19*n - 32. Let c(h) = h**2 + 13*h + 19. Let l be c(-13). Let w = 6 - l. Calculate the remainder when m(w) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -4*o. Suppose 21 + 51 = o*d. Suppose -2*i = -0*i - 4, -d = -3*v + 3*i. What is the highest common divisor of v and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cocy when four letters picked without replacement from {y: 4, c: 2, o: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.017 - -0.043. Let p = 4.06 - 4. Let w = m - p. Which is smaller: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2683\/84 + 145\/12. Let u = i + 20. Let c = -0.6 - -1. Sort -0.2, c, u in decreasing order.\nAnswer: c, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2 + 2)*(0*z**2 + 0*z**2 - z**2)*(z - 2*z - z).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320016 rounded to the nearest ten thousand?\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and 1032?\nAnswer: 165.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.3 + 7. Let j = r + 7.3. Let f = j + -7.0016. What is f rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21123021 - 1001?\nAnswer: -21130022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -428 + 511. Calculate the remainder when 0\/((-20)\/(-5)) + n is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -120*l**2 - 63726*l - 3188. Determine w(-531).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*50031.\nAnswer: 3001.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.4. Let a be 2 + 8\/60 + -2. Do a and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98565 greater than 98565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5815624 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-20)\/l)**(-11) assuming l is positive.\nAnswer: l**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2199 = -388*y - 9571 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 0*g**5 + 0*g**2 + 2\/15*g**6 - 2*g + 4*g**3 - 7\/3*g**4 - 18. Let u(n) = 0. Calculate n.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 17491106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/825)\/(9\/132)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/135 or 1?\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7255 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 take away 42863985.69?\nAnswer: -42864281.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -1, 2\/69, -1\/6?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 35*x - 10. Let z(b) = -36*b + 11. Let f = 48 - 55. Let i(w) = f*c(w) - 6*z(w). List the prime factors of i(-3).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2380 = 7*y + 5*y. What is the least common multiple of y and 357?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 750434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141218\/3 + -47204. Which is bigger: 2\/7 or s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -30*d - 81. Let o be f(-11). Let m = -245 + o. Solve 64\/11*l**m - 4\/11*l**2 - 2\/11*l + 30\/11*l**3 + 0 + 32\/11*l**5 = 0 for l.\nAnswer: -1, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:25 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 62 - 22. Suppose -2*r + 2*f = 2*r + 14, -3*r + f = 11. Calculate the remainder when r\/y + (-366)\/(-5) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -17955977.\nAnswer: 8977988.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 4*l + 3. Let c be o(3). Let p = c + -12. Let v = p + 15. Is 3 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 1. Let u(y) = -3*y**2 - 2 - y**3 + 3*y**2 + 0. Determine -2*f(m) - u(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 8, 361*l - 363*l - 2*n + 18 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*h = -21, -5*p - 3*h + 5*h = -9. Let w be 1 + 0 - (p + -14). Suppose 3*g + n - w = 0, 15 = 2*g - g + 4*n. Is g less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-364)\/(-30) - 912\/76)\/2\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-5)*(-4 + (-4 - -3)). Suppose -t*n + 5*n = -36. Find the second derivative of 0*p + 8*p**5 + n*p - 2*p wrt p.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 a factor of 607827353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/8, 17, -3\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/8)*v*v*v)\/(v*v\/(v**(-3)\/v)*v))\/(v**1)**22 assuming v is positive.\nAnswer: v**(-207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*x - 3 = 2, 3*l - x = -2. List the prime factors of (l - 15)*(-6)\/(48\/34).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + -2*sqrt(187))*-2 - (-1*sqrt(187) - sqrt(187))*-4)\/(sqrt(539) - ((sqrt(539) - 6*sqrt(539)*-2) + sqrt(539) + sqrt(539))).\nAnswer: 3*sqrt(17)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1314 and 36.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8185 = -5*m - 0*u, -5*u = -m + 1659. What is the greatest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597450 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, n: 5, t: 4, f: 6}. Give prob of picking 2 n and 1 t.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 48, 5, 0.2, 50.\nAnswer: 2\/17, 0.2, 5, 48, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -4, 3, -3, -1, 8 in increasing order.\nAnswer: -11, -4, -3, -1, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35008 + 9?\nAnswer: 35016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlcancanenia. Give prob of sequence nca.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 532696\nAnswer: -8\/66587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1065 = 409. Let a = k - -4487. Suppose -4*s - 3*n + n = 4806, 5*n + a = -4*s. What is s rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-5)\/(-20))\/(3\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107807 + 5024. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 19 = 3*x - 102, 0 = -5*x - 4*l + 149. Suppose 11*g - 55 = -x. Solve i + 4*h = g*i + 23, -3*i - h - 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**5 - 169*s**4 - 10613*s**2 - 2713*s + 698?\nAnswer: -20*s**3 - 2028*s**2 - 21226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(1088) - (sqrt(1088) - ((sqrt(1088) + sqrt(1088)*2)*-3 + sqrt(1088)))) + -5*(sqrt(1088) + 0)*5)*2)**2.\nAnswer: 101376*sqrt(17) + 75829824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**4*s**2 + 176*j**2*s**3 + 2*j*s**3 - 2*j*s**2 - 123*s**2 wrt j?\nAnswer: -12*j**2*s**2 + 352*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-68)\/102)*(-7)\/35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f. Let t(x) = -14*x - 199 + 102 + 97. Calculate t(a(s)).\nAnswer: -154*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*w + 35*w - 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -7, 8, -1, -5, 83.\nAnswer: -17, -7, -5, -4, -1, 8, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.42. Is -2 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-10) + 1926\/(-1620))*(-138)\/200 and 101\/528.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddbbdddddbdddddbbmd. Give prob of picking 1 m and 1 d.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 - -122102121000?\nAnswer: 122102200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = 7. Let j be (33\/6)\/(6\/12). Suppose -3*l + 5*p - j = 0, 2 - k = 2*l - 2*p. Solve 2*d - l*q = -5 + 11, 2*d = -2*q + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/7*(-7)\/2. Suppose -m*d + 3*d = 7. Suppose d = u - 0*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 2*i - 5*l, 32*l - 236 = 131*i - 127*i - 1044 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 19*f**7\/21 - 49*f**3\/6 + 45*f. Find the second derivative of v(b) wrt b.\nAnswer: 760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.918 + -27.718. Sort h, -2, -0.4, -1 in decreasing order.\nAnswer: h, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147\/5 + 18\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3154720 - 0.3\nAnswer: -3154720.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (170\/(-51))\/((-4)\/6*1). What is the greatest common divisor of 45 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2135, -4356, -6567, -8762, -10935, -13080?\nAnswer: -15191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 3*r + 20. Let v(z) = -12. Let c be (-3)\/(-7) - 54\/(-21). Let u(y) = -y**2 + 24. Let p(q) = c*u(q) + r*v(q). Suppose p(k) = 0. What is k?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1067549 and 45\/46972156.\nAnswer: 46972156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**2 + x**4 - x + 6*x**2 - x - 2*x**2 to the form i*x + n*x**2 + s + k*x**3 + t*x**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3*o - 24, 8*z - 3*z = o + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + t + 33. Let u be h(0). Let q = -1 + 3. Suppose -2*f - 9 = q*a - 3*a, 4*a - 42 = 2*f. Calculate the greatest common factor of u and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 + -4 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b647 (base 12) to base 8\nAnswer: -46727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 2. Let k(u) = u**2 + 9*u + 5. Let t be k(-8). Let f be n(t). Solve f*o = 4*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62789 + -0.4.\nAnswer: 62788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 13 - 3)*(2*d**5 + 0*d**5 + 0*d**5).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1685621 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88379, 176636, 264751, 352730, 440579?\nAnswer: 528304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 21120202010?\nAnswer: 21120202033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = -1686 + 1686. Solve 3*d + 50*x = 51*x + 5, -4*d + 5*x + 3 = j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h = 30. Solve -h = -3*m - k, 4*m = -0*m + 2*k + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuiba. Give prob of sequence uaiz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 t when three letters picked without replacement from {b: 5, t: 2, j: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 34 = -2*j, -2*j + j - 56 = 2*c. Suppose 5*l + 4*i = -151, 5*i - 46 = 2*l + 3*i. Let t = c - l. Solve -k + 2*k + 4*r - 2 = 0, -r + t = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n + 8*n - 96 = 0. Let w(p) be the first derivative of 5*p**2\/2 + 5*p - 206. Calculate w(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13)**(12\/5))**46 assuming h is positive.\nAnswer: h**(7176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 1:09 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((32\/4)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(360\/(-18))*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -46590.\nAnswer: 1\/15530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136703 - -20?\nAnswer: -136683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apizxaiaa. Give prob of sequence ii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1073c (base 13) to base 12.\nAnswer: 152ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132157.858 rounded to the nearest one thousand?\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1234 - -5?\nAnswer: -122f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2336 = -1363*x - 18692 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3866 bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + d**2 - 4. Let p(g) = 21*g**3 + 5*g**2 + g - 21. Let k = 21606 - 21604. Calculate k*p(w) - 11*y(w).\nAnswer: -2*w**3 - w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 5*c**3\/6 + 4*c**2 + 210782*c. Let j(v) be the third derivative of -v**4\/4 - 3*v**3\/2 - v**2. Determine 6*j(l) + 7*t(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*a + 4*q, 4*a - 3*q + 0 = 50. Calculate the smallest common multiple of 66 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from kkekeveekk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**6*m**(-3))**18*(m\/m**(2\/7))**(-13)*(m*m\/(m\/((m\/m**1)\/m*m)*m))**(6\/5) assuming m is positive.\nAnswer: m**(-1073\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0*r + 1 - 1 + 40*r**2 - r. Suppose -2*c = -6*t + 2*t, 0 = -2*t - 4*c + 10. Is a(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -154?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -343693\/18 + 19101. Let i = 4056 + -2876. Let y = i + -11811\/10. Find the common denominator of y and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -10, -16, -22?\n\"Answer: -6*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16417 + -16422. Let p(g) = -g**3 - 5*g**2 + 7. Calculate p(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 26*w**2 + 24*w - 23. Give m(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4 + l**4 - 65*l**6 + 23*l**6 - 5*l**2 + 258*l**6 + 34*l wrt l?\nAnswer: 25920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -200.3.\nAnswer: 400.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 87.7 (b) -73 (c) -2\/5 (d) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 14*o**3 - 2*o**5 - 17*o**3 - 11*o**2 + 18*o**3 - 14*o + 3*o**5 wrt o.\nAnswer: 20*o**3 - 78*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2025 + 2103 = 3*p. Calculate the remainder when p is divided by 98.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.04064 months in years?\nAnswer: 15.33672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*20.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785, -634, -491, -356, -229, -110?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2366*r - 6086*r - 10166*r - 5947*r + 1857*r as z + g*r and give g.\nAnswer: -22708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5728*o - 719*o + 1172*o + 1948*o to c + m*o and give m.\nAnswer: 8129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54862 divided by -2.\nAnswer: -27431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/8))\/((z*z**2)\/z*z)*(z*z**(1\/2)*z)**(-7))\/(z**(2\/15)*z**(-1\/3))**(-49) assuming z is positive.\nAnswer: z**(-1187\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81690357.\nAnswer: 3, 7, 373, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34222188 a multiple of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7935419 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -36, -54, -72?\n\"Answer: -18*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001137551795 rounded to 7 decimal places?\nAnswer: 0.0011376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490427333, -490427336, -490427339, -490427342?\nAnswer: -490427345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 15. Let x(v) = -v**2 + 7*v + 1. Let c be x(b). Suppose -c = 4*z - 3. Which is smaller: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**6 + 1367*b**3*x + 5*b**2*x + 8*b**2 - 11*b*x wrt b.\nAnswer: -480*b**3 + 8202*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013187 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x + 19. Determine m(-22).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5083824 is divided by 12459?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2936 is divided by 733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 greater than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2786 is divided by 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) 12 (d) 0.9 (e) 1910 (f) -2 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-1564)\/(-69))*(-5)\/(-3)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57066717 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*c + 8 + 38*c + 13 - 169*c to q + t*c and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -30*r**2 - 2*r + 16. Let k(t) = -15*t**2 - t + 9. What is 5*k(m) - 3*y(m)?\nAnswer: 15*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + (-28)\/(-12). Let q be (s - 3)\/((-6)\/36). Solve 0 = y - q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(40\/135))\/(-3) + 324. Solve 0 = -10*n - 53*n + x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let d be (-1 + 0)\/((-6)\/186). Let p(t) = -t**2 + 3*t. Let h be p(2). Solve -r + y*f = h*f - 1, -5*r = -2*f + d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-16)*4)\/((-4)\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*k + 102*k = -746*k - 1444 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 3332, 2 in ascending order.\nAnswer: -1, 2, 14, 3332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/3 + 4*z**4\/3 - z**3\/3 - 4*z**2\/3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 50*u - 28*u + 2*u**3 - u**3 + 1 - 21*u. Give c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 4 in descending order.\nAnswer: 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -4*x**3\/3 + 20*x**2 - 84*x + 220. Let w(t) = 0. What is t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 9. Suppose -31 = -4*h - 3*l, 0 = -w*h - 2*l + 5*l - 3. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z**3 + 2*z**2 - 11. Let s(y) = -48*y**3 + 9*y**2 - 45. Let f(t) = 18*d(t) - 4*s(t). Differentiate f(n) wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02463806807 rounded to six decimal places?\nAnswer: 0.024638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.2, 0.3, -0.5, 129, 7 in decreasing order.\nAnswer: 129, 7, 0.3, 0.2, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66254705 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t - 173 = -123 + 60 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 15 + 12 - 1 - 29 - 218*k.\nAnswer: -218*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3. Let m(p) = p**2 + 8. Let w(v) = -3*m(v) - 8*s(v). Let a(j) = -j. Let y(r) = -r. Let u(k) = -2*a(k) + 3*y(k). Calculate u(w(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539*f**4 - 2*f**3 - 4*f**2 - 31399*f wrt f?\nAnswer: 6468*f**2 - 12*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5)\/w*w*w\/w**(-7))\/(w**7*w*w\/w**(5\/2)))\/(((w**(2\/3)\/w*w)\/w*w)**(-7\/11)\/(w**1)**(-3\/20)) assuming w is positive.\nAnswer: w**(1567\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*n + 469 = 0, 2*v - 2*n = -2*v + 1786. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 22*s - 21. Let z be h(-6). Solve 0*j - 5*t - 20 = -j, -z*j - t = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-4)*(3 - 1). Let g(h) = 2*h**2 - 6*h - 3. Let l be g(4). Solve -6*x = -p*x - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 46*p + 8. Let r be n(44). Let b = r - -102. What is the remainder when b is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -756458 - -756458.02. Let g be ((-1)\/(-12))\/(10\/(-6)). Let d = g + 11\/20. What is the smallest value in -0.2, 5, d, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((64\/(-28))\/(-8))\/(51\/(-119)). Which is smaller: d or 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**7\/210 - c**6\/180 - c**3\/3 + 3. Let t(p) be the third derivative of l(p). Let t(z) = 0. Calculate z.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 6*m - 2. Calculate f(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 806*j**2 + 185*j + 1. Is n(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -493*s**5\/5 - 760*s + 372. Differentiate c(b) wrt b.\nAnswer: -1972*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 22 = 5*a, 4*q = 4*a - 3*a - 34. Let c = -2 - q. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -699*k + 175. Let v be w(-2). What is the greatest common divisor of v and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449470247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r + 3*z - 5, 0 = 3*r - z - 28. Let p be (r\/2)\/(3\/(-6)). Let f = 19 + p. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22*b + 717. What is r(7)?\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y = 85*y - 1444590. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17561\/2342 + 2\/1171. Let n = o + -7. Suppose 4*k = 8, -2*l = 4*k - 12 + 4. What is the closest to -1\/4 in 4, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -3*i**7\/7 - 2*i**3\/3 + 18*i. Find the second derivative of c(s) wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*j**3 - 53*j**3 - 7 - 13*j**3 in the form o*j + s + d*j**2 + q*j**3 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1019 times -2\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302 and 12?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023301033 (base 4) to base 13.\nAnswer: -ab352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Suppose -2*z = 8, 3*k - k + 12 = -4*z. Let f(u) = 28*u - 316*u**2 - 55*u + 27*u - 107*u**k. Calculate f(s(p)).\nAnswer: -423*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asae when four letters picked without replacement from {y: 2, a: 2, e: 2, i: 1, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1232982 divided by -136998\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {x: 1, u: 1, m: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3951.\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 1. Let p(y) = 2*y**3 - 4*y**2 - 5*y + 3. Let a(h) = p(h) - 4*u(h). Suppose g + l = -10, 0 = -51*g + 53*g + 9*l + 76. Determine a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - 2*q + 41. Let u be d(0). Suppose -4*t + u = -279. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 c when three letters picked without replacement from zccppjggcccpjggc.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788 + 788 + 2888*o**2.\nAnswer: 2888*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Suppose y - 5*s = -6, -2*y - 2 = 3*s - 8*s. Suppose y*i = 2*i. Put i, g, -4 in increasing order.\nAnswer: -4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45785721 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14*m. Let j = -73 + 12. Let k = j + 63. Let r(v) = -9*v**2 - 9*v**k + 20*v**2. Determine g(r(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 742486145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 755213 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/180)\/((-26)\/5))\/(6\/18)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2668 + 122. What is the greatest common factor of 360 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75\/1306 or 0.5?\nAnswer: -75\/1306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 48. Let z = -7 + a. Let l(x) = -2 - z - 2*x + 2 - 3*x - x**2. What is l(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000666814 to seven decimal places.\nAnswer: 0.0006668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13885 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/30 and 26\/(-10) - (-3)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*t**5 - 5*t**5 + 9*t**5 + (-t**5 + 2*t**3 - 2*t**3)*(5 - 4 - 3) + 4*t**5 - 4*t**5 - t**5 + 2*t + t**5 - 2*t - 2*t**5 + 24*t**4 - 24*t**4 - 36*t**2.\nAnswer: 17*t**5 - 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2682 + -2686. Which is the closest to 1? (a) -3 (b) f (c) 0 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3413 + 3413.1. Let d be (-1 - 0) + 38\/26. Put d, o, 0 in increasing order.\nAnswer: 0, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -98*t**3\/3 + 111*t**2 + 213*t. Find the first derivative of y(g) wrt g.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -18*w. Find g, given that -2\/7*g**2 - 2\/7*g**3 + w + 4\/7*g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 2*i - 27, 0 = 820*i - 825*i + 2*l + 2*l + 84 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/616)\/((-3)\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 + 179. Which is the biggest value? (a) u (b) -2\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 43*j**2 - 101*j - 18. Let i(k) = 37*k**2 - 102*k - 17. Determine 7*i(v) - 6*o(v).\nAnswer: v**2 - 108*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (2 - (5 - 1)). Suppose 1 = -i - 3*q, -8 = 5*i + w*q + 8. Let r = -0.32 - -0.22. Put r, 2, i in descending order.\nAnswer: 2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -22. Calculate the remainder when 31 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*m + 603, 2*a - 5*m = 3*a - 143. Suppose -2*r = -a + 33. Let c = 66 - r. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 30*p**2 - 11*p + 590. Calculate g(-29).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 225823258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(30)\/(sqrt(10) - sqrt(160))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/478 or 1?\nAnswer: -1\/478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*w = -61*w - 7728. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 7) to base 8.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/12*(-12)\/(-21)*(-98)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-68)*2)\/(11886\/(-33677))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(11*k**2 - 6*k**2 + k**4 + 3*k**2).\nAnswer: 2*k**4 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmxxmxmxmxx. What is prob of sequence xxx?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -7 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2 + (-10 - -11). Factor 2*i**v + 2*i**3 - 3*i**3 - 28*i**5 + 27*i**5.\nAnswer: -i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/7 - 87*f**4\/7 - 419*f**3\/7 - 745*f**2\/7 - 576*f\/7 - 164\/7.\nAnswer: -(f + 1)**3*(f + 2)*(f + 82)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.303 and -859203.\nAnswer: -859202.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 4. Suppose 0 = 5*b + 3*o - 14 - 14, -3*b = v*o - 4. Let m be b\/6*(-6)\/(-4). Solve 7 = -2*q - 2*z + 3, -2*z = -m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.342 rounded to 1 dp?\nAnswer: -35.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2878, -5761, -8646, -11533?\nAnswer: -14422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 divide 1281585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(-2*j - 2*j + j) - 4*j - j + 3*j - 19 + 34 - 4*j - 14 in the form h + t*j and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2 = -4*c - 0, c = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-29 - (6 - 57)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - 122 + 276 - 10*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/19030335 and 53\/55?\nAnswer: 209333685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + sqrt(99) + -2).\nAnswer: -6 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83889 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7470240 by 94560.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 11327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a. Let x(h) be the second derivative of 0 - 3*h + 0*h**2 - 1\/3*h**3. Calculate g(x(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3 - 17632*m**2 - 5 + 45583*m**2 in the form g*m**2 + s*m + i and give g.\nAnswer: 27951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*m*x**2 + 655543*m + 151*x**2 + 100*x - 13 wrt x.\nAnswer: 14*m*x + 302*x + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 23 + 279 = 0. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6390345, 6390341, 6390337, 6390333, 6390329?\nAnswer: 6390325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56261\/6 + -9399. Let a be (-2)\/7 + 1629813\/(-210). Let z = 7753 + a. Calculate the common denominator of z and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4047746*k**3 + 1693919*k?\nAnswer: 24286476*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/4 + 3*k**3 + 3*k + 3. Let w be x(9). What is the highest common factor of w and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3996 and -145\/804?\nAnswer: 267732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**9\/24192 + k**8\/8064 - k**7\/1008 - k**5\/5 + 5*k**2. Let t(o) be the third derivative of d(o). What is r in t(r) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/3266 and 23\/15478.\nAnswer: 355994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17542, 17533, 17524?\nAnswer: 17515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/6*(-6)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -24*i + 2716. Give j(99).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3021968.\nAnswer: 2, 67, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -556191.3 and 5469.2?\nAnswer: 561660.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 16*x - 12*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 - 131*u**2\/2 - 4355*u - 8450.\nAnswer: -(u + 2)*(u + 130)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1111403.97 seconds?\nAnswer: 12.863471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.6263 (b) 0 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 5, -5, -11284 in decreasing order.\nAnswer: 5, -5, -140, -11284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7490\/4083 - 3\/2722. What is the closest to -2 in a, 0.2, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2466 and 0.3?\nAnswer: 2465.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5243 and 5?\nAnswer: 26215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 625303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69965, 279991, 630365, 1121357, 1753237, 2526275, 3440741?\nAnswer: 4496905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 2. Let n(q) = q - 5. Let p(h) = -6*n(h) - 7*o(h). What is p(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.174265 plus -0.01531?\nAnswer: -0.189575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -122 + 1825?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + -2 - (-8 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*i**3 - 2 + i**4 + 5 + 28*i + 0 to the form y*i**3 + z*i**4 + j + a*i**2 + t*i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8)\/1 + (23690\/(-16))\/(-115).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + (-7 + 31 - 27) + -13 + 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5065411 - -34?\nAnswer: -5065344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*u - 2, 0 = 4*f + 5*u - 29 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2524484 (base 10) to base 14\nAnswer: 49a004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 2*s**2 - 2*s + 1. Suppose -36*b + 3 = -35*b. Calculate c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b42b94 (base 14) to base 13.\nAnswer: 134a372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1469 + -1468.999990499. What is y rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 11. Let l be v(-5). What is the hundreds digit of (l\/(-12))\/((-4)\/3987)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 209*p - 49354. Give l(-141).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 - 14736*z**3 - 10105018*z**2 + 61028196*z - 91741392 = 0. What is z?\nAnswer: -6602, -772, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12369 is divided by 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -8 - -2) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 2*m**2 - m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -5*t + 18, -5*t = -4*v - 16. Let m = v + 1. Differentiate -1 - 5 + 5 + 0*s**2 + 2*s**m wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106\/81 - -2\/81. What is the second smallest value in -1\/5, a, -5\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 134, 185, 216, 221, 194, 129, 20?\n\"Answer: -f**3 - f**2 + 75*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/4 + 41*u**3\/6 + 497*u**2. What is v(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 1. Let j(c) = -25542 + 16*c**2 + 25542 - 6*c**2. Determine j(a(p)).\nAnswer: 10*p**2 - 20*p + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 3*z + 23. Let v(f) = 2*f**2 - 3*f - 25. Give 4*t(g) + 5*v(g).\nAnswer: 2*g**2 - 3*g - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vqvhqhaavqv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5163*g + 72313. Calculate m(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/19)\/m)\/(m\/((((m*m*m**(-2\/15)*m*m)\/m)\/m)\/m*m))*m**(-6)\/m**(-1\/2))**(-46) assuming m is positive.\nAnswer: m**(75233\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -7 + 3 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*g**2*u - 123886*d*u + 2*g**2*u - 4*g**2 - 40*g*u - 109*g wrt d?\nAnswer: -g**2*u - 123886*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -558, -1131, -1704, -2277, -2850?\nAnswer: -3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2947.8697 + -2948. Round a to 3 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22096007.\nAnswer: 41, 538927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567?\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 13\/16 (b) -736 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853493 (base 10) to base 4.\nAnswer: 3100113311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**4 + 23*u**3 + 118*u**2 + 173*u + 115. Let a(n) = n**4 + 8*n**3 + 39*n**2 + 58*n + 38. Let h(x) = 14*a(x) - 4*l(x). Factor h(y).\nAnswer: 2*(y + 2)**2*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 513\/36 - 455\/35?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.01 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -2\/33, -4, -0.2, -0.3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1533 and 219562830.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -0.033, 4, -42263, -14?\nAnswer: -42263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3745 by 3745.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.521552 and 1.3.\nAnswer: -0.6780176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 5*v + 8. Let z be k(7). Suppose 0 = 5*r + m + 31, 4*r + m + 23 = 2*m. List the prime factors of (4\/r)\/(z\/81).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/121 (b) 0.4 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*u + 19 = 0, 2*h - 192*u - 17 = -193*u for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26492 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/5 and 2\/7*(-52)\/(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, j: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 + -714\/5. Let d be ((-1)\/(-3))\/1 - (-3216)\/12060. What is the biggest value in 1, l, d, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**4\/2 + 105*c**3 - 134*c**2 + 44*c.\nAnswer: -c*(c - 22)*(3*c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-3 + sqrt(204) - sqrt(204))*6*-3*-6)\/(5*(sqrt(1452) - sqrt(1452)*1*3)).\nAnswer: 162*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*c**5 - c + 15*c**5 - 26*c**5 wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 11*u - 30. Let n be r(5). Sort -0.4, 2\/11, 0.2, n in decreasing order.\nAnswer: 0.2, 2\/11, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - w = 17, 20*w = 9*b + 19*w - 169 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -701 (c) 16 (d) 4 (e) -3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 3*y = 8. Let c(i) = -41*i - 5. Let v be c(y). What are the prime factors of 18\/v + (-459)\/(-2)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5695*h + 1911*h - 98384 = 0 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16622895053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-4*t**2 - 4*t**2 - 3*t**2) - 3*t**2 + 2*t**2 + 0*t**2 + (t - 3 + 3)*(-t - 1 + 1).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - w - 7. Let t(s) = -4*s**2 + 4*s + 19 + 22 - 3*s - 28. Let p(v) = 5*f(v) + 3*t(v). Determine p(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 25*b. Let n(j) = 2*j. Let l(w) = -w**3 + 3*w**2 + 7*w - 10. Let y be l(4). Suppose y*a = -10 + 2, 5*a = -4*g - 32. Give g*f(c) + 35*n(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 115, 279, 581, 1063, 1767?\n\"Answer: 7*p**3 + 6*p**2 + p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q**3 + 2*q)*(-12*q - 7*q + 6*q - q + 3*q + 0*q + (-4 + 4 + 2*q)*(4 - 1 - 1) + 0 - 3*q + 0).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40791029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 40*n**2 + 10*n + 7. Is f(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 84 - (35 + 4)\/13?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*2)**2 + 4 + (2*(sqrt(13) + -1))**2.\nAnswer: -8*sqrt(13) + 1932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 12, d: 5}. What is prob of sequence ic?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14181791 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34422 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/5 + 6*d**2\/5 - 9*d\/5 = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:07 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a gram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34 from -28389662.\nAnswer: -28389696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 4) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3457*v**3 - 2054*v**3 + 184*v + 57*v - 242*v to the form s*v**2 + i + d*v + m*v**3 and give m.\nAnswer: -5511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 6, v: 2, n: 1, b: 5}. Give prob of picking 1 k and 2 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1}. What is prob of picking 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, h: 1, e: 3}. What is prob of picking 2 k and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*2*sqrt(130) + ((3*sqrt(130) + sqrt(130) - sqrt(130)) + sqrt(130))*1)\/(sqrt(1000)*1*-1*4).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -948 - -981. Calculate the highest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5 + 17*j**4\/4 - 21*j**3\/2 - 17*j**2 - 6*j = 0.\nAnswer: -2, -3\/4, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0 + 2*t + 0*t**2 - 1\/12*t**4 + 0*t**3. Solve f(y) = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 + 398319*s**3 + 4780015*s**2 - 17128263*s + 11949930 = 0.\nAnswer: -15, 1, 2, 398331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 less than or equal to -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 + 2*y**3\/3 + 3*y**2\/2 + 2*y. Let f be b(-2). Let g be 0 - f\/(0 + 1). Is 1 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:37 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*n**3 + 594*n**3 + 1329*n**3 + 3890*n**3)*(-3*n - 4*n + 5*n).\nAnswer: -11728*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.65 + -17. Let a = 15.35 + w. Let l = a + -15.0000015. What is l rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54784*p**2 + 20327*p wrt p.\nAnswer: 109568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18319 and 183600869.\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 1504993?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 14*c + 1. Calculate f(7).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 741063 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(275) - sqrt(275))*5)**2 - ((sqrt(3300) - sqrt(3300)*3)\/sqrt(3))**2)*1.\nAnswer: -4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 67 + 13*l - 29*l + 70.\nAnswer: -16*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3721656 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:17 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**7\/315 + 4*q**6\/135 - 29*q**5\/270 + 5*q**4\/27 - 4*q**3\/27 - 6*q**2. Suppose t(d) = 0. Calculate d.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2656 (base 11) in base 9?\nAnswer: -4652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 + 75*x - 75*x.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0509 or -11?\nAnswer: 0.0509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-6)\/(4\/2). Solve 0 = 4*z - 7 - n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 25. What is the units digit of (-84)\/(-5) - b\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*c**4 - 10540*c**3 + 5115550*c**2 wrt c.\nAnswer: 1152*c - 63240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 289 + 26 = 0. Suppose q = -j + 45. Let p be j\/(1 + 4) + 1. Solve -p*d + 16 - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347775 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5283 - -5348. What is the remainder when 132 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 + 151 + (0 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*b - 1348 - 1560, 4 = -2*b. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)\/((w\/((w**(-16)*w)\/w))\/w))\/(w**(1\/2)\/w)**(-41))**1 assuming w is positive.\nAnswer: w**(-361\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65073, -64999, -64883, -64731, -64549?\nAnswer: -64343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 3057*o**2 - 2 + 2986*o**2 + 11 + (2*o**3 - 2*o**3 - o**3)*(3 - 2 - 3) as v*o**3 + y*o**2 + k + g*o and give y.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275417 is divided by 908?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35)*2)\/sqrt(7) + sqrt(5) - (sqrt(20)\/sqrt(4) + -3))*-4)**2 + 2.\nAnswer: 192*sqrt(5) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 601\/12 - 99\/2. What is the common denominator of -57\/14 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6099072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/99 + (-75)\/(-275)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 611 - 581. Solve -28*t + 8 = -z*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41991 (base 10) in base 13?\nAnswer: -16161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4032289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -5.8. Let p = -6 - b. What is p rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**4 - 3*h**3 - 2*h + 2. Let w(r) = -r**4 + r**3 - r**2 + r - 1. Let l(n) = 2*w(n) + y(n). Factor l(t).\nAnswer: t**2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619964961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*v + 735*v + 943*v.\nAnswer: 1291*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(42)\/(-5*(sqrt(6) + sqrt(24))) + (-6*sqrt(14)\/sqrt(2) + sqrt(7) - (sqrt(21)\/sqrt(3) + 5))))**2.\nAnswer: 4732*sqrt(7)\/3 + 64051\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 50. Suppose -s*q + 1368 = 2*q. Suppose -3*f - q = -3*z, 2*f = 3*z - 30 - 86. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14271)\/(-4757))\/(9\/177).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 153212, 612293, 1377430, 2448623?\n\"Answer: 153028*c**2 - 3*c + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 20, -116, -414, -928, -1712, -2820?\nAnswer: -4306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1866, 2, -89 in decreasing order.\nAnswer: 1866, 2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -220209*a - 33449.\nAnswer: -220209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 27. Let u(k) = 30*k + 571. Let o(l) = -7*l - 136. Let j(c) = -9*o(c) - 2*u(c). Calculate 4*j(s) - 11*v(s).\nAnswer: s + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 10*m + 429*m**2 - 15*m.\nAnswer: 429*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -22. Let o be (-9)\/(-2) + k\/(-20). Let d(t) = 5*t - 3. Let n(p) be the second derivative of -p**3\/2 + p**2 - 17*p. Give o*d(x) + 7*n(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49217946, 98435892, 147653838?\n\"Answer: 49217946*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -822 divided by 137\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -0.5 (c) 0.1 (d) 3 (e) 104\/33 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-444)\/72 + 2\/12. Let q(a) = a**2 + 7*a + 4. Determine q(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4533, 9071, 13609, 18147, 22685?\nAnswer: 27223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1 + (-36)\/(1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 149.663272.\nAnswer: 49.663272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24 and 73\/149147568.\nAnswer: 149147568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11020121200012 (base 3) to base 5.\nAnswer: -1034143032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -4435.5\nAnswer: -8871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/21 and 38\/669.\nAnswer: 4683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - 2?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*24\/(-21204)*-9?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 8:26 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133332 is divided by 1296.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 527 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6206622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -27. Calculate the lowest common multiple of r and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10638370 - (3 - 2 - -2). Let d = -2538373 - j. Round d to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35396, 35404, 35414, 35420, 35416?\n\"Answer: -n**3 + 7*n**2 - 6*n + 35396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/f**(1\/8)*f))*(((f*f**8\/f)\/f)\/f)\/f)\/(f**(1\/2))**35 assuming f is positive.\nAnswer: f**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - v + 12*u + 7 = -5*v - 13, 18 = -v - 2*u for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e4dd - -44?\nAnswer: 4e521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1813830324 to the nearest integer?\nAnswer: 42589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14448, 28887, 43328, 57771?\n\"Answer: v**2 + 14436*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 12.9 (b) -0.04 (c) 4 (d) -0.1 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/4 + 8*j**3\/3 + j**2\/2 + 9*j - 1. What is the remainder when 50 is divided by d(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)*d**(-3\/4)*d*(d*d*d**(5\/3))\/(d*d*((d\/(d*d\/(((d\/d**(2\/13))\/d)\/d)))\/d)\/d) assuming d is positive.\nAnswer: d**(-145\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/7 - 10694*p**3\/7 + 1349120*p**2\/7 - 42061048*p\/7 = 0. What is p?\nAnswer: -5471, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -13\/6*f**3 + 8*f + 5*f**2 + 0. Differentiate l(c) wrt c.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*o + 232*o + 115 = -0*x - 5*x, 4*x = 4*o - 56 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2690 in descending order.\nAnswer: 2690, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + -3 - -17) + -28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(931)*1*4)**2*1*1.\nAnswer: 74480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 148*n**2. Let p(g) = -15*g. What is p(l(q))?\nAnswer: -2220*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30024*g + 27164*g + 60060 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 - 3*n + 3. Let i be l(3). Let u be (-16)\/24*i\/10. Which is the second biggest value? (a) u (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:30 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-21)\/510) - (-6)\/(-21) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6232, 11890, 17556, 23230, 28912, 34602?\nAnswer: 40300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-99)\/165 - (-1 + 4\/10). Solve 7*q - 12*q = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1007536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(-6*-1*sqrt(8)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/((-3)\/(-36))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.4 + -5. Let o(m) = m**2. Let k be o(0). What is the nearest to k in c, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -0*f. Suppose t - f = -5. Let c = t + 7. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 2*d = -7, 6 = 3*o - d. Let j be 3\/o*(0 - -1). Let w = -3 + 7. Sort 1, w, j in increasing order.\nAnswer: 1, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289 is divided by 100?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**19)**(-1\/36) assuming t is positive.\nAnswer: t**(-19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 75. Suppose 0 = t + 2*w - j, 0 = 5*t - w - 161 - 74. Suppose 3*a + 40 = z, z - 24 = -3*a + t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -996*l + 2. Let g(j) = j. Determine g(q(t)).\nAnswer: -996*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 3*a**2 + 3*a. Let j be g(-4). Factor -1 - 3 + 8*y**3 + 2*y + j*y**2 + 0 - 10*y**3.\nAnswer: -2*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10712933.4557 minus -0.15?\nAnswer: -10712933.3057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 287*c**4 - 129*c**2 - 2*c - 247 + 2*c + 284*c**4 - 573*c**4 wrt c.\nAnswer: -8*c**3 - 258*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10106895 is divided by 1825.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125882*c**2*m*s**3 + 129*c**2*s**3 + c**2*s + 2*c*s**2 - c*s + 2*m*s**3 + 2*m - 68*s**3 wrt m.\nAnswer: 125882*c**2*s**3 + 2*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/9438 and 12\/17303.\nAnswer: 103818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -674, 4, 1\/2 in increasing order.\nAnswer: -674, 1\/2, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 10 = -25*g. Suppose -4*v + 2206 = 2*k, -g*v - k + 2759 = -0*k. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(136) - sqrt(136)) + sqrt(136))\/(sqrt(72)*4).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -4)*(-12)\/18. Let z = k - 6. Let p(y) = y**2 + 3*y + 1. What is p(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (2 - 207)*1. Suppose 5*r = -3*b - p, 4*r + 9 - 281 = 4*b. What is b rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59693, -119366, -179061, -238790, -298565, -358398, -418301, -478286?\nAnswer: -538365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75.01983 years?\nAnswer: 900.23796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10636896 and 48?\nAnswer: 10636896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Let l(r) be the first derivative of r**4\/4 + 6*r**3 - 19*r**2\/2 - 4*r - 7. Let m be l(-19). What is the nearest to k in m, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624459 is divided by 156000?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcicbcciicciciivii. What is prob of sequence ciic?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 188*r = -516, 0 = n - 2*r + 259 - 290 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26220 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 20. Calculate the lowest common multiple of s and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 3*u + 2*u + 3 - u**2 + 0. Calculate a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:10 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15 - (9 - 15)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwuxnxiinfxwwwu. What is prob of picking 1 n and 2 f?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 - 18) - (-14 - -22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(114)*2 - sqrt(114))\/((sqrt(66)*2)\/sqrt(11)).\nAnswer: -11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 5*g**2 - 6*g + 3. Let p be s(6). Suppose -4*t + 15 = p*h - 2*t, 3*h - 9 = -4*t. Suppose 0 = 4*y - h - 9. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 83 - 89. Solve -4 = -o - x, 0 = 4*w + 3*o - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -99. Let w be (-2)\/4*(-5 + q)\/4. Let n be (-3)\/(-2 + w) - 5 - -66. Is 61 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31344, -125383, -282110, -501519, -783604?\nAnswer: -1128359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3\/u**(-9\/5)*u**(1\/12)\/(u*u\/u**(-17)) assuming u is positive.\nAnswer: u**(-847\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 9*p**2 - 181*p - 176. Let b be m(19). Put 5, b, -2, 0, -12840 in decreasing order.\nAnswer: 5, 0, -2, b, -12840","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127815?\nAnswer: 3, 5, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (180\/(-24) - -7)\/(670\/3980) - 8.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*y + 1. Let r(z) be the second derivative of 0*z**3 + z + 0 - z**2 + 0*z**y + 1\/10*z**5. Differentiate r(x) with respect to x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 10. Let y(l) = -6*l**3 - 5*l**2 - l + 15. Let g be y(-4). Let j = 329 - g. What is x(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/121 and -15\/4598?\nAnswer: 4598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -304, -302, -300, -298, -296, -294?\n\"Answer: 2*t - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -25 + -3 - 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 538, -2, -2166, 4, -3 in ascending order.\nAnswer: -2166, -5, -3, -2, 4, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136615 divided by 5?\nAnswer: 27323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 151*s - 1 - 3*s**2 + 143*s - 3. What is p(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -672 (b) -1 (c) 0.3 (d) -4\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 382.5414ml?\nAnswer: 0.3825414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, 4, 2, -3.\nAnswer: -19, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v. Let s(j) = -7*j. Let w(y) = 6*y. Suppose 4*p + 42 = 11*p. Let h(q) = p*w(q) + 5*s(q). Calculate c(h(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -106*q + 1235. What is m(12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 143 - -2?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 = -3*g. Does 3 divide g - ((-4)\/(-2) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6814260 and 8?\nAnswer: 13628520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 172191600 to the nearest one million.\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20786756 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*n + 691*n + 3333 = 11222 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6721 = -2*i, 0 = -4*w + i + 7588 + 1365. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24308866.1 rounded to the nearest one thousand?\nAnswer: -24309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {b: 3, m: 3, v: 3, t: 11}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40016144 and 88?\nAnswer: 440177584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52775069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 556549465 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6705 - 6707. Sort g, -1\/4, -0.6.\nAnswer: g, -0.6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1249\/6 - -479\/3. Let k = h - -877\/18. Which is the smallest value? (a) 1\/6 (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -866*k**2. Let q(n) = -25*n**2 - 85*n. Give q(t(b)).\nAnswer: -18748900*b**4 + 73610*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -45*t - 112. Let p(f) = -17*f - 42. Let r(h) = 8*p(h) - 3*x(h). Suppose 3*g + 2*g = 0. Let u(i) = g*i - 7*i - 3*i. Determine r(u(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-81)\/(-1))\/(-3))\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b - x = 4, -3*x + 15 = 0. Suppose -48 = -19*v + b*v. Solve v*p + 4*s = -31, 3*p - 2*s - 2 + 9 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 38 = 3*r, -r + 0*r = 2*c - 14. Suppose 8*h = 12*h - r. Suppose h*g - 4 - 8 = 0. Solve 0 = -5*t + 11 + g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362.606162 take away 202?\nAnswer: -564.606162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48766 divided by -24383.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 - 3*y - 5. Let w be u(4). Let p = w + 11. What is the highest common factor of p and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 48*m**2 - 22*m + 53. Let s be k(6). What is the highest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1283119 (base 10) to base 12\nAnswer: 51a667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6349*a - 10524 + 79128 - 7146 = -90918 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*73\nAnswer: 2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.251629ml in litres?\nAnswer: 0.005251629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(216))\/(-1*sqrt(288) - sqrt(288) - sqrt(8)))**2.\nAnswer: 243\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*r + 5 = 0, 4*c = 5*r - 30 + 43 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0.8. Which is the third smallest value? (a) v (b) 1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v**3 + 231*v + v**4 + 12*v**3 - 3742 + 3744 to the form d*v**4 + l*v**3 + m*v + t + x*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 55, 63, 75?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0.07, 0, 1, 0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + f + 1. Let n(l) = -l**2 - l - 1. Let k be n(0). Let t be b(k). What is the units digit of 64\/4 + (5 - t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose -5*k = -5*v + 65, -5*v = k - r*k - 65. What is the remainder when 25 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + -2 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a microgram in nanograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2295*r - 2*r**2 + 2335*r - 5396*r - 2*r**3 to the form k*r + d*r**2 + w + g*r**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from qbfyw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0+-473091\nAnswer: -473091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 6. Let d be i(8). Let x be (3*(-3)\/(-18))\/d. Is x != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19 and 24574363691132.\nAnswer: 24574363691131.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + 3 - (8 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13069, 11385, 9699, 8011, 6321?\n\"Answer: -g**2 - 1681*g + 14751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u - 15 = 2*m, u + 30 = -5*m. Let f = 370 - 372. Which is the closest to f? (a) -2\/7 (b) -1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.01 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsnnsmnnnsngmnn. What is prob of picking 1 s and 2 n?\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5912 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4249 + 148976\/35. Let g = h + -55\/7. Which is the closest to g? (a) 0.7 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*-2*3\/6. Suppose 2*g + 72 = x*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 9. Let u(p) = -24*p + b*p + 13*p + 11*p. Let s(c) = -2*c**2. Calculate u(s(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 6*k + 4. Let f be o(-4). Calculate the lowest common multiple of 1 and (-42)\/f - (-2)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140474788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30833 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630)\/336)\/((-1520)\/(-64)).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 310*i - 9. Let j(t) = 5*t. Calculate j(r(g)).\nAnswer: 1550*g - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d4a50 (base 14) to base 2.\nAnswer: 110000011101101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*r + 16, 4*r + 5*c = 6*r - 20. Let z = -38\/37 - -2709\/296. Let d = 5\/8 - z. Which is greater: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3680\/920*(-4)\/(-1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 24 = 27*x - 24. Solve x*p - 75 = -69 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w**2 + 4*w)*(-3*w**2 + 8*w**2 - w**2) - 2*w**4 + w**4 + 3*w**4.\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 2, 10.5, -226, 1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235*n**4 - 446.\nAnswer: 940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9369024 plus -15?\nAnswer: -9369039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/17 - 230*p**3\/17 - 6472*p**2\/17 - 12040*p\/17 = 0 for p.\nAnswer: -70, -43, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-2*3)\/(3*sqrt(45) - sqrt(45)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/120 + d**4\/8 + d**3\/3 - 295*d**2. Let u(c) = -c + 2. Let h be u(4). Give r(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1763, -3579, -5395, -7211, -9027, -10843?\n\"Answer: -1816*p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833186?\nAnswer: 2, 17, 23, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -68787.\nAnswer: 16\/68787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 76*p - 8602. Determine l(112).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5400*c + 5004*c + 4516*c + 12481*c = 1328080 for c.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36828, -36891, -36954, -37017, -37080, -37143?\nAnswer: -37206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4488023*r + 8976066*r - 4488047*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11413, 45870, 103297, 183694, 287061, 413398?\n\"Answer: 11485*t**2 + 2*t - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + t - 20, 4*b - 5*t - 98 = -118 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3770\/(-325) - (-1 + -11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20843865900 rounded to the nearest one million?\nAnswer: -20844000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/595 and -71\/7735.\nAnswer: 7735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -283945456.1 + 57.\nAnswer: -283945399.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112112 - -221?\nAnswer: 12120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 243*b**2 - 41*b + 2. Let a be l(-12). Suppose 2*g - a + 9144 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/(-273) + 1846\/91?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*c + 2, -12411*v + 5*c - 45 = -12411*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10469, -0.2, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/60 - w**4\/3 + 17*w**3\/6 + 936*w**2. Calculate r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*c**2 - 3 + 3 + 49*c**2 as y*c**2 + r + n*c and give y.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-160 - 197) + 230 - (0 - 1 - (-2 + 13))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + 12*r**2 - 2*r**2 - 9*r**2. Let o(u) = -6*u**2 - 5. Let n(i) = 7*i**2 + 6. Let h(k) = -5*n(k) - 6*o(k). Determine f(h(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrdrrrqrr. What is prob of sequence rq?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*y - 87*y + 688 = 53*y + 96*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -185306 divided by -1?\nAnswer: 185306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*r - 98*r + 20*r**2 + (0*r + 4*r - 2*r)*(-9*r - 3*r + 5*r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60264609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 2*l - 43 - l + 6*l**4 - 2*l**3 + 28 + 41 to the form r*l + b*l**3 + y*l**2 + x*l**4 + m and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -101498*s + 101525*s - 573 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2 + 24*a + 36 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -42?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(4*(sqrt(343) + sqrt(343)*-1) + (1*sqrt(343)*-1 - sqrt(343))))**2.\nAnswer: -43904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2929, -4, -3692 in increasing order.\nAnswer: -3692, -2929, -4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -7, -5, 63, -22\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + x**2 + 2. Let v be j(0). Suppose -a - v = -5. Let r(d) = 5*d**2 - 3*d + 6. What are the prime factors of r(a)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*g**2 - 32 + 184*g**2 + 118*g**2 as t*g**2 + p + u*g and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13910179?\nAnswer: 521, 26699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a**(-2)*a)**(-21) assuming a is positive.\nAnswer: a**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.02 - 1.22. What is the closest to -0.2 in p, -1, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2488\/5629 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9218126ml to litres.\nAnswer: 0.0009218126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.2 + -21.20000091. Round g to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g + 58. Let q(r) = -2135*r + 5*r**2 + 2135*r. Calculate j(q(o)).\nAnswer: 20*o**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) -2\/9 (c) 7\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fee when three letters picked without replacement from eefef.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + z - 1. Let c(i) = -14*i**3 - i + 5. Determine -c(s) - 5*t(s).\nAnswer: 9*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220012 (base 3) to base 7.\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 2, w: 1, g: 1}. Give prob of sequence rwr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109.712 - 6070.\nAnswer: -5960.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = 25. Suppose -3 = -3*v + y. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 1 + 5*r + 3*r**3 - 490*r**2 + 495*r**2 as v*r + b*r**2 + a*r**3 + o and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -162*z**3 - 6*z**2 - 6*z + 4. Let y be u(-4). What is y rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {l: 1, t: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 201045?\nAnswer: 201045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f + 0*f - 4 + 2. Is a(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342290445*x - x**3 + 342290445*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 1. Suppose 3*b + p = t*p + 10, -2*b = -5*p - 14. What is the greatest common divisor of 14 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/60 + 7*t**4\/24 + 7*t**3\/6 - t**2\/2 + 4*t. Let y(s) be the first derivative of c(s). Is y(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 55*z + 184. What is the thousands digit of k(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10931089173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2400) + 2*sqrt(2400) - sqrt(2400)) + sqrt(2400))\/(-4*-2*sqrt(300)).\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r**2 + 3*r - 1. Suppose 3*b = -5*y - 65, -2*y - 4 = -4*y. Let w = b - -46. What is the remainder when w is divided by g(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(475).\nAnswer: -9 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x + 150*x - 7 - 3 + 150*x.\nAnswer: 266*x - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2110102?\nAnswer: -2110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from ooooooddoooood?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/(-6))\/(9*(-2)\/(-351)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 16. Suppose -3*t + 3*q = 33, 0*t + t + 2*q = s. What is the units digit of (3 - t\/(-3)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49233, 394644, 1332411, 3158712, 6169725?\n\"Answer: 49363*v**3 - 130*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 707\/5. Let p = -0.9 + 0.77. Let i = p - -0.03. Which is the nearest to w? (a) i (b) 0.1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*u = -25, 7*h - 4*u = 4*h - 20. Let q be 13*87\/15 - 1. Let o = q + -74. Is o at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m - 78. Solve -3*f + m = -8*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67366, -134583, -201800, -269017, -336234, -403451?\n\"Answer: -67217*x - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:35 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36109 - -36117. Solve d = -2*h - 7*p + 3*p, -5*h + 16 = -2*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004753 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + w**3 + 4*w**3 + 0*w**3 + 4*w**3 - 2*w**3 - w**3 + 0*w**3 + 0*w**3 + (-2*w**2 - 1 + 1)*(0 + 0 + 3*w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10ac + d598?\nAnswer: 10666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-16))\/((-27)\/(-72)). Let l(x) = -x**2 - 8*x - 4. Let a be l(o). What is the greatest common factor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -217 - 14*v + 217 as o + z*v and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 - 35*n**4 - 354*n**3 - 832*n**2 - 512*n.\nAnswer: -n*(n + 1)*(n + 2)*(n + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -49, -121, -263, -499, -853, -1349, -2011?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 6*x**2 + x + 1. Let h(a) = 5*a**3 - 7*a**2 + a + 2. Give 2*h(q) - 3*w(q).\nAnswer: -5*q**3 + 4*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13950972 divided by -240534.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13387677.\nAnswer: 3, 1667, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -5.1. Let d = h - -7. Which is the closest to 2? (a) -2 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 8*t + 12. Let j be f(9). Suppose -2*a = -j*a. Let z be (-3)\/(-9)*(3 + a). Is 2\/17 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*c**2 + 1036\/5 + 176\/5*c.\nAnswer: 4*(c + 7)*(c + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 1. Let h(f) = f - 10. Let k be h(12). Let t be n(k). Suppose -4*i = z, -5*z - 2*i = -i. Solve -t*x + 4*x = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 7*p**3\/3 - 2*p**2 - 6*p - 2. Let n be t(-5). What is the highest common divisor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2*sqrt(88) - sqrt(88))*-4)\/(sqrt(800) - -2*((sqrt(800)*-1 - sqrt(800)) + sqrt(800) - sqrt(800))))**2*5*-1.\nAnswer: -176\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 308226*v + 308223.\nAnswer: 3*(v + 1)*(v + 102741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3096 + 9211. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -20. Is r smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*f**2\/3 + 269*f\/3 + 10\/3 = 0. Calculate f.\nAnswer: -5\/2, -2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 3*f + 7, -3*f + 19 = 526*y - 530*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 320\/18*89\/((-2492)\/(-126)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**2 - 54*u + 10. Calculate p(-8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 l when three letters picked without replacement from kkmliydd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 7*t + 2. Let l(m) = m**2 - 4*m - 1. Let a(d) = -7*l(d) - 4*o(d). Let n be a(2). Solve -n*x = -3*q - 3, -3*x = -2*x + q + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Let f = -8 + d. Is 3\/(f\/(-88)) - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.1, 6261882, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/21 and 47\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, -3 in ascending order.\nAnswer: -17, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -d - 1728 - 408, -4*j - 8604 = 4*d. Let o = d + 3289. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 355*n**2 + 2*n + 2. Let h be p(-1). Suppose -5*a - 5*k = -h, 2*a - 8*k - 150 = -12*k. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 1. Let t = 2 + 3. Let n = a - t. Are -5 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.6 + 19.642. Let m = 15168 - 15168.9183. Let g = w - m. What is g rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*s + 6, -6*l = -3*l + 6. Let x(w) = 130*w**s - 128*w**2 + w**3 + w**3. Let k(o) = -o**3. Calculate -k(j) + x(j).\nAnswer: 3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175469813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c5a42 (base 13) in base 8?\nAnswer: 10340126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1076, 4, -2, -5 in ascending order.\nAnswer: -1076, -7, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 - -33)\/(2\/1517). Let w = -24782 + c. Is w\/(-20) + (-4)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 1 - 26. Let s(r) = r**2 - 16. Let v be s(h). Suppose -14 = 7*m - v*m. Solve 4*j - 7 = f + 6, 0 = -f + 2*j - m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.92 + -0.22. Which is the biggest value? (a) f (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 - 2784*p**3 - 643098*p**2 + 1294560*p - 648675 = 0. What is p?\nAnswer: -465, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3657 = 4*y - 2*h, 4575 = 5*y - 5*h. Suppose y = 8*g - 362. Is -5 + g - (-7 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1277*q**4 - 66760*q**3 + 578961995 wrt q?\nAnswer: -5108*q**3 - 200280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose 0 = -5*l, 0*i - 5*l = s*i. Solve 3*y - 2*y - 2 = i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((140\/6)\/(-7))\/((-2)\/3). Let v(w) = w + 3. Let h(j) be the third derivative of j**4\/12 + 7*j**3\/6 + j**2. Give g*v(t) - 2*h(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74353.\nAnswer: 74353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 42 + -17 + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**4 + 952*q**3 - 1566*q**2 - 628*q = 0.\nAnswer: -1\/3, 0, 2, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 155 + 4*u - 155 in the form v*u + g and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 6. Let i(m) = 8*m**2 + 17. Let v(y) = -17*b(y) + 6*i(y). Let o(c) = 2*c. What is o(v(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-3)*1\/(-2)*3. Suppose 11*c - 450 = l*c. Let y = 84 - c. Calculate the highest common divisor of y and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552.6666 seconds to minutes.\nAnswer: 9.21111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -149.582930407.\nAnswer: -145.582930407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 877478415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**7\/u*u**(-9)\/u)**32*(u\/((u**6*u)\/u)*u*u**7)\/(u**(-5\/6)*u**(-2\/11)) assuming u is positive.\nAnswer: u**(-6071\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655404 divided by -827702?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1659029 + 5?\nAnswer: 1659034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 1972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:22 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5210, -5203, -5198, -5195, -5194, -5195, -5198?\nAnswer: -5203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 2*m. Let q be w(2). What is the units digit of 184\/3 - q\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9368*l = 9372*l + 7*x + 22, -2*l - 14 = 4*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60961\/6 - 10184. Find the common denominator of 50\/311 and s.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107589017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34549891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 9*j - 3. Suppose 4*l + 7*p - 4*p - 47 = 0, 0 = -5*l + 5*p + 15. Let g be v(l). Solve 0 = -g*f + f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 17. Suppose 0*z = z. Solve -3*g + o = -z*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - o - 3. Let y be w(-4). Let u = y + 67. Suppose -22 = -3*r + u. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-108))\/(5*-21*5\/(-135)*-3).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 + -186. Is t at least -2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2400267214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28608 and -1733777156.\nAnswer: -1733805764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 27*i**3 - 52*i**3 - 2 + 26*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -289*h - 278*h - 93 + 569*h as m + q*h and give m.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1\/2, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 4 - 5 - 17*a**3 + 1.\nAnswer: -17*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*q**3 - 20*q**3 - 7*q**2 - 1 - 23*q**3 to f*q + v*q**2 + i + z*q**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 240579307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + sqrt(72))**2 + -2 - sqrt(72)) + -3*(sqrt(72) + -4 + 2).\nAnswer: 306*sqrt(2) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*t - 180 = -0*b, -4*t = b - 36. Let q = 27 - b. Let w(d) = d + 7. Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (6 - 13) + 6 + 12\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -18148?\nAnswer: 18148.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -419.269+-6\nAnswer: -425.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 132 - 133 - (0 + 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179289610 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Let l(a) = -a - 159. Determine x(l(h)).\nAnswer: 2*h + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8006 bigger than 8006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.75206nm in millimeters?\nAnswer: 0.00003075206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3154 + -3090.05. Let q = r + -64. Let t = 5 - 4.6. Which is the closest to 1? (a) t (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 21\/(-6))\/(6\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(1 - 2 - 1)*(-1252*l + 4460 - 4460).\nAnswer: -2504*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 25. Suppose y + 9 = q. Calculate the lowest common multiple of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118211 by 9.\nAnswer: 118211\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123668898487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9696 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((150 - 150 + 43*r)*(10 + 7 - 62) + (0 + 2*r + 0)*(4 - 2 - 3))*(r**2 - 10 + 10)*(-2 + 2 + 2) to the form k + l*r + j*r**3 + x*r**2 and give j.\nAnswer: -3874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005207007645 to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -3 - -5) + 2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 1*16 + (-6 - (-50)\/10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006915 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 - 3545*x**2 - 3220000*x - 137812500 = 0. Calculate x.\nAnswer: -1750, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17721 + 621 = -450*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5 + 3. Let i = 6 + p. Let m be 1 + -1 + 850002 + i. What is m rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.5, 294, 4, -1\/4, -0.478?\nAnswer: -0.478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1449690 and 304072.\nAnswer: 1153953240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*h - y - 10, 62 = 2*h + 4*y. Calculate the greatest common divisor of h and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-150)*(-12)\/(-21)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -2) + -2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*t + 23*c**4 + 5*c**3*t + 10351*c**3 - 2352315*c**2*t + 3*c**2 wrt c.\nAnswer: 48*c*t + 552*c + 30*t + 62106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z + 60*z - 111*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369285, -1, 4, -12 in decreasing order.\nAnswer: 369285, 4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294493638?\nAnswer: 2, 3, 49082273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -183.5 * -0.18\nAnswer: 33.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156109499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 6687604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2015142?\nAnswer: 2015133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-12) - (-14)\/6. Suppose 0*m = -w*m - 4. Let q = m + 3. Solve -q = -o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/30*(1116\/(-396) - 8\/44). Which is the biggest value? (a) -4\/3 (b) -501 (c) -2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a micrometer in nanometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**4 - 15978*c + 18 + c**3 + 7994*c + 7983*c as m*c**4 + t*c**3 + f*c**2 + k + z*c and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus 158067586065?\nAnswer: -158067586064.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64337409 to the nearest integer?\nAnswer: 8021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -212011011102 (base 3) in base 16?\nAnswer: -6f440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/64*(-2 + (-3633)\/(-5)). Let d = -453 - o. Let b be 1 - 53\/(-102)*-2. Sort -0.2, 0.1, b, d.\nAnswer: -0.2, d, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 4, p: 1}. Give prob of picking 3 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4 = 3*c, 6*c - 8 = -y + c. Let v be (-1)\/y - 13\/(-2). What is the greatest common divisor of v and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*m + 21. Let u be 52\/12 - (m\/9 - 0). Solve -u + 0 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/33 + 76197500\/1650 - (-2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403753 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/25 of a tonne?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-13) + (-6 - (-45)\/39) and 85\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2\/2 - p + 1. Let z be a(5). Suppose 0 = z*i + 24 - 132. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3*(-63)\/(-1890)*55\/(-462)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1446 - -1500. Calculate the smallest common multiple of m and 33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u + 42. Let y(m) = -m - 2. Let q be y(-4). Suppose 2*v - 3*o - 86 = 0, 5*v - 3*o - 210 = q*o. Calculate the remainder when v is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 90*q - 76*q. Let d(y) = -248*y + 26. Let o(t) = 6*t - 1. Let j(r) = q*d(r) + 12*o(r). Differentiate j(w) wrt w.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + (1 + -2 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15d9473 + -3?\nAnswer: -15d9476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 184 - 20 = 0. Find the common denominator of 2\/(30\/57)*45\/y and 29\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - -4) + (6084\/78 - 48)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353807 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/46 and 179\/300.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*k*m**2 + 19777*k*m*x + 130*k*m + k*x - 237140*m**2*x + 3*x wrt m.\nAnswer: 250*k - 474280*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + 1 + 0 + -2 - (35572 + -35570).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13496.01 weeks?\nAnswer: 136039780.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14698a3 + 36?\nAnswer: -1469868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(4 - 1) - (-8474 + 586)?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*x + 327 + 202 + 721 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:06 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 3. Let h be z(-13). Let b(s) = -s**3 - 5*s**2 - s - 3. Let d be b(-5). Suppose -d*q + h = q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-3)))\/x**(1\/8))\/(x**6*x**(-4))*((x*(x*(x\/x**(2\/3))\/x)\/x)**14)**(2\/19) assuming x is positive.\nAnswer: x**(-2113\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 30*j**2 + 35*j + 9. Suppose -35*u = -42*u + 56. Is t(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.1538698, -2\/9, 6 in decreasing order.\nAnswer: 6, 0.1538698, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -42. Let x be (-1)\/v*-1*8\/(-3). Which is the nearest to -2? (a) 4 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) -2\/17 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2467708860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:05 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.46329 kilograms in milligrams?\nAnswer: 47463290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 0. Suppose -g + 3 = -o. Let h(r) = 16*r. Does 20 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 6. Let x = 14 + -10. Let b be w(x). What is the remainder when 20 is divided by (4\/(-12))\/(b\/(-66))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -6.3 (c) -5 (d) -1368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30340.64mg to tonnes.\nAnswer: 0.00003034064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3822 + 1271 + 1262 + 1291 + 32*c**2 - 6*c**2.\nAnswer: 26*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -997 = 10*p + 673. Let j = 175 + p. What is the smallest common multiple of j and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -77de9?\nAnswer: 77de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 878 - 875. Is 14 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 92?\nAnswer: -11\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274670491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.94 + -0.06. Let q = l - -22. What is the smallest value in q, 0, -0.04?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**3 + 17*w**2 + 15*w. Let z be k(-1). Which is the closest to z? (a) -0.4 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160015931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2500839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5957 is divided by 2946?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:19 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107 and 6.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01965 and 19288?\nAnswer: -379.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 32 = -8*o. Suppose -c = -q, 3*c + 2*c = 3*q + o. What is the third derivative of 0*g**4 - g**4 + 4*g**2 + g**q - g**6 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -192*i + 12. Let y be f(1). Calculate the least common multiple of 36 and 2\/(2*(-5)\/y).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 5 - 20*l + 7*l + 3 as d + q*l and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -0. Let l = -7 - o. Is l equal to 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(1\/22). Let n = -8 - c. Suppose -n*x = -6*x + 15. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 2*s - 1. Suppose 3*f = 3*w + 63, -5*f - 9*w = -11*w - 99. Suppose -3*k - f = -o, 21 = -3*k + 6. Does 2 divide i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1484 and 644268.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 9*w**2 + 3*w + 2. Let u(f) be the first derivative of -8\/3*f**3 + 1\/4*f**4 + f**2 - 4 + 2*f. Let y(l) = 5*b(l) - 6*u(l). Determine y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/24 + 4*r**3\/9 + 5*r**2\/3 + 8*r\/3 - 29. Factor c(f).\nAnswer: (f + 2)**2*(f + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4104 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 1\/5*g**5 + 0*g**2 + 0*g**4 + 3 + 1\/3*g**3 + 0*g. What is the third derivative of u(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 7. Suppose 0 = -4*f + h + 13. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/12 - 4*s**3\/3 + s**2 - 4*s. Let n be k(-8). What is the units digit of 0 + n - (-13 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 - 38*j\/11 + 84\/11.\nAnswer: -2*(j - 2)*(j + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 3. Let s(j) be the first derivative of 9*j**2\/2 - 12*j + 2. Let u(c) = 26*f(c) + 6*s(c). Let d(q) = 2*q + 7. Calculate -5*d(t) + 6*u(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2*23\/(-69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**5)*m\/(m*m**(5\/6)\/m*m)*m**(-1\/8)*m*m*m**(-5))**(-22) assuming m is positive.\nAnswer: m**(-275\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3512 - 3505. Solve -i + j = 6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-494)\/(-210) + 18\/(-63) and -5\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 7*i**2 + 12*i + 14. Determine d(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/210*-3)\/(1\/(-4))*-90.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u = 10, 0*g - 3*g - 2*u = 25. Let t = 7 + g. Suppose -l - z + 7 = 0, -l + 4*z - 20 = -3*l. Sort -4, t, l in decreasing order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 297 - 300 - 2*g - 302 + 1188 - 302.\nAnswer: -4*g - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 minus 5630.11?\nAnswer: -5682.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 g when three letters picked without replacement from {g: 2, i: 5, k: 1, a: 8, b: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441440.\nAnswer: 2, 5, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24525.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10547, 21056, 31565, 42074, 52583?\n\"Answer: 10509*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, l: 3}. What is prob of picking 3 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 16 = 0. Suppose 15 = 4*d + 5*q - 0*q, 30 = 5*d - 5*q. Suppose y - 5 = -n, 4*n + d*y + 0*y = 23. Solve n*v - 7*v - w = 21, s = -4*v - 3*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -136 + 136 + q. Let y(s) = 3*s. Let x(n) = 3*n. Let l(j) = 5*x(j) - 4*y(j). Give l(g(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-753)\/(-6) + 3\/6. Let j = y + -15. Suppose 2*m = -5*s + j, s + 72 = m - 2*s. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjdiimp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -36?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10706 - 1787. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9046 or -9047?\nAnswer: -9047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Let s(x) be the third derivative of -49*x**4\/24 + 34*x**2. Give q(s(o)).\nAnswer: 98*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 14*o**2 + 2*o + 34. Let u be q(-14). Suppose 0 = -u*j + 3*j + 12. Suppose j*b = 52 + 44. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 2. Let v(z) = -3 + 2 + 2. Let r = 7 - -9. Let p be (12\/r)\/(2\/8). Determine p*v(a) + k(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -28, -68, -126, -202, -296, -408?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 8*l - 6. Give u(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40.865, -5, 2 in ascending order.\nAnswer: -5, 2, 40.865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003309857523 to 6 dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33545352 to the power of 1\/2, to the nearest integer?\nAnswer: 5792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {u: 1, t: 2, o: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*u**3 + 0*u + 3*u**2 + 3*u + 19*u**3 - 8*u**3 to the form a + y*u**2 + z*u**3 + i*u and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from hhddddh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*a + 24. Suppose 116 = 3*r + 4*u, 5*r - 36 = a*r - 2*u. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16416\/35 - -469. Let x = d - 4\/105. Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -258, -1036, -2330, -4140, -6466, -9308?\n\"Answer: -258*i**2 - 4*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/4 - -9\/20. What is the nearest to -1 in 0.5, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 210701?\nAnswer: -210702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 + 1) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 12, -25*a + 4*b = -28*a + 37830. Does 60 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 4*j - 8. Suppose -127*v = -144*v + 102. Calculate y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a4 (base 14) in base 12?\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 + 3285*o**3 - 6401010*o**2 + 2433189020*o - 283230853800 = 0. Calculate o.\nAnswer: -1635, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 13. Let a be w(-6). Let t(j) = -13*j - 1. Calculate t(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(5*i**2 - 3*i**2 - 12*i**2).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -6, -19, -52, -111, -202, -331, -504?\n\"Answer: -i**3 - i**2 + 11*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 307 - 207.9. Let s = j - 99. Put -2, -0.3, 0.04, s in increasing order.\nAnswer: -2, -0.3, 0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 p when three letters picked without replacement from jtjxjxpxpspxmx.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2564302227.\nAnswer: 3, 854767409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1296*q**5 + 14130828*q**4 - 24725952*q**3 + 10596228*q**2 + 2093264*q - 1569840 = 0. Calculate q.\nAnswer: -1\/3, 2\/3, 3\/4, 32705\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (0 + 1 - 3). Let u(x) = -5*x. Let h(d) = 5 - 13 + 2 + 5 - 11*d. What is n*h(t) + 5*u(t)?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*b = -392*b - 336. Solve b*l = -3*t + 24, -8*l - 3*t = -13*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*m + 6, -2*w = 228*m - 223*m + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - h**2 - 2*h + 4. Give f(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(648) - (sqrt(648)*4 + sqrt(648))))\/((5*-2*sqrt(120))\/sqrt(12)).\nAnswer: sqrt(3)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10621*v + 1 + 42*v**2 + 10621*v.\nAnswer: 42*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79930 is divided by 79890.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 10*l - 10. Let m = -47 + 55. Let w be z(m). Suppose -w = -3*s, -4*h - 5*s = 8 + 10. Which is smaller: -51\/7 or h?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4966\/(-12415))\/((-8)\/(-4)*2\/142).\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5249\/46 (b) 3 (c) 8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*t - t. Let c be (t\/(-4))\/(18\/6). Put 4, c, -0.2 in ascending order.\nAnswer: c, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n)**(-24)*n**(-2)\/(n\/(n\/n**24)) assuming n is positive.\nAnswer: n**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17176 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:59 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -128\/19 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -44*w + 2591. What is the remainder when x(-40) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**3\/3 + 16. Let a(g) = g**2 - 1. Let q(x) = -1. Let m(p) = -a(p) + q(p). Calculate m(b(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 120 = 294. Suppose o = -3*j + 48. Let c be -60*(4 - j\/9). Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d, -p + 180 = 2*p - 2*d. Suppose -3*x + 9 = y, -2*x = y - 3*x - 5. Let q = p - y. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*l**3 - 10 wrt l.\nAnswer: 204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 23, -12, -8, -2.\nAnswer: -16, -12, -8, -2, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2225, -4443, -6661, -8879, -11097, -13315?\n\"Answer: -2218*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 33*x**3 + 117*x**2 + 147*x + 60.\nAnswer: 3*(x + 1)**2*(x + 4)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.184 to two dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 + 149075*x**4 - 24549990*x**3 + 983079470*x**2 + 2040405185*x + 1032626655 = 0.\nAnswer: -29979, -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 + 766*k**2 + 30544*k\/5 + 61024\/5.\nAnswer: 2*(k + 4)**2*(k + 1907)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2637378*r**4 + 241*r**2 - 10965*r?\nAnswer: 63297072*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 - 398 = -2*h - 3*c, 0 = 2*h + 5*c - 56 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9199.042 days to milliseconds.\nAnswer: 794797228800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 3. Suppose x = -x - 8, -4 = 3*i + x. Suppose 2*z + z + 2559991 = 4*y, -u*y + 3*z + 1919991 = i. Round y to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/11, -0.2, -15\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 9*w - 12. Let v be y(6). Find the second derivative of -1 + 74*h**3 + 2*h - 4 - 1 - v wrt h.\nAnswer: 444*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1026 and 121\/3040152.\nAnswer: 27361368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1660 + -2398. Let x = k - -737.999999286. Round x to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115050 - -1?\nAnswer: 115051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14*q - 3. Let o(c) = -27*c - 7. Let t(h) = -7*g(h) + 3*o(h). Let z(m) = -19*m + 2 - 2 + 21*m. Give z(t(k)).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*((-79772)\/(-703))\/98.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s - 16. Let x be d(2). Let v be 42\/8 + 3\/x. Solve -v = 11*q - 8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12551 - 12595 - (8 - 1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, 0.3, -33, 0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1902 - 1897. Solve -18 = 4*l - 2*r, -2*l + 4*l + s = 5*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2079709, -4159891, -6240073?\n\"Answer: -2080182*x + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, e: 1, w: 4, m: 6, l: 4}. Give prob of sequence wejj.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 + 37 = 4*s. Is 17 a factor of (s\/(-100))\/((-1)\/(-708))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*y - 30*y + 25*y**3)*(4 - y**2 - 4).\nAnswer: -25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 16\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63345854*k**2*w + 106*k*w + 197*k - 5*w - 35 wrt k?\nAnswer: -126691708*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9 - 8 + 2 - 2 + 23*d**2. Let x(q) = q**2. What is x(v(l))?\nAnswer: 529*l**4 + 46*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 6579*a + 224865. Determine m(-34).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 2. Let t(g) = -12*g**2 + 22. Let d(p) = -44*l(p) + 4*t(p). Let n(r) = 24*r + 1. Give n(d(w)).\nAnswer: -96*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197365431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -35804000 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 + 2*w - 3. Let h(t) = -16*t**3 - 36*t**2 - 4691*t - 18. Let a(o) = h(o) - 6*u(o). What is the second derivative of a(s) wrt s?\nAnswer: -132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -730.32 - -725. Let h = i + 5.22. Which is the nearest to -2? (a) -3 (b) h (c) -4 (d) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + g - 8*g + g - g - g + (217 + 256 - 63)*(-3*g + g + g) to the form r*g + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/7)\/(6\/6*9\/(-9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2597990, -2597995, -2598016, -2598059, -2598130, -2598235?\n\"Answer: -j**3 - 2*j**2 + 8*j - 2597995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - ((-7)\/(-21))\/((-2)\/(-18)). Let j = 0.8 + 2.2. Let o = 3 - 3.2. Which is the closest to o? (a) j (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 1110 = 24*s. Suppose 0 = s*o - 189*o + 2204. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 15. Let z = -7.05 - n. Let c = 16698 - 16700. What is the nearest to -2\/7 in 0, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 - 10397*u - 2 - 2 + 20853*u - 10456*u.\nAnswer: 10*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3*(-6)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -243550?\nAnswer: 730650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3448131 and 618.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27867669.4805 and 80.\nAnswer: -27867589.4805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 2 - sqrt(1377))*-2 - sqrt(1377))**2.\nAnswer: 72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.00509 rounded to one dp?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -1776*w**3 + 11459*w**2\/2 - 163*w. Differentiate t(x) wrt x.\nAnswer: -10656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -13. Let z(l) = 21*l + 11. What are the prime factors of z(t)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.639 and -0.4.\nAnswer: -4.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3820 and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115025488 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r + 5*k, 3*r - 4*r = k + 1. Suppose r = 5*h - 107 - 218. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23444977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n**3 + 29*n**3 + 8*n + 6*n.\nAnswer: -3*n**3 + 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(84\/(-1056)) - 9\/(-21). Solve -i*v - 72 = -37*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = -7*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (9 - -4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*v - 2 - 11, -v - 5*y = 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -81, -85 in increasing order.\nAnswer: -85, -81, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4*i - 40 + 6, 5*c + i = -31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-394)\/5 + (-2 - 28\/(-10)). Let h = g - -113. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 13, 161 in increasing order.\nAnswer: 5, 6, 13, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/6 - 19*k**2\/4 + 10*k - 1022. Solve z(t) = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -16*g - r - 210, 5*g + 3*r = 1042. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**2 + 5 + p**3 + 5 - 1. Let v be i(-12). What is the second derivative of 7*a**2 - a**2 + 11*a - v*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 8*f - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10906, 0, -5 in increasing order.\nAnswer: -5, 0, 10906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-55))\/(13\/1040*20)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 10*b - 6780. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4647*o - 5. Calculate m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/20 + (-42)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*f = -36, 169 = k - 4*f + 117 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(0 + -6)*(-161 - 115050\/(-715)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbbxbxmmmncxxxn. Give prob of sequence mcb.\nAnswer: 9\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 50*s + 185. Let j be l(4). Let f(w) be the second derivative of -w**3\/2 - w**2\/2 + w. Calculate f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 838 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 12*h - 22. Let z be g(-10). What is the common denominator of 97\/16 and z\/((-60)\/71) - (-14)\/42?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*x - 8*x = -36, 4*x = -3*l + 40. Suppose 4*q + 18 = 5*q. Let a be (q\/l + -2)*-4. Sort -2\/9, -0.1, a.\nAnswer: a, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*x + 4*q, 5*x - 48 = -5*q + 17. Let f be 129\/x + 2\/(-6). Solve h + 3*p - 18 = -2*h, f = -h + 4*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254464.\nAnswer: 2, 17, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2 - 1 - 4*k)*(92 - 363 - 945 - 681).\nAnswer: 3794*k - 1897","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5\/7 - 2*s**4\/7 - 18*s**3\/7 + 2*s**2 + 2*s - 12\/7 = 0. What is s?\nAnswer: -2, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 71. Suppose 0 = 5*r - s - 33, -9*s + n = 5*r - 5*s. Let g(m) = -m**2 - m + 6. What is the smallest common multiple of g(0) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {r: 2, u: 1, a: 6, x: 2, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7788 and 236?\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6 + 108\/8. Do 15 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1*u)**(11\/6))**(4\/11)\/((u*u*((u*u**1)\/u*u)\/u*u*u)**(34\/9)*(u\/(u**0\/u))**(-24)) assuming u is positive.\nAnswer: u**(280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55292 >= 952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59 or -3283?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 852 + -7666\/9. Let k = 0.07 - -0.43. Let y = -0.6 + k. Which is the nearest to 1\/4? (a) r (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 386175 and -1022?\nAnswer: 387197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1bf2?\nAnswer: -1bf7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4581 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 13. Let f(v) = 15*v + 1 + 59*v + 1. Is f(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-10) - -5)\/((-387)\/126 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6 - -4) + (11 - ((10 - 0) + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwm when three letters picked without replacement from {w: 2, m: 1, p: 1, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 6 - 6)*(z**2 - 2*z**3 - z**2 + (z - 3 + 3)*(-2*z**2 + 0 + 0)) - 100642*z + 100642*z + 943*z**4 - 293*z**4.\nAnswer: 638*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.85 + -0.85. Let s = -7 - p. Let r be (-2)\/(-8) - 10\/24. Sort 1\/7, r, s in descending order.\nAnswer: 1\/7, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 9:17 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91.23412 centuries?\nAnswer: 109480.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -127*((-4)\/(-2) + -3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/3, 26, -1151, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -7 + 0 - 1) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3393925 is divided by 199642?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*n + 3*n - 3*n)*(5 - 3 - 3) - 14*n - 3*n + 3*n)*(n - n - 3*n**2) as u*n**2 + d*n**3 + y + w*n and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-8))\/(48\/96).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 88326166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6522885, 13045767, 19568649, 26091531?\n\"Answer: 6522882*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15274.84l to millilitres.\nAnswer: 15274840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*t + 668*t = 22 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c - 28. Let u(d) = 35*d + d**2 + d - 28*d - 8. Give u(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da + -2?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/590835 and 62\/8085.\nAnswer: 45494295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/8 (b) -2\/5 (c) -1 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3463, 12532, 27647, 48808, 76015, 109268, 148567?\nAnswer: 193912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.8, -4, -74, -5, 0.1, 13 in decreasing order.\nAnswer: 13, 0.1, -4, -5, -25.8, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*g - 11, 2*k + 0*g - 4 = 2*g. Suppose -k*y + 936 = -0*y. Suppose -11*h + y = -8*h. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1250369.\nAnswer: -5\/1250369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 - (30 - -38) - 74.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 392161 or -0.176?\nAnswer: 392161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z - 156. Let n be b(-36). Calculate the highest common divisor of n and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 35*z**2 + 36*z - 20. Let a be x(11). Suppose 6*c = a + 2343. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1cbb4 (base 14) to base 9\nAnswer: -122032","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2*(-8 + 6). Is -4 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*g - 16, g + 4 + 0 = 2*c for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r. Let w(y) = -4*y**3 - 2*y**2 + 3*y. Let j(z) = -3*h(z) - w(z). Factor j(f).\nAnswer: f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 20?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 27 = -4*j, j - 13 = 2*m - 3. Suppose -3*q - 15 = -j*q. Suppose -q*h + r - 5 = -18, h = 3*r - 1. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 2\/3*k**3 + 0 + 0*k**2 + 91*k. Let f(l) = -4 - 18*l**2 + 15*l**2 + 4. Give o(f(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 12:52 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -3*u - 122. Let i(m) = -1 + m**2 - 4*m**2 + 3 + 10*m**3 - 9*m**u - 2*m**3 - m. What is i(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.0538273 and 0.1?\nAnswer: -1.80538273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + -10001111010110100?\nAnswer: -10001111001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 + 1001001111100100001111?\nAnswer: 1001001111100101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:41 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - (-38)\/6. Suppose 8 = -2*l + d*l. Factor -2*j + 4*j**3 + 0 + 0*j - l*j - 2 + 2*j**4.\nAnswer: 2*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-24)\/10)\/(347\/70 - 5). Solve 0 = -5*q - 26 + s for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:19 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 34818 = -15*r + 32944. Calculate the remainder when r is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/(-1*6\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -22, 7, 86, 233, 466?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 4, 2\/43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -66. Suppose -8*y = -f*y - t - 1892, 0 = -2*y + 3*t + 762. Suppose -12*m + y = 6*m. Does 22 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 559 + -303. Suppose -h + r = h. Let w be ((-2)\/(-4))\/(1\/h). What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 4 (b) 1\/5 (c) -2 (d) 3\/8 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + sqrt(26) + sqrt(26) + sqrt(130)\/(sqrt(10)\/sqrt(2)))\/(sqrt(10)\/sqrt(5)*-3))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -30 - (-16 - -39)) + -32?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(4*(-1)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -41*f**6\/6 + 85*f**3\/3 - 290*f - 199. Let b(o) be the first derivative of y(o). What is the second derivative of b(u) wrt u?\nAnswer: -2460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 12. Let w be j(5). Suppose -4*g + w - 14 = 0. Factor 4*o**2 + 1 - 5*o**g - 4*o - 5.\nAnswer: -(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -251, -567, -1009?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -100*h - 3002. Let f be c(-31). Solve -f = -25*d + 74*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + ((-1367)\/252 - -5). Which is smaller: 2\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 140?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.86 - -10.09. Let h = -3 + m. Let b = 0.27 + h. Put -1\/6, b, 0 in ascending order.\nAnswer: -1\/6, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 6:28 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 6. Let i be u(-6). Suppose i = 3*s - 2*s - 4. Suppose -s*l = 8, l - 16 = -y + 2*l. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p + 3. What are the prime factors of -1 + 4 + 273 - (p + 1)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4) + 3)\/(4\/8). Let d = -0.7 + 0.3. What is the third smallest value in -3, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175064\/2805 + 1879\/30. Let v = 20947\/10 - 2090. Calculate the common denominator of v and n.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 16) in base 7?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*l - 105 + 105 + (0 + 2*l + 0)*(0 + 3 - 4) + (-3*l + 2*l + 2*l)*(-2 + 3 + 1) - l + 0 + 0 + 2 + 3*l - 2 + 4 + 2*l - 4 + l - 2*l + 3*l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -5 (b) -1047\/28 (c) -0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/3, 9394, 0.5, -5, -2 in decreasing order.\nAnswer: 9394, 0.5, 1\/3, -1\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4746877599?\nAnswer: -4746877603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*m**2 + 43*m**2 + 7*m**3)*(-3*m**2 - 3*m**2 - 4*m**2).\nAnswer: -70*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6*c + m + 3 = 0, m + 3 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 16. Let z(b) = 4*b - 11. Let k be z(h). Suppose n = -k*n + 18. Solve 4*y = 3*j - 2, 5*y - n*j = 2*j - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14*q + 1. Let b(k) = 242 - 5*k + 687 - 929. Calculate 17*b(i) - 6*w(i).\nAnswer: -i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-975)\/44)\/((-399)\/152). Let k = -96\/11 + m. Let w be -1 - (3\/6 + -2). What is the nearest to k in 1, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334274.888 rounded to the nearest 10?\nAnswer: 334270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1814811 tonnes?\nAnswer: 181481.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12.054+640\nAnswer: 652.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768729 is divided by 36093?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-2 - -1) + -5 + -2 + 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222738107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -193 or -197?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35187010252 - -35187010407.00000101. Let z = -21474 + 21319. Let o = z + b. Round o to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**9*d)\/(d*d\/(d*d*d\/(d*d\/d**1)*d)*d))**(-1\/13)\/((d\/(d*d**(-2\/7)\/d))**(-47)*d**6\/(d**(-6)*d)) assuming d is positive.\nAnswer: d**(4547\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -70752 divided by 32?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4075130*d**3*h - 6970*d**2*h + 718*d**2 wrt d.\nAnswer: 24450780*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 8*i**2 - 9*i - 1. Let x be v(-9). Put x, 1, 3 in increasing order.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/117, -2, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384288443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -999.\nAnswer: -999.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + 1. Let t = 1.6 + -1.8. What is the biggest value in d, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 = -3. Suppose 4 = k + w. Let z(u) = -k*u + 4 - u + 0*u. Calculate z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3030 rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 6*v + 5. Let k be y(6). Suppose -34 + 154 = 3*s + 4*c, -s - k*c + 51 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 2*t + 5*t**3 - 4*t**3 + 5*t**3.\nAnswer: 12*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31149 is divided by 519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/56*-9*-49*(-119)\/(-2499)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687253 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/16 and -119\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190445 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 166 + -167 - (1 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 6*q**2 + 2*q**2 + (3 - 2 - 2)*(3*q + 0*q + 2*q)*(-3*q + 0*q + 2*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b + 784. Let m(i) = -15*i + 1571. Give -6*m(d) + 11*t(d).\nAnswer: 2*d - 802","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/68575 and 51\/533.\nAnswer: 2811575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7562018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 848698066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*v - 2*v - 12, -2*t + 5*v + 15 = 0. Which is the nearest to 0? (a) -2 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n**3 - 2*n**2 - n. Suppose -11 = -5*m - f, 5*m - f = 3*f + 31. Let j be 4\/(-3)*((-12)\/(-8) - m). Is y(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (14636\/10)\/(32 - (-3339)\/(-105))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 15. Let t(i) = -2*i + 7. Let v be (-56)\/10 - 6\/15. Let h(g) = g**3 - 5*g**2 + 2*g + 3. Let m be h(5). Determine m*t(w) + v*z(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -35*a**3\/6 - 6*a + 6. Let s(v) = -2*v. Determine d(s(w)).\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:38 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, k: 1, w: 3}. What is prob of picking 1 k and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2610602 (base 7) in base 12?\nAnswer: -144105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70495003 is divided by 1785.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 117 - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/255*18\/24.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256230 and 424.\nAnswer: 54320760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 2502548*f - 390494832.\nAnswer: 4*(f - 625793)*(f + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.1 (c) -5 (d) -5\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21251*l + 23590.\nAnswer: 21251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.15 (b) 14 (c) 0 (d) -21 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2997\/7 at least as big as -429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 2. Let m = -1068 + 1066. Let k(s) = 4*s + 1. Determine m*w(u) - 3*k(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + f**3 - 4*f + 5*f**3 + (3*f - 2*f + 0*f)*(0*f**2 + 3*f**2 - f**2).\nAnswer: 8*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 6:46 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*j + 2*h, -4*h + 1 = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + 2. Let l(y) = -y**2 + 6*y + 2. Let n be l(7). Let g(f) = 7*f - 3. Give n*i(q) - 3*g(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/4*45\/(-27)*5\/50.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10163878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a3 (base 13) to base 4.\nAnswer: -1030001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 184855, -3 in increasing order.\nAnswer: -3, -1, 2, 184855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 4, -28, -2, -204 in decreasing order.\nAnswer: 4, -2, -15, -28, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l + 2. Let p(w) = -113*w - 8. Let u(n) = 59*n + 4. Let q(a) = 4*p(a) + 7*u(a). Determine -13*k(j) - 6*q(j).\nAnswer: -26*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*z + y - 46, -84*y = 4*z - 173*y + 86*y + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 10, 5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 600, -204, 2\/11.\nAnswer: -204, 2\/11, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 + 331626*i**2\/5 + 132648*i.\nAnswer: 3*i*(i + 2)*(i + 110540)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -22023\/43006?\nAnswer: -22023\/43006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2782 and 919451?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 43 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1529314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -6, -18, -32, -48, -66?\n\"Answer: -b**2 - 7*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3280 and 11\/656000?\nAnswer: 656000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171517.245 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - 28218\/(-24) - 2\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Let a be 4*-4*2\/15. Let l = a - -9\/5. What is the biggest value in 2, h, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -23*u. Suppose 0*q - 3*q = -u*q. Solve b = -2*h, 5*b = -q*b + 5*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/60*(-35)\/294*9\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40114 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*r - 27 = -11*r, -3*r + 15 = 2*g. Solve -g*c - 2 = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -19*b. Let t(x) = x + 4. Let s(c) = -2*c - 9. Let i(q) = -4*s(q) - 9*t(q). What is p(i(l))?\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4114 = 4120 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a week in hours?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/2*4\/(-2). Let i = -45\/2 + s. Let q = 1.3 - 0.3. Does q = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*x + 4*s, 1807*s - 1808*s - 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-50)\/(-4))*-85. Let i = -16 + u. Suppose -5*c + i = 2*j, 5*c = 4*c - 5*j + 22. Solve -o = -c*m - 1, m - 3*o = -5*o + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 783, 1767, 3145, 4917, 7083, 9643?\nAnswer: 12597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/50*-5*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -93?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 + j**5\/12 - 5*j**4\/24 - j**3\/6 - j**2. Let s be 140\/(-24) + (7 - (-172)\/(-24)). Calculate f(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1552 by -2524.\nAnswer: 388\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -13) + (-2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y = -559 + 352 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*z**2 + 63*z**2 - 39*z**2)*(0*z - z - z).\nAnswer: -178*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2424, -36, 7 in decreasing order.\nAnswer: 2424, 7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)\/f*f**17 assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**5\/20 + n**4\/12 + n**3\/6 + 3*n**2 - 2*n. Is v(-3) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 0, 0.7 in ascending order.\nAnswer: -5, 0, 0.5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 5, 7, 7, 5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2044964.\nAnswer: 2, 17, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 21*f - 5. Calculate u(13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-1260))\/(2\/(-20)))\/((-10)\/(-12)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37481 - 11512. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057536 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 9. Suppose -10*l + 6*l = 24. Let u = l + v. Solve w = -0*w - u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19326?\nAnswer: 2, 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21057, -42094, -63119, -84126, -105109, -126062, -146979?\nAnswer: -167854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11757 rounded to 3 dps?\nAnswer: -1.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 5 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -27*d**2 - 2. Let u(b) = 7*b**2. Determine u(x(c)).\nAnswer: 5103*c**4 + 756*c**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -113816970, -227633939, -341450908, -455267877, -569084846, -682901815?\n\"Answer: -113816969*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*c**4 - 13*c**2 + 314?\nAnswer: -48*c**3 - 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 22*p - 48 = 0. Let u be 20\/16 + 18\/p. What is the nearest to -2 in -1, 6, -0.1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 250*s\/3 + 158004\/5.\nAnswer: -2*(s - 891)*(s + 266)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2235.74 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-4 + 1)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 4*g - 2012. What is the tens digit of (g\/8 + 6)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:36 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - (-603152)\/9724)*1\/(-3)\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 2*w**3\/3 - 6*w**2 + 23*w + 316. Let j(u) = -3*u - 3. Let b be j(-6). Is f(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1039\/10 + 104. Which is the closest to -1\/3? (a) -4 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -5 (c) -1.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five eighths of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/3)\/((-2)\/3). Suppose -5 = -4*s - k*q + 23, 0 = 3*q. What is the third derivative of -s*i**4 - 11*i**2 + 12*i**6 + 7*i**4 wrt i?\nAnswer: 1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 9, b: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1.883 (b) -0.1 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2498257 and -0.3.\nAnswer: -749477.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -20. Let j = -8.016 - i. Round j to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.274, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 23180\/399 + -13 + 2\/(-21)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -47. Which is the fourth smallest value? (a) i (b) -0.4 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49.2 - 0.2. Let p = 49.053 - h. Round p to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*b = -6, -3*n + 3*b - 1 = 7*b. Calculate the least common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmddtdmd. What is prob of picking 2 d and 1 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -5*z**4\/12 + 8*z**2 - 19*z. Differentiate d(r) wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116352*f**2 + 258946 - 1739*f**3 - 19011314 - 4091904*f - 4*f**4 + 567*f**3 + 1057648.\nAnswer: -4*(f + 5)*(f + 96)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 5*z + 2. Let r(x) = x**2 - 11*x - 3. Let l be (-819)\/(-279) - 14\/(-217). Determine l*r(s) + 5*q(s).\nAnswer: -2*s**2 - 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-18) + (-11)\/(-3). Suppose -4*m + 10 = -j*m. Suppose m = 5*p - 0. What is the least common multiple of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 7*i - 110. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 28. Solve 6 = x*c, -s + 4*c = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -133714c - 5?\nAnswer: -1337154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.028, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 832240138 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.5 + 12. Let o = c - 3.2. Let k = -6 - o. What is the nearest to 1\/9 in k, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = 3*s + 157. Calculate the greatest common divisor of s and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 - b + b)*(4 - 4 + 3*b**2) - b**4 - 10*b**4 + 2*b**4 - b**3 + 9*b**4 + b**3 in the form n*b**3 + h*b**4 + l*b**2 + s*b + o and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 0.2, 9, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356508*w**3 + 289903*w wrt w?\nAnswer: 2139048*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 - 6b054?\nAnswer: -6b0aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3 + 1 + 2 - 12 - 1287*h. Is o(-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51454653 + 12?\nAnswer: 51454665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-2 + -1 - -2 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x**3 - 6*x**2 + 872*x - 8. Let d(f) = -37*f**3 - 17*f**2 + 2616*f - 22. What is 6*d(w) - 17*i(w)?\nAnswer: -w**3 + 872*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/6 - (-38)\/12. Suppose 3*u - y*f - 44 = u, 0 = 3*u + f - 44. What is the remainder when u is divided by 1\/(-2) + 38\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 38*s + 492. Give a(41).\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309 divided by 64491.\nAnswer: 103\/21497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1031170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 53174?\nAnswer: 13\/53174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-60))\/(15\/9).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100220302 (base 4) to base 16.\nAnswer: 10a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.42 + 1.72. Suppose 0 = -g - 5*l - 10, g + 0*g - l + 4 = 0. Let v = 1 + -2. What is the third smallest value in w, v, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8632 and 6.\nAnswer: 25896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.0215 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.64 - -0.91. Let g = -6.73 - z. What is the second biggest value in g, 1, -0.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by 323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217.9 + 218. What is the nearest to r in -1\/2, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -943 - -943.2. Which is the second biggest value? (a) m (b) -6\/11 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3291, 26296, 88745, 210360, 410863, 709976?\nAnswer: 1127421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79195683, -79195682, -79195681?\n\"Answer: z - 79195684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5056623 and 1859?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, n: 7}. What is prob of sequence nwnw?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, n: 1, u: 2, h: 1, o: 1}. Give prob of picking 1 h, 1 m, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1 + 3 - 3). Let u = -3 - -5. Suppose 3*s - u - 1 = o. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/5 + 104*a**3\/5 - 1188*a**2\/5 - 104*a\/5 + 238 = 0. What is a?\nAnswer: -1, 1, 17, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 238810.\nAnswer: 1\/23881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1149a6 (base 15) to base 4.\nAnswer: 3021211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4\/25 (b) 76 (c) -1.109 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 190 or 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10 + 9*m**2 - 2*m**2 + 4 - 3*m. Let j(r) = -6*r**2 + 2*r + 5. Let b(a) = -a**2 - 3*a - 4. Let o be b(-3). Calculate o*u(w) - 5*j(w).\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(sqrt(3)*-2 + sqrt(3)))**2 + (sqrt(192) + sqrt(192) + 1 + sqrt(192) + 0)**2)*-5.\nAnswer: -8635 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {v: 3, t: 1, n: 1, a: 1, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13550022 and 78192?\nAnswer: 325200528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18390 is divided by 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 16996.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 154. Suppose -9*m = -y - 57. Suppose -3*v + 2*d = -m*v - 150794, -188515 = 5*v - 5*d. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 - 2*v + 5. Let u(q) = 3*q**2 + q - 2. Let p(w) = 4*d(w) + 9*u(w). Find f, given that p(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98536 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -37. Suppose v = -4*w + w + 4*x + 14, 5*w - x - 12 = 0. Let d(p) = 3*p**3 + 4*p**2 - 3*p - 1. Does 3 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 34567150?\nAnswer: 34567155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*x + 158*x = 11542 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1523*d - 1561.\nAnswer: -1523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -122, -137, -154?\n\"Answer: -w**2 - 10*w - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259341 and 439807?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101110100000 + 10010?\nAnswer: -10010101110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 2*a**2 + 90*a + 60. What is the remainder when 352 is divided by d(8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60993\/2 - 32264. Let w be (4 + -14)\/((-2)\/(-344)). Let b = w - c. Calculate the common denominator of b and 95\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1121 (base 4) to base 13\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s + 24. Let y be (-4)\/s - (-304)\/(-3). Round y to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -42, 597, 44 in ascending order.\nAnswer: -42, -2, 44, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 3*a + 4 - 4833*a**2 + a - 6 + 4*a**3 + 4823*a**2 in the form p*a**2 + i*a**4 + z*a**3 + x + b*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58387, -117950, -177513, -237076, -296639, -356202?\n\"Answer: -59563*m + 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/12 - g. Let l(s) = -s - 1. Let q be 11 - 2\/1 - (24 + (-308)\/22). Calculate q*l(y) + r(y).\nAnswer: -y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -3. Let r be (-8)\/(-36) + 2\/(-9). Suppose -b + t = -r*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus -99305784?\nAnswer: -99305798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -2, -13, 7, 1, -458 in ascending order.\nAnswer: -458, -13, -2, 1, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -12*a + 5. Sort 1, a, 24 in ascending order.\nAnswer: a, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 84187 + 7501 = 0. Suppose u = 5*d - 23852. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 10 + 57 + 5 = 96*m, -2*o + 4*m + 8 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgbx when four letters picked without replacement from bgxqgxc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fefptseeefefsss. What is prob of sequence pf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Suppose -m*l = -5*l + 12. Solve -7 = 3*a - i, -5*a - 32 = l*i + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 3 (c) -0.5 (d) -80 (e) 0.4 (f) 102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 128*i - 129*i + 18, 3*c + 6*i = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(196)\/sqrt(4))\/sqrt(7))**2 - -2*(sqrt(847)*-1 + sqrt(847)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1481\/237 - 204\/79. Is m less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1058 or 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29747*k**2 + 22*k - 22. Let p(f) = -9915*f**2 - 8*f + 8. Determine -11*p(z) - 4*s(z).\nAnswer: -9923*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 18 - 17)*(-3*o + 3*o + o)*(246 - 7*o - 255 - 17*o).\nAnswer: 504*o**2 + 189*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 88 + -99 - (-3 + 5 + -16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - ((6 - 3) + -7)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*c + 1226, -n - 2*c = -2*n - 248. Let a = -3174\/13 - n. Let j = 28659 - 28661. Put 5, j, a in ascending order.\nAnswer: j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + w + 16 = 0, -c = -9*w + 5*w - 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 4*q**2 + 2*q - 3. Let k be 2\/(-6) + 13\/3. Let u be n(k). Find r, given that 3*r**u - 5*r**5 - 1 + 1 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:48 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**3 + 11*a**2 + 6. Let v(y) = y**3 - 2*y**2 - 1. Let n(m) = 2*s(m) + 11*v(m). Let o(t) = 4*t**3 + 5. What is -10*n(j) + 2*o(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/1176 - 551*g**7\/735 + 7507*g**6\/42 + 114263*g**5\/105 + 229633*g**4\/84 + 76729*g**3\/21 - 450*g**2 - 7*g. Factor b(t).\nAnswer: 2*(t - 277)**2*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/16)\/(6*(-5)\/(-180)). Which is the nearest to -1\/4? (a) 0 (b) s (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49089957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 40*n**2 + 3*n + 10. Calculate the remainder when r(-2) is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/4800 and 79\/12.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 + 296 = -4*s + a, 5*s = 4*a - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(52) + -5.\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 b when three letters picked without replacement from {b: 1, l: 1, c: 1, e: 5, u: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 2. Let q(h) = h**2 - 12*h - 8. Let w be q(13). Give t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvuvvk. What is prob of picking 1 v, 1 u, and 1 k?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433758 by 3.\nAnswer: 144586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 7*j - 15*j + 70*j - 32*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10114691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - z - 3*z)*(0*z**2 + z**2 - 2*z**2) + 610*z**3 - 1421*z**3 + 703*z**3 to v*z**2 + o*z + i*z**3 + m and give i.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 29 + 93 = 4*k, -d = -k - 70. Let u = 125 - d. Suppose -4*o + u = 2*r, o = -0*r - 2*r + 16. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*c - 4 - 2 = 0, 4*a + 15 = c. Suppose z - 1 = -0. Suppose 2*t + 5 - z = 3*y, 4*t - y = -18. Put 4, a, t in decreasing order.\nAnswer: 4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -3 + (-72)\/(17 + -11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-19)*a)\/((a\/a**10)\/a))\/(a\/(a*a**3)*a)**(-1\/47))**37 assuming a is positive.\nAnswer: a**(-13986\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -32, -88, -178, -308?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -286*g - 290*g + 603*g + (-2*g - 1 + 1)*(0 - 2 + 1) - 3*g - 3*g + g + (-2 + 5 - 1)*(-3 + 2*g + 3).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 - 626332728*g + 24518292885245124 = 0.\nAnswer: 78291591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0 + 0)*(-2 + 5 + 0)*(8 - 8 + 11*f**3).\nAnswer: -66*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -478 + 1232 + 5584*d + 24840*d**2 - 338 + 1112*d**4 + 35964*d**3 - 4028*d**4 = 0.\nAnswer: -2\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 130, 193?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y. Let w(n) be the first derivative of y*n**3 - 1\/2*n**4 + 0*n - 1\/2*n**2 + 2. Find the second derivative of w(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2\/8 - 78*c + 26901\/8 = 0 for c.\nAnswer: 61, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*v**3 + 2 + 84*v**3 + 126*v**3 - 18*v**3 - 2*v**2 + (v + 0*v + 2*v)*(0*v**2 + v**2 + 0*v**2) - v**2 + v**2 - v**3.\nAnswer: 198*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 12*x**3 - 19*x**3 + 10*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 226*y + 107. Is n(49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3990\/980)\/(0 + 1*-3) and 2\/(-8) - (-266)\/88.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/30 and 43\/44346?\nAnswer: 221730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 119 - 193 - 15 + 2*h.\nAnswer: 2*h - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56161 + 10440 = 1262*f - 45431 - 35622 for f.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662200741?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a*a**(-6)))**(-29) assuming a is positive.\nAnswer: a**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, 1 y, and 1 u when four letters picked without replacement from {y: 4, b: 2, u: 3, t: 1, n: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c. Is w(4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/24 - j**3\/6 + 171*j**2 + 2. Let t be (-1 + 1)*1 - -1. Let y(x) = -8*x - 5. Calculate t*y(d) - 6*i(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 2*l - 290. Determine m(15).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:57 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1466349 and 67\/970.\nAnswer: 14663490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -25, -35, -45?\n\"Answer: -10*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-95)\/(-10)*14 - -2. Suppose -17*d + f = -12*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10620 and 85\/7704.\nAnswer: 2272680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.6 and 4529257.8.\nAnswer: 4529265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 53620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2082887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 23*r = -19*r + 1, 0 = -5*d + r - 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + -1)*9 - -1. Suppose -4*r - n = -2*l, 0 = -4*l + r + 198 - 6. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (4425\/(-135))\/5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7556 is divided by 252.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + -3*-1*sqrt(405) + 4*((2*sqrt(405) - sqrt(405)) + -1))**2 + -4.\nAnswer: -126*sqrt(5) + 19842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 295*h + 1105. Determine v(-5).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*(-4)\/32. Let v = -26.4 - -26. Let k = 22 + -21.5. Which is the closest to k? (a) -0.2 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, -7\/6, 1\/3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vej when three letters picked without replacement from avvnvevvveavvavvjvv.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 3154.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 146425416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n - 34 = 3*c, 0 = -6*c + 5*n + 82 - 36 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 0*g + g + g**2 + (-8 - 21*g + 8)*(-2*g + 5*g - 2*g) + 5*g**2 - 3 + 2*g**2 - 6*g**2.\nAnswer: -22*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c**(-9))\/c))\/(c\/(c*(c*c**(-3)\/c)\/c)))\/((c\/(c*c\/c**0*c))\/c*c**3*c))**(-11) assuming c is positive.\nAnswer: c**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 131 (b) 29 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8018 + -7793. Calculate the highest common factor of 405 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/1140 - f**5\/114 - f**4\/228 + 5*f**3\/57 + 3*f**2 - 15*f. Suppose l(z) = 0. Calculate z.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, 1, -2 in decreasing order.\nAnswer: 1, 0, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 3 in descending order.\nAnswer: 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(1680\/308))\/44\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 50 + 126 + 100)*(-145*a**2 - 9*a**2 - 22*a**2).\nAnswer: -39952*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65937646, 65937644, 65937642, 65937640?\n\"Answer: -2*x + 65937648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 11. Suppose -3*m - 4 = -z - 0*z, -3*m - 16 = -4*z. What is the remainder when i is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/14*(-8)\/(16\/(-5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -2*b, 0 = -t - 4 + 3. Let x be (0\/2)\/(7 + b). Suppose x = -p + 4*i + 49, -3 = -2*i + 5. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -135689, -542745, -1221171, -2170967, -3392133, -4884669, -6648575?\n\"Answer: -135685*l**2 - l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2657643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z**2 - 13*z. Let i(v) be the first derivative of v**3 + 2*v**2 - 1. Suppose -5*b = -2*c + 21, -8*c - 14 = -11*c + 4*b. Give c*l(u) - 7*i(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*u + 64*u = -2494 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26*6\/624)\/((-4)\/248*(-8)\/(-16)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Is 3*((-105)\/(-9) + s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208807484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-9)*(-2)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3105 divided by 45\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.8. Let p be (-9)\/(108\/(-80)) + (4 - 10). What is the closest to p in -4, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440078 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**6\/1260 - m**5\/35 - 15*m**2 + 29. Let p(f) be the second derivative of t(f). Factor p(y).\nAnswer: 2*y**2*(y - 18)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725298 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 23*r + 4*r + 61 - 10 + 6.\nAnswer: -19*r + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -95. Suppose -4*o + 185 - 53 = 0. What is the remainder when o is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -28. Suppose -840 = -n*l + 10*l. Suppose -7*h - d = -2*h - l, -5*h - 5*d = -400. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122907?\nAnswer: 3, 53, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 60. Suppose 7*j - 3*j = 0. Let p be a(j). What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6746216 to the nearest integer?\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-210)*-22)\/((-10)\/(-35))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0.7. Let g be (24\/(-2)*33\/(-297))\/(1 + 7). Which is the closest to -2? (a) g (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 + 14*v + 504. What is f(-10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r + 47*r + 25 - 140*r - 107*r.\nAnswer: -264*r + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) + (sqrt(336) - (sqrt(336)*-1 - sqrt(336))*6) + sqrt(336) + sqrt(336))\/((-1*sqrt(175) - sqrt(175))*-2).\nAnswer: 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35246 + 256421. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75898259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 6:18 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-16))**(-49) assuming v is positive.\nAnswer: v**784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) 10 (b) -6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = 450. Let v(a) = -a**3 - 12*a**2 + 10. Let o be v(-12). Calculate the highest common factor of o and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120322 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -761*c*s*z**2 + 57431*c*z**3 + 3*c + 37*s*z**3 + 6*s*z**2 wrt s?\nAnswer: -761*c*z**2 + 37*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92389, -92090, -91607, -90952, -90137?\n\"Answer: -2*n**3 + 104*n**2 + n - 92492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121968 and 4752.\nAnswer: 365904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 30. Let y(m) = -11. Let j(c) = -3*c + 23. Let s(k) = -4*j(k) - 9*y(k). Is s(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcc. What is prob of sequence qc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35385 - 432?\nAnswer: -35807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9708 or 32.64?\nAnswer: 9708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, -0.13, 2, -6, 0.4, 95 in descending order.\nAnswer: 95, 2, 0.4, -0.13, -0.17, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, 64, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024023848 rounded to 6 decimal places?\nAnswer: 0.002402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18 = 2*l + 13, -10 = -5*y - 5*l. Suppose -2*r + 4*o = 24, r + 2 = 2*r + y*o. Let z = -6 - r. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1441 = -3*s, -s + 248 = 5*p - 238. Let q be (7 - ((-423)\/(-36) + -5))\/(2\/104). Calculate the greatest common factor of q and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 101010100100000101011?\nAnswer: -101010100100000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y**5 - 573*y**4 + 2316*y**3 + 978*y**2 - 2334*y - 405 = 0. What is y?\nAnswer: -1, -1\/6, 1, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j. Determine k(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = -h - 5534, 0 = -3*p + 3*h + 4155. Does 84 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.65053 and 0.8.\nAnswer: 4.520424","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7291960.\nAnswer: 2, 5, 13, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*z - 65, -4*s - 4*z + 192 = -36. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 407 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 9:31 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66 + -78 - 9) + 8\/((-16)\/(-51)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*c + 14, -18*c + g = -21*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/1)\/(-12*(-6)\/72).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 8*i**2 - 10*i + 7. Does 14 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3240769\/6 = 540128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 7*k - 13. Let g be s(-9). Suppose 0*z = g*z + 60. Let m = 131 + z. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**3 + 112*f**3 - 44*f**3 - 40*f**3 + 4412*f.\nAnswer: -3*f**3 + 4412*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*n**3 + 190560*a**2*n**2 - 19*a**2*x + 120*a*n**3*x + n**3*x wrt x?\nAnswer: -19*a**2 + 120*a*n**3 + n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*y + 27, -3*y = d - 0*d - 14. What is the third derivative of -4*z**y + 4*z**2 + 0*z**2 + 2*z**2 + 0*z**2 wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -513442 and -187905971.\nAnswer: -188419413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 21. Let y be (-677)\/(-5) + 12\/i. Calculate the common denominator of y\/(-6)*(-3)\/5 and 3\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136172?\nAnswer: 2, 59, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53770*o**5*x - 2*o**2*x**2 - 60*o*x**2 - 779*o wrt o?\nAnswer: -1075400*o**3*x - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-44)\/(-8) - 4). Let q be (-60)\/(-18) + 4\/i. Find the third derivative of 2*d - 6*d - 11*d**q + 4*d - 22*d**2 wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35074801213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 2*s - s + 12)*(-s**3 - 2*s**3 + 0*s**3).\nAnswer: 9*s**4 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910.143 centuries in millennia?\nAnswer: 191.0143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021848 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -3*(2\/(-3))\/((-4)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + (6 - (10 - -3) - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27882.61ml?\nAnswer: 27.88261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.9874 + -23. Round z to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 5 (b) -5 (c) -0.3 (d) -151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65\/10*(0 + -2). Let j = -27\/2 - f. Let i = 12 - -20. Calculate the common denominator of i and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((2752\/430)\/16)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -30. Find the first derivative of 5 - 5 - o*f**2 + 5 - 2*f**2 wrt f.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224608269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198295, -396591, -594887?\nAnswer: -793183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 2 - (10 + 112 + -236)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 8250*u**5\/23 + 156746*u**4\/23 - 1163326*u**3\/23 + 1823814*u**2\/23 - 35908*u + 400\/23 = 0?\nAnswer: -25, 2\/4125, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -65*t**3 - 175*t**2 + 35*t + 175. Let a(s) = -9*s**3 - 25*s**2 + 5*s + 25. Let g(l) = -15*a(l) + 2*j(l). Find h such that g(h) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1010002011 (base 3) to base 2\nAnswer: 101010110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*z + 2*i + 7, 0 = -4*z + 4*i - 12. Let p(x) = 4*x**2 - 1 + 2*x - 2 + x**z - x**3. Suppose 3*y = 7 + 8. What is p(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987124345.\nAnswer: 5, 197424869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**8\/784 + 3*s**7\/245 - 3*s**6\/70 + s**5\/14 - 3*s**4\/56 - 33*s**2. Factor q(u).\nAnswer: -3*u*(u - 3)*(u - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**6\/360 - 5*t**3\/3 + 8. Let v(n) be the third derivative of h(n). Let j(u) = -11*u**2. Calculate v(j(q)).\nAnswer: 121*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 5 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*k - 14, 5*k + 6*g + 15 = g. Sort -0.3, k, -9\/7 in ascending order.\nAnswer: k, -9\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**8)*f\/(f*f\/(f*f\/f**(-2\/81))*f)*f)\/((f**(-14)\/f)\/f**(-18)))**(-20\/11) assuming f is positive.\nAnswer: f**(-740\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17477*k**3*o**3*q*y - 4*k**3*o*y + 64*k**2*o**2 + 3*k**2*o*q + 4*k*o*q + 5*o**3*y + 3*o**2 + 7*o*y wrt o?\nAnswer: -104862*k**3*q*y + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8458, -8336, -8224, -8128, -8054, -8008?\n\"Answer: -c**3 + c**2 + 126*c - 8584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c*t*v - 2*c*t + 2281*c*v + 5165878*c + 22*t*v - 6*v wrt v.\nAnswer: -6*c*t + 2281*c + 22*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.55 in 0.071, 189, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/((-10850)\/28140)*9\/54.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31052*k + 231911 - 231911 to the form z*k + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4, -4*g - 2 = -0*g - 5*s. Suppose 0*j + 2*p + 20 = g*j, 0 = p + 4. Suppose -12 + 3 = 3*u. Put -5, u, j in decreasing order.\nAnswer: j, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -3, 6, -0.03?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17740036 is divided by 8869970.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unnn when four letters picked without replacement from {u: 9, n: 11}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -5013?\nAnswer: 5012.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6910, 6851, 6792, 6733, 6674, 6615?\nAnswer: 6556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -2\/3, -49.0702133 in descending order.\nAnswer: -1\/8, -2\/3, -49.0702133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 299*k**4*x**2 - k**2*x**2 - 2*k - 336*x**2 wrt k.\nAnswer: 3588*k**2*x**2 - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 5, 0.5 in ascending order.\nAnswer: -4\/3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {d: 2, y: 1, e: 3, l: 4, c: 1, r: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(500)*1)**2 - sqrt(60)\/(sqrt(3) + sqrt(3)*2)))*-3.\nAnswer: -1488 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and (-40)\/(-50) - 938\/160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - h - 5*h + 2)*(-144 + 144 + 9*h).\nAnswer: -54*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -231, -186, -143, -102, -63?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8444?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -628 and -0.2653.\nAnswer: -628.2653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70861*p**2 - 60467*p**2 - 104157*p**2 - 65763*p**2.\nAnswer: -159526*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 118311*x**3 - 5*x**2 - x. Let f be b(6). Suppose 49960080 = -3*n + 11*n. Let h = n + f. Round h to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*l + 11*l - 3*l**2 + (-1 - 1 + 4)*(-2*l**2 + 4*l**2 + 3*l**2) + 2*l**2 - l**2 + 2*l**2 - l - 2*l**2 + l + (-4 - 2*l + 4)*(0*l + 0*l + 2*l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**7\/21 - p**5\/3 - 37*p**3\/3 - 38. Let w(l) be the third derivative of k(l). What is the second derivative of w(c) wrt c?\nAnswer: 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (184260\/(-1440) - -128) + (-1306)\/240\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876453 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(12)\/(sqrt(2) + sqrt(8)\/sqrt(4)) - (sqrt(6) - 1*(sqrt(6) - sqrt(18)\/sqrt(3))))\/(sqrt(21)\/(3*sqrt(42)\/sqrt(6)))*2)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 2, -0.9, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/(-28)*1\/2*7. Let b(m) = -m**2 + 4*m - 4. Let x be b(3). Let r = x + 6. Solve w*d = 5*t + 2*d - 5, -r*d = 4*t + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*u + 140 = -89*u. What is the common denominator of 85\/8 + (3 - 1) and (116\/u + (1 - 5))\/1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-12)\/(-273)))\/((-736)\/(-3128) - 25\/34).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 24*w + 2. Let c(u) = -4*u + 4. Let g(r) = -3*r + 3. Let x(v) = -4*c(v) + 5*g(v). Let i(a) = l(a) + 4*x(a). Is i(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*q - 77*q - 72*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3992 and 272.\nAnswer: 135728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (3 + -17) - (7 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2291332759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q - 178. Let p be t(-26). Sort p, 5, 4 in descending order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355863355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0921 times -3818?\nAnswer: -351.6378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - a8?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/(-42))\/(4\/(-42)*6). What is the fourth biggest value in 0, p, 3\/4, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.11, 0.3, -260, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000006258 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-5 - sqrt(21))*5)\/(sqrt(77)\/(sqrt(11)*3)).\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-81)\/135 + (-198)\/(-5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(0 - 24\/(-10)). Let d be (6\/(-4))\/1*-2. Solve d*k = 3 - o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/4 - 10481*v**2\/4 + 463057*v\/4 - 452575\/4 = 0?\nAnswer: -10525, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -127195419632763*s**3 - 635977254437679*s**2 - 781369368*s - 240.\nAnswer: -3*(s + 5)*(6511411*s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 20. Suppose f + u*r + 183 = 4*f, -5*r = -15. Suppose 3*g = -87 + 105. Calculate the greatest common factor of f and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-9))\/((-2576)\/40572).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4892*f + 4965*f = 2701 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:47 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.6 greater than 2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b + 114. Let u be a(-7). Suppose u*l + 1 = 4*f + 37, -l - 5*f - 3 = 0. Solve 8*w - 4*w = -l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:19 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2. Let y(u) = 346*u**2. Determine r(y(o)).\nAnswer: -838012*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 858629 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/6)\/(-1))\/(3\/27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -8, -4*q + 50 = -3*b - 128. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -3*u + 6*u - 2*i, 3*u - 4*i - 306 = 0. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3492312*c*v - 4476496*v wrt c?\nAnswer: 3492312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355 + 332 + h + 337 - 1355 + 331.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + sqrt(637)*-2 - (-2*sqrt(637) - sqrt(637))*2)*-1*-2 + -1)**2.\nAnswer: 1008*sqrt(13) + 40849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568805 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 22102 = 20*s + 6*i, -4*s = 3*i - 44132. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/22*(-8)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 2445.\nAnswer: 19560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 32*q = 2*c - 5, -4*c - 2*q = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13209 * 0.04469\nAnswer: -590.31021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 63 = 9*v + 15 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94, 182, 272, 364, 458, 554, 652?\n\"Answer: z**2 + 85*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(16*(28\/8 - 3)). Solve 3\/2*s**4 + 3*s**3 + g - 3\/2*s**2 - 3*s = 0 for s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x**7\/63 + 2*x**6\/3 + 27*x**5\/5 + 21*x**4 + 36*x**3 + 1254*x. Determine y, given that k(y) = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766707639?\nAnswer: 3, 8179, 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 222111?\nAnswer: -222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 - 5*g**2 + 5*g**2)*(-7*g - 10 + 2*g + 4*g).\nAnswer: 7*g**3 + 70*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.06 + 0.06. Let c be (6*-1)\/(-14 - (-96)\/8) + 2. Let g = 0.1 + -0.1. What is the third smallest value in c, v, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-30)*s**(1\/4)*s*(s\/(s**(-20)*s))\/(s*((s*(s**(3\/17)\/s*s)\/s)\/s)\/s*s))**47 assuming s is positive.\nAnswer: s**(-25333\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 p when three letters picked without replacement from {p: 2, l: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -108*v + 638. Is q(-5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5030, -5097, -5158, -5207, -5238, -5245?\nAnswer: -5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjps when four letters picked without replacement from {l: 4, p: 1, s: 2, j: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 101 from 13.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -1 - 2. Let x(m) = 0*m**f - 4*m**2 + 2 - 1 + 8*m - m**3 + 6. Give x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (18 - (5 + 11 + -69))) + -18.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110875815*g**3 + 5721674*g + 3 wrt g.\nAnswer: -665254890*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5590 divided by 2795?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -2\/9, -5, -0.04?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -s - 17, r = s + 1. Let l(z) = 3 + 8*z - 3 - r*z. Let a(i) = 3*i + 7. Let p(y) = -2*y - 5. Let u(g) = 5*a(g) + 7*p(g). What is u(l(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*u**4 - 2*u**4 - 5*u**4)*(2 + 0 - 5) - 1213*u + 1213*u - 51*u**4.\nAnswer: -93*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-102))\/((-8)\/(-12))*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-486)\/(-1026) - (-19)\/361.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 6\/7, 2\/5, -5, -1, 1056?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*6*(-8)\/(-24). Which is the fourth smallest value? (a) 0.5 (b) -7 (c) -22\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 8, -3 in descending order.\nAnswer: 8, 0.2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(27\/(-28674)*-18) - (-13)\/65.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423972, 424053, 424134?\nAnswer: 424215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/14*40\/6*7\/(-770)*-55?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -194? (a) -0.4 (b) -2\/93 (c) -2\/11 (d) -2\/13 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, -5, 2\/223?\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Suppose p*w - 24 = -2*w. Suppose -w*c + 26 = -4*c. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5220.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 82364*j**2 - 564064508*j - 1284506033092.\nAnswer: -4*(j + 6217)*(j + 7187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(0 - 4 + 2 + (2 + 0 + 0)*(1 + 3 - 2) + 3 + 2 - 6 - 2 + 4 - 1 - 1 + 1 + 2 - 16 + 24 + 19)*(-6 + 7 + 0*o - 40*o) to b*o + s and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3\/5, -2\/11, -7721, -755, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 29 = 352*j - 357*j, -j + 1 = 5*b. Sort 5, 159, -5, b.\nAnswer: -5, b, 5, 159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6464308*m**2 + 2*m - 20434863 wrt m.\nAnswer: -12928616*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3075)\/(-820))\/(6\/32))\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2571.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10185.974 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -451.00346 + 451. What is l rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 397 + -394. Let m = -8.33 + 2.33. What is the second smallest value in 0, m, f, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 294\/63 - (1 + 12\/(-9)). Solve 0*w = -g*w - 20, -c - 5*w - 23 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*q**3 - 55*a*q**2*w**2 - 3*a*q**2 - 2*a*w**2 - 2*q**3*w**2 + 12*q*w wrt w?\nAnswer: -110*a*q**2 - 4*a - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -16. Let i be 4\/10 - (-26)\/l. Differentiate -5*o**i - 1 + 4*o**3 - 2 + 4 wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/(-10))\/3*60\/(-24). Solve 5*j = j + p, 0 = -2*m - 4*j + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 39. Suppose c = 3*i - 10. Suppose -6 = -i*k + 4. Solve t = 2*p + 1, 0 = k*p - 2*t + 8 - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 8*o + 14 = 12*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001101000011 + -1?\nAnswer: -11110001101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 + -2498\/13. What is the biggest value in -1\/2, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -7*z**5\/5 - z**4\/2 + 348*z**3 - 424. What is the third derivative of f(r) wrt r?\nAnswer: -168*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 - -201. Calculate the common denominator of (a\/8 + 3)*3\/14 and 23\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297753497?\nAnswer: 297753497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311077657*p**2 + 311077633*p**2 + 7126 - 7126.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 - 481*o**2 - 4*o - 119. Let p(f) = -3*f**3 - 481*f**2 - 3*f - 117. Let u(n) = -3*j(n) + 4*p(n). Differentiate u(x) wrt x.\nAnswer: -9*x**2 - 962*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -9394.\nAnswer: -5\/9394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.13*-0.1.\nAnswer: -1.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*30\/9*8\/20. Let d be 4\/2*4\/2. Suppose 0*r - r = d*f - 3, -3*r - 5*f + 9 = 0. Solve 0 = u + r*u + j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -1\/6*z**4 - 8*z**2 + 1\/2*z**3 + 0 + 0*z. Find the first derivative of w(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkekkkkkkkkk. What is prob of sequence ekkk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 2*w - 2. Let t be n(-3). Let s be (0\/2)\/(t + 0). Suppose -2 = -m - s*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 20*l + 45. Calculate f(-6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f + 2*f + (-1 - 3 + 3)*(-2*f - 5 + 5) + f - 8*f - 2*f - 2*f - f + 2*f + 3*f - 3*f + f + (1 + 0 - 3)*(-5*f + 2*f + f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 843006 (base 10) to base 6\nAnswer: 30022450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-2 + -2)\/8. Let o(y) = 11*y - 8*y + 2*y**2 - y**2 + 0*y**n + 4. Let a be o(-3). Solve 0 = -c - a + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-5) - 444\/(-30). Solve -25*n + 21*n = -y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -21\/2, 5, 4, 1.6, -344, -1 in decreasing order.\nAnswer: 5, 4, 1.6, 1, -1, -21\/2, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 10*o - 39*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 994.3468 milligrams in kilograms?\nAnswer: 0.0009943468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**9*v)*v*v**5)**(-8\/7)*(v**2*v)**32\/(((v**(-3\/2)*v)\/v)\/(v*v\/(v*v\/(v\/v**2)*v))) assuming v is positive.\nAnswer: v**(1385\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 + m - 2. Determine x(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108 or 106?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 8*y - 8. Let u be (1\/2)\/((-7)\/(-70)). What is the units digit of m(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a + 75. Let z(d) = 16*d**2 + 156*d + 19. What is the remainder when z(-10) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i - 1. Let y be s(5). Let w be (3 - (-20)\/(-6))*-24. Suppose 0 = -y*t + 4 + w. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 25*o - 34. Let p be m(-22). What is the highest common factor of p and 336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101886250.9999977 - -101886271. Let q = -20 - 0. Let h = m + q. What is h rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - p = -3*j - 13, 4 = 4*p. Let x(w) = w - 2. Let g be x(j). Suppose -g*v = -3*v - 19. What is the greatest common divisor of 209 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 11*f**3 - 4*f**3 - 6 - 3*f. Let n(j) = 6*j**3 - 4*j - 5. Let r = 7 + -1. Let k(g) = r*n(g) - 5*c(g). Find the second derivative of k(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 4)\/(15 - 14). Suppose -b*x + 13 = -12. Solve d + 3 = c, -3*c = -c - x*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000094938552 rounded to 7 decimal places?\nAnswer: 0.0000949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1074 and 60144.\nAnswer: 60144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9 + 9 - 27*i. Let n(x) = -71*x + 80*x - 10*x. What is v(n(j))?\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-630)*9*(-160)\/24.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 9*b - 17061 = 13*b, 0 = -u + 5*b + 3387. What is the remainder when u is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 1 - 9)\/(-1). Suppose -3 = -m*g + 7*g. What is the third biggest value in 3\/7, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 12 = -2*z, 50 - 80 = -5*z - 2*c. Let s(j) = 2*j**2 - 10*j + 15. Give s(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 1 (c) 53\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46529 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 75 = -9*d. Suppose -d*g + 60 = -135. Let f = -18 + 29. What is the remainder when g is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151.3 + -151.5. Which is the smallest value? (a) h (b) 5\/6 (c) -0.3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-28 - ((-4 - 1) + (-47 - -47))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.8 + 29. Let k = 6 + -4. Let z = k - l. Sort z, 1\/2, 0.4.\nAnswer: z, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006166735 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -322, 3402, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2\/7*j**4 + 0 + 8\/7*j**2 - 2\/7*j**3 + 8\/7*j = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224496 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38796 - -46018. Calculate the highest common factor of g and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211 - 22?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l + 33. Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as 445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -9, 5, 76 in descending order.\nAnswer: 76, 9, 5, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 744878713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15961, -26282, -36603, -46924?\n\"Answer: -10321*j - 5640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.372 (b) -0.7 (c) 2\/7 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 20, 0 = 10*g - 15*g - 3*p. Suppose 3408 = 5*u + g*d, 4*u - 61*d = -65*d + 2728. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 11911187 - 3678073 = -15816586. Round v to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(-13)*o)\/o)*o*o**1 assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -119033.553 to the nearest 1000.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-11) - 61288\/3586\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 5*v - 21. What is u(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10000011010010000100 (base 2) to base 3\nAnswer: -1000022122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40.353425236 from 0.11378.\nAnswer: -40.239645236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 1. Suppose -4*c + 16 = -0. Let f(m) = 3 + 0*m - 1 - 2*m - 4 + 1. Calculate c*f(t) + 3*j(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 97 - 27 = -5*g, 0*y + g - 322 = 20*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2201180767 - -2201180756.00000041. Let f = -21 + 10. Let u = c - f. Round u to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*j + 1 - 3, -31 = -4*c + 3*j. Suppose 0*x + 2*x = c. Let t(s) = -4 - s**x + 4. Let k(p) = p**2. What is t(k(w))?\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 12119 = 5*i + 12135 - 24314, -3*k - 18 = -2*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 + 3*n - 2. Let y be k(2). Let t = 52 + -56. Let q be ((-28)\/y)\/((-1)\/t). Calculate the greatest common factor of q and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2120 + -3096. Let h = y + 1510. Suppose h = 7*p - 5129. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 70. Suppose -4*i = -5*c - l, i - 5*i + 3*c = -21. Let n be (-27)\/i*-11*1. Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100111101011001 (base 2) to base 11\nAnswer: 36976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4390 - 4054. Calculate the smallest common multiple of 294 and c.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/9 - 2*w - 16\/9 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 0*c - 7*c + 2*c**3 + 6*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8583 + 21838. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f + 5. Let s(l) = 462*l + 111. Let q(d) = -67*d - 16. Let m(z) = 30*q(z) + 4*s(z). Give -36*c(r) - 5*m(r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from ypsutzu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/14 - (-4)\/(-14). Let x = -0.3 + 0.6. What is the third biggest value in x, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -99 (b) -1\/2 (c) -33931\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -3*b. What is the third derivative of -5 - 5*a**b + 5 + 3*a**3 wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/495*-18*(-25)\/(-15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9911 + 611.\nAnswer: 10522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 12, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 11. Let d be s(-9). Let w(b) = b**3 - 2*b**2 + 3. Let g(c) = c**2 - c - 1. Give d*g(j) + w(j).\nAnswer: j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-20)\/((-28)\/7). Solve n = 4*s, -3*g + 5*s = 4*s + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466441 (base 7) to base 4.\nAnswer: 110133031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 16*h**2 - 39*h - 5. Let q be g(13). Let r be ((-5)\/6)\/(2\/(-8)) - 4. Which is the second biggest value? (a) -2\/11 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*x - 2*x + 1, 5*f - 5*x - 5 = 0. Are -14 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2 + -1 + 2. Let u be (-15)\/(-6) + 6 + -8. Is u > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/5 (c) -4 (d) 153 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.626236mg?\nAnswer: 1626236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/3 + 583*l**2\/3 - 83782*l\/3 = 0.\nAnswer: 0, 257, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -37.07. Let a = o + -0.07000003. Round a to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 4, f: 2, j: 3}. Give prob of picking 1 w, 1 s, and 2 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1333 divide 94396395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.42195 litres to millilitres.\nAnswer: 96421.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56778, 56717, 56658, 56601, 56546?\nAnswer: 56493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from xdaxdxaxsaaxdadd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -5*x**4\/12 - 33*x. Let w(s) = -5*s. Give w(y(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-9) - (-74)\/(-36))*4. Let k be (1\/(-2))\/(-11 - -12). Which is the nearest to -3\/4? (a) k (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16788941 + -51928941. What is j rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1257 (b) -23\/6 (c) 0.01 (d) -3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-10 + (11 - 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402485 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) -3\/13 (c) -14 (d) 4 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2316246236 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -32. Suppose -115*c = -112*c - 6. Let k = v + c. Is -5 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 67 (b) 0 (c) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:04 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-6 + 6 - 3*q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*c - 9 - 6, 0 = 4*l - 3*c - 21. Suppose l*y - 5918 = -y + 2*t, 0 = 2*t - 6. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -7 - (4 + (-12 - -5))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1. Let g(u) be the second derivative of 0 - 5*u + 3*u**2 + 1\/3*u**3. What is 6*d(n) - g(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 638222?\nAnswer: -63821d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -h. Suppose -1 = h*x - 9. Suppose -73 = -x*k - 13. What is the highest common factor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9248*k - 192*k**3 + 890*k**2 - 3746*k**2 + 3434 - 4*k**4 + 55522.\nAnswer: -4*(k - 3)*(k + 17)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 32 = 23*t. Let l = -17 + t. What are the prime factors of (-3 - -54) + l\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**2 - 23*t**5 + 8*t**5 - 8*t**2 + 12*t**2 wrt t?\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + b?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7621112582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 4, -2\/113, -5, -2?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33767 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 - (-124)\/4. Let y = f + -7. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1331 and 19348747.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1 + 3*z**2 + 5 + 1 + 2*z**2 - 1 + (z + 3*z - 2*z)*(0 + 2*z + 0) - 3*z**2 + 14*z**2 + 6*z**2 in the form u + b*z**2 + p*z and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -485*r**2 + 11*r - 44. Let q(y) = -97*y**2 + 2*y - 8. Let u(k) = -2*i(k) + 11*q(k). Let g(d) = -3*d. Calculate u(g(m)).\nAnswer: -873*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1774*g + 10. Let h(i) = -4438*i - 24. Determine -5*h(b) - 12*m(b).\nAnswer: 902*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 512 - 509.61. What is h rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36778\/123 greater than 298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 138246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -12, -30, -48, -66?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/6*(-1141)\/(-87857))\/(16\/3).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 6 (b) -4\/3 (c) 1.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 83 (b) 1\/2 (c) 0 (d) 4 (e) 9 (f) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**3*t - 15*g**3 + 2*g**2*t + t + 364 wrt g?\nAnswer: 9*g**2*t - 45*g**2 + 4*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 43936*c**2 - 127250420*c + 35748554600.\nAnswer: -4*(c - 5335)**2*(c - 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/21)\/(((-3)\/7)\/((-375)\/(-250)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -1061*k**4\/12 - 11*k**3\/6 + 12*k**2 - 550*k + 1. Find the second derivative of d(c) wrt c.\nAnswer: -2122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y. Let p(a) = -209*a - 21. Let n(b) = 628*b + 70. Let m(k) = -3*n(k) - 10*p(k). Determine v(m(l)).\nAnswer: -1854*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -49. Suppose 5*c - m*o + 2*o = 148, c + 5*o - 35 = 0. Suppose -70 = 25*y - c*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 10944 = -51*p - 8*p. What is the greatest common factor of 176 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4315753 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 39. Suppose 3 = -y - t*n + 13, 3*y - 36 = -3*n. What is the lowest common multiple of 4 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from bebg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 325.74, 0.05, 0 in decreasing order.\nAnswer: 325.74, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -2149, -4935, -8835?\nAnswer: -13849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 9. Let h(j) = 11*j - 11*j + k*j**2 - 13*j**2. Let w(o) = -o - 36. What is h(w(l))?\nAnswer: -l**2 - 72*l - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-6))\/((-25)\/1725). Calculate the highest common divisor of 3703 and o.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4943366g in tonnes?\nAnswer: 0.0000004943366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4524, -17808, -39964, -70992, -110892?\nAnswer: -159664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000346235 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 - 432*x + 586. What is g(64)?\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 11*y - 5. Let a(i) be the second derivative of i**3 - 3*i**2\/2 + 3*i. Calculate 7*a(g) - 4*l(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 39 = 5*d, -2*d - 10 = 2*b - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynnnyydpndpppffyy. What is prob of picking 1 p and 1 f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 3210 - 780 = 0. Calculate the remainder when 280 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -495, -987, -1477, -1965, -2451?\n\"Answer: g**2 - 495*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -1\/20*n**5 + 0*n**2 + 21*n + 0 - 1\/12*n**4 + 1\/2*n**3. Calculate o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p**2 + 57*p**2 + 56*p**2 - 3 - 160*p**2 + 315*p.\nAnswer: -p**2 + 315*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7488 and 1861938.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11.5, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 170*f - 3927. Give z(26).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4107260 (base 8) to base 6.\nAnswer: -35131344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10678429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 7:27 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z. Suppose -h - 2*n = -1, n + z*n = 0. Let d(p) = 4*p**3 - 2*p**2 + p. What is the units digit of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 513469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488853*-0.1.\nAnswer: -48885.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/5)\/(v*v**6\/v)*v**(-2\/17)*v**(1\/3) assuming v is positive.\nAnswer: v**(-1424\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 17*a = 13*a - 24, -5*h + 5*a + 35 = 0. Solve -q - 17*b = -20*b - 9, 2*q + b = h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 3*c)*(412*c + 227*c - 775*c) + 3*c - 2*c**2 - 3*c + 1 - 1 - 2*c**2 + (2*c - c - 3*c)*(-c + 0*c - c) + 2*c**2 + 3*c**2 - 4*c**2.\nAnswer: -271*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -4*y**6\/225 - 17*y**5\/300 - y**4\/60 + 4*y**3\/3 - 2*y**2 + 48. Let l(g) be the first derivative of j(g). Factor l(d).\nAnswer: -2*(d + 1)*(16*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92\/1593 - 169120\/2818017. Let y = -13836\/139751 + o. Does 0 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/(-308))\/((-46)\/13915*-5)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3867\/8 - 483. Sort -1\/4, y, -3, -9.\nAnswer: -9, -3, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8809, 16320, 23833, 31348, 38865, 46384?\n\"Answer: x**2 + 7508*x + 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 + 4\/5*m**3 - 4*m + 4\/5*m**4 - 12\/5*m**2.\nAnswer: 4*(m - 2)*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 46\/5*k**4 - 4036\/5*k**2 - 1252\/5*k**3 - 826*k - 2\/25*k**5 - 6962\/25 = 0. Calculate k.\nAnswer: -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 9. Let w(t) = t**3 - 12*t**2 + 7*t + 5. Let q be w(9). Let l = q + 167. Calculate f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -103, -101, -99, -97, -95, -93?\n\"Answer: 2*g - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 3 + (2219 - 2). Let x = k - -2428. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 4106 = 14798. Calculate the remainder when y is divided by 122.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1052 + -1156 + -26 + -1.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (5 - 12\/4). Suppose 45 = 5*s - u*s. Calculate the highest common divisor of s and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001815983259 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 75. Let x be (-540916)\/(-10) - (-6)\/g. Suppose 785908 = -2*p - x. What is p rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-5)*(-35)\/14. Let p be 3 - ((19 - 3) + b). Let f(c) = -c**3 - 10*c**2 + 10*c - 12. Let x be f(p). Put 2, x, -3 in increasing order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2999936 + 2.3. What is g rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -615, -1077, -1393, -1569, -1611, -1525, -1317, -993?\n\"Answer: -a**3 + 79*a**2 - 692*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5\/4 (b) -3 (c) 122 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51062699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*k - 4. Let b be 5*(1 + 6) + k. Is b\/((-2 - -8)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 35. Let y be (-2)\/((-1)\/(-2) - 1). Is 9 a factor of (2\/y)\/(u\/250)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1715, -146, 72, 4 in descending order.\nAnswer: 1715, 72, 4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 29*l**2 + 8 + 19 + 7 - 39.\nAnswer: 29*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -2*a - 3*b + 127, -4*a + 1427 = -5*b. Is 354 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2640738 + 304655. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -188. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-1)\/(1*(sqrt(10) - sqrt(160))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1319730, -2639447, -3959152, -5278839, -6598502, -7918135, -9237732?\nAnswer: -10557287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 5*j, 5*j - 20 = -5*n - 0*n. Is 7797\/n - (-6)\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352 (base 9) to base 13.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjxxjv. Give prob of sequence vj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 8*k - 9. Let x(n) = -5*n**2 + 12*n + 14. Let d(v) = 8*g(v) + 5*x(v). Give d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25990 or 25937?\nAnswer: 25937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2. Let a(m) = -24*m**2 - 12. Suppose -2*l + d = 3*l - 7, -d = 2*l. Let s(b) = -b**2 - 1. Let x(u) = l*a(u) - 12*s(u). Calculate x(i(g)).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 684724, 1369465, 2054216, 2738983, 3423772, 4108589, 4793440?\nAnswer: 5478331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9239631.31 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.6652366 and -0.01755?\nAnswer: 12.6827866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c + 3*s + 15, 3*c = -3*s + 9. Calculate the remainder when 72 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49460355.04 - 2\nAnswer: -49460357.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 - 132*q**3 - 222*q**2 + 36828*q + 233523 = 0. Calculate q.\nAnswer: -9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 7*a + 8. Let b be q(-6). Let l(c) = c + 3*c**2 - 3*c + b + 6*c. Calculate the remainder when 16 is divided by l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from eennwewn?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, -0.3, -2097, -323\/4?\nAnswer: -323\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12747 + 12748.9. What is the fifth smallest value in b, -3\/2, -8\/7, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - 226bb?\nAnswer: -226d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 21*w**2 - 1. Calculate z(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -882, -1906, -3338, -5178?\nAnswer: -7426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152727248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let d(w) be the first derivative of -17*w**3\/3 + 9. What is d(o(m))?\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 208433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/20 + t**4\/2 - 5*t**3\/6 + 2*t**2 - 3*t. Let f be r(3). Solve 4*z + f = 8*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 27, 86, 157, 240, 335?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (-1*sqrt(170) + sqrt(170))*-6 + sqrt(170))\/(sqrt(80)\/sqrt(2)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/6)\/g)**(-7\/5))**(2\/15) assuming g is positive.\nAnswer: g**(7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 12*d**2 + 199*d - 1332. Give i(7).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -144 + 7*i - 136 + 417 - 141 + 4*i. Let r = 8 + -2. What is the units digit of c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkkn when four letters picked without replacement from {k: 9, n: 9, v: 1}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2751648 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 0.01 (b) -3 (c) -4 (d) 125468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102415 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/3*21\/14. Let o = 49 + l. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 152*b + 432. Let o(p) = p**2 - 51*p + 144. Let g(z) = -8*o(z) + 3*t(z). Factor g(u).\nAnswer: 4*(u - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 3 - 5*-1. Let g be (-749)\/105 - -7 - n\/(-6). What is the third biggest value in -1, -5, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3646*p + 3649*p - 432 = 0. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = 6*s. Let a be ((1\/s)\/(-1))\/(161\/92). Solve 0*w + 2\/7 - a*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121 - 105413?\nAnswer: -105272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 665328 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9011.\nAnswer: 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 33236235.\nAnswer: -1\/6647247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r + 4*y + 7 = 0, 4*r - 5*y = 10. Let d be r + (-2)\/(-4)*-6. Suppose 5*v + 32 = d*g + v, -2*v + 8 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkej when four letters picked without replacement from {k: 1, w: 2, m: 3, j: 3, e: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -6a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1302\/(-140) + 6 - (7 + 2)\/(-3). What is the nearest to k in -2, 1\/6, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/a)\/(a*a**(-1\/21)) assuming a is positive.\nAnswer: a**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 12*l + 7. Let j be x(8). Let c be -388000*(j + 0) - 0. What is c rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1025?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -6.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 + 1689*m - 1689*m - 20*m**2.\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 13*m**2 - 40*m + 3. Let l be f(8). Solve -5*k - l = 5*o - 3*k, -2*k = -3*o + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 11 - 1 = 0. Let u(f) = f**2 - 3*f. Let v(q) = 2*q**2 - 7*q. Determine s*v(d) + 5*u(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 5*n**3 + 9*n**3 + 8*n**2 - 3*n**3 - 11*n**2.\nAnswer: 11*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-73*c**4 - 14*c**4 - 22*c**4) - 5*c**4 + 0*c**4 - 10*c**4.\nAnswer: -233*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 3*n**2 + 7841*n**3 + 15*n**2 - 19*n**2.\nAnswer: 7841*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**5*r + 6547*f**3*r**3 - 134*f**2*r**3 + 2*f**2*r + 76*f**2 - 5*f*r**3 wrt f.\nAnswer: -240*f**2*r + 39282*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22295137469\/4220388 - 5\/4220388. Let r = 5277 + d. What is the common denominator of r and -63\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73408839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5 - 47*j**4\/3 - 14*j**3 + 575*j**2\/3 - 24*j - 420 = 0. What is j?\nAnswer: -3, -3\/2, 2, 10\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -156399244, 2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {w: 2, y: 1, d: 1, c: 1, s: 1, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 2*v. Suppose -3*m - v = -13, 0 = -r - m + 14. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(2)*1 + -2.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 393040191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -248850.5 and -4.\nAnswer: 995402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 567 and 15.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -77, -126, -191, -278, -393, -542, -731?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/25 + 24488*b\/25 + 74957768\/25.\nAnswer: 2*(b + 6122)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)*v**(-5))\/(v**(-3\/5)\/(v**(1\/4)*v)))\/((v**(-1)*v*v)\/(v\/v**9)*(v*v*(v*v**(-2\/3)*v)\/v*v)**(-45)) assuming v is positive.\nAnswer: v**(8291\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005892057 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 142 + -134 + -4*1. Put 0, -4, d, -8 in descending order.\nAnswer: d, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t - 6 = 0. Let a(h) = 41*h - 2. Let b be a(t). Suppose -z - 4*o = -0*z - b, 3*z = -3*o + 345. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15818 times -737?\nAnswer: 11657866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -4. Suppose -b - n = -f + 126, -f = b - 133. Suppose 5 = y, 0 = -4*v - 4*y - 9 + f. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(1 - (-76)\/(-28)). Solve 4*s + i = -0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -41\/1396?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = l. Let d be ((-64)\/12)\/4*(-63)\/28. Find i, given that 349*i**2 + 1181*i**l + 675*i**d + 107*i + 24 + 265*i = 0.\nAnswer: -2, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57)\/21 - (2 + (-9 - -4)). Put g, 2\/5, -3 in ascending order.\nAnswer: -3, g, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -545 + -141. Let o = i + 593.1. Round o to 0 decimal places.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -57) + (0 - (9 + 76)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30348399 and 1119?\nAnswer: 30348399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, -2\/19, 0.2, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3171, -226, 2719, 5664, 8609?\n\"Answer: 2945*u - 6116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + l - l**4 + (12 - 12 + 8*l**2)*(58 + 69*l**2 - 58) to c*l**3 + v*l**4 + o*l + q*l**2 + t and give v.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 17 = -22, w = -a + 1754. Calculate the highest common divisor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(2\/7))\/f)*f**(3\/7))\/(f**(4\/5)*f**(-1\/12)) assuming f is positive.\nAnswer: f**(419\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/538 and 139\/12.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -307603*g*r + 921261*g + 758*r + 276 wrt r.\nAnswer: -307603*g + 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1266, 10037, 33720, 79725, 155462, 268341, 425772, 635165?\nAnswer: 903930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2)**(-1\/24))**(1\/10)*(((r*((r**(-2)\/r)\/r)\/r)\/r*r*r)\/(r\/r**6))\/(r**(-5)\/r*r**(2\/11)*r) assuming r is positive.\nAnswer: r**(18011\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z**2 - z**2. Let s(b) = 2*b. Calculate q(s(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 20. What is the units digit of 1\/((j\/(-485))\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39192160 and 19600.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 164580585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1306 or -1309?\nAnswer: -1309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8935057?\nAnswer: 109, 81973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -u - c + 16516, 0 = -2*u - 4*c + 33056. List the prime factors of u.\nAnswer: 2, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2\/3*r**3 + 0*r**2 - 1 + 0*r + 3\/4*r**4. Find the third derivative of o(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637169553.\nAnswer: 3, 47, 173, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2650*n - 190808. Give b(-72).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -10a98a35?\nAnswer: 10a98a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22924 - 22922. Suppose 1\/6*r**f + 0 + 7\/6*r = 0. Calculate r.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from atcjtjacyjyyjjttjcaj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 15 = -11*z. Let p = -1354 + 8095\/6. Calculate the common denominator of 18\/33 - 3\/z and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - (-7 + 17 + -3) - (-14 - -10)) + -8?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 22*h + 43. Let k be z(-20). Solve -s = 4*o + 8, -5*o + s - k = 4*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7. Let c(h) = -2*h + 10. Let k(t) = -2*c(t) + 3*z(t). Let j = -1 + 1. Let y(f) = f**3 + f - 2. Let q be y(j). Calculate k(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/10 + 4368955*g - 95438838960125\/2 = 0.\nAnswer: 21844775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/19)\/(-50*(-4)\/20))\/1\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3. Let b be z(3). Let k(m) = m**2 + 4*m - 3. Let t be k(-7). Calculate the highest common factor of b and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42590281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 1, y: 1, d: 2}. Give prob of sequence xyd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5*a - 9, -2*u - 202*a = -195*a + 33 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3 + 8*z**3 - 5*z**3 + 4*z**3 + 8*z**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 8:02 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/8 - 5289*u**2\/8 + 9324507*u\/8 - 1727. Factor j(v).\nAnswer: 3*(v - 1763)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 224 = 6*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 110, 430, 1058, 2096, 3646?\nAnswer: 5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let p(q) be the third derivative of 47*q**4\/24 - 7*q**2. What is l(p(v))?\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/15)\/(2\/(-5)). Let s = 21309 - 21309. Let u = -0.1 - -0.2. What is the closest to u in s, 0.5, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 - 13168*g\/9 - 1269010\/9 = 0. What is g?\nAnswer: -95, 6679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:09 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -31*t + 775. Let h be u(25). What is the closest to h in 1\/5, 4, -4\/9, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 38*m + 133. Calculate w(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*j - 353 = -1753, -4*w - j - j = -5*w + 3*j + 15 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvr when three letters picked without replacement from {r: 3, i: 1, f: 5, y: 4, v: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333.228 litres to millilitres.\nAnswer: 333228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12809 at least as big as 12810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + -12 - (0 + -1). Suppose -a*f - 325 = 311. Let w = 228 + f. Solve 4*g - w = 5*p - 29, -2*g = -2*p - 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 6 + 31 - 466*w + 16 + 467*w to the form n + a*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360065683.\nAnswer: 131, 2748593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/2 + 12\/28 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 9. Suppose -4*j = -3*v - v - 16, g = -3*j - 2*v. Solve j = -4*f + 20 - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 7, 25, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1283 - -1283. Let h = 0.09 - -0.01. Which is the closest to x? (a) -1\/4 (b) -0.084 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*f + 23 = -7*f, -5*r = -3*f - 25. Suppose r*n - 1 - 49 = 0. Solve -2*z = j - 0*j - 11, 0 = -5*z + n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuuqnquuquuuuukuunk. What is prob of picking 1 q and 1 n?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3269, 12888, 28913, 51338, 80157, 115364?\n\"Answer: -u**3 + 3209*u**2 - u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -124590 and -35.01.\nAnswer: -124625.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:23 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3121*o**3 - 2*o**2 - 16*o + 6. Let g(r) = 3122*r**3 + 4*r**2 + 25*r - 9. Calculate -2*g(z) - 3*n(z).\nAnswer: 3119*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 0, 0 = -4*t - 0*t - 5*i + 20. Solve -3*k - 2*b = -t*b, -4*b + 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-1 + 1 + 9. Let d(a) = -a + 17. What are the prime factors of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633518633.\nAnswer: 11, 4093, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Suppose -5*o - a*r + 73 = 0, -o = -0*r + r - 17. Suppose o = 2*z - 11. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1169183\nAnswer: 116918.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/40 + 7 - 0)*390 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*u - 3*w - 534, -550 = -5*u + 5*w. Let o be -1 - (2 + u\/(-34)). Is 0 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 1227325.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -492.8 in 1\/6, -2, -4\/49?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**2 + 250*j wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 1 = 46. Suppose i*v - 6*v + 10 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1553316?\nAnswer: -1\/776658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Suppose h*d - 18 = 2. What is the smallest common multiple of d and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 8, -4, 3, -29, -93 in decreasing order.\nAnswer: 8, 5, 3, -3, -4, -29, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 15 = -2*d, 3*d - 1 = -l. What is the greatest common factor of 50 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622512 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4910353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5357 + 5358. Suppose -10 = -4*q + 6. Let b be 0\/4 + (0 - -2). Put t, -2, q, b in increasing order.\nAnswer: -2, t, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 - 2. Sort -0.5, p, 0.3.\nAnswer: -0.5, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -956*a - 1841*a - 569*a - 213*a - 286*a in the form u*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-20*(-25)\/(-1800))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 6488143 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p + 4. Let h(a) = 3*a + 2. Let g be h(-2). Let t(q) = -8*q - 3. Let n(c) = g*v(c) - 5*t(c). Differentiate n(b) with respect to b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13390 + 13389. Let c(t) = 9*t**2 - 4*t + 1. Let k(g) = -10*g**2 + 5*g - 2. Let y(n) = 4*c(n) + 3*k(n). Determine y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 2*n = 90. Let v(m) = 14*m + 13. What is the hundreds digit of v(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 22. Let q be h(-10). Suppose -60 = -q*z + 24*z. Calculate the highest common divisor of 105 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/23)*g*g*g**(-2)*(g**(-3))**(2\/19))**(-41) assuming g is positive.\nAnswer: g**(4100\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - g**2. Let h be ((-15)\/20)\/((-4)\/16). Let s(l) = 2*l**3 - l**2. Give h*w(k) - 3*s(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g - 13. Let k be z(-3). Suppose -8*f = 15*f - k. Solve f = 3*y - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 26688*m + 5744207.\nAnswer: (m - 26471)*(m - 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -3, 29\/3, -2\/129 in ascending order.\nAnswer: -3, -2\/129, 0.04, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (3\/(-4) - (-88)\/32). Solve -6 = -v*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 4)*(-3*g**5 - 2*g**5 - 68*g**5).\nAnswer: -146*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmaamlmmqaammmqmqm. Give prob of picking 1 q and 1 m.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -31*n + 2941. Let j be h(95). Let q(i) = i**2 - 6*i - 4. Let t be q(-7). Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 310333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + (18 - 18). What is the nearest to -1\/2 in 0.4, 8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1322512 - 5?\nAnswer: -1322521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8 = -t + 10*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = o + 2 + 22, p = 4*o - 9. Put p, 5, -4 in descending order.\nAnswer: 5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -7)\/(3\/84). What is the highest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 43 - 5 = 4*c, n + 2*c - 15 = 0. Suppose -z + 22 = -4*u, -u + 4*u - 21 = -3*z. Let s = n - z. Solve a - s = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0384 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/14 - 6\/(-14). Let a(f) = -f**2 + f + 16. Let n be a(h). Let c be 86\/18 + 4\/18. Solve c*x - x = n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.96 and -1145?\nAnswer: 1147.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 - 4*o - 6. Let g(a) = a**2 - a - 1. Determine 6*g(b) - z(b).\nAnswer: -b**3 + 7*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 13*h**2 - 15*h + 188. Let c be j(-9). Sort c, 14, -83, -4 in descending order.\nAnswer: 14, c, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008812 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8))\/((-35)\/196*(-4627)\/2644).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -365, -727, -1089, -1451, -1813?\n\"Answer: -362*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -32*r**2 - 4*r + 11. Let g(m) = 8*m**2 + m - 3. Let v(d) = -2*d**2 + 28*d + 96. Let u be v(17). What is u*z(x) - 22*g(x)?\nAnswer: 16*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 = -w, 3*w = 2*y - 0*y + 16. Sort 0, 2, w in increasing order.\nAnswer: 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 3. Suppose -2*d = d. Suppose -3*m + d*m + 24 = 0. What is the remainder when m is divided by i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.088 + 6.748. Does 0.024 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360597 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/sqrt(6) + sqrt(5) + (sqrt(5) - ((-2*sqrt(320))**2 + sqrt(320))) + ((sqrt(15) - (sqrt(240) - (2*sqrt(240) - sqrt(240))))\/sqrt(3))**2.\nAnswer: -1275 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2654*x**3 + 671*x**2 + 1571 - 1571 - 671*x**2.\nAnswer: -2654*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 579 - 220. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23808 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 12*l**2 + 11*l - 14. What is c(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, -5, 228.\nAnswer: -132, -5, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z - 266*z + 315*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from lqc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7221412 to the nearest integer?\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0 = 2*n - 10, 3*d + 6 = -n. Let t(i) = n*i**2 + i**2 + 33 - 36. Determine t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t + 11. Determine n(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.9 - 3.7. Let r = x + -2.4. What is the nearest to 17 in r, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -11*i**7\/84 - 51*i**6\/20 - 513*i**5\/40 + 217*i**4\/24 + 49*i**3 - 11007*i. Suppose d(j) = 0. What is j?\nAnswer: -7, -1, 0, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:01 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 2. Let m(t) = 2*t - 1. Let j(r) = 5*m(r) - 2*o(r). Suppose -7*i + 9 = 2. Let w be j(i). Is w <= -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12676, 13020, 13406, 13834, 14304, 14816, 15370?\nAnswer: 15966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1652\/11 - -150. Let f = -1.695 + -0.405. Which is the biggest value? (a) 0 (b) -2\/5 (c) f (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-10))\/((-8)\/(-192)))\/(((-20592)\/(-165))\/(-24))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -148893118*n**2. Let d(t) = -2*t. Calculate d(a(q)).\nAnswer: 297786236*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 2001 + 997 + 1004.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.4 - 20. Let t = -15 + 15.23. Let z = t + -0.03. Which is the third smallest value? (a) z (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058220073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*m - 11, -7*i + 3*i = -3*m - 14. Solve -t - i = 2*a, 4*a - t + 1 = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12787, 25596, 38405, 51214, 64023?\n\"Answer: 12809*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14157202 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773217, 1546490, 2319789, 3093114, 3866465, 4639842, 5413245?\nAnswer: 6186674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1170\/12)\/15 - 9\/6. Solve -f = -5*u + 6*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:07 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 2*j + 2*j)*(-276*j**2 - 1 - 1 - 324*j**2 + 2).\nAnswer: -3000*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583551295 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*w + 1 = -15, -5*w = 10. Let o be -1 - (3 + d + 4). Let z = 4 - o. Solve 3*x + 0*x = c + z, 5*x - c - 14 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373 is divided by 142?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2238706, -8954841, -20148398, -35819371, -55967754, -80593541, -109696726, -143277303?\nAnswer: -181335266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 461.\nAnswer: 1\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-10))\/(3867\/6445).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**4 + m**2 + 1. Let l = -72 + 77. Suppose 6*a + l = 23. Let x(z) = -2*z**4 + 10*z**3 + 2*z**2 - 10*z - 3. Let h(u) = a*b(u) + x(u). Factor h(t).\nAnswer: -5*t*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 30 = -17*d. Let z be (-12*d\/12)\/(1*10). Do 1 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*s**2 - 37 + 60*s**2 - 3*s + 4*s + 50*s**2 in the form x*s**2 + m + f*s and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 72.91219 nanograms?\nAnswer: 0.00000000007291219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*t + 5*t + 22, 0 = 5*g + 2*t - 27. Let q be 5\/25 - (-19)\/g. Factor -2*a**3 + q*a + a**3 + 1 + a**2 - 5.\nAnswer: -(a - 2)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773905 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*d - 3*w, -350*w = -374*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4888*i**3 + 67610*i - 135220*i + 67610*i + 9250*i**3.\nAnswer: 14138*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10060324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*o - 38 = 0, 5*o = 5*n + o - 46. Let b = n - 23. Let f = -15 - b. Put f, -2, -7 in decreasing order.\nAnswer: f, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -118*x - 1491. Determine d(-11).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.2, 1\/7, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1071.8 - -857. Let a = k + 216. What is the closest to 1\/9 in a, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.0496, -5, 2\/1185 in ascending order.\nAnswer: -5, -0.3, 2\/1185, 0.0496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4004, -15932, -35798, -63596, -99320, -142964, -194522, -253988?\n\"Answer: m**3 - 3975*m**2 - 10*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -66*l + 65*l + 58, 4*l = 3*c + 106. Solve 0 = -5*r - 4*z + 29, 4*r = -0*r - 2*z + l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + 1. Let y(z) = -2*z**3 + z + 2. Suppose 0 = -3*k - 4 - 2. Let w(t) = k*g(t) + 2*y(t). Find x, given that w(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193205979?\nAnswer: 3, 2385259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 (base 6) in base 4?\nAnswer: 10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 2. Let z be k(0). Suppose -z*i + 21 = 5*h - 3, -4*i - 12 = 0. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166464049.\nAnswer: 166464049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -437, -1729, -3857, -6821, -10621, -15257?\n\"Answer: -418*p**2 - 38*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/4 + 965*t**4\/2 - 477*t**3 - 20275*t**2\/2 + 79109*t\/4 - 9645 = 0. Calculate t.\nAnswer: -5, 1, 4, 1929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2782247\/560190 + 1\/18673. Find the common denominator of z and -53\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-7 + 4) + 19. Suppose 4*u - 346 = 3*g, -2*g - 3*g + 10 = 0. What is the greatest common divisor of m and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -2*g + 8 = 3*c, -4*g - 2 = -0*g - 3*c. What is the lowest common multiple of (-2 - (0 - 3)) + g and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7361.312327 to the nearest one hundred.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s**2 + 36*s - 20 = 0. Calculate s.\nAnswer: -1, 5\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1148588.\nAnswer: -1148588, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 58553, -4, -2\/3?\nAnswer: 58553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d**2 + 12112*d - 60565. Determine v(5).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (4 - 1) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaacvavcavac. What is prob of picking 1 v and 1 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, -299, 2\/7, 0.1?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2 + 5*b + b**2 - 3 + 0*b. Let m be u(-6). Solve m*d - 9 = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3109, -3054, -3007, -2968, -2937?\nAnswer: -2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*b + 155, -134*b - 2*f - 31 = -135*b. Suppose -4*t + 856 = 4*c, 4*t - 853 = -0*c - c. What is the remainder when t is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1607, 3466, 5321, 7172, 9019, 10862, 12701?\nAnswer: 14536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/14 (b) 2 (c) -1\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2 - 7*c - 7. Let x(m) = -15*m - 12. Let k be x(-5). Let w = k + -70. Let f(u) = -7*u**2 - 6*u - 6. Determine w*f(j) + 6*g(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -590 - -595. Suppose -4*s + 14 + 19 = y, 2*y = 2*s + 16. Solve -y = -2*d - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/(-5) + 2\/5. Let s = n - 2. Solve s*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 - 2*x**5 + 3*x**5 + (x**3 + 0*x + 0*x)*(-4*x + 4*x - x**2) - 2*x**3 + 2*x**3 - 4*x**5)*(0 + 2 - 1).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 16512?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 49.77. Do b and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 235\/2*h**2 - 150*h + 93 - 5*h**3. Find s such that d(s) = 0.\nAnswer: 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.6. Let f be -11 + 235\/25 - -2. What is the nearest to -1 in m, f, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -7*l**3\/3 - l**2 - 9919*l. Let s(k) = -5*k - 1. What is 3*c(r) - 10*s(r)?\nAnswer: 8*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115250.\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.144 - -0.143998925. What is d rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 29*m**2 - m - 71. Determine b(-29).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/99244291 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 2\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 + 230*d + 4806. Calculate f(52).\nAnswer: -2162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*l - 89 + 376 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 32 = -131. Let c be 4 - 17\/((-17)\/62). What is the greatest common factor of c and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 5. Let f be -3*(3 + (-1)\/(1 - 0)). Calculate v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-6) + (-91)\/(-42). Solve 0 = b*w - 4*t - 15 - 3, 0 = 3*w - 3*t - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39.08462l?\nAnswer: 39084.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -11. Let l be 3 - 1 - (-32)\/q. Factor -l*o**2 + 2\/3 + 0*o.\nAnswer: -2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-1 + -43 + -10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd6 - -d?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -5*b + 4*n + 173165, 5*b - 4*n - 173130 = 0. What is b rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*5)\/sqrt(9).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -59, -2, -5, -279.\nAnswer: -279, -59, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 36*k**2 - 106*k - 110. Let o(x) = -x**3 - 36*x**2 - 105*x - 111. Let p(g) = -3*h(g) + 2*o(g). Factor p(y).\nAnswer: 4*(y + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310950 divided by -58?\nAnswer: 155475\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-15) - -1*(-1)\/3. Solve -11*x = -14*x + j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/15 + (-44)\/(-6). Suppose 0 = 13*q - a*q - 2934. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.06 - 20. What is k rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2451502 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(-1 + -5*(sqrt(2448)*2 + 4)) + 1)**2.\nAnswer: 5520*sqrt(17) + 245329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96187771, -96187777, -96187783, -96187789, -96187795?\n\"Answer: -6*a - 96187765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 102. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -39, 9, -5, -1, 11.\nAnswer: -39, -11, -5, -1, 4, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 a factor of 115119461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 88. Suppose 3*b = -w + 50 + 9, -2*w = b - 18. What is the remainder when h is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 35 + 7 = 2*o, 4*o + 4 = 0. What are the prime factors of 20\/(-50)*(1 + u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17814 - 35337 - 2*j**2 - 33*j + 17523.\nAnswer: -2*j**2 - 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2*(-14)\/(-48))*14. Does 18 divide ((-150)\/(-8))\/(45\/x + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/21 - 1345384\/(-7). Suppose 12 = 4*o, 3*u - 372183 = 2*u + 5*o. Let s = r - u. What is s rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 1212212102201202?\nAnswer: -1212212102201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1838178, 3676369, 5514558, 7352745, 9190930, 11029113?\n\"Answer: -d**2 + 1838194*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 120393?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from xzzzfzyzzzzzzfz?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8447306, -8447308, -8447310?\nAnswer: -8447312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k**2 + 71*k - 16. Let f = -563 + 549. Is 26 a factor of b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(78)\/sqrt(6) - (-1*(sqrt(468) + sqrt(13)) - sqrt(13))) + 3.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 7*o + 6. Let d(g) = 43*g**2 + g + 12*g + 6 - 42*g**2. Let a be d(-12). Let n be m(a). Solve n*t - 5 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-4 - -3) + -5 + (-6 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1744127 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2672*r**2 + 183*r + 184. Let a be t(-1). What is a rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 4190330*b - 87999135.\nAnswer: 5*(b - 838087)*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 163053450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -403*v - 452*v**2 + 187*v**2 - 435*v**3 + 26 - 3*v**5 + 1615*v**2 - 1217*v + 60*v**4 + 622 = 0. Calculate v.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 446793856?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000) + -1*sqrt(2000))\/(sqrt(50)\/(sqrt(5) + sqrt(5)*2) + sqrt(10)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186.07 + 185. Let m = 0.1 - -1.5. Let b = i + m. What is b rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/1287 and (-18130)\/(-169785)*2\/4.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-5*k + 2*k - 3*k + (-k - 1 + 1)*(-3 + 2 - 1)) + (k + 5*k - 5*k)*(-1 + 1 + 2).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbabbbwbabbbbaabb. Give prob of picking 4 a.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = r - 21, -l = -3*r - 5*l - 1. Suppose r*t - 210 = 255. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -59\/4*d**3 + 323\/2*d**2 + 414 - 561*d + 1\/4*d**4 = 0.\nAnswer: 1, 6, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/15 (b) 16 (c) 0.4 (d) 0.05 (e) -24 (f) 6.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0\/(-6) - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -126284?\nAnswer: -1\/31571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58841960 and 3408.\nAnswer: 353051760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 7*v**2 - 2*v + 1. Let s(g) = g**2 + g - 1. Let z(d) = -h(d) + 4*s(d). Let a be 3*4\/(-6)*-44. Let w = -93 + a. What is z(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-804)\/1474)\/(18\/(-44)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*y = -50, -4*r + 3*y + 139 = -61. Solve -33*c + 43*c + r = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 225\/(-2625)*(-20)\/132 - 9\/(-33). Let 22*y + 32\/7*y**2 + 28 + c*y**3 = 0. Calculate y.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:45 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 465 * 0.3.\nAnswer: 139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -91*a**3 + 6*a**2 + 11*a + 42. Let v(m) = -18*m**3 + m**2 + 2*m + 8. Let o(x) = 11*v(x) - 2*w(x). What is the third derivative of o(j) wrt j?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*w = 331 - 121, 0 = 7*l + w - 507. Solve -5 = 67*z - l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -269*g**3 + 15*g**2 + 9*g + 28. Let w be p(23). Let m = -1955247 + w. Round m to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220120231 (base 4) in base 11?\nAnswer: -103313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5*m + 1 = 0, -17*r + 28355*m - 28354*m = -71 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11726*g + 5857*g - 28*g**3 + 5869*g - 2.\nAnswer: -28*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.079, 0.4, 2, 14, 5, -1, 1218?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/(38\/(-8)). Let h be (-5 - -6) + 2 + -4. Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -56*p**2 - 21*p - 17. Let q(o) = -14*o**2 - 5*o - 4. Let u be (-847)\/33 - (-1)\/(-3). Let i(y) = u*q(y) + 6*n(y). What is the units digit of i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163218\/17 > -9600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.00710452 - -0.2.\nAnswer: 49.20710452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 15 = -2*z. Let t(o) = -o**3 - 7*o**2 + 6*o + 11. Let a be t(-8). Suppose -3 - a = -z*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1160100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 78 + 396. Suppose 0*p - 3*p + z = 2*g, -3*p - 5*g = -170. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 39 + 34 - 85)*(1 + 4 - 2 + 2*i).\nAnswer: -6*i**2 - 33*i - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55502 + 1832*x - 55502 to the form l*x + b and give l.\nAnswer: 1832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 0, 5*c - 423 = -4*s + 92. Suppose -p = -0*p - s. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3.2 (b) -8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-33)\/1045*((-270)\/9)\/6.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 - 150643580*n = 0. What is n?\nAnswer: -30128716, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 23*u + 0 + 1 - 30*u. Let b be z(-1). Solve -l + b = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 62 + 1750562*u.\nAnswer: 1750562*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10616050 and 2410.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose 35*g - 74*g + 98 = -19. Solve 0 = -a*z - g*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.04914 + -0.04914. Which is the nearest to -0.3? (a) -1 (b) 1 (c) 0.3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11505\/9)\/((-4)\/(-12)).\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2)*z))**(-22)\/(z**(-2)\/(z\/(z\/((z*z**4)\/z)))))\/(z**(1\/3)\/((z**(-1\/6)*z*z)\/z))**(19\/3) assuming z is positive.\nAnswer: z**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 3*m**2 - 6*m - 6. Let y be h(-4). Let l be 1202*y*(-11)\/22. Let s = l - -19243\/16. What is the common denominator of s and 31\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41576 or 41602?\nAnswer: 41602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1429094, 1429092, 1429090, 1429088, 1429086, 1429084?\nAnswer: 1429082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 303. Let h(l) = 216. Let y(g) = 5*f(g) - 7*h(g). Let z(x) = -x + 6. Give -5*y(i) + 2*z(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28322349 is divided by 219553.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15882)\/23823*(-114)\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*j = 2*j, j = 5*p + 14. Let v = 1 - 1. Let n = 0.3 + v. Which is the second smallest value? (a) -1\/2 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 42029*c. Let f(u) = -19*u**2. What is z(f(i))?\nAnswer: -361*i**4 + 798551*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1. Let r be j(1). Suppose -b = -n, -5*b = -1 - 14. Suppose -4*c + 0*u = -n*u - 20, -2*c - 16 = 5*u. Solve 4 = r*s - c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/7 - 3*w**2\/7 + 60*w\/7.\nAnswer: -3*w*(w - 4)*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 82409041.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -60. Suppose f = 6*y - 989 + 65. Let x be (-2)\/y - 10\/35*-1. Which is the smallest value? (a) 2 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaazzazzkakzzzazz. What is prob of sequence azk?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.46 + -35.46. What is the nearest to n in 1\/4, 0.16, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 1, z: 1, b: 2}. Give prob of picking 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1760.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 8.861\nAnswer: -62.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 0, 4*u + z = -z + 4. Let s(x) = -2*x**3 + x**2 - x. Let p be s(1). Put 4, p, u in descending order.\nAnswer: 4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 24. Let s be m(-29). What is the hundreds digit of -3 - (-9648)\/8 - s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 272414, 544815, 817214, 1089611, 1362006, 1634399?\n\"Answer: -x**2 + 272404*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + -119. Let p = 1706 + d. What is p rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-4 + (-40 - -28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8675848*y**3 - 2*y**2 - 4509666 wrt y.\nAnswer: 52055088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 28. Let h = -20.5 - x. Let g = 0.39 - 0.09. What is the second biggest value in -5, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8633321 and 14120?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7 = h, -22 = -2*h + 4*h - 5*d. Let o be (3*(h + 0))\/((-3)\/63). Let p = o + -76. Are p and -37\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29293.17 minus -1624114?\nAnswer: 1653407.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 3*c**2 - 5*c - 2. Let w be f(-4). Suppose 0 = 3*v + 9, w*z + 5*v + 17 = -2. Let x = 1 + z. Sort -2\/7, 0, x in decreasing order.\nAnswer: 0, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 103, 101, 99, 97, 95?\n\"Answer: -2*q + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 26. Sort 7, -4, j in increasing order.\nAnswer: -4, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:50 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(704)*-6 + sqrt(704) - (sqrt(11) - (sqrt(11) - 5*-2*sqrt(11)))*5)**2.\nAnswer: 81356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from ffzzzzqzqzzzzzq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1448, 1478, 1520, 1580, 1664, 1778?\nAnswer: 1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 16}. What is prob of picking 2 b?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/3 - 159832*f\/3 - 159830\/3 = 0.\nAnswer: -79915, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -292164 divided by -18\nAnswer: 48694\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4737*n**3*p*v**2 + 19149*n**3*v**3 + 3*n**2*p*v - 2*n**2*v**2 - 2454*n*p*v**2 + 3*n*v**2 - 5*p*v + 12*v**3 wrt n.\nAnswer: 28422*p*v**2 + 114894*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.085, 1\/51548, -2.6, 1\/3?\nAnswer: 1\/51548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.35461 + -0.04539. What is the closest to -2\/7 in -1\/3, -5\/96, r, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*a + 29, 4*c + 2*a - 32 = 7*a - 0*a for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sum -511 and -1319.3.\nAnswer: -1830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 12234480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 2 h when four letters picked without replacement from ghhssfsvgsss.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/18405 and -97\/90?\nAnswer: 36810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g - 3. Let r = -0.07 - 2.93. Let h = r - -5. Sort h, 1\/4, g in descending order.\nAnswer: g, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u - 670. Let c(t) = -17*t - 675. Calculate -4*c(l) + 5*z(l).\nAnswer: 3*l - 650","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 2.21\nAnswer: -0.1547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15815 + -15810. Put n, 41\/4, 15 in decreasing order.\nAnswer: 15, 41\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/2*2\/(-6). Let o = 0 - f. Let i(s) = 4*s**2 - 2*s - 2. Let p be i(o). What is the highest common divisor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-5)\/(-5)*3). Suppose 0 = -m*o - 3*o + 6. Solve -t - o = 3*f - 0, -5*t + 2*f - 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 178, 24, 0 in increasing order.\nAnswer: 0, 10, 24, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-178)\/445 - (566\/(-1490) - 0). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1301 - -1856. Let w = r - 294. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*r**2 - 90*r**2 + 163*r**2 + 13*r**5 wrt r.\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3253, 6509, 9767, 13027, 16289, 19553?\nAnswer: 22819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 2) + (5 - 0). Suppose 26 = -f*w + 3*w. Let o = w + -70. What is o rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182.391 - 183. Let g = m - -0.539. Which is the biggest value? (a) -3 (b) 7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6955347?\nAnswer: 3, 7, 331207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkks when four letters picked without replacement from kkqkkkskkkkkkkkkkk.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -3 - 7)\/2. Let j(a) = a**2 + 4. What is the remainder when j(f) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -54. Let k(i) = i**2 - 6. Let t(v) = -1. Let j(g) = l*t(g) + 5*k(g). Let o(z) = -z. Give j(o(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 71 (b) -7\/62 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -1\/3*q**4 + 0 - 192*q - 176*q**2 + 47\/3*q**3 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**2. Let x = 27 + -9. Suppose 3*z - z + 4*k = x, 3*z - 25 = -5*k. Let b(o) = 7 + 4*o**2 - 12 + z. Give b(s(v)).\nAnswer: 256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67487, -70933, -74379, -77825, -81271?\nAnswer: -84717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 32*b + 229. Determine p(-37).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-6)\/(-4))*-10. Let x(j) = -j**2 - 6*j + 3. Let v be x(-6). Suppose w*o - 39 = -2*y, y - 21 = o - v*o. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/11 - 588*w**4\/11 + 3018*w**3\/11 + 8372*w**2\/11 = 0. What is w?\nAnswer: -299, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 19.289, -0.039, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 74. What is the closest to -0.3 in h, -0.01, 1\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -295784.906 to the nearest 1000.\nAnswer: -296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - ((sqrt(1700) - -2*sqrt(1700)) + 4)) + (1*(3 + 0 + sqrt(17)))**2.\nAnswer: -14*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 3. Let h(d) = -d**3 - 4*d**2 + 5*d + 4. Let r be h(k). Solve 0 = m + r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Two letters picked without replacement from wsoyl. What is prob of sequence ol?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 + 6\/7*c - 2\/7*c**3 + 0*c**2.\nAnswer: -2*(c - 2)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 5*o - 4. Give s(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -2.0296.\nAnswer: -2.5296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 4. Suppose -9 = -3*q, 7*x - 9*x - 4*q + 18 = 0. Give l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146966?\nAnswer: 2, 73483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -12, 5*o + 8 = -5*x + 4*x. Let h = 3 + -3. Sort h, o, -2, 4.\nAnswer: -2, o, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 + 31*j - 3. What is g(-9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 1, l: 3, d: 3, c: 6}. Give prob of sequence dcfd.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -4.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(2057) - (sqrt(2057) - sqrt(2057)*-1))).\nAnswer: -6 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s - 4. Let h(v) = 2*v**3 - 15*v**2 + 9*v - 9. Let j be h(7). Let b(z) = -8*z + 5. Give j*r(q) + 4*b(q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Let c be (i\/10)\/(2\/10). Solve c*u = -0 + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90.8 - -93.8. Sort -2\/5, -1\/7, j, -5.\nAnswer: -5, -2\/5, -1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzidinzzdninnii. Give prob of picking 1 n and 1 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 204*u\/5 + 5202\/5.\nAnswer: 2*(u + 51)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(5\/2)\/l*l)*l*l\/l**(-2\/5)*l*l)\/((l**2\/l)\/l**5))\/(l**(1\/4)\/(l\/l**(-4\/5)))**(-3\/4) assuming l is positive.\nAnswer: l**(459\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.5 - 22. Let t = -74 + 70. Put 8\/3, o, t in ascending order.\nAnswer: t, o, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 13. Solve -5*v - y = -9, -4*v + v + 3*y = -s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = -8*f. What is the units digit of 4 - (f + 4 + -36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 175*k**2 + 355*k + 131. Calculate d(-177).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*j*n + 6*j + 357*n + 1812 wrt n?\nAnswer: -6*j + 357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/6)\/(1\/(-3)). Let n be 1 - 0 - (-1)\/1. Suppose -9*x + 27*x = 216. Solve n = -q*f + x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 3150.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/5 - (-68)\/10. Let d = 2642 - 2640. Calculate the highest common divisor of p and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from ppknn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a - 151 + 63 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 73\/219 + -274*(-2)\/(-6). Let r = j + 231. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 108. Let f = t + 41.5. Round f to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18279649*x**4 - 2*x**3 - 3*x**2 - 2620070.\nAnswer: 438711576*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(sqrt(19) + 2) + (-2 + sqrt(95)\/sqrt(5))*-4 + 4)**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 530 and 159?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -55 and 1.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 40. Let h be 2 - ((-99)\/q + 1\/4). Calculate the greatest common divisor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5 + 236020*t**4 + 1415964*t**3 - 708052*t**2 - 3775888*t + 2831952 = 0.\nAnswer: -58999, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2344*s - 2*s**2 + s**2 - 10 - 2359*s. Let b be k(-14). What is the first derivative of -3 - 16 + 16*h**b - 6 wrt h?\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24, -5, -87, 2, 9 in decreasing order.\nAnswer: 9, 2, -4, -5, -24, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/1050*-14*(-54)\/5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2407727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 1. Let d(f) = 5*f. Let o be (2\/10)\/((-4)\/6*(-3)\/20). Calculate o*u(r) - 3*d(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.339 + -0.139. Let h = 2 - 3. Sort h, 1, 4, o in descending order.\nAnswer: 4, 1, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4 - 4*v**3 + 16*v + 17. Factor c(o).\nAnswer: -4*(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/120*625\/(-750). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*b**4*u - 372716*b**3 + b**2*u - 8*b**2 + 312813*b*u wrt b.\nAnswer: -1320*b*u - 2236296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4542 - 782. Suppose -x = -2*s - 2*s. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58150 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24935.\nAnswer: 5, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134710 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45469021 or 45469025?\nAnswer: 45469025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:06 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 540*i*s**2*y - 4*i*s*y**2 + s**2*y**2 - 9*s**2 + 331*y**2 with respect to i.\nAnswer: 540*s**2*y - 4*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/32 + 14)\/(240\/(-420) - 5\/28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61.793 + -62. Let o = 138.207 + b. Is -1 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97322727?\nAnswer: 3, 4943, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -186, 0, -312 in descending order.\nAnswer: 0, -14, -186, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*u + 3*u + 29*u + (0 + 7 - 1)*(-7*u - 4*u + 6*u).\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/10)\/(g\/(g\/(g*g**4))*g))\/(g\/g**36*((g**(13\/7)*g)\/g*g)\/g) assuming g is positive.\nAnswer: g**(1921\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 233\/1815 - (4\/30 + 0). Let u = 2231\/38115 - a. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 10*f - 17. Let m(t) = -t**2 - 11*t + 17. Let o(c) = 4*m(c) + 5*n(c). What is the least common multiple of o(-9) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 21*w + 34. Let u be q(8). Let p be ((-84)\/u)\/((-2)\/(-5)). Let x be -20 - (2\/(-1) - -1). Put p, x, 0 in descending order.\nAnswer: p, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 79, 1 in ascending order.\nAnswer: 1, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6841*r + 41046. Determine y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166803?\nAnswer: 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779754.8s to milliseconds.\nAnswer: 779754800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/19)*t**3)**(-10\/7) assuming t is positive.\nAnswer: t**(-780\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p + 2 = -102*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 + 2*p**2 + 6*p + 2. Let d(t) = 3*t**3 + 2*t**2 + 5*t + 2. Calculate 6*d(z) - 5*y(z).\nAnswer: -2*z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51, 85, 179, 363, 667, 1121?\n\"Answer: 5*i**3 - i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from uuupuuuuunnuuu?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -152, -362, -660?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**3 + 279*u**2 - 66*u - 21281. Determine x(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 22 - 118. Let l = 70 + x. Solve -21*g + 20*g = l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8232 is divided by 2006?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 0.1408 (b) 1 (c) 0 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011100000101 (base 2) to base 8.\nAnswer: 33405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 + (5 - (3 - -1)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 9*m - 9. Let q be j(-7). Find h such that q*h**5 + 85*h**2 + 14*h**3 + 6*h + 24*h + 35*h**4 + 71*h**3 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.4, 51, 0.3, -5\/3, -2.\nAnswer: -2, -5\/3, -0.4, -1\/7, 0.3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275800905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3929 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.4 (c) -2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.021 and -0.09.\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g - 20. Let x be y(-3). Let a = x - -61. Suppose 2*b + a*b - 179200 = 0. What is b rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s - 5*c, -4*s = -c - 2*c - 41. Find the second derivative of 89*r - r**2 - 80*r - s*r**2 wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/7, 3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 7984?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27762 and 11454?\nAnswer: 52997658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5\/3 - 1375*q**4\/3 - 26104*q**3\/3 - 55204*q**2 - 110064*q + 31104 = 0. Calculate q.\nAnswer: -324, -8, -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010000100001100111 - 1111?\nAnswer: -110010000100001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 146023523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**2 - 89. Let y(f) = 9*f**2 + f + 87. Calculate -3*n(r) - 2*y(r).\nAnswer: 3*r**2 - 2*r + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 2*v**3\/3 + 2. Let c be n(1). Let z(f) = 3*f - 1. List the prime factors of z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -21. Let d(c) = 2*c**2 + 2*c - 5. Let u be d(s). Let v = u + -44. What is the highest common divisor of 198 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 420. Calculate the lowest common multiple of h and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*z + 335*z + 21 = 3*d, -z + 3*d = 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 - 13 = -3*b, -32 = -4*b + 4*q. Suppose 0 = -0*g - 2*g + 4*f + 158, -b*g + 384 = f. What are the prime factors of g?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 + 5*i - 2. Let p be g(4). What is the third biggest value in 6, p, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 52. Suppose 3*j = -3*f + 2*j + u, 3*f = -2*j + 39. Let t = f - 15. Sort -3, -4, t in descending order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*g + 303, 948*t - 944*t = -12. Solve g*r = 97*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/13 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 209. Suppose g*w + 960 = 24*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3*(-2)\/30)*18\/12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**4 - 8*m**4 + 8*m**4 + m**2 - m**2 + 2*m**4 + (2*m**3 + m**2 - m**2)*(0*m - m - m) - 2*m**4 - 1 + 1 + 3*m**4 - 6*m**4 + 4*m**4)*(0*m + m + m).\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5044 + 21*j**2 + 1667 + 1699 + 1678.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183866 + -20983. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10787 divided by 1?\nAnswer: 10787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 18}. What is prob of sequence zbbz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -2\/9, 0.6 in decreasing order.\nAnswer: 0.9, 0.6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {x: 2, g: 5, y: 1, r: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8 and 15\/228148142.\nAnswer: 912592568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -433 - -2167\/5. Which is the closest to t? (a) 0.2 (b) 5 (c) -5 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 9*x - 151. Let h = x + -146. Solve -3*t = h*d + 2, 2*t - 20 = 5*t - 4*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 5*a. Let z be w(5). List the prime factors of -5 + 6 + (8 - z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-1)\/2*-6). Let i = u - -3. Solve i*y = -3*n - 3, -4*n - y - 13 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2496 - 2522.19. Let a = -23.233 - j. Let t = -3 + a. Which is bigger: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498400 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41793 divided by 1\nAnswer: 41793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31383.9146 + -31381. Let g = u + 0.0854. Which is the nearest to 1\/4? (a) 0.05 (b) -0.5 (c) -3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0*o = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let b(l) = -6*l**2 - 5*l + 5. Let v(g) = g**2 + g - 1. Let z(h) = -2*b(h) - 11*v(h). Let d be z(r). Which is smaller: d or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-56)*-8 - 7. Let l be ((q\/10)\/3)\/(27\/(-540)). Solve 3*k - 4*w = 26, -4*w - 6 - 6 = l*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.318 from -3.\nAnswer: -0.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80332339.\nAnswer: 73, 1100443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9886350?\nAnswer: 2, 3, 5, 17, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (4 + 3 - 3). Suppose 7*z - l*z = 1056. Suppose -10*m + 13*m = z. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.1 - -0.08?\nAnswer: -48.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5 - 456*z**3 + 460*z**3 - 2*z**2 - 2*z + 8*z. Suppose 0 = -3*p - 2*x - 1 + 4, 5*x = 2*p - 21. What is the units digit of q(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 98336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73847 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*n + 38, -3*n - 5*s + 30 = -2*s. Let a be (-2306)\/(-4) - (-2)\/(-4). Suppose -10*p + a = n*p. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + (-6 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -884336 (base 14) to base 2.\nAnswer: -10001101000010011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*v - 6383 = -591, 4615 = 4*h + 3*v. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*(-42)\/(-1617))\/(1\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43*16*40\/640?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1144.881 to the nearest ten.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**2 - 8*c + 3*c - c**2 + 6*c to r + m*c + t*c**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8*i - 5154 = -7*i, -3*i + 5178 = 5*r. What is the least common multiple of r and 774?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 165*k**3 + 84 - 167*k**3.\nAnswer: -2*k**3 + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4 + (-3 + 3 + 1)*(1 - 2 + 0) - 2 - 2 + 8)*(3*v - 2*v - 3*v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29440 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1666, -1653, -1640?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1223446 and 21266.\nAnswer: 59948854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -49, -63, -73, -79?\n\"Answer: 2*w**2 - 24*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 128*p - 510. Does 34 divide m(85)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, 20, 101, 256, 509, 884?\n\"Answer: 4*o**3 + o**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o - 5*j = -49*o + 16, 0 = 2*o - 3*j - 25 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.032 - 1.618. Let q = -3.14 - w. What is q rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*o = 55, 5*o = -0*f - 2*f - 55. Let v(d) = -15*d + 300. Let s be v(20). Is f greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/7 - 291*x\/7 - 20880\/7.\nAnswer: 3*(x - 145)*(x + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*q**4 + 57972*q**3 - 516894*q**2 - 1207452*q - 632649 = 0. Calculate q.\nAnswer: -929, -1, 227\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 11*l**2 + 3. Let q be v(-11). Is (q - 3) + 1 + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 71\/5 of a second?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.679566 litres in millilitres?\nAnswer: 2679.566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7946 - -8105. Calculate the remainder when 161 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/(-9))\/(-50))\/(4\/(-30))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(-2\/19)*r*r**(-2\/89)*r*r assuming r is positive.\nAnswer: r**(8595\/1691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - 4.2. Let v = 4.6 + m. Suppose 5 = 5*g - 0. What is the closest to g in 0.4, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -12, -5*p = -3*p - 2*i - 4. Let y be 6*((4 - p) + 8\/9). Which is the biggest value? (a) 5 (b) -0.08 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 43 + 27 - 12)*(i + 2*i - 2*i).\nAnswer: 69*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3160*s + 7*s**2 - 20*s**2 + 3230*s in the form n*s**2 + d + p*s and give p.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5454*l**2*n**3*x*z**3 + l**2*n*x*z**2 + l*n**3*z**3 + 9*l*n**2*z**3 - l*z**3 + 652*x*z**3 wrt l.\nAnswer: 10908*n**3*x*z**3 + 2*n*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, 111 in decreasing order.\nAnswer: 111, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/511*6\/(-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**3*r**2*y**2 + h**3*r*y**2 + 3*h**3*r + 236*h*q*r**2*y + 44*q*r*y**2 + 3*r*y**2 - r wrt r.\nAnswer: -10*h**3*y**2 + 472*h*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5681*a + 102 = -5656*a + 427 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-1)\/24)\/(2\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 4. Let z be w(-4). Let k = 7794 - 7771. Suppose i = m - i - k, z = -2*m + i + 58. What is the remainder when m is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 200 + 40. Suppose -11*g + k = -8*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86382.\nAnswer: 2, 3, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/720 and 145\/246708.\nAnswer: 4934160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 5*g + 134. Let u = g + -19. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92006 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -2, 13, -3146 in descending order.\nAnswer: 13, -2, -72, -3146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -g - 4*r - 54, -3957*g + 3950*g + 3*r + 28 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -241206 at least -241205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9119.\nAnswer: 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -336818 minus -43?\nAnswer: -336775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-51)*129\/(-6) and (-210)\/(-48) + 4\/6.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*t)*(426 - 400 - 315 + t).\nAnswer: 3*t**2 - 867*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -869 - -871. Let z(f) be the second derivative of 16*f - 1\/6*f**3 + 0 - f**r. Calculate z(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*c - 9 - 11, -2*c - 82 = -5*v. What is the remainder when 441 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0*q**3 + 0*q**5 + q**2 - q + 1\/30*q**6 + 0*q**4 + 0. What is the first derivative of s(b) wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 62 (b) -1\/10 (c) 1\/2 (d) -2 (e) 3\/5 (f) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841839?\nAnswer: 3, 280613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 15.828.\nAnswer: 16.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 90879880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318410 divided by -318410?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2120232 = -6080250. Suppose -4*z - 2*c + 1319996 = 0, -h = -4*z + c + 2*c. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 5:50 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.85, 14.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10437 is divided by 386.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4148 + 9135. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/45*3)\/(4\/34). Which is bigger: k or -436\/13?\nAnswer: -436\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289?\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10151191 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*g + 11, 2*g = -3*g - 3*n + 7. What is the derivative of 0*x - 36 + 41*x**2 + 45*x**2 - 70*x**g - 91 - 2*x wrt x?\nAnswer: 32*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/260064 and 139\/130032.\nAnswer: 260064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2996 * -1752.\nAnswer: 5248992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + (0 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5)*(-2*y**5 - 4*y**5 + 2*y**5).\nAnswer: 20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37643089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -39. Suppose h*m - m = 90. Let k be 4\/14 - m\/105. Is -2\/13 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 1 + 1)*(-12 + 12 - 5*t)*(-5 + 4 + 2).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-756)\/22 + (26964\/(-1177))\/(-63)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqqqhqqqq. What is prob of sequence hq?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 646 in -0.4, -4, -1.4, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n. Let u(d) = -20*d + 1. Suppose -129*w + 1440 = 31*w. Suppose 4*s = s + 2*c - 10, 8 = -5*s - c. Give s*u(r) + w*i(r).\nAnswer: -5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 + -93. Let a = y + -109. Solve j = -a*b + 12 - 4, -j + 3*b = 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67603799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3839, 3844, 3849, 3854?\n\"Answer: 5*o + 3834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-1 - (-228750)\/(-48)). Let v = -4775 - u. Let a = -32984\/45 + 3691\/5. What is the common denominator of a and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/1470 and 97\/901404.\nAnswer: 4507020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c**(17\/3))\/c))\/c**(4\/7))**42 assuming c is positive.\nAnswer: c**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721.573 years in centuries?\nAnswer: 37.21573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/900 and 191\/11040.\nAnswer: 165600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -108*u - 2. Let r be z(-3). Suppose c = 3*c - r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1151, 2309, 3467, 4625?\nAnswer: 5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**2 - 75*s**6 - 133*s**6 + 8*s**2 + 6*s**2 + 12*s - 4*s**2 wrt s.\nAnswer: -24960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270951 and 72?\nAnswer: 6502824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/(a*a\/a**(-36)*a)*a))\/(a**20\/a))\/(a**(-6\/25)\/a**(-2\/23)))**(1\/4) assuming a is positive.\nAnswer: a**(5219\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*z + 4*z + 14 = 0, -3*z = -5*s + 18. Suppose 2*p - 67 = s. Calculate the remainder when p is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*v + 202*v + 38 = 0. Suppose z + 4*q = 11, 5*q = -z + v - 5. Which is greater: z or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/64 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(21\/28)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 886215.4ug?\nAnswer: 886.2154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f**4\/7 + 77702*f**3\/7 - 1422752*f**2\/7 + 1838542*f\/7 - 493476\/7 = 0 for f.\nAnswer: 3\/8, 1, 17, 4838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(1 + sqrt(19)) + sqrt(19) + sqrt(57)\/(1*sqrt(3)) + -3).\nAnswer: 10 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226921243?\nAnswer: 61, 3181, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:12 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a38 - -23?\nAnswer: a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(1*sqrt(90)) - (sqrt(44)\/(sqrt(8)\/sqrt(2)) + sqrt(11) + -1 + 4)) + -4)**2.\nAnswer: 70*sqrt(11)\/3 + 716\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 22*l**2 - 34*l - 105. Let j be c(-3). Let y = j + 109. Calculate the highest common divisor of y and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o + 6124 - 122294. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 5*c - 2*n + 1117, -5*c + 4*n + 1111 = 0. Let t = c + -153. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a + 64. Determine d(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 34. Solve -h = -p*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:20 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 635735139*i**3 - i**2 + 3514273*i + 5 wrt i.\nAnswer: 3814410834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 2\/(4\/20*120\/(-3216)). What is the closest to 1\/7 in -5\/3, 5, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.2. Let w = 0.1 + 0. Which is the biggest value? (a) w (b) -2\/13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9*v + 3)*(-43*v - 11*v + 5*v).\nAnswer: 441*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + -1 + 4 + 6. Solve 0 = -o + k*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.40388.\nAnswer: 0.080776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658\/1974*1\/((-131)\/6).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3251*h**2 - 36*h + 0*h + 1 + 0 - 3249*h**2 - h**3 - 17*h**4 as n + q*h + w*h**4 + f*h**2 + o*h**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 r when four letters picked without replacement from rrrrrrrbrbrrrrbrbbr?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2\/7. What is the smallest value in h, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**2*t**4 + r**2*t**2 - r**2 - 76*r*t + 15*t**3 wrt t.\nAnswer: 72*r**2*t**2 + 2*r**2 + 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/22 + -39\/44. Put 5, -7, v, -3\/4, 8 in descending order.\nAnswer: 8, 5, v, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47759 by -1612.\nAnswer: -47759\/1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**6\/120 + i**5\/15 - i**4\/24 - i**3\/6 - i**2 - 24*i. Let p(f) be the first derivative of y(f). What is p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5616 divided by 6.\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (9 - (3 + 5))*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 5*k**6\/18 - 28*k**5\/45 + k**4\/6 + 1022*k**2. Factor j(b).\nAnswer: 4*b*(b - 1)*(25*b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11244?\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15569 = 36*f + 7507. Let h = 641 + f. What is the nearest to 1\/4 in -0.4, -7, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4, 3, -3, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c**2 + 1209*c - 1208. What is p(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -72652+7.035\nAnswer: -72644.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - -0.82. Let p = 0.369379 + 1.551411. Let l = v - p. Round l to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/553 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11834780563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 24*g + 12. Let n be j(0). Which is the closest to n? (a) 1 (b) 0 (c) 1\/2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 8*i + 3. Let d = -69 + 61. Let m be s(d). Solve -4*q + 16 = 0, -m*p + 13 = 5*q - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-6))))**(-50)\/(w**(1\/11)\/w**(1\/6)) assuming w is positive.\nAnswer: w**(16505\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 42*j - 24. Is n(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7559 or -7343?\nAnswer: -7343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:21 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -12, 70, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15*14732\/15660 + 12\/10*(-120)\/(-9)\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -71, -148, -267, -434?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/20)\/(0 + (-140)\/50). Sort -0.05, 2, b in ascending order.\nAnswer: b, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23344, 3863, 2, 4 in decreasing order.\nAnswer: 23344, 3863, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 2. Suppose -i*c + 10 + 5 = 0. Suppose 4*j - 16 = -c*m, 5*m - 2*j - 9 = 9. Put -3, m, 5 in increasing order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 138b6 + -16?\nAnswer: 138a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from dvdo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/((-241)\/(-8026)). Let s = o + -17\/482. What is the common denominator of s and 32\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 5)*(-4 - 2 + 2)*(-32*l**3 + 204*l - 204*l).\nAnswer: 1152*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 616 = 112*s, -30 = -17*s + 13*s - 2*t + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 1, 2\/23, 45, -3\/5, -3 in descending order.\nAnswer: 45, 1, 2\/23, -0.12, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/920*((-172)\/(-28) - 5)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 11) to base 7\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 7, 0, 50, -1 in decreasing order.\nAnswer: 50, 7, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 3680504111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 282*g**3 - 7*g**2 + 9*g + 44. Let t be i(-5). What is t rounded to the nearest 100?\nAnswer: -35400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o - 21*o - 4*o**3 + 41 - 13 + 3*o**3 + 22*o**2 - 3*o. Let w be v(20). Suppose -6*h + h = 0. Solve h = -i + 5*i - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35307312 (base 8) to base 14.\nAnswer: -104796a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3042*o**3 + 1726*o**2 + 242*o - 5. Let z(b) = 3042*b**3 + 1724*b**2 + 242*b - 4. Let t(f) = -4*c(f) + 5*z(f). Suppose t(x) = 0. What is x?\nAnswer: -11\/39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/30*(-135)\/108. Which is the closest to 0.1? (a) -3 (b) -0.037 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069081.\nAnswer: 7, 19, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35073355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6858105.\nAnswer: 3, 5, 239, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1960)\/(-6272))\/(15\/2)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u + 1320 = 36*u. Let f = -96 + u. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 16766 - 3821 + 158204 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 (base 11) to base 12\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-9)\/9)\/(2\/(-24)). Let q(s) = s**2 - 4*s - 4. Let t be q(4). Is 3 a factor of (-2 - t)\/(h\/(-85))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5306 - -5394. Calculate the remainder when j is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93805 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146593800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**4\/24 + 7*j**2. Let k be t(-2). What is the third derivative of -2*n**k + 12*n - 2*n + n**5 - 10*n wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.07 + 0.13. Let r = 78.43248 + -79.6324838. Let y = j + r. What is y rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -339 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9793118 by -1.\nAnswer: 9793118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5883 plus 0.056?\nAnswer: -5882.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24485*r + 12717*r - 8741*r.\nAnswer: 28461*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.03308115 to 2 decimal places.\nAnswer: 3.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-5208\nAnswer: -5208.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 18 = -4*t, 164*t = 157*t - 5*s - 39 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*l - 36 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5374951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**3 - 5*x**2 - 17*x**3 + 24*x**3 + 1 + 2*x - 2*x**4 to the form d + u*x**2 + f*x**3 + s*x + p*x**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.0378ng in milligrams?\nAnswer: 0.0007880378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323671 - 1339588 = -13*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*g = -116, k + 2*g = -2*k - 122. Let f be ((-16)\/18)\/4 + k\/(-18). Let v = -4 + 9. Solve -2*a + 5 = v*y, 5 + 2 = a - f*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = 28. Suppose -h*r + 6*r = -252. What is the greatest common factor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 2:29 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 22 = -q. Suppose 24*f = q*f + 4. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 6*p - 1. Let d be z(-7). Let v = -1 + d. Suppose -6*y = -v*y - 3. Solve y = 2*u - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5 - 174622*t**4 - 3811343214*t**3 + 11453064094*t**2 + 381134341400*t - 1143560189400 = 0?\nAnswer: -43657, -10, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) - 42\/(-15). Suppose 0*o - 2*o + 39 = 3*z, -u*o + 87 = -5*z. What is the highest common divisor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205885175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -13. Suppose -5*w - 4*s = -47, 8*w - 4*s - 23 = z*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 48*s**3 + 50*s**3 - 15 + 419*s**3.\nAnswer: 517*s**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**2*o**3 + 459*n**2*o**2 + 79*n*o**3 + n*o**2 wrt o?\nAnswer: -24*n**2 + 474*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(448)*-2 - sqrt(448) - (sqrt(448) + (sqrt(448) - -2*sqrt(448))*1)))**2.\nAnswer: -560*sqrt(7) + 21977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8226682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -34331462?\nAnswer: -34331446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -2*m**3\/3 - 7*m**2\/2 + 20*m. Suppose -4*d - 65 + 205 = 5*i, 4*d + 3*i - 132 = 0. Suppose a + d = -4*a. What is b(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677058 less than -28394.023?\nAnswer: -705452.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999?\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 56035*p + 27526214.\nAnswer: -(p - 56522)*(p + 487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1406, -1501, -1602, -1709, -1822?\n\"Answer: -3*o**2 - 86*o - 1317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 (base 10) in base 11?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xag when three letters picked without replacement from xaxaxaggggag.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -136. Let m = -6379\/12 + 522. Calculate the common denominator of m and 1533\/g + (-44)\/(-55).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -25*s**4\/4 - 1735*s**3\/3 - 2020*s**2 - 1340*s + 3988. Suppose h(v) = 0. What is v?\nAnswer: -67, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -133 (c) 0.02 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/20 - 2*p**4\/3 + p**3\/6 + 5*p**2 - 3*p. What is the tens digit of u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 762168336 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10056367 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 172, 234, 296?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhheeeeehhee. What is prob of sequence hhe?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 + -71. Let b be s\/(-58) - 367\/(-2). Suppose 0 = -3*y - 0 - 6, -5*y = -4*m + b. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**3\/3 + 111*g + 11. Let r(m) = 2173*m. Calculate r(n(d)).\nAnswer: -4346*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -57 - 2*a + 59 + 3*a**3 - a. Let t be x(1). Solve t*f = 4*h + 24, 10 = 3*f + 2*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124 - 5?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33974 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 30*p - 31*p - 6*p**2 + 61*p in the form q*p + h*p**2 + j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 3*n**2 + n. Let a(o) = 2140*o**2 - 1066*o**2 - 1071*o**2. Calculate a(s(q)).\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 13*y + 31. Let m(j) be the second derivative of j**4\/4 - j**3\/2 - 11*j**2\/2 + 2*j. Is m(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**3 + 3*d - 3. Let v(w) = -5*w**3 - 2*w + 2. Give 3*v(g) + 2*x(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16188219200 rounded to the nearest one million?\nAnswer: 16188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 h when three letters picked without replacement from {n: 1, i: 1, j: 5, h: 1, g: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7779, 8266, 8737, 9186, 9607, 9994, 10341, 10642?\nAnswer: 10891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u + 120 = 47*u. Suppose 4*j + u = 0, -3*a + 991 = -4*j - 307. List the prime factors of a.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 3:06 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s + 666. Let g be i(-41). Calculate the highest common factor of 24160 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*x**3 + 4\/7*x**2 + 8\/7*x + 0.\nAnswer: -4*x*(x - 2)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**0\/(r**(-6)*r**(2\/7))*r**7*r**9*(r**(-1\/2))**(4\/5) assuming r is positive.\nAnswer: r**(746\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051592703 rounded to 4 decimal places?\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -3. Let l = c + -11.8. Let z be 64\/(-2 - 6) + 5. What is the closest to -1 in 0.02, l, z?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**3 - 31*y**2 + 42*y - 7. Calculate o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((5 + -6)*-5)\/1. Let k = 0.32 + -0.4. Which is the second smallest value? (a) -1 (b) -1\/3 (c) u (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44165, 44166, 44167, 44168?\n\"Answer: n + 44164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 12426 + 8100 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3331 - 19987\/6. Is t >= 626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -24*s**3 + s**2 + s. Let h be n(-1). Suppose -h + 184 = 4*y. Suppose -4*r - y = -8*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82a71 (base 15) to base 10.\nAnswer: -414106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + 4. Let z = b + -12. Suppose -27*g = -35*g + z. Calculate the remainder when g is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 49702.\nAnswer: 9\/24851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189.93130918 - 189.8648. Let j = -0.0665 + d. What is j rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2 + -4 + -79 + 0. Let p be (-5364)\/c - -3*(-4)\/54. Let w be (-44)\/(-2)*(3 - 1). What is the greatest common factor of p and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 0.071472.\nAnswer: -0.628528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*z - 19*z - 2 + 55*z)*(8*z - 8*z - 7*z**2) in the form k + x*z + j*z**2 + l*z**3 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -532, -1700, -3978, -7738?\n\"Answer: -62*j**3 + 3*j**2 - 5*j - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, 76, 7, 5, 3.\nAnswer: 0, 3, 5, 7, 30, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (15 - 63) - 9?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37253429 rounded to the nearest 10000?\nAnswer: 37250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7698 - 4279. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (1 - 0))\/(-2). Suppose f = -o - 4*l - 25, 3*o - 2*l + 1 = -4. Let g(h) = h**2 - 10*h. Let b be g(10). Put o, -4, b in ascending order.\nAnswer: o, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -411309999 - 845.\nAnswer: -411310844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 44. Let p = w - -39. Suppose 4*g + 28 + 4 = p*b, g = 3. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109615879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -402, -528?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 210 in ascending order.\nAnswer: 3, 19, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 21689.819 to the nearest integer.\nAnswer: 21690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 130432 times -0.56\nAnswer: -73041.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -34.1 and -86241.\nAnswer: -86275.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -5, -5, -7, -11, -17, -25?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 319, 646, 971, 1294?\n\"Answer: -o**2 + 330*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, 1\/2, 0.79, 2\/3, -4?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22 - -10) + 20)\/8. Let u(s) = -s - 1. Let v(l) = -l - 4. Let i(t) = t + 4. Let w(r) = 6*i(r) + 5*v(r). Determine m*w(z) + 3*u(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -529\/22 + 6\/11. Suppose 8*o = -28 + 12. Find the common denominator of (-4)\/o + 6\/(-198)*-63 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 618723.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/6 - (-2)\/(-4). Let j be ((-6)\/10)\/((-61)\/3965). Solve 4*q + 10 = -5*s + j, -q - 2*s = -v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Solve g - s - 1 = -0*s, 0 = -3*g - 3*s - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 4 - c - 97*c**2 - 8*c + 101*c**2 = 0 for c.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dag when three letters picked without replacement from yadddggggagggggd.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 25*v - 92. Determine f(-31).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - -2*sqrt(66)*-4)\/(6*-2*sqrt(6))*6.\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2424423.4 days to weeks.\nAnswer: 346346.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*a*y**4 - 473657*a*y**3 - 902*a + 4475 wrt y.\nAnswer: 384*a*y**3 - 1420971*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-29)\/l)))\/l)\/l**(-25)*(l*l*l**(-7\/5))**46 assuming l is positive.\nAnswer: l**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1787927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-30)*b**(-32)\/b assuming b is positive.\nAnswer: b**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3720219153?\nAnswer: 3, 7, 47, 67, 101, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -r + 58, -4*o = -2*r - 2*o + 76. Let c = 85 - r. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - -1) + 1306 + -1335 + (1 - (-1 + 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -3650708 and -43.6511.\nAnswer: -3650751.6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2483.135311 to 0 dps.\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/36 and 149\/26064.\nAnswer: 26064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*o**2 - 776*o + 2754 = 0. Calculate o.\nAnswer: -81, 17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (3\/(-1) - 1). Suppose o - 10 = -5. Let s(w) = w**2 - 6*w + 7. Let b be s(o). Sort 0, r, b in ascending order.\nAnswer: 0, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28062335 divided by -42199?\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333 + -333. Let c = 69 - 67. Suppose 2*f + r - 3 = -2*r, -5*f - c*r = -2. Solve f = -2*u - 4 - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25\/427 in 0.2, 3\/2, -2\/9, 5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46738516 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 357*a**2*h + 2*a**2 + 2*a*h - 24*a - 126 wrt a.\nAnswer: 714*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*10\/(-3). Let y(c) = -6 - 2*c**2 + 7 - c**3 + j*c**3. Let z be y(1). Solve 10 = 2*d - z*d + u, 0 = 4*d - 5*u + 45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f)\/f**(2\/3))\/((f*f**(-2\/7))\/f)**(7\/5) assuming f is positive.\nAnswer: f**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - 1)\/(4 - (-51)\/(-12)). Let p be (1\/(-4) - 10\/s)*0. Suppose 0*b + 3*b - 360 = p. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 1 - (1 - 22). Let y = j + -11. Suppose 7*x = y*x - 17. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 32 = 0. Let v be ((-3)\/(-2))\/((-45)\/x). Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1257 - 242 - 237 + 4*o - 309 - 234 - 235.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w + 14. What is the units digit of c(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u - 4*u + 9*u + (1 - 1 + 1)*(222*u + 118*u - 149*u).\nAnswer: 201*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6040 - 5?\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/2 - 8\/(-4). Let k(z) = -2*z - 10. Let t be k(l). Suppose 0 = 3*y - t - 1. Are -1\/20 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*d - 86 + 36, -3*n = -3*d - 6. Suppose y + 2*y = n. Let j(l) = -l**3 + l**2 - 2*l + 3. Give j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 - 1. Let h be v(2). Let k(m) = 2*m - 4. Let j be k(h). Let y(s) = 3*s - 2*s**2 + s**j - 1 - 2. Give y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5*f - 5. Let l = -10 + 5. Let d be v(l). Let m(y) = -3*y - 5 + 5*y**2 + y**3 - 1 + 0. Calculate m(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/20 + y**4\/2 + y**3\/2 + 3*y**2\/2 + 92*y. Let v = -24 + 12. Let w = v + 7. Calculate b(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l + 4*l - 4*l + (-15 - 8 + 12)*(-2 + 2*l + 2).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 3*r - 13440 = 0. Suppose 0*i - 7*i + r = 0. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 2*u**3 + 3*u**3)*(464 - 20 + 143 + (0 - 2 + 3)*(1 - 2 + 0)).\nAnswer: 1172*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 2 - 873*i**3 + 928*i**3.\nAnswer: 55*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 355*x**3 + 10*x**2 + 37*x - 214. Let o be c(7). Round o to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 16945?\nAnswer: 28\/16945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 - -354. Let v = u - 257. Solve 0 = 4*l - 5*q + 13, 0 = 2*l - 2*q + v + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 55*a + 180. Calculate the smallest common multiple of 9 and y(-27).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let x be t\/((-1)\/2)*-1. Is (x - (-4)\/(-2)) + 79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**3 + 2*f**2 + 17*f - 4. Let p = 9 + 2. Let l = -18 + p. Let c(z) = 2*z**3 + z**2 + 8*z - 2. Let j(k) = l*c(k) + 3*b(k). Determine j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6*c - 5, -4*w - 5*c + 37 = 0. Find the third derivative of 11*o**2 - 11*o**4 - 3*o**3 - 27*o**2 + w*o**3 wrt o.\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/11)*g**(-1)*g*g\/g**(1\/3)*g*g*g**(-5)*(g\/g**(2\/9)*g*g**(-5)\/g)\/((g*g**4*g)\/g*g*g**(-3\/5)) assuming g is positive.\nAnswer: g**(-6008\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/9, -4, -2\/7 in descending order.\nAnswer: -2\/9, -2\/7, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27 - 236 + 20*p**2 - 75 - 5*p + 19*p**2 + 3*p wrt p?\nAnswer: 78*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628917490.\nAnswer: 2, 5, 29, 37, 58613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 20*l**2 - 36*l. Let u be z(2). Solve -2*x - u = 2*d - 0*d, 4 = -2*x + 2*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426, -424, -420, -414, -406?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/146)\/(2\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -58*a**3 - 47*a**2\/2 - 48*a. Is l(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4*p + 4. Let i be w(2). Put 1, 2, -20, i in increasing order.\nAnswer: -20, i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*y = 80, -7 = -2*s + 5*y + 25. Calculate the greatest common factor of s and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 51*n**3 - 16*n**2 - 27*n**2 - 106*n**2 - 140*n + 272 + 15*n**2 - 49*n**3 = 0?\nAnswer: -2, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2898 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144922, -144921, -144920, -144919, -144918, -144917?\nAnswer: -144916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 3*x - 2*x + 5*x - 6*x + 3*x + (1 + x - 1)*(0 + 0 - 1) + 6 - 2*x - 6)*(8*x - 16 + 16) to the form j*x**2 + y*x + d and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.09882 - 51251025.4\nAnswer: -51251025.49882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9691.0005 - 9685. Let p = -14 + 8. Let i = p + s. What is i rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(2*sqrt(7)))\/sqrt(4).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7913 - 18679. List the prime factors of (-2)\/(-3) + (b\/(-42) - 6).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 0, -5 in decreasing order.\nAnswer: 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01600053 and 28.\nAnswer: -0.44801484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*q + 2*q - 752 = 0, q + 752 = 4*f. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.6676 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + t**2. Let d(b) = -b - 16. Let q(s) = -s**3 + 20*s**2 + 19*s + 26. Let g be q(21). Let v be d(g). Calculate k(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2703 - 2698. Solve -q*m + d = 3, 4*m + 3 = -3*d + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41357 is divided by 13719.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.1 - 8.9. Let p = 20.1 + u. What is p rounded to zero decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 895 and 5370.\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i = -331*i - 14*i + 18830 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1182 - -363. Let g = n - 21. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199790*r + 199776*r - 599350*r + 199786*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 2*k + 12669888*k**3 - 12669890*k**3.\nAnswer: -2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 2 (b) 1.4 (c) -4 (d) 4 (e) -35 (f) 0.18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 + 139. Sort -7, 5, k in increasing order.\nAnswer: -7, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176677?\nAnswer: 176677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 4) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1016421432.7708 and -1.\nAnswer: 1016421431.7708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/40 + 53*k**4\/24 + 769*k**3\/12 + 715*k**2\/4 + 1079*k - 1. What is a in q(a) = 0?\nAnswer: -11, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 1263, 3795, 8723, 16845, 28959, 45863, 68355?\nAnswer: 97233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -6\/7 (b) -0.1776 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/(3\/2*(-20)\/30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21312.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 288 = 360. Suppose -4*o - 16 = 5*d, -9*o + m = -3*d - 12*o. Let c(w) = w**3 + 2*w**2 - 4*w - 6. Give c(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -213 - -212.01. Let d = -111250 + 111249.00914. Let h = d - t. What is h rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1025 - 1029.912. Let n = -0.088 + k. What is the third smallest value in 0.2, -1.5, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2933300 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = 30*i - 9*i. Sort i, -1, 0.\nAnswer: i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2257 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5270468.4 seconds to hours.\nAnswer: 1464.019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 22*k**2 - 194*k - 261. Determine x(8).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {a: 7, k: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449\/17 at most as big as 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20664987 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -865 + -972. Let y = 3046\/27 + -114. Find the common denominator of y and (d\/(-36))\/(-11) + 8\/(-32).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 8) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 3*x + 13, -3*r - 4*x = -6*x + 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 39 = p + v, 2*v = 2*p + 6. Which is the closest to -11? (a) -5.4 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = m + 10, 8*h - 10*m - 20 = -9*m. Solve 2 = 2*t - h*w - w, 0 = -3*w - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**7\/420 + l**4\/6 + l**3\/2 - 4*l. Let u(s) be the second derivative of v(s). Differentiate u(z) with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x + 2*n = 28*x + 16, -x = 2*n + 28 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.9906 milliseconds in nanoseconds?\nAnswer: 207990600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 4:17 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2409, -165, 105 in decreasing order.\nAnswer: 2409, 105, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4. Let w(z) = -z + 12. Let n(o) = -12*t(o) - 4*w(o). Let v be 4 + -4 - (1 + -8). Suppose 3*d + 4*j - 23 = 0, 3*d = 3*j - j - v. Calculate n(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 4*c + 6. Suppose -7*g = -25 + 81. Let d be n(g). Let f = d + -29. Is 10 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -432\/67?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3890 + -3884. Solve -37*h = r*h - 86 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/4, -16.12, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331466 = 8565*z - 53959 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - g + 57. Let q be s(0). Suppose q = m + 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -78, -76, -74, -72?\n\"Answer: 2*i - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let h(t) = 5*t**2 + 26*t. Calculate h(o(n)).\nAnswer: 5*n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 289839795 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14596155 is divided by 3817?\nAnswer: 3764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w + 9*w - 145 + 64 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/5 - 84066*c\/5 + 672464\/5 = 0.\nAnswer: 8, 84058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/6 + 12\/36. Suppose -d*j - 108 = -636. Suppose 4*q = 8*q - j. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**5\/6 - 17*h**3\/2 + 21*h**2\/2 - 2*h - 5. Let g(w) be the second derivative of k(w). Differentiate g(f) with respect to f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b877 + 3?\nAnswer: 2b87a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p + 47. Let u be c(-5). Suppose -28 = -x - w, 0 = u*x - 0*x + 4*w - 58. Solve -3*s - 21 = -x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -608, -1207, -1806, -2405?\n\"Answer: -599*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 2) + (10 - 20) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2186590670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1033130 (base 7) to base 14\nAnswer: -33c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 4. Let v(t) = -t**2 + 2. Let h(w) = -5*v(w) - 2*z(w). Suppose -253*a = -252*a - 2. Calculate h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -62345\nAnswer: 623.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 372*b + 7936. What is the thousands digit of q(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1274)\/11970 - (-2)\/10. Let v = -1\/57 - b. What is the nearest to -3 in 1, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 + 370. Calculate the least common multiple of s and ((-3)\/(-10)*16)\/((-252)\/(-1680)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 + 28*i - 154. Let t be p(5). What is the greatest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1210.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 6)*(-3 - z + 3 + (4 - 1 - 1)*(-1 + 2*z + 1) - 28*z + 10*z - 33*z).\nAnswer: -672*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30063981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**3*z)\/(z*(z\/(z*z**(4\/5)))\/z)*z**(-2\/9)*z*z*z**1*((z\/z**9)\/z**(-3\/5))**4 assuming z is positive.\nAnswer: z**(-1171\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -574, -575, -552, -499, -410, -279, -100?\n\"Answer: g**3 + 6*g**2 - 26*g - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100110101010101 (base 2) to base 5\nAnswer: -1113142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*k*y**4 + 460*k*y**2 + 4*y**4 wrt y?\nAnswer: 552*k*y + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 93\/37 (b) 3\/5 (c) 1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {z: 3, a: 3, c: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7176.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32556, 32515, 32474, 32433, 32392, 32351?\nAnswer: 32310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 42. Let l(a) = a**3 - a**2 + a + 42. What is the remainder when l(0) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -198 + 196?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6860, 13717, 20572, 27425?\n\"Answer: -p**2 + 6860*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30277 and 102.\nAnswer: 181662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 16*n + 11. Let a be u(9). Let r = -1083\/7 + a. Let g = 0.03 - -0.03. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2536540106.\nAnswer: 2, 37, 97, 313, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14442 + -5?\nAnswer: -14450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*z = -80*z. Which is bigger: 2\/2295 or z?\nAnswer: 2\/2295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -dd?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-485)\/1940*(-2)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 3080 = -39*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let r be (-81)\/2673*(-1 + 7). What is the nearest to 3 in -5, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.27 - -1.37. Which is the nearest to -3? (a) d (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*p + 3*p + 59, -4*z = -5*p + 202. Let r = z + 58. Solve 9 = -r*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 87463942.\nAnswer: 1\/43731971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**5\/60 + i**4\/3 - i**3\/3 - 2*i**2 + 6*i - 8. Let t(x) be the second derivative of l(x). What is t(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 5. Suppose r = 5*r. Calculate o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.2 and 86845.1.\nAnswer: 86852.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*((sqrt(13) - (sqrt(637) - sqrt(13))) + 0).\nAnswer: 125*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-564)\/(-180) + -4 + 1. Let f = 8.9 - 43.9. Let x = -35.5 - f. Which is the nearest to -2\/9? (a) 4\/5 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(26)\/(1*sqrt(2) + sqrt(2)))**2 - (1 + sqrt(832))**2) - 6*(-5 + sqrt(91)\/sqrt(63)).\nAnswer: 14*sqrt(13) + 3439\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11306 and 63916?\nAnswer: 361317148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = -24. Suppose -5*n + 14 = -46. Let y = n + 14. Calculate the smallest common multiple of y and b.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7684, 8673, 9660, 10645?\n\"Answer: -k**2 + 992*k + 6693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t. Suppose 3*l + 6 = t, -l = -4*f - 2 + 52. Suppose -2282*a = -8450 - 2960. Solve f = -a*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7))\/c*c*c*(c\/(c*c**(4\/5)*c))\/c assuming c is positive.\nAnswer: c**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l\/l**6*l))**38 assuming l is positive.\nAnswer: l**342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 - -126. Solve 4*p - 5*i = 10, 5*p + u*i + 8 = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, -1\/4, 2059\/2, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4)*i))\/i*i**(2\/3)*((i\/(i\/(i\/(i*i*i**(-1)))))\/i)\/(i*i**8)*(i**(-7)*i*i*i**(-8))\/(i**(-1\/4))**48 assuming i is positive.\nAnswer: i**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 19. Suppose -3*l - l + 72 = h. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8258.82 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 920255.7 months?\nAnswer: 76687.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - j + 2. Let x be w(-2). Suppose -2*i - 2*r = 0, x*r + 4 = -2*i - 3*r. Solve i*q = m - 13, 3*m = -2*q + 2*m + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0999*-4\nAnswer: -0.3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -314 + 260 + (2 - -17) + -4 - (13 - -1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 8*w + 18. Suppose -14*s + 49 = 7. Suppose 0 = s*b + 6, 2*l + 28 = 6*l + 4*b. Let g be f(l). What is the highest common divisor of g and 270?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*s - 29*s + 36. Sort 5, s, 3 in descending order.\nAnswer: s, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 10*y = -15. Find the second derivative of -5*o + 2*o - 4*o + 2*o**5 + 16*o**y wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -7.\nAnswer: -7.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -140123, -0.29, 5, -0.4 in decreasing order.\nAnswer: 5, 4, -0.29, -0.4, -140123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 3 + -1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/8))\/l*l\/l**(-1\/9))\/(l*l**(-13)*l*l*l**(-2\/19)) assuming l is positive.\nAnswer: l**(14831\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289951443 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-12) - (-6)\/9. Let v = -4 + 8. Suppose -5*i - 29 = -h*s, v*s - i - 76 = 3*i. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = -3*c + 69, -4*t = 16. Let b = c + -12. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f + 5*z + 7, -3*z = 2*f + 5. Does f = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.662 + -0.338. What is the nearest to -5 in 3\/5, 0.1, 15, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13)\/2 + 0)*(45 - 47). Which is smaller: 7 or u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**20*y**9)\/(y**(-26)\/y*y**(1\/5)) assuming y is positive.\nAnswer: y**(279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 131*x + 6014. What is the remainder when b(-45) is divided by 46?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23223123 - -11?\nAnswer: 23223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164687 and 1.57981.\nAnswer: 164688.57981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23801796 divided by -220387.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 100649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5670, 5678, 5686, 5694, 5702, 5710?\nAnswer: 5718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 4*p**3 + 2*p**3)*(19 - 29 + 22)*(p + p - 4*p).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-6133096\nAnswer: -490647.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 106dc35 (base 14) in base 2?\nAnswer: 11101101111110101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15213*c. Let z(j) = -19*j**2. Calculate z(p(u)).\nAnswer: -4397272011*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let a(k) = -39*k - 10. Give g(a(c)).\nAnswer: 78*c + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 781 + -779. Sort -4\/9, -11, o in decreasing order.\nAnswer: o, -4\/9, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-9))\/(0 - -4). Let l = -29 + 31. Which is the second smallest value? (a) l (b) 1\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.1 - 30.9. Let q = -5.5961134 - 34.4038376. Let w = c - q. What is w rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/819)\/((160\/(-15))\/8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5119648 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*i**3 - 146*i**3 - 2312*i - 359*i + 295*i**3.\nAnswer: i**3 - 2671*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3357?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2682921698 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196626*z**3 - 13062*z + 10 wrt z?\nAnswer: -1179756*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4890482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437 - 214. Let k(q) = q**3 + 3*q**2 - 15*q + 20. Let a be k(-6). Suppose -a*t + 3*v + 476 = 0, m = t - v - 17. List the prime factors of t.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (1 + 2 - 0). Suppose -k = m*s - 107, 0*s + k + 173 = 5*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4053868 - -0.0015?\nAnswer: -4053867.9985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let x(p) = -81370 + 186*p**2 + 81370. What is k(x(t))?\nAnswer: -372*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*d + 16, 4*b - d + 2*d + 10 = 0. Let i(s) = -2*s - 4. Let l be i(b). Is l + ((-3)\/(-1) - -698) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, s: 2, w: 2, j: 4}. What is prob of picking 1 j and 2 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s = 78*s - 92. What is the remainder when 148 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 766 or 705?\nAnswer: 766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**4 + 12*p**3 + 32*p**2 + 12*p.\nAnswer: -4*p*(p - 3)*(p + 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195 * -2.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -2. Suppose -h = 3*f + 2. What are the prime factors of f*(-2 + 2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006791 rounded to four dps?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6965185.\nAnswer: 5, 947, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126257 + 127246 = 43*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20361665.\nAnswer: 5, 17, 421, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 265\/304? (a) -4 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -489*t + 1. Let z(v) = -489*v + 1. Let a(u) = -5*p(u) + 6*z(u). Let f be a(9). Round f to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/(s\/s**6))**(-41) assuming s is positive.\nAnswer: s**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 806.99, -3, -3\/11.\nAnswer: -3, -0.4, -3\/11, 806.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243.75 minus 94892522?\nAnswer: -94893765.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*w + 290*w + 3963*w**2 - 3960*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 27 = -3*z - 11*m, 2*m + 24 = 3*z. Solve 2*r + z = -p, -5*p - 6*r = -3*r + 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23605, -54978, -86351, -117724, -149097, -180470?\n\"Answer: -31373*j + 7768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 30*s - 31. Determine m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 0.1 (c) 1\/2 (d) 1248 (e) -29 (f) -0.4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 less than -25026.84682?\nAnswer: -25179.84682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8305, 1\/2, 2023\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39 - ((-42)\/6 + 4). Suppose -w - 10 = 4*w. Let h be 46\/8 + w\/(-8). What is the highest common divisor of c and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152557 (base 10) to base 6.\nAnswer: -3134141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -19, 0 in ascending order.\nAnswer: -19, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17440 = 1307*a - 13843 - 7927 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 55\/(-10) + 7. What are the prime factors of 4\/(-2)*g - -414?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4180 and 104531\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 130*p**2 - 3769*p - 1279. Determine h(86).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0 + 96924006\/8*(-48)\/18. Round q to the nearest one hundred thousand.\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 733*z**3 + 419*z**3 + 662*z**3 + (2 + z - 2)*(-z**2 + 0*z**2 + 2*z**2) - 4*z**2 - 2*z**3 + 4*z**2 to the form w*z + d*z**2 + f + l*z**3 and give l.\nAnswer: 1813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 8) in base 5?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/20 at most -1133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*u**2 - 2734\/3*u - 1868689\/3.\nAnswer: -(u + 1367)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26*b\/b**(2\/29))\/(b**(-1\/12)*b*b**(-7\/5)) assuming b is positive.\nAnswer: b**(47701\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1700) + sqrt(1700) - sqrt(204)\/(sqrt(12)*2))**2.\nAnswer: 59177\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*x - 15, -5*w + x = 951 - 925. Let t = 173\/70 + -19\/10. Which is the smallest value? (a) w (b) 1.4 (c) t (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26524, 53563, 80602, 107641, 134680?\n\"Answer: 27039*l - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let y(d) = -2*d. Let a(m) = -5*x(m) - 2*y(m). Let u(o) = -1. Calculate 2*a(b) - 2*u(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 16*g + 450. Let n be z(-29). Let o(k) = -6*k**2 - 7*k - 7. Let w(f) = 2*f**2 + 2*f + 2. What is n*w(q) - 4*o(q)?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2)\/(-7) + (-30)\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/4 - 1). Let u = l + 40. Calculate the smallest common multiple of 32 and u.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 9*w**2 - 19*w + 9. Give z(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*b**3\/5 - 1298*b**2\/5 - 12592*b\/5 - 26656\/5.\nAnswer: 2*(b + 4)**2*(23*b - 833)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802031777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 9. Sort d, -5, -1, 5 in increasing order.\nAnswer: -5, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.841\nAnswer: -1.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -481 * 5.\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 68. Let f = 0.02 + 5.98. Which is the nearest to -0.1? (a) j (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 13, u: 6}. What is prob of sequence uu?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651209, -1302419, -1953633, -2604851, -3256073?\nAnswer: -3907299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 464*x - 461*x - 843. Suppose -5*d = -v - 240, 2*v + 2*d + 151 + x = 0. What is v rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-4))\/(2\/8). Let a = o + 41. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/((-4)\/(-84)*-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9386.7708+-0.5\nAnswer: -9387.2708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410766.\nAnswer: 2, 3, 223, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*u + 62 + 16, p = -5*u - 130. Which is the second smallest value? (a) -4\/3 (b) 4\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 7*k - 8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 2, l: 1}. What is prob of sequence bwb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1219*t**2 + 446*t**2 + 579*t**4 + 187*t**4 wrt t?\nAnswer: 18384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 19 = -12*s - 15*q, 5*q = -2*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (-7 - -11) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7332 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfqw when four letters picked without replacement from {w: 3, u: 1, q: 6, v: 4, f: 2, i: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**3 - 9*z**2 + 9. Let j(g) = 0*g**3 + 4 + 8*g**3 - 3*g**3 - 4*g**2. Suppose 0*f = f - 9. What is f*j(l) - 4*x(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 2. Let k(u) = u. Let t(h) = -h**2 + h + 1. Let m be t(0). Let r(b) = m*q(b) + k(b). Differentiate r(o) with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 4 = -5*w. What is the units digit of (1\/2 - 1)\/(w\/(-196))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -6318 - -10468. Let f = 2119 + h. Round f to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, 31, 0, 1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 252 = 66*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 10*f + 11. Is 5 a factor of r(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 34*s**3 - 8*s**2 + 23*s - 16. Let i be u(2). Solve -6*k + i = 276 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zza when three letters picked without replacement from {z: 3, a: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/((-3)\/(-6)). Suppose x - 16 = -q*c + 2, -2*c + 12 = 2*x. Suppose -3*b + c*b - 6 = 0. Solve 0 = -3*r + b + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 49*l - 4*p = 8, -3*p - 2 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.33 (b) 218 (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221963379 or 221963380?\nAnswer: 221963379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 64*v - 320.\nAnswer: 4*(v - 20)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**3 - 5*y**2 + 3*y - 9. Is o(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 19, -539 in increasing order.\nAnswer: -539, -9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5144 greater than or equal to 5144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 0*q**4 + 3*q**4 + (-2*q**3 + 0*q**3 + q**3)*(-9*q - 3*q + 3*q).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 7*r**3 + 3*r**3 - 2*r.\nAnswer: -4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.07 + 0.97. Let i = h + 3.6. Let f = 9 + -8. What is the closest to f in -0.1, 4, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20751.\nAnswer: 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*v - 4610 + 50 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 829602 and 80229.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2200 bigger than -2200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1171497 - -0.881\nAnswer: -1171496.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 126?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(209)*1 + sqrt(209) - sqrt(209)) + sqrt(209))*5)\/(sqrt(66)\/sqrt(24) + (sqrt(11) - (1*sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(7))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549198 is divided by 36588?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*o**2 + 4646*o - 13530 = 0. What is o?\nAnswer: 123\/40, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 + 9*p**2\/2 - 12*p + 1792. What is g(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(2090\/(-60)))\/(30\/(-15)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9 + 11 = 0. Suppose 0 = 3*z - z + 4*x + 36, -y*x - 90 = 5*z. What is the units digit of (-84)\/z + (-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15706718, -15706712, -15706704, -15706694, -15706682, -15706668?\nAnswer: -15706652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 1848584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -217 - 323. Suppose -5*o - 2*x + y = -7*x, 4*o - 2*x = 148. Calculate the remainder when o is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1 - 35) + -8 + 2 + 23 + -12?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + t - 3 = q, -8 = -3*q - 2*t. Let w(h) be the first derivative of 3*h**4\/4 - h**3\/3 + h**2\/2 - 2*h - 2. Let c be w(q). Solve 0*y - c = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -187, -602, -1005, -1390, -1751, -2082, -2377, -2630?\n\"Answer: g**3 - 422*g + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*y - 27405, 0*y - 5*j = 5*y - 45650. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-44))\/(180\/2970)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (387\/(-31734))\/(14\/84).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 2*d - 7. Let x(h) = -2*h**2 + 2*h + 6. Let f(c) = -2*c**3 - 41*c**2 - 19*c + 27. Let g be f(-20). Determine g*x(y) + 6*p(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489972 to the power of 1\/2, to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/4 - 15*n**2\/8 - 249*n\/8 - 15.\nAnswer: 3*(n - 8)*(n + 5)*(2*n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626043, -2504162, -5634359, -10016634, -15650987, -22537418, -30675927?\nAnswer: -40066514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 266. Suppose 3*s = -s - 2*k + 438, 2*s = 3*k + m. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546 by 3.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -353604?\nAnswer: -353600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 2*w**4 + 3*w**4 + 0*w**2 + w**4 + 0*w**2 + (2*w - 2*w + w**2)*(2*w**2 + 2*w**2 - 6*w**2) - 4*w**4 - 5*w**4 + 8*w**4.\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -12210211?\nAnswer: 12210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 + 21)*(2*x - 50 - x - 3*x) to the form c*x + u and give u.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0432916 rounded to four dps?\nAnswer: -0.0433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 544633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*f, -5*f + 7 = q - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14221 in 1\/3, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*j + 27*j. Let b(p) be the first derivative of 1\/4*p**2 + 1 + 1\/12*p**3 + j*p. Factor b(s).\nAnswer: s*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -18 + 374*h - 125*h - 122*h - 130*h. Give d(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4225505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30938579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1192 divided by -4\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 36217739*p + 36217739*p.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = -w + 5*y + 17, y = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axa when three letters picked without replacement from {a: 3, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 3*t - 4*t)*(3 - 10 - 9)*(-3*t - 4*t - 4*t).\nAnswer: 704*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 = 4*l, -56*a = -5*l - 60*a + 31 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2258*b + 2250*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266447 and 2062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from upcchhruhuukucuupu?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 3*t. Let k be 10\/4*(t + 0 + 1). Solve -6*y - 2 = -k*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/((-31)\/1178). Suppose o = -g*o + 32160. Is o a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:54 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/11)*l)*l)\/(l\/(l**(-3)*l)))\/(l**(-2\/15)\/(l*l**(-9)*l*l))*(l*l*l\/(l*l**(-5))*l*(l**6*l)\/l)\/(l**7\/l*l**(1\/5)) assuming l is positive.\nAnswer: l**(-41\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17504562 is divided by 1012?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50574, 50575, 50576?\nAnswer: 50577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 85 = -2*n, 4*w + 20 = -2290*n + 2293*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2. Let c be m(2). Suppose 5*u - 96 = -2*b - 2*b, 96 = 4*b - 4*u. What is the greatest common divisor of b and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902645.\nAnswer: 3, 5, 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5d + -2441?\nAnswer: -31a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3 - (-9 + (2 - 3) + 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.20821, 4\/13, -1\/23.\nAnswer: -0.20821, -1\/23, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 952302823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)*f*f\/(f*f**(-2)))**25 assuming f is positive.\nAnswer: f**(525\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 12*v**2 + 5*v - 3. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8746 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 13. Let w be r(-3). What is the second derivative of -3 + 276*f - w*f**2 + 4*f**2 - 8*f**2 - 287*f wrt f?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*g*k**2 - 2*b*k + 2*b*u - 182*g*k**2*u - 2*g*u + k**4*u - 47*k*u wrt k?\nAnswer: 4*b*g - 364*g*u + 12*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.2986 - -0.0014. Let j = 20.2 - r. Which is the smallest value? (a) 20 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*f = f - 452, -2*f + 1109 = 5*k. Let j = k + -93. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*n**2 - 20*n**2 + 3*n**5)*((3 - 3 - 2)*(0 + 0 + 2) + (-1 - 4 + 0)*(-4 - 1 + 4)).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/2 - 5813*v**2 - 46478*v - 69708 = 0.\nAnswer: -11618, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 247*m + 250*m - 492*m = i + 129, -2*i - 2*m - 136 = 0 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y. Let m be x(1). Let f = -10 - m. Let q be (-2)\/(-92)*(-2)\/(-1). Which is the third smallest value? (a) -2 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91.9 times 1343\nAnswer: -123421.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*352\/8*(-255)\/(-1020).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3 + 6 + 6 = 0, 12*j - 23*j = -3*z + z + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111369868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24558 - -24516 - (0 - (0 - -2))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6)*-23)\/(((-2)\/(-34))\/((-438)\/(-3723)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 9 = 5*m. Suppose -v + i + m = -7, 0 = -2*v - 4*i + 34. Let z = v - -64. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -1 - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 28 + 20. What is the third derivative of -12*j**d - 21*j**4 + 7*j**2 - 5*j**2 wrt j?\nAnswer: -504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/196 and 85\/2128?\nAnswer: 14896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 371*r**2. Let p(q) = 130*q**2 - 60*q - 15. Let x(n) = -18*n**2 + 8*n + 2. Let h(v) = 2*p(v) + 15*x(v). What is h(l(g))?\nAnswer: -1376410*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -6113*m**5\/5 - 3214*m**2 + m - 8492. What is the second derivative of t(f) wrt f?\nAnswer: -73356*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4 - w + 0*w**2 + w**2 + w**2 - w**2. What is the least common multiple of 1300\/221 - 6\/(-51) and b(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 4311*t - 8628.\nAnswer: 3*(t - 2876)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**9\/f*f*f)\/(f*f\/f**(-1\/2)))**18 assuming f is positive.\nAnswer: f**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x + 74 = -2*u, 0 = -x + 2*u + 10. What is the third derivative of -16 - 18*b**2 + 21*b**5 + 124*b**5 + x wrt b?\nAnswer: 8700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)*a)**(-20\/3) assuming a is positive.\nAnswer: a**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 - 7 = -5*o, 4*o - 2 = -c. Find the first derivative of -106*w**c + 106*w**2 - 12 - 13*w**4 wrt w.\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14707 + 264587\/18. Find the common denominator of s and -143\/786.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pycpppkep. What is prob of sequence kpy?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 64 = -2*y, -3*y + 136 = -5*u + 3*u. Let c = 7 + 14. Calculate the highest common factor of y and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141.6 + -142. Let p = -1 + 5. Suppose 0 = p*i - 20, -f - 2*i + 13 = 3. What is the second biggest value in 1\/2, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/4 + 19*h**3\/3 - 4*h**2 + 12*h - 18. Let f be a(18). Find the second derivative of -18*l - f + 5*l**3 + 192 wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 456 = 0. Let p = -524 + 638. Does p = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2702 (base 15) to base 2.\nAnswer: -10000010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 11652\/54)\/((-29)\/522). What is the highest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**4\/12 + m**3\/6 + 2*m - 1. Let n(b) be the first derivative of o(b). Solve n(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1189973\nAnswer: 2\/1189973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11292 - 11258. What is the remainder when 14346 is divided by u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 9*d - 1. Suppose -z - 3*z - 20 = -4*c, 3*c - 7 = 2*z. Let h be o(z). Calculate the lowest common multiple of 20 and h\/6*-2 + 11.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.683867 to 2 decimal places.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 6. Let w(c) = -4*c - 5. Let x(g) = 3*p(g) - 4*w(g). Let k be x(5). Let b be 6\/((-2)\/((-4)\/3)). Solve -k = b*o + 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 10*z**2 + 23*z + 15. Calculate s(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -137. Calculate the remainder when ((-3)\/4)\/(3\/(-84)) is divided by (d + (-14)\/7)*22\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10835 and 0.5.\nAnswer: -5417.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -2*sqrt(1872)*1 + sqrt(1872) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003 (base 4) to base 7.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21459961 is divided by 152?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:59 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*w = 6*w. Solve -4*d - 16 = j - w*j, 3*d = 2*j - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1379 and 61425782.\nAnswer: 429980474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 4 - 3)*(8*o + 2*o - 5*o) + (3*o + 2*o - 4*o)*(2*o - 6*o + o) - o - 2*o**2 + o.\nAnswer: -10*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-1)\/4*4. Let w = s - -8. Suppose 2*r = 3*k + 6*r - 16, 2*k + 2*r - 10 = 0. Solve k*y + w = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3684.997 - -3683. Let n = i - 0.003. Let d = 3 - 3.2. Which is the closest to 2\/7? (a) -10 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/4 + (-4)\/16. Let o = -4 + t. Solve 0 = -o*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-15) - (-8)\/2. Suppose 3*w + 3 = 0, -v*f + 0*w = -w - 3509. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-98 - (15 + -3 + -2)) + (-45 - -38))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, u: 1, g: 2, i: 1, x: 1, e: 3}. What is prob of picking 1 g and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 14) to base 16.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/12594 and -67\/8.\nAnswer: 50376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -291*b - 1. Suppose -2*t + 6*t - 3*q = -4, -3*t - 3 = 2*q. Let h be g(t). What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12687838840 rounded to the nearest one million?\nAnswer: -12688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784588, -784586, -784584, -784582, -784580, -784578?\nAnswer: -784576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5 = -3*p, -3*p - 7*x + 4*x = 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 16*d = 0. Solve d = -4*u + 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33849, -135400, -304639, -541554, -846133?\n\"Answer: 2*p**3 - 33856*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1045 and 5783140?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-9)*3\/24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 438594618.\nAnswer: 2631567708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 535, 577, 667, 817, 1039, 1345?\nAnswer: 1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(12\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 395535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:11 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 23*x + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*v**4*z**2 - 3*v**4 + 19379*v**3*z - 26*v**2*z + 3*v**2 + 373*v + 5*z**2 wrt v?\nAnswer: -120*v*z**2 - 72*v + 116274*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -376, 2, 4, -4, -2, -23 in decreasing order.\nAnswer: 4, 2, -2, -4, -23, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164.0000056 - -164. Round z to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 335*w**2 + 5*w**6 - 3*w**3 - 2*w**6 - 45*w**2 wrt w?\nAnswer: 360*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 21096*u + 105509. Calculate f(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*w - 1034, w + 2*w - 1521 = -3*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*n - 30, 2*n - b = 9 - 28. Let s be 0 + 4 + (-20 - n)\/6. Solve i = -s*w, 0 = 5*w + 1 + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75.6848 - 0.6848. Let l = 29671 - 29745.957. Let m = s + l. What is m rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23093, 92006, 206861, 367652, 574373, 827018?\nAnswer: 1125581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16918 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/5)\/(o\/(o\/o**(2\/5))))\/(o*o**(-8)*o*o**(-5)*o))\/((o\/(o*o*o*o**(-9)*o*o))\/o*o\/((o*o**(1\/2))\/o)*(o**(2\/7))**(1\/24)) assuming o is positive.\nAnswer: o**(2053\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 276*a - 78 + 147)*((-5 + 2 + 1)*(-4 - 4 + 7) - 3 + 3 - 2 + 4 - 5 + 3 - 6 + 0 + 1 + 0 - 1 + 0).\nAnswer: -1104*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -6 - -8) + 32\/(-3). Suppose z*y + y**4 - 2\/3*y**3 + 1\/3*y**5 - 2*y**2 + 1 = 0. What is y?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 16610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-180)\/172 - 99880\/(-48805)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y. Let g(k) = 4 + 2*k - 4. Let t(l) = 6*f(l) + 14*g(l). Let n(x) be the third derivative of x**4\/24 - x**2. Calculate n(t(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79191, -316779, -712761, -1267137, -1979907, -2851071, -3880629?\n\"Answer: -79197*v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*d + 74*d - 24*d**2 + 43*d + 147*d - 22*d wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14225 + 9439 = -1972*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 9:03 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 - -84. Suppose -5*w - w = -f*w. Solve w*b - b = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17675 = -2*o + 3*x - 17683, -2*o + 4*x = 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -549 divided by 11?\nAnswer: -549\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 59*f - 720, 91*f - 2*t = 86*f + t + 51 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787242027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {r: 1, g: 2, j: 1, u: 1, l: 1, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 1. Let n(g) = -g + 1. Let t(y) = -n(y) - o(y). Let k(u) = -u - 2. Give -6*k(r) + 7*t(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 4*v)*(-2 - 2 + 6) - v - v - 2*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*o + 2*o + 8, 124 = 5*o + f. Suppose 3*p - 69 = -o. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10131025*w + 8943316 with respect to w.\nAnswer: -10131025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -98?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28407*o**4 + 11*o**2 - 31*o + 52?\nAnswer: 681768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 0.1 (c) 448 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/(-840))\/((-1058)\/264 - -4) and 169\/300?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.226054 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49950\/(-58500) - 30\/(-195).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 952 divided by -119\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1475814*d**2 - 790138*d wrt d.\nAnswer: -2951628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3120, 12409, 27848, 49407, 77056, 110765?\n\"Answer: -5*u**3 + 3105*u**2 + 9*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (800*f - 136*f + 33*f)*(2 + 0*f + 2*f - 5*f).\nAnswer: -2091*f**2 + 1394*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.059238 kilometers to nanometers.\nAnswer: 59238000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*n = 2*n, r = -3*n + 8. Suppose -12*b + 13*b - 9 = 0. Suppose 0 = -7*y + b*y. What is the smallest value in y, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(1\/8)\/o))\/o)\/((o\/(o\/(o**(3\/49)\/o)))\/o) assuming o is positive.\nAnswer: o**(1103\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22002 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488 = 143*g + 43*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndnnnnnnd. Give prob of picking 1 d and 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 174799333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, b: 2, m: 8, o: 6}. Give prob of sequence onor.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Solve 1 = -d*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15322093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80712 and 23541.\nAnswer: 564984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2875, -3432, -9739, -16046?\n\"Answer: -6307*z + 9182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -55*k**2. Let f(v) be the first derivative of 0*v + 0*v**2 + 2\/3*v**3 - 108. Determine l(f(w)).\nAnswer: -220*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 + 0.01. Let b = c - -0.2. Let a = -15 + 18. Sort b, a, -1\/2 in ascending order.\nAnswer: -1\/2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552671484?\nAnswer: 2, 7, 13, 29, 147089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*j + 8 = -20, 4*b - 2*j = 98. Solve 5*t = -b, 4*r - t = -r + 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 65*k - 42. What is x(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153921?\nAnswer: 3, 51307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16786)\/(-9592)*(-3)\/((-21)\/104).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -1 + 11. Suppose -i*q = 3*q - 560. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -11*f**6\/15 - 17*f**3\/6 - 2*f. Find the second derivative of d(k) wrt k.\nAnswer: -264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 2*c - 3. Calculate the remainder when h(-6) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(((-4)\/5)\/(32\/(-80)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k. Let t(d) be the first derivative of 5*d**2\/2 + 14. Give g(t(p)).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/187 (b) 44\/9 (c) 7 (d) 2\/9 (e) 3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/5 + 784*g**3 - 576240*g**2 + 188238400*g - 23059204000.\nAnswer: -2*(g - 490)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*a**4 - 13*a**2 + 7974*a wrt a.\nAnswer: 840*a**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 819570 and 153?\nAnswer: 2458710","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/12192257 and -67\/35?\nAnswer: 60961285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*x - 5*y, -2*y + 30 = -0*x + 2*x. Suppose -52 = -x*h + 3. Solve 0 = 5*o - 0 + h, 0 = -g - o - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -315, -2529, -8553, -20295, -39663, -68565, -108909?\n\"Answer: -318*f**3 + 3*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7596, 29840, 66926, 118866, 185672, 267356, 363930, 475406?\n\"Answer: 2*u**3 + 7409*u**2 + 3*u + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 3*b**2 - b + 2. Let f be n(-3). Let y = 5 - f. Suppose y = -3*u + u + 88. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*d = 20, 0 = -18*o + 16*o + 2*d + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6059991l to millilitres.\nAnswer: 605.9991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.1 + 3.8. Let z = -1 + 1. What is the biggest value in z, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -11\/140, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -13. Let y be (-1)\/((x\/2)\/5). Let d be (13 - 17)*y\/(-4). What is the nearest to -6 in 3\/5, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + 582. Let s(m) = 1 - 3*m**3 + 4*m**3 - 213*m - 211*m + q*m - 215*m. Give s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-241278624.\nAnswer: -48255724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 208*m**2 + 2*m - 1. Is g(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 0.03 (b) 162 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17.8, 158, 3\/8, 0.3, 395?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5635.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 137\/(3014\/792) - 6\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697468.77s in hours?\nAnswer: 193.741325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-16) + 1413\/(-1520) + (-198)\/1254?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33627*o - 16880*o - 16747*o + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 704597199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 18. Let o be j(3). Let f = 34 - o. Calculate the highest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 3 - 3*h + 0 + (-4 + 1 + 5)*(-2*h + 0*h + h))*(-4*h + 2*h - h) as q + c*h + z*h**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + u - 107. Let t(j) = 2*j**3 + 2*j**2 - j + 107. Let r(f) = -3*m(f) - 2*t(f). Does 27 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:39 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - j**2 + (-2*j + j**2 + 2*j)*(-2 + 3 + 1) + (0*j + 2*j - 4*j)*(2 - 2*j - 2) + 3*j**2 - 6*j**2 + 4*j**2 - 272 + 23*j**2 + 272.\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*a, 4*y + a = -3*a. Solve -5*p - 5*v - 10 = y, 2*p + 6 = -p - 5*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -175 - -6b?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + 12 + -15) - -12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 39. What is the third derivative of -7*f**2 + 0*f**3 - i*f**2 - f**3 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 16.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose -8 = 2*k + 5*f - 22, s*k - f - 2 = 0. Suppose l = -c + 5*c - 36, k*l = -3*c + 27. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -43. Calculate the highest common divisor of f and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3718 = -84*h + 75914. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 166, 147, 110, 49, -42?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008955554 to the power of 1\/2, to the nearest integer?\nAnswer: 31764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 80*q**3 - 325*q**2. Let d(n) = -n**3 - 5*n**3 + 3*n**3 - 2*n**2 + 14*n**2. Let b(y) = -55*d(y) - 2*f(y). Factor b(m).\nAnswer: 5*m**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-20)\/(-5) + -6. Suppose -5*h + 5*r + 250 = d, 0 = 3*h - 4*h + 5*r + 54. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -1328?\nAnswer: -1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -12.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 169023\nAnswer: -1\/56341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.26 or -72\/59?\nAnswer: -72\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 355371412 a multiple of 1373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:11 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 4*g. Let a(n) be the first derivative of -1\/3*n**3 + 3\/2*n**2 - 35 + 0*n. Give -5*a(z) - 4*p(z).\nAnswer: -3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 50. Let y = w + -20.93. What is y rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 11201?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -5, -0.34, 25, 2\/497, 1 in decreasing order.\nAnswer: 25, 1, 2\/497, -0.34, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 684 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:09 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6573764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 13*t**2\/2 + 29*t - 1266. Let h(j) = 2*j. Give a(h(x)).\nAnswer: 26*x + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p - f + 7, -2*p = -f - 15. Calculate the greatest common divisor of p and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-320)*-38*-12?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/37)\/w*w**(-23\/2)\/w)\/(((w*w\/w**(6\/5))\/w)\/(w*w**(5\/17))) assuming w is positive.\nAnswer: w**(-75857\/6290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1164 - 1158. Solve -5*f + y = g, 2*y = f + 2*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 3*g. Let m(f) = -f - 1. Determine m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/1*(-159)\/318*(-7)\/8\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*c + 281*c + 43*c - 49*c + 214*c in the form g + o*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10665350 to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -31 + 11 - (0 - (42 - 6))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (3 - 3) + 20. Let i(k) = -k - 4. Let r be i(2). What is the tens digit of o*(-8)\/60*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835 - 16*f**2 + 3726 + 15*f**2.\nAnswer: -f**2 + 4561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + 1.3. Let y be (6\/9)\/((-10)\/6). What is the nearest to i in -2, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87491817 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1605\/(-1284)*(-9)\/(-135)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -8 in increasing order.\nAnswer: -9, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43830 and 237.\nAnswer: 3462570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 51. Let c be o(-16). Suppose -p = 4*z - c*z - 5, 3*z = -5*p + 25. Solve p*t - 11 + 36 = -3*g, -4*g - 5 = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4869610563*q**5 + 34090658217*q**4 + 23690520*q**3 + 4116*q**2 = 0.\nAnswer: -7, -14\/40289, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 5. Let g be r(-9). Suppose 0 = -g*m - 56 + 64. Suppose -2*j + m = 2*p, 3*j = 4*j + 4. Which is the nearest to -2\/7? (a) -5\/3 (b) 2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113a (base 13) to base 12.\nAnswer: 2a555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*x + 9 = x, 5*x = 15. Suppose -2*i = -j*w + 2*w + 4, 2*w + 7 = -5*i. What are the prime factors of (-5 + -37)*w\/2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7*d + 910. What are the prime factors of d?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 1859*l\/6 - 310.\nAnswer: (l - 1)*(l + 1860)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 18 = 2*y + 4*t, -t = 3*y + 3. Put y, 8, -159, 3 in decreasing order.\nAnswer: 8, 3, y, -159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -238.67 and 0.6?\nAnswer: -143.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 - 4. Let a(c) = 49*c**2 + 126*c - 126. Let g(k) = -3*k**2 - 8*k + 8. Let d(b) = 4*a(b) + 63*g(b). What is d(m(l))?\nAnswer: 847*l**4 - 616*l**2 + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:47 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7975405 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208083829.\nAnswer: 23, 9047123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 1260 = -99*b. Let x = 0.8 + 0.2. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111756 is divided by 37242?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143989239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/23, -3, -9, 3.6, -5, 4\/9 in descending order.\nAnswer: 3.6, 4\/9, 3\/23, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(12)\/sqrt(2) + sqrt(6))\/(sqrt(324)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:57 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 949*o + 1004 - 2729*o + 1338*o wrt o?\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 + 0.6. Let u = -1 - -0.7. Sort c, 3, u in decreasing order.\nAnswer: 3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 6 - 10. Let -4\/11 + 2\/11*r**d + 10\/11*r - 6\/11*r**2 - 2\/11*r**3 = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than -1657646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/11)\/((q\/q**7)\/q*q)*q**(3\/5)*q\/q**(-3) assuming q is positive.\nAnswer: q**(578\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1103202 bigger than -1103204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Factor m**3 - 3*m - m**4 + m + l*m + m**2 - 2*m.\nAnswer: -m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(1170\/(-96))*(-750)\/100.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119\/8 - 349\/24. Which is the fourth smallest value? (a) 2\/3 (b) -0.2 (c) p (d) -9.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1036 + 1036.2. What is the closest to -0.12 in -0.3, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/120 + f**5\/12 - 5*f**4\/24 + 4*f**3\/3 + 5*f**2. Let x be c(-6). Solve 0*i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let n(k) = -2*k - 15433208. Give p(n(y)).\nAnswer: -6*y - 46299624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 3 (c) -2.8 (d) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*s + 45*s + 672 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -66. Suppose -3*n + 3*p = -u + 6, -5*n = -p - 14. Suppose -q**2 - q**2 + q**2 - q**n = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o - 6. Calculate the lowest common multiple of u(-7) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i - 4*i - 10*i + 0*i as k*i + z and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -468*a - 3280. Determine r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 271194 and 135597.\nAnswer: 271194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 4. Let u be g(3). Suppose 0 = 5*p + 4*q - u, 0 = -p + 4*q - 5 - 5. Solve p*r = 4*t + 12, 0 = -2*t - 5 - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -958, -1397?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8 + 2 - 2 - f. Let o be q(-9). Sort 0, o, -3.\nAnswer: -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03335117 rounded to 4 dps?\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188754, 754983, 1698698, 3019899, 4718586, 6794759?\nAnswer: 9248418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 7632.\nAnswer: 61056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -74, -168, -300, -470?\n\"Answer: -19*a**2 + a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i = 86 + 121 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + c + 10 + 0*c + 0*c - c - 3 - 2*c + 3 + (0 + 2 - 1)*(-c - 2 + 2).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1541, 2\/15, -3\/8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/60 + h**3 + 8*h. Let o(v) be the second derivative of r(v). Let y(j) = -2*j. What is y(o(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w - 3426 + 36186 = 40*w. What is the remainder when w is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17416291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 - 4. Let z(u) be the third derivative of 2*u**5\/15 - 2*u**3\/3 - 2*u**2. Let n(l) = 4*c(l) - 5*z(l). Factor n(g).\nAnswer: -4*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26843 and 1700.\nAnswer: -25143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 29043?\nAnswer: -29046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1593010*-4.\nAnswer: 6372040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(18)\/(sqrt(24)\/sqrt(4)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3042538413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(45\/6))\/((-28)\/105).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/95, -3\/5, 4?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1440) + sqrt(1440)*-2*-5 + sqrt(1440)))\/(sqrt(24)\/(sqrt(72)\/sqrt(6)) + (sqrt(200)\/sqrt(4) - sqrt(2))).\nAnswer: -144*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a2 (base 12) to base 14.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(16)\/sqrt(4))*-3.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 17 - (40 - (99 - 28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 78?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6) + (1490\/60 - 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**2\/2 + 16*r - 11. Let s be j(13). Suppose -s*n + 0 = -3. Let x(m) = -m. What is x(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5 - 2 + 1 - 1 + 2 - 3 - 1 + (-1 + 2 + 0)*(2 - 4 + 3) + 1 + 1 - 1 - 2 + 1 + 0 - 2 + 2 + 1)*(3*c + 2*c - 4*c) - 2*c + 4*c + 3*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*p**2 - 835*p + 803*p - 160*p**2.\nAnswer: -2*p**2 - 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187 - -275. Let h(j) = 3*j + 27. Let i be h(-8). Let c be ((i - 4) + 12)*1. Calculate the highest common factor of f and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*w**4 - 26220*w**3 - 17492*w**2 - 2916*w.\nAnswer: 4*w*(w - 729)*(3*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/25 - -419\/200. Find the common denominator of w and (-374)\/(-180) - 1\/5*-1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l + 4*o - 46, -2*o + 48 = 4*l. Suppose z = 3*c - 5*c - 2, c = 2*z - 6. Let g = l - z. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y + 17. Let r be (3\/6 + 0)*0. List the prime factors of i(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 532276 and 532277 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/33 and 46\/77?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6794283893 - -684?\nAnswer: 6794284577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5 + 7, 5*z = 5*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217060, 434199, 651338, 868477, 1085616, 1302755?\nAnswer: 1519894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 4. Let h be t(-2). Let m(r) = -3*r - 2. Let y be m(h). Suppose y*i = 45 + 11. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4147*v + 18. Let n(a) = -4148*a - 17. Let f(d) = 6*n(d) + 5*p(d). Let b be f(-4). Suppose 3*x + b = x. What is x rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*m = -163*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 136523, -3.\nAnswer: -3, 4, 5, 136523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*n - q, 5*n - 59 + 24 = 4*q. Suppose 3*o - 21 - 9 = 0. Calculate the lowest common multiple of n and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjj when three letters picked without replacement from {v: 11, j: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 8*n - 3. Suppose -6*m - 20 = 22. Calculate a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from lzxeecl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f**4 + 2*f**3 + 901*f + 12531 wrt f.\nAnswer: 28*f**3 + 6*f**2 + 901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 4. Suppose 5*i - 8 = d. Suppose -v + 0 = -i. Solve -4*a + 18 = -5*c, -4*c = a + 4*a - v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2040 is divided by 541?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 1:10 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 2 - 2)*(-1185 - 2308 - 4152 + 2343) to u*r + z and give u.\nAnswer: -10604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0766957 rounded to four dps?\nAnswer: -0.0767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8. Suppose -3*n - n + 12 = a. Solve 0 = -4*q + 4*c + 12, -n*q - 5*c - 7 = -6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1532 - -1537. Which is the closest to 0.2? (a) 2 (b) v (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 788781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2514*d + 4151*d + 3 - 2519*d - 8 to k + s*d and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 1018 = -284. Suppose p - t = 54. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 698 divide 496976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 47\/(-4) - (-8)\/(-32). Let d = y + 15. Solve 3*c**d - 11*c + 11*c - 3*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965261 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 1. Let d be ((-18)\/8)\/((-3)\/(-16)). Let n be d\/28 - (-184)\/(-28). Let q(z) = -z. Give n*q(b) - 2*c(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l**3\/2 + 14610*l**2 - 30497331*l\/2 + 4355569 = 0 for l.\nAnswer: 2\/7, 2087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**3 - 2301*d**2 = 0?\nAnswer: -767, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1514 + 1516. Let g(x) = -56*x + 112. Let t be g(d). Find a, given that t - 4\/5*a + 4\/5*a**2 - 1\/5*a**4 + 1\/5*a**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - 11 = 0. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -58922?\nAnswer: 58933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:27 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o + 10. Let s(w) = -10*w + 9. Let r(u) = 4*p(u) - 5*s(u). What is the remainder when r(8) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 + -197.6. Let d = -18.2 + 16.2. Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*x = 91, 0 = -31398*p + 31400*p - 0*x - 2*x + 86 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -3. Let s be 4\/(-8) - v\/4. Let a(r) = -6 - 6*r - 2*r**s + 0*r**2 - 3*r**2 + 4*r**2. Give a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-1 - 9) + (-15 - -20) + (6 - 15)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 9. Let d be v(6). Let w(k) be the first derivative of k**2 + 0*k + 1\/3*k**3 - 2. Calculate w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8574*v + 8571*v = 198 for v.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c. Let w(p) = -p**2 - 7*p + 2. Let s be w(-5). Let m(t) = 3 - 3 + t + 1. Let i(d) = 14*d + 12. Let f(a) = s*m(a) - i(a). Give f(l(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/132 and 89\/15.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10582418 * -0.2.\nAnswer: 2116483.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*((2 + 1 - 2)*(-4*o + 0*o + 3*o) + 2*o + o - o + 0*o - o + 3*o) to s + j*o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1965241*s - 11791468. Calculate u(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i + 0*i**3 - 2*i**2 + 19 + 1\/30*i**5 + 0*i**4. Let h(j) = -21*j**2. Calculate h(z(v)).\nAnswer: -84*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 2*o**2 + 2*o**2)*(-o - 3*o + o) + (26*o**3 + 1409 - 1409)*(2 - 1 + 1) in the form a + v*o + x*o**3 + t*o**2 and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 6*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3360\/18)\/(-20)*(1 - 13). Is 112 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -84, -174, -322, -540?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:48 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 3. Let n(h) = -h - 13. What is -2*b(l) - n(l)?\nAnswer: -l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17.1, -444\/5, -0.6, -0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 380, 751, 1122, 1493?\n\"Answer: 371*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*o - 31263 + 6588. Let p = o + 4939\/7. Calculate the common denominator of p and -103\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7288732782 rounded to the nearest one million?\nAnswer: -7289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -219. Let y = w + -103. Let n be 2 - (3 - (2 - 1)). Solve y = -u + 5*u - p, n = -2*u + 3*p + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(144) + (sqrt(144)*2 - sqrt(144)) + sqrt(9)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18473? (a) 0.0523 (b) 1\/4 (c) 6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507 divided by -72.\nAnswer: 169\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 757 - 751. Sort -11, l, -5 in descending order.\nAnswer: l, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 c, and 1 n when four letters picked without replacement from {n: 1, c: 2, s: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287718 a multiple of 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9085280 + 9085282.0000003. Let y = 3 - 5. Let g = y + f. Round g to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3 - -75) + (-1728)\/(-18) + -96.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 983950867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15812033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13156185 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o + 2198. Let k(l) = 34*l - 6626. What is 5*k(g) + 14*q(g)?\nAnswer: 2*g - 2358","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3\/3 + 112*z**2\/3 + 848*z\/3 + 1664\/3 = 0.\nAnswer: -104, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 684*a - 14992. What is p(22)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -55. Sort 5, f, -5.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132671.4 hours in milliseconds?\nAnswer: 477617040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.52 + 23.32. Let f = 22.1 + -2.1. Let m = f - s. Round m to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 + 4. Let y = -1.1 + o. Sort 2, y, -2\/15 in descending order.\nAnswer: 2, -2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 588 - 485 = 4*b, -4*i + 271 = -b. Suppose 0 = 5*v + 25, -2*h + 22 = -4*v - 0. Is -4*h\/(-3)*b\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5354? (a) -0.5 (b) 1\/9 (c) 5.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*y = -4 + 9, 5*m = -y + 30. Let b(g) = -g + 6. Let x be b(3). Suppose -o = x*o. Solve -25 = m*r, 2*t - 4*r - 20 = -o*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/(-1326)*14\/49)\/(-1)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 10*d**2 - 20*d + 6. Give s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**3 + 60*b**2 + 346*b - 195. What is i(19)?\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*l**2 + 12*l**2 + 23*l**2)*(-l**3 + l**2 - l**2).\nAnswer: -63*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*d, -d = 3*o + d + 19. Let i = 1 - o. Suppose 7 = -i*p + 79. Calculate the remainder when 52 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 7*r**2)*(-1 + 4 - 1) + r**2 + 2*r - 2*r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -o - 6, 8*o = 3*o + 5*n + 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - y + 3*y)*(4 - 2*y - 4).\nAnswer: -4*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3758, 3761, 3764, 3767?\nAnswer: 3770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 32*t - 31. What is f(4)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 302, 5, 119, -4, -1 in ascending order.\nAnswer: -5, -4, -1, 3, 5, 119, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1074.9 to the nearest 10.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 3. Let w(m) = -6*m**2 + 14. Let q(b) = 16*a(b) + 3*w(b). Let f(v) = -v**2 - 5. Determine 4*f(r) - 3*q(r).\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + f - 104 = 0, -14*m + 508 = -9*m + 2*f. What is the highest common factor of m and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41213.5 + 271325.5. Let t = l + -230112.99993. Let z = -1 - t. What is z rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -39903?\nAnswer: 39901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 - 2)\/(-5))\/(-3 - -2). Let z be (4 + -3)\/(-1)*b. Suppose -12 = 4*f + 4. Put z, f, -8 in descending order.\nAnswer: z, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6780*g**3*x - 632*g**3 + 151*g**2*x + 127*g + 6 wrt x.\nAnswer: -6780*g**3 + 151*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -74. Suppose -4*x - 32 = -b + 3*b, -x = 5*b + 80. Let d = b + j. Calculate the remainder when d is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51157 is divided by 1342?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*1.761\nAnswer: 4.0503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49819.73 decades in millennia?\nAnswer: 498.1973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*h - 38, 19*x + 12*x - 36 = -21*h + 19*h + 28*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96604 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -35, 1\/3, 2, -10, -2\/13, 0.2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.26 + 9.94. Let c = w - 11.71. What is c rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533, 589, 633, 659, 661?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461808 to the power of 1\/2, to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a + 70 + 126 = 0. Suppose 0 = 4*n - 8 - 8. Suppose 2*d + 2*u = 2, 0 - n = d - 4*u. Sort -2, a, d.\nAnswer: a, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2258\/241 and -6.78 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 369, 456, 605, 846, 1209, 1724, 2421?\n\"Answer: 5*h**3 + h**2 + 49*h + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2447 + -2302. What is the greatest common divisor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65.54 - 66.74. Put 7, -1\/8, q, -0.1 in descending order.\nAnswer: 7, -0.1, -1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 6 (c) -4 (d) 1\/15 (e) -3\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 7:18 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 204984 divided by 6?\nAnswer: 34164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120263, 120297, 120331, 120365?\n\"Answer: 34*p + 120229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d + 6. Suppose 2*x + 0 = -6. Let l be r(x). Suppose 2*j = 5*u - 14, 2*u - 17 = -3*j - 0*u. Solve n = -4*z + 3, -n + l = -j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 281*g + 279*g + 8728 = 0, o = -4*g + 4364. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/8 of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*a - 1493, 4*a - 1642 = 5*l - 435. Calculate the remainder when a is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = -8. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210*o**2*p**3 + 2*o**2*p**2 - 24*o*p**3 + 3*o*p**2 - 2*p**2 wrt o.\nAnswer: -420*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m\/(m\/(m\/(m\/(m\/(m*m**(-12)*m)*m)*m)*m))))*m\/m**(6\/11)*m*m)\/(m**(-1)*m**(-15)))**(-2\/5) assuming m is positive.\nAnswer: m**(-648\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-291 + 362 - ((-6 - -2) + 15))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 1490027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1637.774 - -1615. Round i to 1 dp.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - (-44)\/16. Suppose 3*a = 5*l - 13, -h*l - l + 4*a = -4. Let c(u) = 38*u - 10*u - 16*u + 5*u**2 - 9*u - u**3. Determine c(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 + 5*w**2 - 7*w + 14. Let s(c) = 4*c**3 - 5*c**2 + 9*c - 14. Let y(p) = 4*d(p) + 5*s(p). Is y(6) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1310 + j**2 - 1310 + 5*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*v - 33 = 3*b, -4*v - 12 = 0. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61169 + -61085. Let y(s) = -s**2 - s + 28. Let b be y(0). Calculate the greatest common factor of w and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7121 = 2*g, -q + 4*g = -2143 + 726. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 9, 23, -1, -6 in increasing order.\nAnswer: -6, -5, -4, -1, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 11:20 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*v - 328 = -914, -y - 5*v = -154. Let j = 313 - y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -3. Is 3\/3*357 + a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 1420553?\nAnswer: -1420557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 553 - 636.2. Let q = d + 83. Let f(s) = -s. Let y be f(0). Which is the nearest to y? (a) q (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4 - 7. Solve a + 5 = c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4025239 or -4025240?\nAnswer: -4025239","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + 7*n**3 - 5*n**3 + 4*n**3 - 3*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53\/4 of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(8\/64)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 951, 963, 977?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 195. Let h(v) = 700*v**2. Determine n(h(l)).\nAnswer: -490000*l**4 - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -859969 by -11.\nAnswer: 78179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Let g = -0.5 - -2.5. Let v = 1689 - 1685. What is the closest to 1 in v, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -10\/319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116648.867 + -116516. Let b = -0.133 - i. Is 0 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x**(2\/31))**(-37)\/((x**(4\/3)*x)\/x**(1\/11))**(-6\/13) assuming x is positive.\nAnswer: x**(1470195\/4433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155.35 - 104. Let f = n + -76.02. Let d = 24 + f. What is d rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1811 is divided by 1801.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 56, -62, -0.3?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:43 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/15 + 2)\/(4\/(-6)). Let j(r) = 2*r**3 + r**2 - r - 1. Let g be j(-1). Which is the closest to g? (a) 1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -68 - 19 - -16) + (4 - 2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353.5 - 354. Let v be 48\/(-70) - (-2)\/5. Which is the closest to -3? (a) 1\/2 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 8 - (-16 - -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (93*(-1)\/2)\/(42\/(-2072)). Suppose 0*t - 4*t + 2299 = i, -p = -i - 3*t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -103311, -103305, -103297, -103287, -103275, -103261?\n\"Answer: t**2 + 3*t - 103315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/2*26\/(-13)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(2*sqrt(32)\/sqrt(4)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 3*(sqrt(320) + 2) - (4 + sqrt(320) + -1 + sqrt(320) - sqrt(320)))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 less than 0.2?\nAnswer: -379.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 10*f + 2. What is the remainder when 86 is divided by c(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 31 - -26 - (1 + -3 + -15) - -80?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 89. Calculate the remainder when 180*(-22)\/(-55) + -6*2\/4 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z**2 + 17*z - 37. Let t be m(2). What is the highest common divisor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*y - 13 = 0, 3*u - 5*u - 1 = -3*y. What is the third biggest value in 8, 0.1, 7, 1\/34, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1414828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (3 - 2)*2. Suppose 35*n - 18 = 38*n. Let l(j) = j + 1. Let t(u) = -6*u**3 + 16*u**2 - 8*u + 10. Let w(b) = n*l(b) + p*t(b). Solve w(y) = 0 for y.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5855 - 1564. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = w - 0, 0 = 4*f. What is g in 141*g**w - 136*g**5 + 6*g**3 + 15*g**4 + 4*g**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -29 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -285, -2337, -7911, -18771, -36681, -63405?\n\"Answer: -294*k**3 + 3*k**2 - 3*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -579154, -1158027, -1736900, -2315773, -2894646, -3473519?\n\"Answer: -578873*x - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -250, -133 in descending order.\nAnswer: 4, -133, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*s - 4*l, 1723*s + 4*l = 1718*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 206595689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuzzvuvuuvuuuvvvvu. Give prob of picking 2 v.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -852 divided by 6\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 14392*a + 19130825.\nAnswer: -(a - 15617)*(a + 1225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -9, 2, 1.\nAnswer: -9, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*z**2 - 351188*z - 25472272 wrt z?\nAnswer: 194*z - 351188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2959248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*r - 275*r**2 + 195*r.\nAnswer: -275*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 691181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 2 - p**2 - 3*p**2. Let n(j) = -j - 9. Let y be n(0). Let u be 0\/(y\/(-3))*-1. Calculate t(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 12:35 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = -21*m - 36. Let t(d) = 2*d + 56. Let c be t(m). Solve b = -c*q - 1, -b + 4*b - 2*q = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -86*j + 43. Let m(y) = -147*y + 85. Determine 3*m(q) - 5*u(q).\nAnswer: -11*q + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a)**22)**(-4\/15) assuming a is positive.\nAnswer: a**(-352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.012 + 0.488. Let x be 246\/15 - (-4)\/(-10). Let g be 52\/x + -1*3. Put g, -0.2, v in decreasing order.\nAnswer: v, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) + (-90)\/20. Let f be (4125\/(-207))\/(-5) + i. Let s = -8\/23 - f. Sort -2, 0.3, s, 1\/7 in decreasing order.\nAnswer: 0.3, 1\/7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 15*r**2 + r + 8. Suppose -x + 3 = -12. What is the tens digit of p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-40)\/(-128) - ((-268)\/144 - -4)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 8 + 18 + 1 - 2 + 0 + (-4 + 3 + 4)*(3 - 6 + 1))*(2*i**3 + 3*i**3 - 2*i**3) in the form k*i + v*i**3 + m + c*i**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/663 and 32\/2431.\nAnswer: 7293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgkggfkgkfzfzzfkf. Give prob of sequence kgz.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 5*w + 2*w - 2*w. Let d(p) = 2*p. Let b(z) = -8*d(z) + 3*o(z). What is the remainder when 15 is divided by b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405582156?\nAnswer: 2, 3, 7, 83, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 19 - (0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f - 5. Let l(n) = n + 1. Give 5*l(g) + s(g).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 297 - 171. Let j be (6\/(-20))\/(2\/856) + 2. Let n = f + j. Sort 4, n, -0.1.\nAnswer: n, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 6*w - 3*w + (1 - 6 + 3)*(2*w + 8 - 8) to i*w + t and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 53.18537454566 and -0.1.\nAnswer: 53.08537454566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31279 is divided by 453.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 1. Let i(q) = -q**3 - 6*q**2 + q + 1. Let m(o) = i(o) + 3*r(o). Let l be m(-4). Which is the third biggest value? (a) l (b) 5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1521, 1520, 1519, 1518, 1517?\n\"Answer: -k + 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4)*(-77*n - 59*n + 23*n + 37*n - 50*n) as r + f*n and give f.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.6937 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + f**4 + 3*f**2 + 1019 - 2*f + f**3 - 769 as u*f**3 + l*f**4 + n*f**2 + o*f + t and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90681520 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(42\/(-4)) + 1000\/175\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3688172 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (55 - 62)\/(2\/(-1418)). Suppose 5*z + 4436 - 735 = 3*h, -z = -4*h + b. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285 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: What is the value of (-6)\/(-8)*((-45)\/(-10))\/(18\/(-48))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) 2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) -15 (c) -3.7 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:07 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511013, 1022324, 1533635, 2044946?\nAnswer: 2556257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/10 + 2*s**3\/15 + s**2\/5 - 2*s\/5 + 6. Find z such that v(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87\/11 in 1\/4, 3, 2\/7, -0.1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i - 19*i + 52*i - 16*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 241535 (base 6) in base 14?\nAnswer: 79d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 262005 (base 9) in base 6?\nAnswer: 3223435","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*-1.77.\nAnswer: -136.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3 - 2)*(-35)\/(-5) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09808 + -0.03598. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxjnnnfxkfxx. What is prob of sequence nfn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (2 - -58) - 13) + -15.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (404\/(-8))\/(2\/(-8)). Let s be (b\/8)\/((-4)\/20). Let j = s - -5703\/44. Find the common denominator of j and -16\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v - 14728*v**2 + 14704*v**2.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 + 61*l**4\/7 + 88*l**3\/7 + 20*l**2\/7 = 0. Calculate l.\nAnswer: -1, -2\/7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1259 = -x + 1248, 4*x + 33 = -z for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -2 (c) 55 (d) 3 (e) 8 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 2, i: 2, s: 3, p: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48496954?\nAnswer: 2, 11, 17, 129671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -12. Let k = i + 2. Which is the closest to -0.1? (a) -3 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 c when four letters picked without replacement from ckcckkcccckk.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = 608*i - 630*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:03 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17.77856mm?\nAnswer: 17778.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = -5*n + 328, -2*g + 6 = 0. Suppose -5*p - n = -8. Let u = p + 21. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let k = -5 + i. What is the units digit of (-5)\/k*(-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 - 2*f - 9. Suppose 3 = 2*i + 15. Let v be h(i). Find the third derivative of -12*j**4 + v*j**2 - 4*j**4 + 10*j**4 wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-524)\/(-84) - 8*(-19)\/456)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000 + 1002202?\nAnswer: 1021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/4 + 3*y**2\/4 = 0. Calculate y.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 1327 (c) -6 (d) -0.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 139340 + 300645 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) + (-78474)\/(-231) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 232 = 5*m, -2*m + 7 = 2*k - 73. Suppose 8*n - m = 9*n. Is -45 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 4:37 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 10*l + 21. Let x be r(9). Solve x + 3 = 5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 6*t**3 + t**3)*(-5*t**2 + 5*t - 5*t + (4 + 0 - 1)*(2*t**2 + t**2 - 2*t**2) - 1 + 1 + 6*t**2) + (t - 3*t + 0*t)*(-3*t**4 + t**4 + 0*t**4).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 + 3*s + 1. Let r be t(-2). Let b be ((-24)\/(-28))\/(r\/84). Calculate the greatest common divisor of b and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 + 7*w - 136)*(5*w**2 + 3*w - 3*w).\nAnswer: 35*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208000 = 6*g - 8*g. What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -987*a**4 - 3*a - 15 wrt a?\nAnswer: -11844*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(275) - (sqrt(275) - (sqrt(275) + -2*sqrt(275))*6)) + sqrt(275))*-2 - (sqrt(275)*1 + 1 + 2*sqrt(275) + 0)))**2.\nAnswer: 210*sqrt(11) + 13484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 - 2*y**4 - 8*y**2 + 264*y + 18.\nAnswer: 40*y**3 - 24*y**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + g + 15, -4*y + g + 36 = 5*g. Suppose -2*w - 205 = 3659. Is w\/(-48) + (-2)\/y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4949133 by -1649711.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 276*v**5 + 88*v**3\/3 + 9*v**2\/2 - 759. Find the third derivative of o(t) wrt t.\nAnswer: 33120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3146669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3 - 198*g + 1954*g + 38*g**4 - 77*g**4 - 222*g**4 + 86*g wrt g?\nAnswer: -3132*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**3 + 6*k**2 - 4*k - 5. Let i(s) = 10*s**3 - 9*s**2 + 6*s + 7. Let g(w) = 5*i(w) + 7*y(w). Determine g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.8662 months in centuries?\nAnswer: 0.2423885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 134*h - 4. Suppose 5*p + 2*r = -3, 2*p - r = 7*p + 4. Let l be j(p). Which is smaller: l or -137?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/132*30 + 26962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 514*n**2 + 509*n**2 + 538*n**2 - 1310*n**2 in the form u + b*n**2 + w*n and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133470 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126240, -252482, -378724?\nAnswer: -504966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 5, -0.2, 2, 172, -0.068 in decreasing order.\nAnswer: 172, 5, 2, 4\/5, -0.068, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8 - 3\/30. Let n = s - -17\/20. Factor 0 - n*t + 1\/4*t**3 + 0*t**2.\nAnswer: t*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232 - 137. What are the prime factors of r - (-5)\/((-20)\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/1 - -2) + 7. Suppose 0 = 3*d - 0 - j. Differentiate 1 + d*m - 2 + 0 + 0*m with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/1 + -1*(3 - 5). Suppose 288 - y = 5*t. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 6 - 2*x**3 - 1 - 3 as r*x**2 + d*x**3 + h + i*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.25.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2582 (b) 6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 20*u + 34. Suppose u*i - 114 = 14*i. Calculate the common denominator of i and -52\/57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 131*a**5\/5 - 311*a**2\/2 + 156*a - 1. What is the derivative of z(c) wrt c?\nAnswer: 1572*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/(-6))\/1*6. Let z = a + -25. Suppose -4*b = -79 + z. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a**3 - 18*a - 7. Let q(z) = -5*z**3 - 6*z - 2. Let j(i) = 2*l(i) - 7*q(i). What is the second derivative of j(o) wrt o?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2846*g + 41*g**2 - 2*g**3 - 1 + 97*g**2 - 2848*g to b*g**2 + v + q*g + p*g**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 2\/((-68)\/(-30)). What is the biggest value in r, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140 (base 5) to base 14.\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p + 22. Let n(m) = -54*m. Determine n(u(t)).\nAnswer: 270*t - 1188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10577.\nAnswer: 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r + 3. Let d(z) = 5*z + 4. Let y(p) = -4*a(p) + 3*d(p). Let w(v) = v - 2. Let j(i) = -9*i + 21. Let h(q) = -4*j(q) - 42*w(q). Calculate h(y(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Let s = -58 + 55.96. Let w = s + 1.74. Which is the closest to 0? (a) -2\/5 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + 14. Let p = 31.951 - f. Let g = 0.04816 + p. Round g to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.004 - -0.004. Let o = 1.87 - 0.27. Let i = o - 0.6. Which is the closest to i? (a) 4\/5 (b) -0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108989562 to the power of 1\/3, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67238323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.035 - 0.435. What is the second smallest value in y, 1, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -77*l**2 + 4*l + 4. Let i be y(2). What are the prime factors of i\/(-2)*(-12)\/(-8) + 1?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from nygqgggggynggggygl?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*0.718.\nAnswer: 0.00718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - 25*m + 123. Let y be u(-9). Calculate the highest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 17, w: 2}. Give prob of picking 3 u and 1 w.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -2)\/((-34)\/((-183770)\/(-1035)))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = 5*x + 15, 5*y = 5. Let s be (-24)\/9*51\/(-4). Let p = s - x. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 58?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(180) + sqrt(180) - sqrt(500)*1)**2 + (1 + sqrt(5) + 1 + sqrt(5) + sqrt(5) - (-1*1*sqrt(5) - sqrt(5)))**2)*-5.\nAnswer: -3145 - 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*a - 18, 3*a - 6*a = -4*s + 21. What is the tens digit of s + -54*(-4)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n - 3*n)*(-27*n + 33*n + 46*n).\nAnswer: -104*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -19 in decreasing order.\nAnswer: 14, 5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -6*q - 3400. Let a = q + -137. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - -50 - 95 - (58 + -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/8 and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywllyluwyyylyelwu. What is prob of picking 3 l?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223023213 (base 4) to base 2.\nAnswer: 101011001011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/7 - -34\/35. What is the nearest to 1\/2 in s, 2\/7, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + (-1 - 0))*44. Suppose 3*j = -j + x. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 34 - 2*h + 49 - 8.\nAnswer: -2*h + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.6. Let f = -42 + 82. Let o be ((-3)\/4 - 10\/f)*4. Which is the closest to -1? (a) o (b) 2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069992716 to 5 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7161*c + 2 - 10 = 7169*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 + -90. Suppose 5*k = 306 + j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**3\/6 - 2*m - 10. Let l(f) be the first derivative of a(f). Give l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (-32)\/20)\/((-6)\/(-345)). Suppose 284 = x - c. List the prime factors of x.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-4) + ((-1)\/4 - -1). Suppose -i = v*m - 254, 2*m - 3*i - 173 = -0*i. What is the remainder when m is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2, -4, -6, -38 in increasing order.\nAnswer: -38, -6, -4, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 + 1*(-18)\/(-3))*7\/28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 71. Let t = q - 14. What is the smallest common multiple of 4*-1*11\/(-4) and t?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5918260 to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 45, 84, 143, 228, 345, 500?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 6, -728 in increasing order.\nAnswer: -728, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*j - 19 = 0, 8*h = 11*h + 5*j - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:44 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4080173 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 12:27 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*s - 69539 + 69583 = 0, 76 = 2*x - 4*s for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 81.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102717 (base 14) in base 11?\nAnswer: 8898392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 85928?\nAnswer: 429640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 22 + 10 - 423*c + 9.\nAnswer: -423*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16944 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 1, y: 1, e: 1, t: 1, b: 1}. Give prob of sequence ppe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.809987 centuries to months.\nAnswer: 6971.9844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooppoo. What is prob of sequence op?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*g + 4 = 8, -5*g = f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*j = -4 - 1, 3*j = -4*k + 6. Suppose -z + 5 = 2*t - 4, k*t - 16 = -4*z. Let c be (-1)\/(-4) + 0\/(-3). What is the closest to z in -1\/3, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55420 + -35137. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 - 566*m**2 + 26570*m + 541. Calculate f(88).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -9. Is (-6)\/(z - (-4)\/4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 13 = -3*v + 9, -2*v = -k + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.4. Let w = -1.378 + 1.328. Which is the nearest to 1\/4? (a) r (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5*150\/240\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 56*w**2\/9.\nAnswer: 2*w**2*(w + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -3\/2*k**2 + 1\/2*k**4 + 2 + k - 1\/3*k**3. What is the units digit of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 27. Suppose -3*j = 2*s - 73, 4*j = -4*s + 124 + c. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.43938 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0175*0.0093.\nAnswer: 0.01876275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*m = 388, -556 = 5*g - 5*m - 2476. Let c be g\/(-14) - 3\/2. Let k = c + 59. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + n**3 + n**3 + 3*n**2.\nAnswer: 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 10931.8697 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 22780?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25\/3 - 8. Let f = 14.2 + -9.2. Let g = -1752 + 22770\/13. What is the fourth biggest value in g, f, -0.4, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 10*x - 1. Let i be b(-10). Let c be i\/((-3)\/(-9)) + -1. Which is smaller: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9960587 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -8. Suppose -4*q + 82 = -5*f, -5*q + d*f + 18 + 93 = 0. Solve -q - 3 = -2*s - 4*l, -s - 3*l + 17 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*t**2 - 78*t - 83*t - 91*t - 92*t + 298*t.\nAnswer: -4*t**2 - 46*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 - 2*z - 6. What is h(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11007974 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45506a (base 11) to base 3.\nAnswer: -1100210100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:30 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 281.55.\nAnswer: -281.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Suppose 5*v + 4*r + 4780 = c, -5*r + 1045 = -5*v - 3780. Round v to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*m + 252*m = -630. Let n(l) = -11*l**3 + 4*l + 3. Let o be n(-2). Let u = o - m. What is the remainder when u is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2100213 + -1?\nAnswer: -2100214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - n**2 - 1)*(-1265*n + 2547*n - 1256*n - 24) to f + w*n**3 + c*n + j*n**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 34, -3, 40 in decreasing order.\nAnswer: 40, 34, 8, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlyqyhhhqynaqyhyyyhy. What is prob of picking 1 q and 1 l?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -9, 49, 2\/3313, -2 in increasing order.\nAnswer: -9, -5, -2, -0.4, 2\/3313, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*k**2 + 10261*k - 455179?\nAnswer: -50*k + 10261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 54576468*l**2 - 372323857419378*l = 0.\nAnswer: 0, 13644117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/12*3)\/((-11)\/(-66)). What is l in 0*l**3 - 8*l + 2*l**3 - 16*l - 5*l**c - 27*l**2 = 0?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*c**2 - 93\/7*c + 0.\nAnswer: 3*c*(c - 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101010111111 (base 2) in base 16?\nAnswer: -13abf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1499 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659520?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 11653 + 11500 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 8*b + 12. Let m be q(9). Let c be (3 - (2 + 159844)) + m. Let i be (-1250)\/3*c\/(-9). What is i rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 41958*p**2 - 251802*p + 377730.\nAnswer: 2*(p - 3)**2*(p + 20985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*z - 3 + (3 - 3 - 7)*(-z + 0*z + 2*z))*(-1 - 3 + 2)*(-113 + 290 - 116).\nAnswer: 1098*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1255090824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11068.9 - -11083. Which is the second smallest value? (a) s (b) -0.1 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 54 - 201 - -141.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1035, 872, 709, 546?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*i**2 - 34*b**2*i + 3*b**2 - 65*b*i**2 - 4*i**2 + 2*i wrt i?\nAnswer: -4*b**2 - 130*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w**2)*(0 + 1 + 1)*(-w**2 - 3*w**2 - w**2).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -293521.\nAnswer: -1\/293521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -24. Let o be (2 + 1 + -2)*7. Let h(g) = 6*g + 4*g - g**2 - 2*g + 0 - o. What is h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 - 3*x - 2. Let h = -8539 - -8599. What is the remainder when h is divided by o(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 7*b + 5. Let g be t(7). Suppose -2*v - 5 = 2*y - 17, g*y - 22 = -3*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2056 + 43052 = 633*c - 38129 for c.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25498 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8008.072718 + -8008. What is q rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 11*d + 22 = 0. Sort -9, -3, d, -1 in decreasing order.\nAnswer: d, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2) + 10\/2. Suppose 0 = -2*b + 801 + 41. Let j = 426 - b. Solve 3*u - c = j*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - -1 - (-6 + -11). Suppose -1 = u*t - 20*t. Let r be (-1)\/6 - t\/6. Solve -2*i + 8 = -r*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5532267.31 - -19189.\nAnswer: -5513078.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 18.9.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z - 5 + z**2 - 3*z + 7*z. Let o be a(6). What is the greatest common factor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**6 + g**5 - g**2 - g - 1. Let w(i) = -361*i**6 - i**5 - 173*i**2 - i + 1. Let n(d) = l(d) + w(d). What is the third derivative of n(s) wrt s?\nAnswer: -43080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 8. Let f(w) be the second derivative of -7*w**3\/3 - 41*w**2\/2 + 3*w. Let j(c) = -2*f(c) + 11*h(c). Determine j(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 248\/33, 0.17, -8, 0.3, 0.2, -4 in increasing order.\nAnswer: -8, -4, 0.17, 0.2, 0.3, 248\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*f**5 + 20788*f**3 + 4036483*f?\nAnswer: -240*f**3 + 124728*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104478803*j**4 + 2083150*j**2 + 40*j wrt j.\nAnswer: 2507491272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -67. Factor 33*m**3 + 3*m**5 - 6*m**2 - 8 - l*m - 17*m + 32 + 7*m - 18*m**4.\nAnswer: 3*(m - 2)**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229508 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037380956 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from hlhucllcuhhcuclhh?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262803791 to the nearest integer?\nAnswer: 16211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5925 and 3213483.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s*t**2 - 2*s*t + 1976*s + t**2 - 1320*t wrt t.\nAnswer: -4*s*t - 2*s + 2*t - 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/4)*l*l\/(l\/(l\/(l*l\/(l**(3\/4)*l)*l))) assuming l is positive.\nAnswer: 1\/sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 348*g**2 + 146*g + 69781. What is q(347)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136) + -4*sqrt(136))*5)\/((sqrt(128) + -4*sqrt(128) - sqrt(128) - sqrt(128))*5).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 20500*i + 420250000.\nAnswer: (i + 41000)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - w + 4*w = 65, -4*o + 50 = o - 0*o + 2*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 22*g**3 - 10 - 30*g**3.\nAnswer: -8*g**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -222*g**2 + 107*g + 2. Let k(s) = 2*s**2 - 2*s + 1. Let b(a) = j(a) - 2*k(a). What is the second derivative of b(h) wrt h?\nAnswer: -452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42566949 is divided by 3774.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {b: 5, e: 7, j: 2, r: 4}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:26 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 88*x + 340.\nAnswer: 4*(x + 5)*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 3*i**2 + 12*i + 20*i.\nAnswer: 2*i**2 + 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 = 330*l + 10*l + 1221 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29471?\nAnswer: 13, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let k(y) = -4*y - 727. What is r(k(q))?\nAnswer: 16*q**2 + 5816*q + 528529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 46 and 46 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0 + 1\/4*h**5 + 0*h**7 + 0*h**6 + 0*h**4 + 0*h + 37*h**2 - 5\/168*h**8 + 0*h**3. Find the third derivative of z(l) wrt l.\nAnswer: -600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 - 22*l**3 + 5928*l**2 - 450536*l wrt l?\nAnswer: -24*l**2 - 132*l + 11856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 3. Let p(w) = -1 + 2*w + w**2 - w**2 - 2*w**2 + w**2. Let n be p(1). Suppose -l + n = -3. What is q(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.922 - 17.78?\nAnswer: -7.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/3453800 and 47\/1568.\nAnswer: 96706400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -61 - 74. Is n <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsb. Give prob of sequence bsb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.1318874 months?\nAnswer: 0.09432395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-48)\/(-32)*4\/(-10554)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose -2 = -d - v. Let x(m) = m + 3. Let i be x(d). Solve -i = 4*k + 5*n, -k = n + 3*n + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = -1353. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from otpuooote?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -263568000 divided by 136\nAnswer: -1938000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(384)*-5 + sqrt(384) + 3*(sqrt(384)*-1 + sqrt(384)) + sqrt(384))\/(-4*sqrt(32) + sqrt(8) + sqrt(8) + sqrt(512)*-1).\nAnswer: -24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 + 9*n - 9. Let y be t(6). Suppose -5*v + y = -1. Suppose -17 = -v*b + b. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94, -197, -308, -427, -554, -689?\n\"Answer: -4*x**2 - 91*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 601528 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 283056.1 to the nearest 100.\nAnswer: 283100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 x when four letters picked without replacement from eeeexeeeeeee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72624 (base 8) to base 2.\nAnswer: 111010110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 - 215*a**2 + 159*a - 106. Calculate g(53).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfgysvfffgsn. Give prob of picking 1 v, 1 s, 1 f, and 1 g.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73912 - 180*n**4 - 744*n**3 - 6000*n - 5*n**5 + 584*n**3 - 2160*n**3 + 6088 - 11600*n**2 = 0. Calculate n.\nAnswer: -10, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4624*f**2 - 3*f + 3. Let v be t(2). Suppose 793 = -3*u + v. What is u rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5 - 7312*y**4 + 6697290*y**3 - 24929020*y**2 - 1592074792*y - 1560441168 = 0. Calculate y.\nAnswer: -13, -1, 18, 1826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -575\/11 + 8429\/132. Suppose 0 = -3*t - x + 41, 2*x = 3*x - 5. What is the common denominator of o and (4\/2)\/(t*(-4)\/114)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7868 divided by -106.\nAnswer: 3934\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 6*l**2 - 4*l + 1. Let y(b) = -b**3 + 6*b**2 - 4*b + 2. Let p be y(5). List the prime factors of t(p).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/3)\/(2\/(-9)). Suppose -202 = -g - u - w, g - 2*u = 166. Let k be (-9)\/(-2)*(8 - 4). What is the highest common divisor of g and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*d - 5*h - 13, -5*d + 5*h = -15. Suppose 4*x = 2*m - 2, -1 + 17 = -d*x + 4*m. Let u(n) = -15*n + 15*n + n**x. Let y(g) = -4*g. What is u(y(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g**2 + g - 1. Let s be m(5). Suppose s*n - 3*h - 370 = 0, 7*h = 5*n + 2*h - 465. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -13*v**8\/56 - 5*v**4\/2 + 27*v + 10. Let d(l) be the first derivative of q(l). What is the third derivative of d(h) wrt h?\nAnswer: -1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o - 1179 - 3693 = 0. Suppose -9*f = o - 506. Suppose -j = -6*j + 250. Is j != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 43*r**2 + 178*r + 177. What is the least common multiple of 532 and c(-1)?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 13*y + 840. What is the highest common factor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 7*p - 2. Let f be a(2). Find the second derivative of -m + 8*m + m**4 + f*m**4 + 2*m wrt m.\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {n: 4, z: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 21 = -1. Sort -3, t, 3, 1 in ascending order.\nAnswer: t, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.94 + 0.06. Let y = 34 - 13. Let c = -21 + y. What is the closest to a in c, -0.4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*g + 51268 = 0, 2*g + 18087 = 4*r - 33181. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -499*w + 191. What is the remainder when 939 is divided by a(0)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 1\/22, 4, 0.082008?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 2*n**2 + 8*n - n**2.\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 5*z**2 + 6*z + 6. Let l be m(-2). Which is the second smallest value? (a) l (b) 1 (c) -1\/26 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*p + 10, -2*p - 17*j + 14*j + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 6. Let x be h(6). Let m(o) = o**2 + 49*o + 220. Let b be m(-44). Solve b*y = 3*y + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 4*y. Suppose -d + y + 0 = 0. Let r be (-2)\/3 + (-22)\/(-6). Solve k + r*k = 12, d*n - 4*k + 27 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -7 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 40259?\nAnswer: 1248029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 33 = -t, p + t - 24 = 5*t. Suppose 0 = 130*l - 156*l + 728. Calculate the remainder when l is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*r - 17*r + 26*r)*(-5 + 1 - 1)*(7 - 2 - 2)*(5*r - 3*r + r + (-4 + 1 + 2)*(3 - 7*r - 3)) to g*r + o + n*r**2 and give n.\nAnswer: 3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 15*c**2 + c + 7. Let z be l(-15). Let g = -45 - -48. Suppose 31 = -g*h - 4*b + 5*b, -4*h - 32 = b. Is z < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125 and -1962?\nAnswer: -245250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -528 - -1176. Is 54 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (92\/8 + 2)\/3*-2. Let s be 60\/14 + j\/7 + 1. Solve -s = -4*f, -2*b + b + 5*f = 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 6*q**2 + 3*q + 0*q)*(43 - 26 + 72).\nAnswer: -89*q**2 + 267*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.011 and 18.\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150534 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 5*r**2 + 3*r**2 + (6*r**2 - r + r)*(4 - 3 - 2).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 83*h + 359. Let v be g(37). Solve -77 + 25 = -v*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779855 is divided by 259901.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. Let p be (-2)\/(((-9)\/f)\/(-6)). Let j be 0 + -22 + 22 + (1 - 0). Sort 8, p, j in descending order.\nAnswer: 8, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 + 251. What is the remainder when m is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:30 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {r: 1, b: 2, d: 4, h: 4, w: 1, q: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Let t(y) = y**3 + 31*y**2 + 29*y - 27. Let h be (-26)\/117 + (-804)\/27. Let v be t(h). Sort 14, p, v, -1 in increasing order.\nAnswer: -1, v, p, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 25 + 31 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from eeeffefeeexeeeeeex?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**3 - 2*h**2 + 1. Let y be x(-1). Differentiate -4*k + y - 1 + 0*k - 2*k with respect to k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-4540)\/10215).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 15\/(-6))*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-7 - (-1 - (-16 + 8)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from lllolooll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -3526.1.\nAnswer: 10578.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 597240.8mm?\nAnswer: 59724.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11827.6 - 39568662\nAnswer: -39556834.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Suppose -j + q*j + 48 = 0. Let z be 6\/(-12)*j\/2. Solve -3*h + z = 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u. Let m(y) = 2. Let s(g) = 16 + 48*g - 21*g - 19*g. Let o(p) = -8*m(p) + s(p). Calculate o(d(w)).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:31 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -2, 483?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35543 times -0.337\nAnswer: -11977.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266847260 by 2180.\nAnswer: 122407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -76)*(-24)\/(-12). Suppose -5*r + 63 + 22 = 3*a, -a = -5*r + 5. What is the greatest common divisor of v and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.6 - -97.4. Let f = v + -132. What is the nearest to 1\/2 in 2\/5, f, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and 374407080.\nAnswer: 374407088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 smaller than 6527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.19625?\nAnswer: -0.098125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times -0.381?\nAnswer: 32.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/5 - 19758*i**4\/5 + 34347639*i**3\/5 - 5901689832*i**2\/5 + 23195219676*i\/5 - 23058145104\/5 = 0 for i.\nAnswer: 2, 188, 3197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-220) + 225\/(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 8 = 0. Let h = -18 - -30. Suppose k*s - 4 = h. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 3*sqrt(19)*4 - (0 + sqrt(38)\/sqrt(2)))**2 - (5 + 6*-4*sqrt(19)*-4).\nAnswer: -96*sqrt(19) + 2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 712510346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -2*b, 0*b + 2*b + 2 = 2*c. Suppose 3 = c*d + d. Suppose 0 = 2*o - 3*k + d + 9, -2*k = -4. Is o equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*h + 55, 2*h - 4*k + 20 = -28. Let b be 60\/63*h\/(-12). Let a = b + -68\/45. Which is smaller: 0.4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(3\/7))\/v**(-2\/41))**(-17)*(v**9*v\/v**1)\/((v\/(v\/(v**(-7\/5)\/v)*v*v*v))\/((v\/v**7)\/v)) assuming v is positive.\nAnswer: v**(-4511\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 39 (c) -10\/7 (d) 2\/167 (e) 105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 3*s**4\/32 - 15*s**3\/8 + 189*s**2\/16 - 147*s\/8 + 12. Factor m(p).\nAnswer: 3*(p - 7)**2*(p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7391 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56677169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 9}. Give prob of sequence ww.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12501)\/(-378) + (-1)\/14. Solve -39*m + t*m = -24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a = 28*a - 2122 + 260 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/6 + 2 - (-38)\/(-114))*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**2 + 5*g**2 + 0*g**2 - g + (1 + 5 - 5)*(-2 + 2 - g**2) + 2*g - g**2 - 2*g)*(2*g - 3*g + 0*g).\nAnswer: 7*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 43 - 47)*(4*n**3 - 3*n**3 + 4*n**3) to the form s*n + j*n**2 + z*n**3 + f and give z.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 41*c = 1584. What is the greatest common factor of 54 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2\/9 + 556\/9*v + 62*v**2 = 0.\nAnswer: -1, 1\/279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3\/2 + 5708*o**2 + 10856615*o\/2 - 3621409 = 0.\nAnswer: -1903, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1659600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z - 175*z**3 - 11*z + 534*z**2 - 532*z**2 - 2. What is r(1)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -g + 24, -2*c = -5*g - 0*g - 55. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 - (3 - 1). Suppose o = -5*c + 14, -8*o = -4*c - 4*o - 8. Calculate the remainder when 20 is divided by 11*c\/((-2)\/w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 166*p - 167*p + 806. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 59*f**2 + 441*f - 240. What is z(-12)?\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o - 8*s + 4*s, -5 = 3*o - 5*s. Suppose 252 = 2*k + j, o = 3*k + j - 242 - 138. What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245103 - -245240.507. Let o = r + -138. Round o to two decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/6234?\nAnswer: 1\/6234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:58 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001110110 - 10100000111100?\nAnswer: -1110111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.6, 20\/11 in descending order.\nAnswer: 20\/11, 0.5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1628301, -1628323, -1628371, -1628445, -1628545?\n\"Answer: -13*s**2 + 17*s - 1628305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 72822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3400*h + 6 = -j + 3399*h, -2*h - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268.7 - 260.982. Let h = m - 6.9. What is h rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-26 - (4 + 2 - 19))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 6*y + 4. Let t = 5 + -2. Let i be h(t). Suppose -i*u - 78 + 278 = 0. 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: What is the least common multiple of 742 and 6?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s - 34. Let o be l(-4). Solve 5*r - 15 = -j, o*j - j = 2*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (-1898)\/(-104) - 1\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-6))\/((-1)\/(-3)). Solve -3*u + u = j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + -0.5. Sort 16, 4, s.\nAnswer: s, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 44*q**2 - 21*q + 2748. Determine x(-42).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 7. Let q be 3 + -1 - (0 - -6). What is the remainder when t is divided by 10\/6*(7 + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/1089422 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 107?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-22) + -8*(-84)\/512.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381899*j + 324513*j + 39 - 39.\nAnswer: 706412*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 2*v**2 + 3*v**2)*(-2*v**2 + 4*v**2 - v**2) + (-4*v + 4*v + 3*v)*(7*v - 131*v**3 - 7*v).\nAnswer: -391*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20631 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3497 + -3496.96754. Round r to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12079, 12489, 13167, 14113, 15327, 16809, 18559?\nAnswer: 20577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4991980 to the nearest integer?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102.3 + 102. Let v be 1\/(-4) - 295\/4. Let s = v + 220\/3. What is the closest to s in g, 0.2, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525314454 to the power of 1\/3, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) + sqrt(1620))*-1)\/(sqrt(99)\/(sqrt(11)*-2) + sqrt(9))*-6 + -2)**2.\nAnswer: -336*sqrt(5) + 35284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 42, 49, 56, 63, 70?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 2*i**2 + 3*i - 5. Let t be q(4). Let p = -102 + t. Is p at most 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15074*u - 10468*u + 19592*u + 3*u + 0*u - u + (4 - 2 - 3)*(0*u - u + 0*u) - 2*u + 0 + 0 to the form d*u + j and give d.\nAnswer: -5949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -3, -0.148, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, p: 5}. What is prob of picking 1 p and 1 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*a + 5*r, -4*a + 9*a = 4*r + 96. Calculate the smallest common multiple of a and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 14*m**2 + 126*m - 473. Give y(5).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/81*(2\/(-12))\/(3\/9).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3026 - 0.6974. Let h = 14642 + -43484\/3. Let y = h - 146. What is the closest to 1\/2 in y, -0.5, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*i**2 - 861*i**2 + 1700*i**2 + 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 226 or 1669304?\nAnswer: 1669304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:00 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17542 - -2.18322. Let m = -2.3 - -0.3. Let w = m + i. Round w to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290193 is divided by 72415?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014868354547 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 1, o: 2, b: 2, a: 3, f: 2}. What is prob of picking 1 b, 1 a, and 2 o?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - 12353?\nAnswer: -12328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:51 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122433 (base 6) in base 12?\nAnswer: 143419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 24. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356923 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1022 - 954. What is the greatest common factor of i and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 33 = 3*f - 0*a, -3*f - 4*a - 15 = 0. Let h = 15 + -10. Suppose -p = f*s - 3*p, 0 = s - h*p. Solve 2*v + v = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 2*r**2 - r**5 + (2*r**2 + r**2 - 2*r**2)*(3*r**3 + 2*r**3 - 3*r**3) + (-1 + 5 + 6)*(-3*r**4 + 3*r**4 + 2*r**4)*(0*r - 4*r + 2*r).\nAnswer: -39*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i - 54*i - 2*w + 57 = 0, 4*i + 3*w - 47 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244\/(-18) - ((-94)\/(-9) + -11 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087189431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.34 (b) -2\/3 (c) -192 (d) -3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n**2 - n - 2. Let b(y) = 12*y**3 - 18*y**2 - 5*y - 11. Let x(w) = -b(w) + 5*j(w). What is the third derivative of x(k) wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 200 - 56. Suppose -4*h + t = -h. Solve -2*o + h = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, l: 1, c: 11}. Give prob of sequence ld.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**2 + 2*s + 1. Let u be n(-1). Let c(f) = -2*f + 8. Let y be c(u). Let -4*r**2 + 25 - y + 3*r**2 - 2*r = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = 22*l + 4. What is the remainder when 19 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*z**2 + 1)*(4 + 15*z - 3 - 9*z).\nAnswer: -48*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.87 - -0.926. Let v = -0.01 - h. Let y = 0.06600046 + v. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.94763 to two dps.\nAnswer: -29.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/20 + 25*f**4\/12 - 43*f**2\/2 - 7*f - 1. Find the first derivative of n(p) wrt p.\nAnswer: 3*p**2 + 50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 7 = 5*n. Suppose 0 = 2*b - n*w + 6, -5*b + 0*w = w + 9. Is 11\/2 - b\/(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**2 - 7. Let q(l) = -l. Let d(u) = -2*g(u) + 5*q(u). Let k(v) = -6*v**2 + 4*v**2 + 4*v**2. Give k(d(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12358 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8712)\/12100)\/((-10)\/((-800)\/(-12))).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + (2*sqrt(833)*3 - (-2 + sqrt(833) + sqrt(833) + -1)))**2.\nAnswer: 56*sqrt(17) + 13329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*i + 2*i + 27, 5*i + 5*x = 45. What is the highest common factor of 81 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/5)*n)\/n)\/((n**(-4)\/n)\/n)*n**(-2\/3)\/n**(-3) assuming n is positive.\nAnswer: n**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:20 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 69 - 43. What is the remainder when (f\/(-35))\/(3\/(-195)) is divided by (-1 + 1 - -2) + 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/7, 1\/8, 8 in ascending order.\nAnswer: -9\/7, 1\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7 - 724?\nAnswer: -81b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 2\/13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -40. Let a = 6 - 2. Let z(w) = 7*w + 63. Let i be z(-9). Solve g = a*t - i*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 8) to base 9.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 117, -3.08, 11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 2*h**3\/3 - 7. Let l(m) = 7*m. Determine l(v(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -6*u**2 + 164576*u\/3 + 475592\/3 = 0?\nAnswer: -26\/9, 9146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -582 by -3.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/33006 and 163\/66.\nAnswer: 363066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 209\/1680 and 97\/2310?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 85456732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285561 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkf when three letters picked without replacement from {f: 2, k: 1, s: 1, h: 2, x: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 609903470 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -7*o**4\/24 + 2*o**2 - 275*o + 2. Let i(q) = -4*q - 7*q + q. Calculate w(i(z)).\nAnswer: 70*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -o - 36*x + 37*x + 13, -12*x - 130 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1842 - 27 = 5*o. Let c be (-4)\/(-6)*o\/22. Let s(i) = -6*i + 0 + 4*i - 1 + 3*i**2. Let f(v) = 16*v**2 - 11*v - 5. What is c*s(b) - 2*f(b)?\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 39*v - 76 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13972 and 16884.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03415 to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 5*b + 2. Let y be h(-5). Suppose -f + 2 + 10 = 0. Solve -n = y*n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1 (c) 0.2 (d) 4\/11 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 31656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236357 is divided by 163.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 8*q + q - 6 to v*q + l and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 0*w + w + 3 - 3. Let v be c(1). Solve i = 3, v = -5*h - 2*i + 3*i + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6)\/(i*i**4))\/(i**(-1\/2)*i*i\/(i*i\/i**(-1)))*((i*i*i**(-1))**5)**(12\/19) assuming i is positive.\nAnswer: i**(-10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -a7?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20162951947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12275 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:25 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011100001100 (base 2) in base 15?\nAnswer: 1b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11442444 (base 5) to base 6.\nAnswer: 2201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314 + -1563?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40549 or -40493?\nAnswer: -40493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + -47. Let t = d - -117. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.006 + 256.006. Let g = c - 255.385. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138 + 93. Let t be (-2)\/(-9) - 125\/m. Let k = 4.2 + -3.2. Sort 0.4, t, k in increasing order.\nAnswer: 0.4, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = -5*j, -3*j + 3 = -0*j. Suppose 5*d - 6*d = m. Let f = d + 30. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180637757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 317974191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -96. Let n = 3 + -4. What is the closest to n in 1\/4, g, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800*k + 533*k - 37611 = 20714 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -469752?\nAnswer: -469754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/(-36) + 16\/(-3). Let p(i) = i**3 + 7*i**2 - 3*i - 8. Let s be p(m). Solve 0*l = -3*l - 5*z + s, 0 = -5*z + 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 - 6*p + 1. Let x be b(3). Let m be 656\/24 + (x\/(-3) - -1). Let z = m - 25. Solve c = z*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 9, i: 8, e: 1, d: 1}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125\/9, -3, -0.006, 1 in decreasing order.\nAnswer: 1, -0.006, -3, -125\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*r - 7. Let c(a) = a**2 - 3*a + 4. Let f(m) = -m. Let i(b) = c(b) - 2*f(b). List the prime factors of i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1912339kg in nanograms?\nAnswer: 191233900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -3\/20*c**5 + 0*c**2 + 0*c**6 + 17\/42*c**7 + 0*c**4 + 3*c + 37\/3*c**3 + 1. What is the second derivative of v(s) wrt s?\nAnswer: 340*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2 - 11 - 0. Let p be (-3)\/12 + (-51)\/m. Suppose 0*l = 2*l - 2. Put l, p, -5 in descending order.\nAnswer: p, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(72) - (-2 + sqrt(72))) + sqrt(24)\/sqrt(192)))**2.\nAnswer: 16*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 569 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50.85468 and -0.741.\nAnswer: 50.11368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f. Let p(h) = 135*h + 80. Let t be (-5 - (-1377)\/11) + (-12)\/66. Let n(w) = 3*w + 2. Let d(y) = t*n(y) - 3*p(y). Calculate d(i(g)).\nAnswer: 270*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-25))\/(4\/(-10)). Which is the nearest to 0.2? (a) 0 (b) -2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/7 - 4800*y**2\/7 - 221247*y + 3586965174\/7.\nAnswer: 3*(y - 1209)**2*(y + 818)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*u + 152. Suppose -d - 144 = -3*t + 136, t - u = -4*d. Is 16 a factor of t - (-1 - (0 + (-6)\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030569?\nAnswer: 3, 47, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 20 = -3*f, 2*a + 2*a + 8 = 0. Suppose 0*l - f*l + 104 = 0. Suppose -5*z = 1 - l, 3*n - 5*z - 65 = 0. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6a08a9 (base 14) to base 15\nAnswer: -4b56eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-1\/10)*t)\/t)\/((t*t**(-2\/43))\/t))\/(t**(1\/4))**26 assuming t is positive.\nAnswer: t**(-979\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/135*1\/(3\/9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.7 - -34. Let x be 4\/(-10)*30\/(-3). Suppose 4*u - 3 = 1. Which is the second smallest value? (a) h (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 106*s + 836. Is j(43) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 4*g - 4*d, 715*g - 2*d + 60 = 719*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - u + 1. Let b(f) = -14*f**2 + 6*f - 8. Let l(r) = b(r) + 6*p(r). Find the first derivative of l(w) wrt w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.98534 centuries to years.\nAnswer: 8498.534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/4)\/((-22)\/44). Let d = w + -36. What is the units digit of 15\/(-6)*1746\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i - 4 + 3 + 1.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213.687 + -214. Let a = -0.3 - x. Round a to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*g*g)**(-15) assuming g is positive.\nAnswer: g**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21.6 times -0.0214\nAnswer: 0.46224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.01, -1, 6.18?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -11*a - 2. Let n be a\/4*90\/3. Suppose 15 = 3*r, -r + n = 5*k - 0*r. Solve 0 = -q + k - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15167989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, 0.1, 2\/23, 2\/21, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -237942?\nAnswer: -237941.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 - (-14 + -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -12*w**5 - 436*w**4 - 3576*w**3 + 7064*w**2 - 1596*w - 1444 = 0.\nAnswer: -19, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 9 in increasing order.\nAnswer: -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13500189151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 5, p: 13}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 4*x**4 - 18)*(34 - 4*x + 5*x - 3*x).\nAnswer: -8*x**5 + 136*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o + 35. Determine s(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 9:14 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2 - -2)*1. What is the closest to c in 2, -5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1)*u))**(-8))**(-5\/2)\/((((u\/(u*u**(1\/2)))\/u)\/u)**(-2\/87)*(u**0)**(1\/4)) assuming u is positive.\nAnswer: u**(-5\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 - w + 12. Suppose 2*d = y - d - 15, 3*y - 5*d - 25 = 0. Give f(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7020 and 7836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*n - 52*n - 55*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 + 146 - 86 = -61*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 135 - 141. Let h = b + 6459. Suppose h = 3*d - 101472. What is d rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -14995 - 6485. Calculate the greatest common factor of n and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-25)\/10)\/((14\/(-42))\/((-1016)\/(-36))).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/50 (b) -3\/4 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 4, c: 2, d: 3, v: 6}. Give prob of picking 2 c.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4597444 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 493*t - 459*t + 170 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11996\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1374*i - 895*i = -795*i + 879*i + 80002 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let h = -36 - -172. Suppose 0 = 6*o - 10*o + h. What is the remainder when o is divided by q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3314 + 3311. Which is the second smallest value? (a) -217 (b) -0.1 (c) 3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 18.2. Let n = 23 - 10. Let q = h - n. Which is the third biggest value? (a) -0.05 (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 22*w**4 + 54*w**3 + 50*w**2 + 16*w.\nAnswer: 2*w*(w + 1)**3*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1590620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9880, -38746, -86850, -154186, -240748, -346530, -471526?\nAnswer: -615730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4\/5, -94, -5 in ascending order.\nAnswer: -94, -5, 1\/3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*g = 4628*g - 12807 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 30*q**2 - 27*q - 93. Determine z(29).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (1 + 55)\/2. Let a be (-1)\/((-10)\/(-725))*(-320)\/200. Calculate the highest common divisor of h and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125062\/75 + 1668. Let j = 42617\/31440 + 1\/18864. What is the common denominator of j and s?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3521 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1\/4, 0.1, 0, -6\/11 in decreasing order.\nAnswer: 1\/5, 0.1, 0, -1\/4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2. Let u = 1 - i. Is u - (0 + -75 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -114. Find the first derivative of 4*o**3 + x*o**2 - 47*o**2 + 21 - 46*o**2 - 45*o**2 wrt o.\nAnswer: 12*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2))\/l)\/l*l**10*l\/(l\/(l\/((l\/(l*l**(2\/5)))\/l)*l*l))*l**(-3) assuming l is positive.\nAnswer: l**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1631687, -1631463, -1631239?\n\"Answer: 224*j - 1631911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17723 and 1258.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4391 = 37*t - 36*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 42. Calculate i(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -317.371 - 0.629. Let l = 313 + k. Let a = 5 + 0. What is the third smallest value in 1, a, -0.5, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 + 3 - 2106*q**3 + q**4 + 2108*q**3 + 2*q - 2*q as a + x*q**4 + s*q**2 + p*q**3 + w*q and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 34*j + 660 = 36*j, 2*n - 293 = 5*j. Calculate the remainder when 441 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) -0.01 (c) -3\/7 (d) -5.9 (e) -4 (f) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11533260.\nAnswer: 2, 3, 5, 211, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -2565.\nAnswer: -2577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p + 13. Let z(w) = -w + 9. Let d be z(4). Let o be r(d). Suppose o*k + 42 = 20*k. Calculate the greatest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 11) to base 2\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -9 + (0 - 0) - 1 - -12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 2*s - 17. Let o(t) = t**2 + 16. Suppose 3 = -u, 3*g + g - u + 17 = 0. Let d(c) = g*o(c) - 4*y(c). Factor d(x).\nAnswer: -(x + 2)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-6)*(-1)\/(-6))\/(1173\/414)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 68 - (0 - -31).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198195763223\/17094 - -81161266\/7. Let y = o - -2\/407. Find the common denominator of -43\/18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:36 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3526650.16 to the nearest 10000.\nAnswer: -3530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4. Let t = -5 + 5.9. Let w = 1.9 - t. What is the closest to w in 2\/11, -2, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 2 in decreasing order.\nAnswer: 5, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-30)*(-3)\/12. Is o < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(700) + -3 + sqrt(700) + 2 - ((-1 + sqrt(700))*5 + -5 + 1*sqrt(700)))**2.\nAnswer: -1120*sqrt(7) + 11396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/14)\/(40\/84*(-648)\/270).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41133 < 2385707\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n + 41. Let i = 29 - 41. Let h be f(i). Suppose x = h - 11. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15393 is divided by 1293?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4560521.4 rounded to the nearest one thousand?\nAnswer: 4561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*i + 144 = -111*i + 247*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:53 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 219. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 8*m - 18. Calculate o(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6. Let h be (x - 3)\/((-2)\/4). Solve -3 = -3*j - 3*z - 0*z, 0 = -h*j + z + 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -1539.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 24. Let d be g(-7). Suppose -6*h - 2 = -d. Let f(z) = 3*z. Let i(u) = -4*u. What is h*f(o) + 5*i(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 396.3 - 397. Put 2\/7, -7\/4, -4, v in descending order.\nAnswer: 2\/7, v, -7\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175513 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 5*k - 24. Let i = k - -49. Calculate the remainder when 107 is divided by i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -54448 (base 12) to base 15\nAnswer: -22e4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -3*12\/(-36)*(-3)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**5 - 5*f**3 + 6*f**2 + 4*f - 4. Let c(b) = 3*b**5 - 6*b**3 + 6*b**2 + 3*b - 3. Let s(a) = 4*c(a) - 3*w(a). Let s(q) = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1356 + 6310 + 18572 - 322 + 8550)*(0*h**4 + 4*h**4 - h**4).\nAnswer: 95262*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51237573.\nAnswer: 3, 17079191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 383932 by 15.\nAnswer: 383932\/15","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1153?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -49 - 5*d + 22 + 12 + 20*d. Suppose 0 = -4*p + 3*p + 6. Does 25 divide v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66114527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*s + t, 7 = -3*s - 4*t. Suppose -3*z - 7 = -4*z. Solve z = -c + s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from muqmcqmmqc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -42, 3, -15 in increasing order.\nAnswer: -42, -15, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000000010110 (base 2) in base 5?\nAnswer: 230324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224607473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vvvjvvvgvgvvgvj.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m + 168 = -58*m. What is the highest common factor of m and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160546 - 20?\nAnswer: -160566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9882 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzj when three letters picked without replacement from {o: 1, n: 3, j: 1, z: 3, t: 3, u: 3}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y + 1019558 = -4365622. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1718.063 rounded to the nearest integer?\nAnswer: -1718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 377\/7. Let t = 6 + -5.84. Let k = 2.16 - t. Sort -3, w, k in increasing order.\nAnswer: -3, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-779 + 727 + 457*g**2 - 454*g**2 - 3*g)*(-18*g + 11*g + 8*g + 1)*(4 + 1 - 3) as p*g**3 + x*g + b*g**2 + m and give x.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -9 + (-14 - -33 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 2*y**2 - 5*y - 1. Let n be v(-2). Is n <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23507 - 15815. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22670, 22671, 22672, 22673, 22674?\nAnswer: 22675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/78 (b) -1\/5 (c) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 50231.48 millennia?\nAnswer: 5023148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 8. Let g be a(6). Is 12 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {c: 4, p: 1, h: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1335 and 82325.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1836 and 432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 312 - 1?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6427.1 - 6427. What is the closest to a in 2, -2\/7, -132, -3\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -79*s**3 + 792*s**2 + 25*s - 434. Determine x(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 2. Let h be o(6). Let t = 282 - 244. Let d(f) = f**2 - 36*f - 103. Let m be d(t). Are h and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129920.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 145*p + 837. What is l(-2)?\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 t when four letters picked without replacement from tttttttttqtttttttq?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2758 and 360?\nAnswer: 496440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 640 + -632?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 168600 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.328 - 0.33. Let p = f - -0.0020084. What is p rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbbsbbbbbbbbb?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.934773 to 1 dp.\nAnswer: -99.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.03354482 to two dps.\nAnswer: -4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - sqrt(209)*-2)*6)\/(2*sqrt(99) - sqrt(99)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1735780 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 48*o + 16. Let b(f) = 7*f + 2. Calculate 20*b(a) - 3*h(a).\nAnswer: -4*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71143379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 5. Let d be p(-5). Let o(g) = -11*g - 72. What is the least common multiple of 10 and o(d)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 4*j - 186 = 38*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*f - 6*f - 158 = 0, 2*d - 3*f = 321. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 8.01. What is the third biggest value in 3, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3\/3 - 4*y**2 - 5*y - 8. Let d be m(9). Suppose 9 + 7 = d*u. Solve -3*z - 1 = u*p - 6*z, -13 = -5*p - z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(2 - (-21)\/(-6)). Is 5 a factor of 34\/d + 4\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Suppose k = w*k + 5. Let i(r) = -r - 11. Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 129567, 113, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 44. Suppose -2*j + 5*n - 29 = 11, n = j + 23. Let c be 27\/90*j\/(-6). Put c, p, 0.2 in increasing order.\nAnswer: 0.2, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjojojjjjjjjjjjjjjj.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(((-12)\/9)\/(-2)). Suppose l + n = 2*l. Suppose 4*v - 183 = 5*t, v + t = l + 36. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + -2*(4*(-2*sqrt(448) - sqrt(448)) + 3))**2 + -1.\nAnswer: -1152*sqrt(7) + 258058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.59, -9, 3, 568?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1847643435 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 179*f + 4 + 178*f + 0.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*u**2 - 34*u**2 + 74 - 55*u**2)*(28*u**2 + 0*u**2 + 2*u**2) as j*u**3 + l*u + d + c*u**2 + y*u**4 and give c.\nAnswer: 2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 - 9*t**2 + 5*t**2 - 4*t**2.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -3*f - 2*d, -31*f - 114 = -32*f + 4*d + 3*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/212 and 101\/5655206.\nAnswer: 11310412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-4 - -2) + 12 + 63 + -64)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b - 6 = -41*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -12 + 5 - (-4 + -1900) is divided by 173?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38439 - 38439.000032613. What is v rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -406 - -536. Let c = q - 142.96. Round c to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 8*v - 17. Suppose 3*y + 28 = -y + 5*m, 0 = -4*y + 2*m - 16. Let f(w) = -w**2 - w + 1. Let z(t) = y*f(t) + b(t). What is z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4\/4 + 47932*g**3 + 2747597*g**2\/4 + 1788980*g - 5111600 = 0. What is g?\nAnswer: -63895, -8, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.86286423 rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z - 58 - z - 17*z + 14*z. What is the remainder when 75 is divided by k(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 66. Let s(a) = -4228*a. What is v(s(t))?\nAnswer: 12684*t + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let w be (1 - -1)\/(b\/52). Let u = -69 - w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213877?\nAnswer: 17, 23, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnhnnnannhvhnahnnnn. What is prob of sequence anh?\nAnswer: 44\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*-3)**2 - (sqrt(4)\/sqrt(2)*5)**2) + 4 - (sqrt(18) + sqrt(288)*3)\/((sqrt(54) + sqrt(54)*3)\/sqrt(6)).\nAnswer: -13*sqrt(2)\/4 + 2132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 8 = 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*r + 12*r + 0*r.\nAnswer: 17*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 2646 = -13*i. Calculate the remainder when i is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 1. Suppose -5 = -a - 2*w + 2, a + 7 = 5*w. Let v(h) = 1 + 0 - a*h + 0. Calculate -7*n(d) + 5*v(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6526158800 rounded to the nearest one million?\nAnswer: -6526000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 4. Let u be s(4). Let c be (-1)\/(-2*(-3)\/(-24)). Suppose -3 = z - c. Is u at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -1271901.\nAnswer: -1271904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 = 9*x - 190. Let q = x + 63. Is -18 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n - 1150675 = -257552. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {l: 3, q: 4, x: 1, b: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 464 + -460 + -1 + -36.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 604352 and 64.\nAnswer: 604352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -306 (base 10) to base 6\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7406115 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2394064923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*z + 103322 + 144138 = -8473*z - 4460*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51044817516 and -0.3?\nAnswer: 51044817515.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.01 - -2. Let g = c + 0.13. Let d = g + 0.23. Round d to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - 5*m + 270 = 0, -u = -5*m - 36. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503154254 to the power of 1\/2, to the nearest integer?\nAnswer: 38771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6\/k**(-2\/9)*k**(-6\/7)\/k**(-5)*k**(-1\/4)*k*k*(k\/(k**(-6)\/k))\/k*(k*k\/(k**(-1)\/k))**(-9\/2) assuming k is positive.\nAnswer: k**(281\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -11*r**2\/2 + 5*r - 4. Let v be -5*(2 - 1) - -1. Is q(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -410522?\nAnswer: 410515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 145427 and -0.29.\nAnswer: -42173.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(16\/(-8)*(-2)\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 173, 381, 671?\n\"Answer: 41*l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -13295, 1, 5, 2, -1 in ascending order.\nAnswer: -13295, -8, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 5:18 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 720. Suppose -7*n - 8*n = -o. Calculate the remainder when 4\/(-6) - 202\/(-6) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 - 72*u**2 - 109*u - 240. Determine g(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1900 - 7*p**3 + 17*p - 2*p**2 - 1903 + p + p**3 + 2*p**3 - 5*p**3 + (-1 + 5 - 2)*(0*p**3 - 3*p**3 + 5*p**3) + 3 - 3 + 2*p**3 - 5*p**3 + 2*p**3 + 2*p**3.\nAnswer: -4*p**3 - 2*p**2 + 18*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2288*c. Let w(t) = -10*t - 8*t - 10*t + 30*t. Give d(w(a)).\nAnswer: -4576*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3280 - -3283. Let k be 4 + (-4)\/((-12)\/(-9)). What is the biggest value in k, 1\/4, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 8. Let q(w) be the second derivative of -w**3\/6 + 5*w**2\/2 - 3*w. Let s be q(5). Determine m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -50. Let r(b) = 4*b - b**i + 4*b + 11 - 10. Calculate r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 229 = 221. Suppose -o = -14 + 12. Solve -16 = -o*i - n*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24466346.7 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -21 + -99 + (163 - 162)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 3. Let u(v) = v + 1. Let p(m) = -n(m) + 3*u(m). Let a(i) = -2*i. Determine a(p(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 6090\/777 - 1080\/54?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 859918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43154, -172583, -388286, -690263?\nAnswer: -1078514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20*g. Let k(l) = -l. Let s(a) = -j(a) - 25*k(a). Let i(m) = 5*m**2. Calculate s(i(v)).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let a(t) = -129*t + 42*t + 46*t + 42*t. Determine -8*a(w) - 5*o(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 + 16*h + 24. Let l(f) = 16*f**2 + 48*f + 70. Let q(j) = 3*l(j) - 10*m(j). Find p such that q(p) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 (base 5) in base 15?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 - 643*l - 5131. Give o(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12715 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/(5*(-15)\/250)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.6 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - v**2 + 11. Let w be x(-6). List the prime factors of (-18)\/24 + w\/4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 2*n**2 + n + 1. Let v be u(2). Let p(q) = -2*q**2 - 7*q + 0 + 2*q - v. Give p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4826)\/46 + (-72)\/828. What is the remainder when s\/(-20)*-2*(-48)\/9 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*x - 0*a - 5*a, 5*x - 4*a = -10. Suppose 0 = -f - x*f + 51. Suppose -2*h + 2 + 10 = 0. Calculate the remainder when f is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -105595.69 and -1.\nAnswer: -105596.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/360 - p**4\/6 + 8*p**3\/9 + 34*p**2. What is u in g(u) = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 0.3 (c) 6\/25 (d) -2 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Let k = -300 - -553. Let w = k - 253. What is the closest to 0.1 in w, 4, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15452, -93 in ascending order.\nAnswer: -15452, -93, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16500218?\nAnswer: 2, 7, 43, 27409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 1\/2, 20\/277, -1\/26 in increasing order.\nAnswer: -1\/26, 0, 20\/277, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(19) + sqrt(57)\/sqrt(3)) + sqrt(76)\/sqrt(4)*4 - (2 + 3*sqrt(19) + -1 + sqrt(19) + sqrt(475)))**2.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 10. Let a(j) = -17*j + 61. Give -a(v) + 2*t(v).\nAnswer: 15*v - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11291 + 12667. What is the lowest common multiple of 208 and s?\nAnswer: 17888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24772 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 843\/570 + (-3)\/(-30). Is 3 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 4. Let b(o) = -o**3 - 7*o**2 + o + 1. Let u(n) = -n**3 - 6*n**2. Let z(f) = 2*b(f) - 3*u(f). Let j be z(-4). What is the units digit of t(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 23. Let c(n) = -3*n**2 + 0*n**2 + 4*n**g. Let j(v) = 13*v**2. Give j(c(u)).\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 72 = -11*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -253, -1, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/4979472 and 31\/2724.\nAnswer: 4979472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292.6 + -293. Let c = -0.4 - -18.4. Let i = c - 17.8. What is the second biggest value in 1, f, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32637638 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l - 402 = 0. What are the prime factors of l?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 24*y - 25. Let c be z(1). Let t(p) = 11*p**2. Determine t(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from qssqssqqszsqqzq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*v - 11 = 1, -2*f + 10 = v. Suppose -g - 47 = l, -f*g + 3*l = -5*g - 57. Which is bigger: -41 or g?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1280 + 7180. What is d rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 + 9. Let f be v(-9). Suppose -2*g - 15 = -g + 5*h, g = h + f. Suppose y + 20 = -d, g*d + 2*y = y - 120. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247941278*l**3 + 3*l**2 + 33745593?\nAnswer: -1487647668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-5*t + 2*t + 2*t + (-2 - 3 + 6)*(11*t + 38*t - 5*t)) + 17*t - t - 50*t to the form o + d*t and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106528*m**2 - 41897*m**2 + 97546*m**2.\nAnswer: 162177*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 4*i - 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uel when three letters picked without replacement from huuzzezruzuuuluzuu?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-18))\/((-170)\/867))\/((16\/(-10))\/(-4))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + f + 4 = 36, 0 = -g + 2*f + 11. Suppose g*b - 185 - 175 = 0. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/79)\/(r**(-24)*r))**(-3\/20))**(-37) assuming r is positive.\nAnswer: r**(201909\/1580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/147 - 16\/49. Suppose 0 = -8*u + 3*u - 20. Which is the biggest value? (a) s (b) u (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-2 - -3) - (-69 + 130 - (37 + 5))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.51 in 0.01, 7, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 4, j: 2, w: 3, c: 2}. Give prob of picking 1 j and 1 o.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*d + 55, -2*w + 4*d + 15 = -21 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -33 + 20\/3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Put -12, o, -5 in decreasing order.\nAnswer: o, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:13 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1352)\/(-130))\/((-2)\/(-55))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from rdrrrrrdr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91429 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6067\/22)\/(3\/6). Let l = b + -551. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (2 + (15 - 21)) - -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 12:29 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51.4 + -59. Let j = -11.6 - x. Sort j, -1.2, 0 in descending order.\nAnswer: 0, -1.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704 = -93*q - 61*q + 144 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 - 9?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 3:01 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 63*p**2 - 58*p + 241. What is b(4)?\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21144 is divided by 5280.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.703194 and -0.0885400192?\nAnswer: 0.7917340192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k + 5*c + 6239, 4*c + 20 = 0. Let j = -5786 + k. Round j to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-11)*(-55660)\/(-3036)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t**2. Let h(o) = -30*o**2. Calculate h(a(x)).\nAnswer: -3000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-two fifths of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2483013418398 and -0.2.\nAnswer: 2483013418397.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 22 + -1 + -2 + -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 12:14 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1443 and 70707.\nAnswer: 70707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 645, 3.6, 153 in descending order.\nAnswer: 645, 153, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1419\/706?\nAnswer: 1419\/706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32733*x**2 + 32860*x**2 + 32507*x**2 + 32618*x**2 - 130221*x**2.\nAnswer: 497*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.111607027 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**2*v**3 + 3042*p**2*v**2 - 112*p**2*v + 103*p*v - 2*p - v**3 wrt v?\nAnswer: -24*p**2*v + 6084*p**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -127. Find the first derivative of -2*n**2 - m*n**4 - 32*n**4 + 24 + 69*n**4 wrt n.\nAnswer: -40*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2\/9 (b) -246 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 101. Let q = 13 - 27\/2. Let y = -16 - -11. Which is the closest to d? (a) q (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 5*f**2 + 3*f**3 + 2)*(-9*f - f + 4*f).\nAnswer: -18*f**4 - 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/8 + 195*w**4\/8 + 7605*w**3\/4 + 296595*w**2\/4 + 75*w. Factor k(c).\nAnswer: 5*(c + 39)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + 20?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -3\/5, -329, -3 in decreasing order.\nAnswer: -3\/5, -3, -31, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14832 - 14824. Calculate the least common multiple of 2878 and m.\nAnswer: 11512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 7*h - 165. Suppose 11 = 4*v - 13. Calculate the highest common divisor of v and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 20 = -5*a, 2 = 4*a - 0*m + 3*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6112, 59, 5 in ascending order.\nAnswer: 5, 59, 6112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**2 - 2078*d - 2045. Calculate l(232).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1570, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 11*y**2 + 12*y - 1. Determine x(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + -2)\/(2\/(-1194)). Let y = 14731 + d. Suppose y - 177979 = 3*i + 3*v, 3*i + 4*v = -171012. What is i rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1048710000 to the nearest 1000000.\nAnswer: -1049000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 - 19*x**3 - 9*x**3 + 53*x**3 - 11*x**3 - 8*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 less than 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2 = -3*o + 14, 4*k + 12 = 3*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 14*c = 2. Solve 2*m - 4 - c = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*v + 15, 22*b = 18*b + 12. Solve 0 = -v*a + 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -37, -51, -65, -79?\n\"Answer: -14*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21932804.\nAnswer: 2, 89, 61609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-10)\/6)\/(21\/112 + (-581)\/(-144)).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 - 4*o**4 + 0*o**4)*(1 - 1 - 1) + (-2 + 2 - 2*o)*(2*o**3 + 2*o**3 + 2*o**3).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*s - 13. Suppose -3*f + 5 + s = -2*w, 24 = 4*f - w. Suppose 0 = -f*a + 10 + 2. What is the least common multiple of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m**4 + 4152*m**2 - 8272*m + 2 wrt m?\nAnswer: -84*m**2 + 8304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.990238 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3852 >= -4197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/89))**(-5\/2)*v**(-8)\/(v**(-29\/3)\/v) assuming v is positive.\nAnswer: v**(59\/534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14475.11 + -14775. Let m = x - -305. Let y = m - 0.11. What is the smallest value in -4, y, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12 + l**2 + l - 5*l + 0*l. Let r be o(6). Suppose 0*g + 10 = 4*g - 3*z, r = g + 3*z - 10. Put g, -1, -3 in ascending order.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150917\/17270 - 1185\/157. What is the common denominator of 7\/254 and r?\nAnswer: 13970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c77 - 103c0?\nAnswer: -a547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {c: 5, d: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbba. Give prob of sequence baab.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*f - 8. Suppose -f*b - 35 = -2*u - 5*b, -60 = -4*u - 4*b. Suppose -u*c - 23 = -143. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 69*y**2 - 2. Give p(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*((-24)\/(-9))\/(-8). Put u, 0, -22 in decreasing order.\nAnswer: u, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = 3*k - 3*s + 6*s, 0 = 4*s + 8. Suppose h + 199 = -5*m + 515, m - 4*h - 59 = 0. Suppose 14 - k = -3*l + j, l - j - m = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 1. Let f(n) = n + 2 - 1 - 2 - 2. Let c(y) = f(y) - 3*u(y). Let l(r) be the second derivative of -r**3\/3 - r. What is c(l(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3 + p**2 - 7*p**3 + 6*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w**(5\/9)*w*w)\/w)*w**(-2)*((w*w\/(w*w\/(w*w**(-10\/3)\/w))*w)\/w)\/w*w\/w**(-11\/3) assuming w is positive.\nAnswer: w**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 741, -11, -3, 160 in ascending order.\nAnswer: -11, -3, 160, 741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16 and ((-1)\/(-16)*-1)\/((-6)\/(-708)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -85855639?\nAnswer: 1\/85855639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 - 37*o**2 + 28*o + 2. Let k(q) = -135*q**3 + 1000*q**2 - 755*q - 55. Let w(m) = 2*k(m) + 55*u(m). Find j, given that w(j) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 6 = 0. What is the lowest common multiple of 106\/6 - (-11)\/33 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 (base 16) in base 7?\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmlmmmlllmllmmmlllm. What is prob of picking 2 m?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1552313 and 48.\nAnswer: -1552265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iys when three letters picked without replacement from ssysyiisiiiis.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*r = 666 - 1546 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 4*y - 2*y**5 + (2*y**3 + y**3 - y**3)*(2*y - 2*y - y**2) - 55*y**5 + 1079*y**5 + 2160*y**5.\nAnswer: 3180*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3675 divided by 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000155755 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6436 - -6439. Let c(s) = 44*s**3 - 5*s - 9. Let r(k) = 22*k**3 - 3*k - 5. Give m*c(q) - 5*r(q).\nAnswer: 22*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1144500 - -1828489. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*5\/((-200)\/32)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701859.\nAnswer: 3, 179, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8280.682 litres in millilitres?\nAnswer: 8280682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 84 = -19*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h + 40*h - 1070740 = 1725447. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001001000111 (base 2) in base 6?\nAnswer: -414223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - l = 209, -4*r + 0*r + 5*l = -184. Let a = -59 + r. Let m be (120\/a - -6)*(-6)\/4. Is m less than -4\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*d**3 - 1 - d - 23*d**3 - 1 + d**4 + 5 in the form r*d + u*d**3 + b*d**2 + z*d**4 + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a**2 + 2*a - 2. Let k be l(-2). Let c(m) = m + 98. Let y be c(-46). Calculate the greatest common factor of y and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388300507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*r - 655*r + 125 = -1319*r - 3*v - 7, 0 = -3*v - 102 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -39.44. Let a = 0.522 + t. Is a greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c, -4*i = -3*c + 6*c - 881914 - 48354. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let r be (-3)\/2*1\/o. Suppose -4*c - 4*v + 32 = 0, 10*c - 7*c + 4*v - 27 = 0. Put r, c, -2 in decreasing order.\nAnswer: c, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -20*f**3 + 4*f**2 - 2*f + 13. Let h(t) = -t**2 + t - 3. Let a(k) = -4*h(k) - u(k). Give a(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/21 + (-4505)\/5950.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39200355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -12*d - 345. Let o = d - -70. List the prime factors of 1 - o - 825\/(-5).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w - 9. Suppose 0 = -w*b - b - 3. Let o = b - -6. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 12*d**2 - 12*d - 7. Let c be p(-11). Determine a, given that -3*a**2 + 8*a + 1 - c*a - 3 + a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 993 divide 3661191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*-6) - (sqrt(19) + sqrt(190)\/sqrt(40) + sqrt(19)).\nAnswer: -8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-549)\/3355*(-4 + 5 + 13\/(-3)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107\/2 - 55. Let z(d) = d - 5. Let y be z(9). Let x = y - 8. Put -3, i, -2\/13, x in decreasing order.\nAnswer: -2\/13, i, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1472 and 416.\nAnswer: 19136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*y - 0*y. Suppose -2*f + 8 = 0, y*f - 29 = -3*o - 5*f. Which is the fourth biggest value? (a) 2\/3 (b) o (c) -1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*p - 4*c - 21, 0 = 2*p - 5*c - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -309 and 57\/55 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-210))\/(2901\/(-6769)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49257388, -49257386, -49257384, -49257382, -49257380, -49257378?\n\"Answer: 2*u - 49257390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 1267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**7\/105 - 11*p**6\/75 + 3*p**5\/25 + 79*p**4\/15 - 7*p**3\/15 - 147*p**2\/5 - 4847*p - 1. Let z(b) = 0. Calculate b.\nAnswer: -3, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-105)\/(-9))\/((-7)\/(-126)). Let f = 1889\/9 - v. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvcvqczucucucuu. What is prob of picking 1 q, 2 u, and 1 v?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-1)\/(17\/((-34)\/2))))\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.900002 - -0.9. What is s rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(3\/2)*o)\/o)*o)**40\/((o*o\/o**(-1)*o)\/(o\/(o**12*o))) assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5*j**10*((j*j*(j**(-1\/2)*j*j)\/j*j)\/j)**(3\/17) assuming j is positive.\nAnswer: j**(525\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75850*l**3*o*x + l**3*x + 128*l**3 + 2*l*o - 16073*l - 2*o*x + o + 17*x wrt l.\nAnswer: 455100*l*o*x + 6*l*x + 768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3839*q**3 + 383 wrt q.\nAnswer: 11517*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p. Suppose 0 = j, 75 = -p*g + 5*g + 5*j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89449213 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 less than 0.028?\nAnswer: 378.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48*1\/(-162))\/(52\/117).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41460 divided by 10365.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnwwncr. Give prob of sequence gcn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -881 or 162?\nAnswer: -881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdn when three letters picked without replacement from nimifdn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*i - 3*g - 2, g - 4 = 0. Suppose 0 = i*y - 0*y. Suppose c - 9 = -y*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560454476 and 55464.\nAnswer: 9244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 31. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17948244*0.1\nAnswer: -1794824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 4 + -13 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 163462 = -2*p, 190085 - 26611 = 2*p + d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35.33 and 0.5.\nAnswer: -34.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(190\/(-4940)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 13, d: 5}. What is prob of sequence ud?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 - 169*x + 154. Let k be p(-25). Let u(o) = o**3 - 6*o**2 + 6*o + 3. What is u(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -56, -10, 42, 94, 140?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -29.5. Let m = c - -0.5. Let n = 0.3 + m. Is -1\/7 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*k + 4*u, -k + 2*u = -3*k + 12. Suppose -k*h - 4*t = -5 - 1, 4*t + 14 = 5*h. Let m(g) = -h*g + g + g + g. Let l(a) = -2*a. What is l(m(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(891)*2 - sqrt(891))*5 + (sqrt(825)*-2 + sqrt(825))\/(sqrt(12)*-2).\nAnswer: -1 + 185*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + (4 - 15) - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v. Let d(j) = -4*j - 12. Let b(x) = -1. Let z(q) = -12*b(q) + d(q). What is -2*t(m) - 3*z(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-23)*z*z\/(z\/z**24)*z*z**(5\/2) assuming z is positive.\nAnswer: z**(241\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -6*l + 1\/2*l**3 + 33\/16*l**4 - 115 + 9\/10*l**5 - 9\/2*l**2 + 1\/8*l**6. Let r(v) = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*m + 206 = 0, 277 - 76 = 4*g + m. Let v = -23 + g. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {g: 1, j: 2, o: 5, r: 8, h: 2, x: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/22*96\/(-120).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1512 smaller than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -332 + 332.036. Sort -0.5, -4, q in increasing order.\nAnswer: -4, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -25. Suppose u = -3*z - 4*t, 3*z - 16 = 7*z + 4*t. Suppose z = v + 5*r + 2, -2*v + 4*r + 19 = 3*v. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 30476663*c. Let r(q) = 3*q. Give r(t(f)).\nAnswer: 91429989*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-68)*(-25)\/75. Is w < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40\/3)\/(9\/27).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 12 (b) 2 (c) 63.6 (d) 15 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53137, 211565, 475611, 845275, 1320557?\nAnswer: 1901457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**3 - 4\/9*n**5 - 2\/3*n**4 + 2\/9*n**2 + 0 + 0*n.\nAnswer: -2*n**2*(n + 1)**2*(2*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 17. Suppose -b*n + f + 32 - 11 = 0, n + f - 3 = 0. Sort n, -4, -2 in increasing order.\nAnswer: -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 5*y - 9. Let s be (-8)\/6*5\/(10\/(-9)). Let w be 1 + (-22)\/6 - (-4)\/s. Calculate the remainder when j(w) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/157787?\nAnswer: -12\/157787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 78*w**2 - 1456*w - 52. What is i(47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 2*y**2 + y + 2. Let t be p(0). Let g = -18 + 24. What is the highest common factor of g and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10)\/(l*l**(-2)\/l)*((l**(-8\/7)\/l)\/l)**0)**(-1\/7) assuming l is positive.\nAnswer: l**(-19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 232714 (base 8) to base 4\nAnswer: 103113030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 248 = 4*h, -2*q - 3*h + 0*h - 188 = 0. Find the common denominator of (58\/(-10))\/(q*2\/20) and 97\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + -0.11302\nAnswer: -39.11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67679 - -5.\nAnswer: 67684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 309*p**2 - 6*p**3 - 309*p**2 as c + q*p**2 + k*p + l*p**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o - 5*o + h + 11, 2*h = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2304, -9197, -20684, -36765, -57440?\nAnswer: -82709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -3681?\nAnswer: 3681.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300) + sqrt(3300)*1 + sqrt(33) + sqrt(825)*1)\/((sqrt(30)\/sqrt(5))\/sqrt(2) + -2*sqrt(12)).\nAnswer: -26*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*n**2 - 40 - 375*n**2 + 4 + 195*n**2.\nAnswer: 7*n**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768861 divided by 23?\nAnswer: 76907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 - m**4\/4 - m**3\/2 - m**2 + m + 35. Suppose -4*b = -5*y - 10, 3*b = y - 0*b + 2. Give a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6492605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**3\/4 + 69*m**2\/4 - 315*m\/2 = 0.\nAnswer: -30, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c - 1. Let k(q) = q**2 + q + 3. Let w be (-1)\/4*2*-2. Give w*k(y) + 2*l(y).\nAnswer: -y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + (4 + -7 - (-4 - 13))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 278 = -274. Is 28 a factor of n\/10*0 + 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26246350 to the power of 1\/2, to the nearest integer?\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 620957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2132303 - -6?\nAnswer: 2132309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (1 - (8 + -12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -16. Suppose -s = 9 - k. Let r be ((-12)\/(-135))\/(s\/(-40)). Which is the third biggest value? (a) -0.2 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41273 + 41273. Which is the third smallest value? (a) v (b) 1 (c) 5.6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-18))\/(0 + -2). Suppose 0 = 3*j - 0*j + 12. What is the third smallest value in 2\/5, j, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v + 6. Suppose -k - v*k + 18 = 0. Solve -k = -4*w + w - i, 0 = -4*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 8:03 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109980 and 2256.\nAnswer: 439920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-3\/2)\/k))**(-29))**(3\/28)\/((k**(-8)*k*k\/(k*k**(-2\/19)))\/((k**(1\/4)*k)\/k*k*k\/k**(1\/12)*k*k)) assuming k is positive.\nAnswer: k**(85\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4613679819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -13577, 50, 1, -3, 0.\nAnswer: -13577, -3, 0, 1, 3, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 8}. Give prob of sequence aad.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1. Let d(y) be the first derivative of y**2\/2 - y - 5. Let c be 6\/(-4)*(-2)\/(-3). What is c*p(n) + d(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let z = -3.7 + 3.9. Sort 0, z, g in ascending order.\nAnswer: 0, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (54 - 33)) + -8 + (-2 - 6)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337142, -674301, -1011462, -1348625, -1685790, -2022957, -2360126?\nAnswer: -2697297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 213*o**2 - 106*o**2 + 7*o - 2*o**4 - 108*o**2 to f*o**2 + r*o**3 + a + i*o**4 + d*o and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-6\/17)\/s*s*s*s))\/s)\/(s\/(s*s**20*s))*(s**(-1\/5))**(-41) assuming s is positive.\nAnswer: s**(2342\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125 - 75. Find the third derivative of 24*i**2 - 16*i**6 - 2*i**4 + 2*i**4 - n*i**2 wrt i.\nAnswer: -1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14598 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1997948.\nAnswer: 1\/998974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -94?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 40 - (4 + 0 + (-24 - -13))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, -1\/31, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.2, 217\/2, -0.17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2938, -6571, -10972, -16147, -22102, -28843?\nAnswer: -36376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + -8 + 3 - (24 - 60)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 0*g**3 - 4*g**2 + 7\/6*g**6 - 9 + 0*g + 0*g**4 + 0*g**5. What is the second derivative of z(j) wrt j?\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/72 + 3\/8. Suppose 5058*r - 5051*r = 0. Let q = -103.4 + 103. Sort b, q, r, -0.3 in descending order.\nAnswer: b, r, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and -4\/597?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - 67\/((-5159)\/4730)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283588?\nAnswer: 2, 31, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78270? (a) 2\/7 (b) 0.042 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3404 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7101.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 25 - (-81 + 123)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64314815?\nAnswer: 5, 12862963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 493 - 316. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1399 - -1998. List the prime factors of l.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 19868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -3 (c) 3\/65 (d) 3.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 50158940*l + 125795963096180.\nAnswer: 5*(l - 5015894)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + u = -34 + 29, 5*q + 4*u = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378946.\nAnswer: 2, 189473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81.9 - 82. Let q = 11 + -7. Which is the biggest value? (a) z (b) 10 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 38720*t - 67200 + 3840\/7*t**3 - 48376\/7*t**2 - 142\/7*t**4 + 2\/7*t**5 = 0.\nAnswer: 3, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 682 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/(-9)*3)\/2 + 284.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49.3*0.3\nAnswer: -14.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1 + 3. Suppose -c*u + 5*u = 21. Solve -3*y - u = 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*s + 359*s = 120. Suppose -16*a = -15*a - 7. Solve -2*t + 10 = 4, -4*t = s*b - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 504*x**3 - 108?\nAnswer: 1512*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from {b: 4, w: 3, r: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Let z(f) be the first derivative of f**2\/2 + 153*f + 375. Calculate h(z(r)).\nAnswer: 3*r + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t + 109. Let m(g) = -8*g. Calculate m(c(p)).\nAnswer: 32*p - 872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -2*sqrt(78))\/sqrt(2))\/(sqrt(30)\/sqrt(160)) + (0 + (sqrt(13) - (sqrt(104)\/(sqrt(32)\/sqrt(4)))**2) + 2)*2.\nAnswer: -22 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 10029*n**2 + 2609568*n\/5 - 33933172\/5.\nAnswer: -(n - 26)**2*(n + 50197)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, u: 1, s: 5, w: 4, y: 1}. Give prob of picking 1 u and 1 l.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 6*s + 3*s + s**2 + (0*s + 0*s + 2*s**2)*(-4 + 4 + 2).\nAnswer: 5*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = 5*n, -4*n = -n - 5*x - 7. Let y = 3.581 + -9.581. Let g = 0 + -4. Which is the third biggest value? (a) n (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8447 = 16*s - 8591 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 955 and 1005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, 1\/5, -0.1, 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 + h - 4. Let z = 69 - 72. Let b(f) = 4*f**2 + f - 3. What is z*n(v) + 4*b(v)?\nAnswer: 4*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, p: 1, y: 3, q: 4, o: 4, c: 1}. What is prob of sequence qcp?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 9. What is s(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 43*s**4 + 7*s**3 - 49*s. Let x(j) = -21*j**4 - 3*j**3 + 24*j. Let n(i) = -6*h(i) - 14*x(i). What is the second derivative of n(o) wrt o?\nAnswer: 432*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 3*o**2 + 2*o + 4. Calculate v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -54, 0, -1, -7 in ascending order.\nAnswer: -54, -7, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 31 - 49 = 0. Solve 0 = -5*s + 3*k + h, -5*k + 9 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 3*r**2 + 3*r**2)*(-2 - 1 + 6 + (3 - 3 - 4)*(2 + 1 - 5) + 0 - 4 + 6 + 2 - 3 + 0).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 20. Let t be d(8). Calculate the highest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -22 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 10 - (1 - -1) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1\/1*(-124)\/(-992).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 9*o + 1 + 2)*(-4 + 4 + 3*o) - 3 + 3*o**2 + 3 + (2 - 2 - 2*o)*(0*o + 2*o - o) as j*o**2 + g + i*o and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 26*v = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = 0. Suppose u = 3*h - 15 + 3. Suppose -h*b + 2*b = 4*n - 32, 3*n = 2*b + 17. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34307879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-3 - -5) + -2. Determine s, given that 4*s**h + s - s**2 - 2*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211*l**2 + 211*l**2 - 4*l**3 + l - 4 - l**4 + 2*l**4 to s*l + q*l**4 + h + n*l**2 + v*l**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 15786\/(-2))*(-14)\/98. Let w = n + -1124. Find the common denominator of -109\/572 and w.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 2*p**4 + p**2 + 4*p**4 + 4*p**4 + p**4 + (p - 6*p + 3*p)*(-4*p**3 + 5 - 5).\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-230)\/28 + (-4)\/14. Let v = 0.0551 - 0.5551. What is the nearest to t in 0.3, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from trdrrrgdrrgargg?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9874329 is divided by 3756?\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9779543, 19559085, 29338625, 39118163, 48897699, 58677233?\n\"Answer: -x**2 + 9779545*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22031793541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 1568*a**2 - 583781*a + 24502742.\nAnswer: -(a - 38)*(a + 803)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161*b**3*g**4 - 8*b**3 - 205*b**2*g - 4*b*g + b + 12444*g**4 + 5*g wrt g.\nAnswer: 1932*b**3*g**2 + 149328*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/120 and 7\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgggggrggggrgggrggg. What is prob of sequence rgrg?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 26*l + 127798. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 37, -101, -7 in decreasing order.\nAnswer: 37, 2, -1, -7, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 395108 and 253998.\nAnswer: 3555972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -10. Let u = b - 4. Suppose -y + u*y - 30 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 - 3*r**2 - r - 7. Let v = 127 + -117. What is the remainder when x(-3) is divided by (v - 9)\/((-3)\/(-51))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148570 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-693)\/15)\/7*(-8)\/(24\/140*7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126796.\nAnswer: 2, 31699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1805*h + 1801*h + 32. What is the greatest common factor of 4560 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-18)*h\/(h*h**(6\/5)*h))**(-16) assuming h is positive.\nAnswer: h**(1616\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25463, -26896, -28329, -29762?\nAnswer: -31195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*s**5 - 960*s**4 - 6148*s**3 - 14784*s**2 - 11898*s - 3024 = 0. Calculate s.\nAnswer: -8, -7, -3, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g - 70. Let p(t) = -t + 17. Give -9*p(x) - 2*s(x).\nAnswer: -x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 91 + -39 - ((0 - -1) + 53)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, -3, 69 in decreasing order.\nAnswer: 128, 69, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - j + 3 + 2*j + 1 - 1 - 6*j + 2*j + 3*j + (4*j + 4*j - 6*j)*(1 - 4 + 1) + 4*j - j - j + 2*j + j - 4*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5)*(-6)\/(-4). What is the nearest to -1\/3 in v, 2, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1024\/(-96))\/(2\/(-510)). What is the highest common divisor of 32 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29577585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506183632.\nAnswer: 2, 23, 29, 47431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -744631, -744632, -744633, -744634?\nAnswer: -744635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699.5092 decades to centuries.\nAnswer: 69.95092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, -1 in descending order.\nAnswer: 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 8*u + 3. Let j = 10 + -16. Let o be g(j). Let h(d) = -11*d - 4. Let q(z) = 5*z + 2. Calculate o*q(s) - 4*h(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 541*c + 5975. Calculate q(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/55273, 347, 4 in decreasing order.\nAnswer: 347, 4, 2\/55273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029190 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29049 divided by -28\nAnswer: 29049\/28","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and -8\/2632779.\nAnswer: 5265558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 7. Give l(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -78. Solve 5*m - n = 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1886*o + 26495. Give k(-14).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*q - 5*k + 4, 0 = -4*q + 4*k + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.280905 tonnes?\nAnswer: 280905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/11 + -1\/33. Let o(x) be the third derivative of 2*x**2 + 0*x + 0 - u*x**3 + 1\/24*x**4. Differentiate o(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*o**5 - o**4 - 1204*o**3 - 777968*o**2.\nAnswer: -3180*o**2 - 24*o - 7224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 - 113.106. Let d = v - 20.194. Let j = 20 + d. Which is the nearest to 0? (a) -4 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from zpmpmmm.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 22 + -8 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175\/2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 6*j**2 + 354*j + 2746. Determine i(-8).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 10 - 10 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:02 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 3. Let s be y(0). Let c(v) = 11*v + 7. Let u be c(s). Let n = u - 33. Calculate the least common multiple of 11 and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 7 = -i, 0 = 5*t - 321*i + 316*i + 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/15 - 4558*h**2. Let j(r) = -3*r**2 + 39. What is v(j(d))?\nAnswer: 36*d**4 - 936*d**2 + 6084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -452, 3, 0 in ascending order.\nAnswer: -452, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**3 + i**3 + 0 - i - 5 - 2*i**2 - 3*i**2. Let y(h) be the third derivative of -h**6\/120 + h**5\/60 + h**3\/6 + 2*h**2. Give -5*y(d) - z(d).\nAnswer: -2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 6*f - 8. Let g be z(3). What is the second derivative of g - 19 - 2*w + 6*w - 4*w**2 wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1564521, 3128873, 4693057, 6257073?\nAnswer: 7820921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - ((2 - -12) + -7)) + -18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1911\/(-651) - 8\/124)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let q be y(0). Let g(a) = -7*a**2. Let t be g(q). Let d be (-17)\/t - (-4)\/(-2). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.550855 decades?\nAnswer: 306.1026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kykw when four letters picked without replacement from ykkkykkyyywkyy.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 6*r - 4. Let m be q(3). Suppose 5*w = m*y + 55, -4*w + y = -4*y - 48. Let z(l) = -l**2 + 7*l + 7. What is z(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121424 = 3*q + 3*m + 2105, -4*m = 5*q - 198872. Is q a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 3*q + 2*q**2 + 6 + 3*q**2 - 5. Let u be x(-4). Let g = -4.47 + 0.47. Sort g, 0.1, u in increasing order.\nAnswer: g, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4*w + 7, 5*q - 15 = -w - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -568 - -1065. Does 71 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4148 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 != -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 plus 0.003?\nAnswer: 1.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/((-18392)\/132)*-11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2527 - 1504. What is w rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/(-4))\/9)\/1*21\/(-84)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3459962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-6*3\/(-9)). Suppose u - 6 = 3*f. Let c be f\/(88\/(-20) - -4). What is the second biggest value in 1.1, c, 0?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -59. Suppose -3*j - 2*w = -14, 0*j - 5*w - g = -2*j. Which is smaller: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**2 - 3*g - 1. Let p(v) = -2*v + 4. Let q(z) = z**2 - 8*z + 10. Let r be q(7). Determine r*p(n) + 4*u(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3905 by -1.\nAnswer: -3905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -45715631*-1\nAnswer: 45715631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 + 283*l**5 - l**2 - 1535.\nAnswer: -240*l**3 + 16980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbhhh. Give prob of picking 4 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(475) + (sqrt(475) - 1*sqrt(475))))**2.\nAnswer: 100*sqrt(19) + 11879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*(-18012)\/(-10507)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/7 + 1378*p**2\/7 + 48248*p\/7 = 0.\nAnswer: -652, -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823783?\nAnswer: 13, 53, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*k = -1010*k + 17 + 58 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -2 + 7 + 5 + -9. Let m = 0.48 - -19.52. Let v = -13 + m. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:06 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Let f = 495 + -474. Let k be (16\/(-3))\/4*f\/(-266). What is the nearest to k in 1, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 61 = 5*p, p = -5*r + 9 - 32. Let j(s) = s**3 - 15*s**2 - 4*s - 25. Let b be j(19). Let l = p + b. Round l to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4182605?\nAnswer: 5, 7, 119503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7*a = 178, -158 = -4*r - 6*a + 3*a. Suppose 0 = -4*l + 43 + 353. What is the greatest common divisor of r and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*x - 11 = 0, 0 = 4*y - 3*x + 4*x - 31. Suppose -3*i - y*i = -720. What is the lowest common multiple of 66 and i?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 57. Suppose -4*t - g = t. Let m = -220 - -662\/3. What is the nearest to m in t, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -257 and -255 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 0.5, 2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -2 (b) 3\/8 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*f + 8 = 0, p - 8 = -2*f - 4. Solve 0 = c + j + 4 - p, -4 = 4*c + j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.37 (b) -3 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-72)\/(-20))\/6)\/((-2)\/(-20)). Let r(j) = -j**2 + 2*j + 27. Let m be r(g). Factor -2\/11*o**2 + 2\/11 + 2\/11*o - 2\/11*o**m.\nAnswer: -2*(o - 1)*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {u: 2, k: 1, o: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.1. Let i = -225\/7 - -227\/7. What is the closest to i in 1, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28475, -114135, -256983, -457013, -714219, -1028595, -1400135, -1828833?\n\"Answer: z**3 - 28600*z**2 + 133*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*5\/(-30)*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/2, -39?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 23434994 = -59*q - 243815994. Round q to the nearest 10000.\nAnswer: -3150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 642268517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + ((-4 - 1) + 51 - (12 + -9 + -7)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48542749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = 3. Suppose 2*j = -3*k + 413, 7*k + 15 = z*k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385 divided by 5?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.9699 rounded to zero dps?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*o + 515 = -186*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 70. What is the nearest to -11 in p, -0.4, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 23 = -22027*x + 22026*x, -3*z - 75 = 30*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1463*m - 18 + 1360*m + 16.\nAnswer: 2823*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-390))\/((-4)\/(-18)). Are k and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) 0.05 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = -5*b. Suppose 3*j = -2*q - 3*q, 2*q + 4*j = 0. Solve q = -b*a + 6*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 9. Let m be z(-13). Let h(l) = l**3 - l**2 - l. Let b be h(m). Let k = 10 + b. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708443 a multiple of 347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 57008.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 187621, 5 in ascending order.\nAnswer: 2, 5, 187621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 4. Let v be m(-2). Suppose v*x + x = 15. Solve -3*n + 4 = -x*z, 15 = 2*z + z + 4*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i + 0*i)*(-266*i - 43 + 22 + 21).\nAnswer: -532*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -19 - 1\/3*b + 1\/3*b**3 + 19*b**2 = 0. Calculate b.\nAnswer: -57, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -24. What is the least common multiple of 22 and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -542 - 3124. Let o be 16\/56 - k\/(-21). Solve -4*c + o*c + y = -2, 0 = c + 3*y + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 8. Let r(u) = -u**2 - 6*u + 3. Let o be r(-5). Let p be c(o). Solve -2*x + n = x - 13, -3*n + 6 = p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279822 - 11*h - 20*h - 279822 + 1119285 - 13*h - 279821 - 279822.\nAnswer: -44*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 8*u - 9*u**2 - 203*u**2 + 10*u)*(3 - 2 - 2) in the form g*u + x*u**2 + h and give x.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -671 + 604. Which is bigger: -66 or t?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czczzz. What is prob of sequence zcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m - 20*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 6*b - 2. Let a(k) = 2*k**2 + 5*k - 2. Suppose 3*i = -4*n + 26 - 0, 2*i + 1 = n. Determine i*f(j) - 3*a(j).\nAnswer: -2*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 801 - 786. Calculate the remainder when 128 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = 4*i, -4*w - w = -3*i - 21. Suppose y + 2 = -2*d, 0*y + 4*y - 4*d + 8 = 0. Let u be 0 + (y\/1)\/2. Put i, 7, u in increasing order.\nAnswer: i, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*s - 14 = s, 2*t + 5*s = 19. Sort 4, t, 3 in ascending order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -872 + 2018. Let y be v*((-9)\/(-6))\/3. Suppose -20*o + y = -17*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -560*k + 564*k, -3*q + 9*k + 63 = 0. Let i(p) be the second derivative of -43*p + q + 1\/12*p**4 + 7\/6*p**3 + 3*p**2. Calculate i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 - 36*m**3 - 324*m**2 - 540*m = 0.\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354 and 2950.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 861*b + 1723*b = 863*b + 5, -248*j + b = -3*b + 5*b + 746 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + 0.47. Let d = -1 + -5. Let c = d + 5.6. What is the closest to -1\/4 in c, w, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8131.2354 rounded to 1 decimal place?\nAnswer: -8131.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824 is divided by 450.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 3 (b) -1\/4 (c) 3\/2 (d) 0.5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2*u + 5)*(-2*u + 0*u + 3*u)*(-1 + 7 + 3)*(-1 - 1 + 4) to the form k*u**2 + y*u + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -49. Suppose 2*b = w - 19, y*w - 50 = 4*w - 5*b. Solve 0 = -3*l - w, 2*d + 5 = -4*l - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1288 = 165*z + 19*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 27*v**2 + 15*v + 20. Determine f(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 1, n: 1, s: 2}. Give prob of sequence sesn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1706595394 by -1.\nAnswer: 1706595394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 4076*z**3 - 2033*z**3 - 2045*z**3.\nAnswer: -2*z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263 is divided by 128.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.5, -1366, -7, -0.5 in decreasing order.\nAnswer: 4, -0.5, -2.5, -7, -1366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00848974 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 2 - 10 + 12.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-36)*-3)\/((-2)\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 10:39 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1015502 + 1453?\nAnswer: -1014005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -502\/3 + 11029\/66. Let d = -1662\/7 - -29671\/126. What is the common denominator of d and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h**3 - h**2 + 3*h - 5. Let q(t) = -16*t**3 - 2*t**2 + 5*t - 9. Give 5*c(x) - 3*q(x).\nAnswer: 8*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-138)\/(-115))\/(32\/(-70)))\/((-135)\/60).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a*c**3*u + 2*a*c**3 + 18*a*c*u + 17*c**3*u - c**3 wrt a.\nAnswer: 4*c**3*u + 2*c**3 + 18*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.1, 0.84, 4\/3?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5508*j**2 - 9*j + 136*j + 5507*j**2)*(2 + 0 - 3)*(3 + 0 - 1).\nAnswer: 2*j**2 - 254*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1376775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 652153816 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27051 and 48138.\nAnswer: 6113526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49465, 97640, 145815, 193990, 242165?\n\"Answer: 48175*u + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s = 4*k + 31*s - 24, 100*k - 600 = -5*s for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 2. Which is the second smallest value? (a) k (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*u + 145959 = -11*u + 669294. What is the smallest common multiple of u and 834?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1138)\/8535)\/((2\/1)\/4)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1241 and 9809?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184*j - 280 - 3*j**5 - 544*j**3 + 676*j + 279 wrt j?\nAnswer: -60*j**3 - 3264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76496.13 micrograms to milligrams.\nAnswer: 76.49613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by (17 - 12) + (-1216)\/(-19)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/11))**(-44) assuming m is positive.\nAnswer: m**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2004\/7 - 286. What is the closest to b in 1.2, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 2*a)*((31 - 9 - 12)*(3*a - 4*a + 2*a) - 14*a + 46*a - 6*a).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82596397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20805, 41620, 62449, 83298, 104173, 125080, 146025, 167014?\nAnswer: 188053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*(-1)\/(-3))\/(20\/120). Let z be 17\/c - (42\/12 - 3). Is z bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = -4*m + 25, -5*m + 2*h + 31 = 0. Let q = 0 + m. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29297376 and 18?\nAnswer: 29297376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 + 4. Suppose 0 = -82*n - 474 - 474 + 948. Which is the fourth biggest value? (a) 6 (b) q (c) n (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 - 2*j**2 - 2*j**2 + (-3 - 1 + 2)*(-6*j**2 + 4*j**2 + 4*j**2) + j**2 + 0*j**2 - 2*j**2 + (2*j + 2*j - 2*j)*(-5*j - 3*j - 2*j).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*o = -24, 2*p - 5*o + 8*o = 3. What is the lowest common multiple of (10 - 3)\/((-4)\/(-8)) and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121 - -34?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10669 is divided by 333.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3580\/4475)\/(1\/(-15)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/7 (c) 1 (d) 3\/4 (e) -5\/44 (f) 7 (g) -82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100001100111000001 (base 2) to base 9.\nAnswer: -10561112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 22*h**2 + 2150*h - 30. Give w(-36).\nAnswer: -2262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 55*m - 62. Let q be n(2). Let j be 12\/q - (-2353)\/(-4). Round j to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-6))\/(1484\/(-159)))\/(3\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/460 - -233\/1380. Let w = -137\/4 + 37. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from tmmmmmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44649580 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159583 and 70861.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, -6, -238, -622, -1158?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(-18) - (-10)\/(-4). Suppose k = -4*f + 2*m + 2238, 0 = -3*f - 6*m + m + 1698. List the prime factors of f.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5794808?\nAnswer: 2, 53, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-42)*(-56)\/(-12) + 455\/(-630)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.88575 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u**2 - 33*u - 127. Let v(x) = -27*x**2 - 50*x - 191. Let h(p) = -5*v(p) + 7*w(p). Is h(-5) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*a**3 - 302*a**3 - a**2 + 0*a + 0*a.\nAnswer: -93*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 59*f**2 - 75*f - 258. What is a(28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + (3 - (2 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1568021, 1568030, 1568031, 1568012, 1567961, 1567866, 1567715?\n\"Answer: -2*v**3 + 8*v**2 - v + 1568016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.5, 5, -21, 68?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 35711789\nAnswer: 3571178.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/7 - 104*a**2 - 10020*a\/7.\nAnswer: -4*a*(a + 15)*(a + 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + (5 - (11 + 30 + -10)) + 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 - (-31 - (-23 - 31))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/5 + -2\/5. Let n = 8 + -7. What is the nearest to -0.6 in n, -3\/8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10510 + -5131?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*m - 71*m - 60*m + 398*m - m**2 - 2*m**2 in the form a*m**2 + v + x*m and give x.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.564539 milliseconds in nanoseconds?\nAnswer: 9564539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**4 - 19698*a**2 - 391353*a?\nAnswer: 84*a**2 - 39396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -718 + 1622. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose 4 + 16 = a*h. Let l = 16 - h. Solve -l - 10 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32513759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 823006 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/4 of a century?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*w - 97*w - j = -149, 4*w = j + 621. What is the highest common divisor of w and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -514, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 80?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/8 - 2*a**3\/3 - 51*a**2\/4 + 27*a + 3300. Suppose b(y) = 0. Calculate y.\nAnswer: -6, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6758 - 81239\/12. Find the common denominator of r and 82\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 12:54 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104350325 + 30?\nAnswer: -104350265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 99. Let c be (2 - -2)*(-6)\/8. Let u be (-5)\/2 + c\/6. Which is greater: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6462263*m + 16*m**2 - 8*m**2 - m**2 - 6462263*m.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 5, -1114\/5, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**5\/20 + 3*d**4\/16 - d**3\/4 + d**2\/8 + 42. Factor l(k).\nAnswer: -k*(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*2\/2 + (93851 - -28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1e62fc?\nAnswer: -1e62f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287013, -287012, -287015, -287022, -287033, -287048, -287067?\nAnswer: -287090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425080*h**2 - 403007*h**2 + 270897*h**2.\nAnswer: -557190*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4019\/890 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050913968 to six decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8206891*y**3 - 8207706?\nAnswer: 24620673*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26469.12 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 12*m - 29. Let x be v(5). Solve -3*u = -x*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p + 15. Let c be w(-2). Suppose -c*h - 61 = -5*f, 4*f - 54 = 3*h + 2*h. Calculate the smallest common multiple of 2 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*w**3 - 7*w + 23 wrt w?\nAnswer: -624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*n - z, -n + z - 4*z = -6. Let j(l) = 12*l**2 + 7*l + 5 - n*l - 13*l**2. What are the prime factors of j(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 + 416*a**2\/7 + 12748*a\/7 - 91680\/7.\nAnswer: (a - 6)*(a + 40)*(a + 382)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {e: 1, c: 1, q: 1, z: 5, r: 6, h: 6}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**4 + 2*h**2 - h + 1. Let i(s) = -4*s**4 - 2*s**3 - 6*s**2 + 12*s - 2. Let k(c) = -i(c) - 2*p(c). Find the third derivative of k(v) wrt v.\nAnswer: 144*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 + 8)*(1 - 1 - 1)*(0*m**2 - m**2 - m**2).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 3*g**2 + 3*g + 4. Let k(s) = -s - 14. Let f be k(0). Let y = f - -18. Let v be n(y). Solve -x + v*x = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2 + s + 4. Let u be v(0). Suppose f - 12 = u*f + 4*m, 4*m = -4*f - 16. Put f, 5, 0.07 in increasing order.\nAnswer: f, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 236*o**3 + 228*o**2. Let s(p) = p**3 - 6*p**2. Give -6*c(h) - 228*s(h).\nAnswer: -1644*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*t**2\/5 - 3614*t\/5 + 7364\/5.\nAnswer: -2*(t - 2)*(17*t + 1841)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 0.2, 0, -2\/15.\nAnswer: -2, -2\/15, 0, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Suppose -104 = 3*h - 5*x, -h + v - 32 = 3*x. Let s = -33 - h. Solve -5*n + 3 + 7 = s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9799*s**2 - 6*s + 40. Let c be t(-10). What is c rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.92 - -0.08. Let a = -0.2 - 7.8. Let j = a - -8. What is the nearest to j in w, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -3\/20*u**5 - 1\/2*u**3 + 0 + 1\/2*u**4 + 0*u**2 + 6*u. Factor g(c).\nAnswer: -3*c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7950200 rounded to the nearest 100000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n. Let g(r) = -871234*r. Calculate o(g(b)).\nAnswer: -6969872*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-7 + 4 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let j(s) be the third derivative of -s**5\/120 - 7*s**4\/24 + s**3\/6 - 3*s**2. Let n(u) be the first derivative of j(u). Let w be n(-12). Give k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/2*v + 9\/2*v**3 - 15*v**2 - 2.\nAnswer: (v - 4)*(3*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*n**2 - 2*n**2 - 24*n**2 + 3*n**2 to x + u*n + d*n**2 and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 1244*a - 7536.\nAnswer: 2*(a - 6)*(a + 628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657577*d - d**3 - 328789*d - 328788*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11455 + 11461. Let i(f) = -f**2 + 4*f + 12. Determine i(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42\/17 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 - 2.2. Let d = 0.1 + p. Let f = -5 - d. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-72)\/(-86)) + 4*(-6)\/(-32)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*w = -494, -131 = -k - w - w. Let z = -225\/2 + k. Let q = 620\/3 + -6775\/33. What is the common denominator of z and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 5. Let j(z) = -6*z**2 - 14*z - 14. Let n(c) = 2*c**2 + 5*c + 5. Let o(l) = q*j(l) - 14*n(l). Let s(m) = 2*m**2. What is o(s(b))?\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10.8. Let a = n - 10.2. Let u = 8 + a. What is the closest to u in 1, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 943 = 143 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(208) + 0 - (2 + 1 + sqrt(208))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + -6*3\/6. Let i be (-2549991)\/(-15) - 6\/x. Suppose 0 = 4*y + 2*m - 7*m - 340000, 2*y - 2*m = i. Round y to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 301*y**2 + 6099*y + 10729. Calculate w(279).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*f**3*h**2 - 15192106*f**3*h - 1579262*f**2*h**2 - h wrt h.\nAnswer: -50*f**3 - 3158524*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/11, -0.045?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16314 is divided by 116?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2\/2 + 4*d - 6. Let f be a(6). Which is smaller: f or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 573302 - -22?\nAnswer: 573324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a2 + 86?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**5 - z - 6. Let g(k) = 45*k**5 - 10*k - 55. Let v be 3 + ((-104)\/(-1))\/2. Let s(o) = v*d(o) - 6*g(o). Find the second derivative of s(b) wrt b.\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vggggggyggyvvggyyvg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (13 - (2 + (3 - -11)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9060 is divided by 1224.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1278?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -5327.1.\nAnswer: 5327.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 6136586816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 11) in base 2?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -r - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13651275, 13651277, 13651281, 13651287?\n\"Answer: d**2 - d + 13651275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*(-7)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let d = -1.9 - g. What is the closest to 0.1 in 0.5, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/4 + 1719*q\/4 - 148680 = 0. What is q?\nAnswer: 480, 1239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 649 - 467. Calculate the highest common factor of w and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f4 (base 16) in base 11?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15993.332 rounded to the nearest 100?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 838*l**2 - 1696*l - 13442. Determine m(-840).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + p. Let n be t(1). Let u = 0.9 - 1.3. Let r = u + -0.1. Sort -1\/4, r, n.\nAnswer: n, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (5 - 16) + 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -410311*b. Let t(k) = 587*k**2 - k. Give t(h(y)).\nAnswer: 98824453515227*y**2 + 410311*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a decade in months?\nAnswer: 2960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25821.18 take away -10.22?\nAnswer: -25810.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + (1 - -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1736286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Suppose 3*p + 6 = -2*h, -5*p - 983 = -4*h - 995. Solve p*o + 3*o + 4*r - 18 = 0, 2*o - 3*r + m = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let v(q) be the third derivative of -q**4\/24 - 17*q**3\/6 + 45*q**2. What is c(v(z))?\nAnswer: -z**2 - 34*z - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61.9 - 66. Let r = q + 0.1. Let f = -79 - -84. Which is the smallest value? (a) r (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = 0, 2*u + 12 = 2*j - 6. Let f be (40\/(-6))\/(-5)*18\/j. What is the greatest common divisor of 7 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2785 + 2594. Is 1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d + 4. Let j = 0 + d. Let w = 101\/240 + -1\/48. Is j <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 421056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1376 * -0.3.\nAnswer: 412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 939 + -941. Is u greater than -2568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 112933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*t**5 + 6*t**4 - 14113*t**2.\nAnswer: -14760*t**2 + 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, r: 4, x: 1, n: 4}. What is prob of sequence ddrx?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10242*i**3 - 9482*i**2?\nAnswer: -61452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:06 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 6, s: 2, p: 6}. Give prob of picking 1 u and 2 p.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11629 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 18 - 3. Let n be (32\/p - -4) + 516\/21. Find the second derivative of -49*k + 83*k + n*k**4 + 12*k**4 wrt k.\nAnswer: 432*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -584181a + -4?\nAnswer: -5841823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 314 and 23248560.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97878465 by 2745.\nAnswer: -35657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*z - 40, -5*z - 3*m - 19 + 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + (sqrt(304) - (sqrt(304) + -2)) + sqrt(304) + sqrt(304))*-1)**2*5.\nAnswer: 240*sqrt(19) + 13700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/40*-4)\/1*10575\/25380?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 6 = -12*r, 0 = 2*p + 4*r - 39550. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1. Let b(l) = 2*l + 4. Let g(k) = -b(k) + 4*n(k). Let j be g(2). What are the prime factors of (-16 - -2)\/(2 + j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-4))\/(2\/4). Suppose 2*l = -k*l + 84. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 - 152*j**2\/7 - 310*j\/7 - 156\/7.\nAnswer: 2*(j - 78)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.29915513 rounded to 3 dps?\nAnswer: 55.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*b = -845*b + 429 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 1. Let u be s(-1). Suppose 4*h - 24 + 16 = u. Suppose 0*n + 0*n**3 + 0*n**h + 0 - 2\/5*n**4 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Let h(r) = -r**2 - 1 - 3 - 9*r - 5*r + 4*r. Let c be h(-4). Solve 3*u + k*u = -c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - l + 1. Let d(b) be the first derivative of -35*b**3\/3 + 2*b**2 - 6*b + 363. Determine -4*a(p) - d(p).\nAnswer: 39*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28863 + -28937.969. Let f = -230 + 155. Let v = f - l. What is v rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2. Let k(q) = -44*q**2. Determine i(k(s)).\nAnswer: -1936*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43874*k*o - 182493*k + o wrt o.\nAnswer: 43874*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + 77. Suppose j - 5*d = -2*j + 25, 0 = 4*j - s*d - 25. Let z(c) = -c - 4. Give z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14811\/8 - -1851. What is the second smallest value in -4, 2\/19, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*k = -g, -3*k = 4*g - 14. Suppose 2 + 6 = g*n, -2*n = 3*y - 3797. What are the prime factors of y?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(66)\/sqrt(150))**2 + -4*(sqrt(11) - (sqrt(11) + (sqrt(33)\/sqrt(3) - sqrt(11))*-5)**2) + -1.\nAnswer: -4*sqrt(11) + 1161\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 + 2*a**2. Let v(l) be the first derivative of 15*l**2\/2 - 53. Calculate f(v(b)).\nAnswer: 225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 + 0.07. Let d = -2.4 - x. What is the smallest value in 3, d, 2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 8:16 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*r + 20 = 0, -9*r = -8*r. Sort 11, p, -2 in ascending order.\nAnswer: p, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b + 4*b - 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 80914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**5\/300 + o**3\/30 - 2*o**2. Suppose f(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 1150132?\nAnswer: -1150166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-2)*276\/9 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*t**3 + 342*t**2?\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430667837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56, 137, 260, 425, 632, 881, 1172?\n\"Answer: 21*v**2 + 18*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 - d + 1. Let n be b(3). Let l = 53 + n. Let o(t) = -9*t**3 + 6*t**2 - 7*t - 4. Let u(y) = 4*y**3 - 3*y**2 + 3*y + 2. What is l*o(m) - 7*u(m)?\nAnswer: -m**3 + 3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1429, 2613, 3811, 5029, 6273, 7549?\nAnswer: 8863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b**3 - 2*b)*((0*b + 3*b - b)*(3*b - 2*b + 0*b) + 3*b**2 + 3*b**2 - 4*b**2 + 5*b**2 - 7*b**2 - 7*b**2 + b**2 + 2*b**2 - 5*b**2).\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11672281 is divided by 501.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/125)\/((-2*1)\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 5637642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.3, 1\/4, 2\/17, -1\/22, -54, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + k**2 - k + 9. Let c be n(0). Suppose 0 = -46*r + 66*r - 1460. Suppose -17 = -c*i + r. Solve 0 = 11*m - 6*m + i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klll when four letters picked without replacement from {k: 12, l: 7, m: 1}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280300928 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 28. Let y be j(15). Solve 4*n - y*v = -4*v - 20, 4*n - 2*v = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(1\/2). Let f = 145 - 3337\/23. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 6070166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 + -19.14. Let c = 18.8 + f. Let w = -5 + 4.6. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 360*y**2 - 121*y**2 - 2*y + 3*y**3 - 118*y**2 - 119*y**2 - 4*y**4 to the form i + x*y**4 + r*y**2 + o*y + g*y**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416 a factor of 715849851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + 467?\nAnswer: 4c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-369)\/(-18)*(-60)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*((-180)\/25 - -5). Find the first derivative of -w*n + 643*n**2 - 640*n**2 - 183 - 2*n wrt n.\nAnswer: 6*n - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5 - d - d + 4 - 2. Let l be 116 + 2 - -4*(-2 - -1). Suppose 8*m + 11*m = l. What is v(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518 divided by -4358.\nAnswer: -259\/2179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247717379 divided by 307.\nAnswer: -806897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = 2*i, 5*l - 6 = -i - 28. Sort -3, 4, l, -2 in ascending order.\nAnswer: l, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(4*((sqrt(95) - (sqrt(95) + (sqrt(95) - -2*((sqrt(95) - 1*sqrt(95)) + sqrt(95))) - sqrt(95)))\/sqrt(5))**2 + -4)*6.\nAnswer: -7197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from ooonooooonnoyooo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/6*6\/10. Let a = 2 + k. What is the closest to 2\/3 in -5, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 6*g + 11. Suppose 13*t - 480 - 2276 = 0. Let v = -220 + t. Calculate d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -4787.54?\nAnswer: -4787.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 3*n)*(-4*n - 2*n + 4*n)*(-1 + 7 - 1)*(8 - 5 - 1) + (-4*n + n + n)*(2*n - 2 + 2).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.45 and 66893?\nAnswer: 66893.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122013 - 330?\nAnswer: 121023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/389640 and 37\/21392.\nAnswer: 5454960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7521217.\nAnswer: 11, 683747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20598251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21987390*b**2 + 28338917.\nAnswer: -43974780*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**6\/45 + 2*w**5\/25 + w**4\/10 + 2*w**3\/45 - 14. Factor j(a).\nAnswer: 2*a**2*(a + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9842045*d**2 - 42090*d + 45 = 0 for d.\nAnswer: 3\/1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-11)\/d)\/d**(2\/7)*(d\/((d\/d**(-5))\/d))**28 assuming d is positive.\nAnswer: d**(-863\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/25, -4, -2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2 + 3 + -4). Suppose 4*f + 5*c = 17968, 0 = -f + o*c + 5042 - 567. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1836 and 83125206.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 12*g**2 + 11*g + 5. Let p be r(-5). Let m be 0 - (0 + -4 + p). Suppose -850 = -14*z + m*z. What are the prime factors of z?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 20. Calculate the remainder when 38 is divided by (h - -4) + (-4 - -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 0*u**2 - 3*u**2 + 0*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 + 37*d + 23. Let x be o(13). Which is the second biggest value? (a) 0.05 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvo when four letters picked without replacement from vvvovvvvvvvvvovvov.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(-6*(sqrt(3) + 3 + sqrt(3) + 0) - (sqrt(243)*2 + 0 + sqrt(243)))*-5)**2.\nAnswer: -4398300 - 1263600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46.55*-1518.86\nAnswer: -70702.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608722?\nAnswer: 2, 223, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9345*u - 9350*u + 10 = -2*x, -16*x - 3*u = 166 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1167 - 1166.9. Which is the closest to 1? (a) 1 (b) 6\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from iowotibiitowwo.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1, 49, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 1215 - 95. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, y: 1, g: 6, r: 2, b: 2}. Give prob of sequence bggb.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:27 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -40, 1, 5 in increasing order.\nAnswer: -40, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36901 + 258305\/7. Which is the closest to n? (a) -27 (b) 0.5 (c) -0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2. Let z(s) = 4*s + 2. Let h(n) = -19*n + 38. Let u(g) = -h(g) - 5*z(g). Give u(q(w)).\nAnswer: -4*w**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 1, m: 1, d: 1, l: 1, j: 1}. Give prob of picking 1 m and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 10\/13 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q = -27*q - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*z + 8 = 0, 0 = 5*x + 4*z - 30067 + 30111 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 279. Let w = u - -264. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbdb when four letters picked without replacement from {n: 2, d: 7, t: 1, b: 2, z: 7}?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -108, -682, 2.\nAnswer: -682, -108, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 5}. What is prob of sequence uuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -16*s**4\/15 - 81574*s**3\/15 - 103825676*s**2\/15 + 377563306*s\/15 + 52060808\/5 = 0.\nAnswer: -2551, -3\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + r + 5, 2*w = 2*r + 127 - 123 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 73207*d**3 - 5*d**2 - 12*d + 31. Is l(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -10. Let x(g) = 24 - 9*g + 5*g - a*g - 4. What is the hundreds digit of x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1372 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4644 + -4482. Solve 158*p - 12 = r*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 145*a**4\/12 - 1192*a. Let d(q) = 25*q**2. Give d(b(n)).\nAnswer: 525625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/10, -4, -2\/51?\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28990970.86600213 - -28990971. Let s = 0.134 - n. Round s to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1c9524?\nAnswer: -1c9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1437 + 1441. Let v = 1.1 - 0.8. Let x = 0.5 - 0. Which is the closest to -2? (a) x (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/10)\/(5\/(-25)). Suppose 0 = -3*v - 2*a - 13, -4*v - 3*a - 18 = -a. Sort l, v, 4, -1 in descending order.\nAnswer: 4, l, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) -1\/5 (c) 1\/1454\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -0.1, 3, 0.6.\nAnswer: -2\/19, -0.1, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338742 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 14*h + 13. What is i(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -78 + 83 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 15816529*s**5\/2 - 63274070*s**4 + 300641319*s**3\/2 - 95050316*s**2 + 95486*s - 24 = 0?\nAnswer: 2\/3977, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 53\/7 - 21\/49\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7507380*k**2 + 461873*k?\nAnswer: 15014760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = w + 1 + 11, x - 3 = 2*w. Let b(d) = d - 2500. Let o be b(w). What is o rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*o + 4*o**5 + 3*o**4 + 75*o**2 + 81*o**2 - 156*o**2 wrt o?\nAnswer: 80*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 3*h - 3. Let m be y(4). Calculate the remainder when m\/(1\/4*3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216.0893 - -0.0107. Let u = -216 + j. What is the fourth smallest value in -7, 3, 2\/11, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0066 * -0.5\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/69)\/(30\/10 + -7)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:45 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/12 - a**3\/2 - 5*a**2\/2 - 9*a + 8. Let q(r) be the first derivative of j(r). Let s = -13 - -9. Calculate q(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5 + 9. Suppose -22 = -4*j + 2*q, -v*j - q = 2*j - 7. Solve 3*i - j = 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 67*o**3 - 3*o**2 + 3*o. Let z = 18 + -16. Let b be p(z). Suppose 4*h = 6*h - b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:58 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4 - 117\/9) + 1018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.34 - -1.34. Let j = 11.4 - 13.4. Which is the closest to t? (a) -8\/5 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*q + 297*q + 111280000 = 0. Round q to the nearest 100000.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 1 + 6 - 2*z**2)*(31 - 155 + 18).\nAnswer: 212*z**2 + 2650","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 15*h - 31)*(-122*h + 249*h - 186*h).\nAnswer: 885*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 9*k**2 - 23*k + 13. Let d be t(11). Suppose c = -d*c + 72. Solve -x + c = 4*o + 2*x, 5*o - 3*x = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q + 4*u + 17, 3*q = u. Let p be (-14)\/(-63) + (-46)\/(-36). What is the nearest to q in 1\/5, -4, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s + 4*c, -c = -2*c. Solve s*n + 2 = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5583 + 6256. What is the remainder when l is divided by 99?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 59539*l\/4 + 416675\/2.\nAnswer: (l + 14)*(l + 59525)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24115.\nAnswer: 5, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4803, 9597, 14391, 19185?\nAnswer: 23979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6501 * 14.2\nAnswer: 92314.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1567*-141\nAnswer: -220947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/13, 1\/4, 32\/43 in descending order.\nAnswer: 32\/43, 1\/4, -18\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5945 and 344810?\nAnswer: 344810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(250\/(-4)))\/((-8)\/(-10))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + (28 - (14 + 8)) + 5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3 - 163*p**2 + 10*p + 3740.\nAnswer: -6*p**2 - 326*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272511697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 336989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -21. Solve -5*s - 4*l = -21, -2*s + q*l + 14 = -l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-1\/5)\/i)\/i*i)*i**(2\/5)*i*i**(-3\/10))\/((i**(-3\/2)*i)\/i*i*i**0)**(13\/5) assuming i is positive.\nAnswer: i**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y + 5, 3*y = -2*b - 1. Suppose -2*p - o + 17 = 0, 0*o + 4*o - 5 = p. Suppose p*v - 16 = 3*v. Calculate the remainder when b is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -15*w + 4*s + 237, 4*w - 909 = 3*s. Let q = 194 + w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1188 divide 8706543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**3 + u**3 - u**3 + (-986 + 986 - 59*u)*(u**2 - 2*u**2 + 4*u**2) to c*u**3 + k*u + h + b*u**2 and give c.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 - -158. Suppose -o = c*n - 4*o - 1297, -2*o - 8 = 0. Is 258 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 5*w + 102, 2*p - 2858*w + 5714*w = 2860*w - 82 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (4 - 4 - (27 + -25))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111768884.\nAnswer: 2, 79, 353699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 86, 130, 174, 218?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19080733?\nAnswer: 7, 2725819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -238962140 rounded to the nearest one million?\nAnswer: -239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27380 = -5*v - q, 93*q = -5*v + 89*q + 27365. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/15 - -2)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2063 + -2045. Let x be (110\/88)\/(15\/p). Factor 3\/2*g**2 + 0 + x*g.\nAnswer: 3*g*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.20646 + -3.20048.\nAnswer: -1.99402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21087\/(-4536) + -2 + 1. Let i = c + -1\/56. Calculate the common denominator of i and -1 + 77\/(-8) + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 105\/20 - 3\/(-4). Suppose -3*u = -0*u - j. Let l be (u - -2)*164\/8. Round l to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9 - 4*y**2 + y**2 + 5*y**2 + 9*y - 3*y**2. Let f be w(8). What is the highest common factor of f and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**26*m)**49\/((m*m\/((m*m**(-2\/31)\/m)\/m)*m)\/m*m)**(4\/3) assuming m is positive.\nAnswer: m**(40845\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8622501 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 -97*f = -73*f + 48. Let t be (f - -8 - 5)*3. Solve 1 = 5*g - b - 0, 4*g + t*b = -3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -529 + -487. Let t = q + 1737. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20870.4 and 0.5?\nAnswer: -10435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 14. Calculate the lowest common multiple of o and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuxf when four letters picked without replacement from {f: 3, u: 1, k: 4, x: 5, r: 1}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154140 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**9\/22680 - p**8\/5040 + p**7\/3780 + p**6\/540 + p**4\/8 + 9*p**2. Let s(h) be the second derivative of w(h). Factor s(m).\nAnswer: -2*m*(m - 1)*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 6*r - 3. Let y be g(5). Let f(l) = -5 - 10*l + 4 + y - 6*l. Let j be f(-7). Round j to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8127743716*w**2 - 721232*w - 16 = 0.\nAnswer: -2\/45077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95508456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + -6 + (7 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74198161*p**2 + 110*p - 75506?\nAnswer: -148396322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y**2 + 3*y**2 + y**2)*(y + 3*y - 3*y)*(6*y - 8*y - 12*y) - 14*y**4 - 32 + 32 in the form m*y**2 + b + f*y**4 + j*y + s*y**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 15*x + 74. Let d be l(-11). Suppose -70*c + d = -65*c. Calculate the highest common divisor of c and 570.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 3*j**2 + 7*j + 7. Let v be (-2)\/9 - 274\/(-18). Suppose 9 = 4*h - v. Is s(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -61. Let k be (-42)\/(-1) - (b + -26). Sort k, -4, -5 in increasing order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7\/30, -0.1, -22\/5.\nAnswer: -22\/5, -0.3, -7\/30, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 117422 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -658 + 1097. Let i = a + -440. Which is greater: -1.77 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-550)\/(9\/((-9)\/2))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5568*k**3 - 2*k**2 + 1140*k - 9. Let v(c) = 22277*c**3 - 9*c**2 + 4561*c - 38. Let b(s) = 9*l(s) - 2*v(s). Find the second derivative of b(y) wrt y.\nAnswer: 33348*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871790 is divided by 3785?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8281*b**3*z - 2*b**2*z**3 + 84*b*z**3 + 5*b + 9*z**3 wrt b?\nAnswer: -49686*b*z - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n + 253. Let y(q) = -q**2 - 8*q + 34. Let f be y(-9). Determine p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 37. Suppose 10 = 5*d, 4*d + 1 = f + 2*d. Let v be f\/t*-2*-1. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 10. Let l be w(-8). Let m(k) = 0 + 3 + k**3 - 5 - 4*k**l + 3*k. Let y be m(3). Put y, 2, -4 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7282422426 + 4*f**2 + 7282422426.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-18 - 5)) + -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026337 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*z - 52, 15*z - 4*i - 64 = 10*z. Suppose z*m + 87 = -9. Which is the nearest to 1\/2? (a) 2 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13916 and 3277076.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - g**2 - 2*g**3)*(27696 + 21924 - 30942) as k*g**2 + r*g**3 + j + x*g and give r.\nAnswer: -37356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, -4\/5 in descending order.\nAnswer: 24, 1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264231 and 446508?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 131*k**8\/336 + k**5\/5 + k**3\/3 - k**2 - 192. Find the third derivative of p(m) wrt m.\nAnswer: 7860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 - 15 = 0. Suppose -g = -3*f - 6*g + 2052, -f - c*g + 684 = 0. Let d = 1589 - f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j - 4*s, j - 2*j + 12 = -4*s. Solve -5*t = -j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 3 + -9 + 120\/10. Let m(n) = -n**3 + 8*n**2 + 9*n - 16. List the prime factors of m(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.39 + -0.79. What is the second biggest value in 0.3, -3, g, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -218, -434, -650, -866, -1082, -1298?\n\"Answer: -216*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + sqrt(171) + sqrt(171) + -2 - ((sqrt(171) + 0)*4 + sqrt(171) - (sqrt(171) + (sqrt(171) + -1 - sqrt(171)) + -3)))**2 + 3 + -4.\nAnswer: 12*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1318715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 52 = 212. Find the third derivative of 27*a**3 - 12*a**4 - 27*a**3 - w*a**2 wrt a.\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 18. Suppose 0*y + y = 5*w - 1555, -3*w - 3*y + 915 = r. Let p = -220 + w. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1 - -2))*(1 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 15*b - 31. What is the remainder when 126\/(-36)*352\/(-14) is divided by k(19)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -744*j. Let w(m) = 30246491 + 14*m - 30246491. What is w(v(d))?\nAnswer: -10416*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(66\/(-12))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -574321\/36 + 15952. Find the common denominator of 3\/((-30)\/4) + 904\/480 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -534566 and -1.\nAnswer: 534566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347 (base 9) to base 7.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (15 + -6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.04272\nAnswer: 0.2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + (16 - 32) + 41.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*o**3 - 62389*o**2 + 124742*o**2 - 62351*o**2.\nAnswer: 76*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 268, -5, 619 in descending order.\nAnswer: 619, 268, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, l: 3}. Give prob of sequence jjl.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 20. Let k = 5 + -5.4. Sort -1, 2, k, h in ascending order.\nAnswer: h, -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 339155 and 2610?\nAnswer: 6104790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -26. Let c(r) be the third derivative of -3*r**4\/2 - r**2. Is c(h) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 628 = -74*l - 724 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -676 by 338.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/27 (b) 14\/17 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1985407.\nAnswer: -5\/1985407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -814, -819?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/66 and 0 + 426\/(-1287) + (-12)\/78.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976012.8 litres in millilitres?\nAnswer: 976012800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(364\/78)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*k = 62 + 86, -2*u + k = -58. Calculate the smallest common multiple of 40 and (-348)\/(-9) - (-6 - u\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -2. Let n = 26 - v. Let p(w) = -14*w**3 + 14*w**2 + 3*w + 30. Let f(h) = -5*h**3 + 5*h**2 + h + 10. Let k(z) = n*f(z) - 4*p(z). Give k(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3 - 3. Suppose n = 8*v - 12*v + 756. Is 49 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134082 + 134082 + 375*r)*(-2 + 6 - 2)*(5*r**2 + 0*r**2 - 4*r**2).\nAnswer: 750*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441 (base 5) to base 12.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571575007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -546 by 14.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 219.49705 to 2 decimal places.\nAnswer: 219.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -5 (c) 20756\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 239, 782, 1833, 3560?\nAnswer: 6131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**5\/60 - 5*d**3\/6 - 6*d**2. Find the first derivative of g(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/19)\/q)\/(q\/q**10) assuming q is positive.\nAnswer: q**(174\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8397?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.47 and -513 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 614\/19 (b) 5\/72 (c) -2\/15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbcccxxxccacxxbpn. Give prob of sequence pa.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.2 or 403.53?\nAnswer: 403.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 541078679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 954 + -954.01998. What is d rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*k, 5*c = -2*k + 5*k + 3. Suppose -3*y + y + f + 14 = 0, -c*y + 2*f + 19 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - u**2 - 3*u + 4. Let o be n(1). Solve -4 = -o*k + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84315 + 215145. What is n rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107 + -194 - -76) + (89 - 0).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/44*((-3)\/15)\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13917512 divided by 3479378?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1\/5 (c) 2105.9 (d) 1\/9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:10 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - 17\/(-5). Let s = p + 8. Let j = 20 - s. What is the highest common divisor of j and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 7725828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**8\/672 + y**7\/140 - y**6\/80 + y**5\/120 + 3*y**2 + 4*y. Let c(u) be the first derivative of w(u). Factor c(j).\nAnswer: -j**2*(j - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274140121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 711 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: Calculate prob of sequence wa when two letters picked without replacement from {u: 1, f: 2, a: 2, c: 1, w: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxxq when four letters picked without replacement from gbxrxrq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2985 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-9 - -23 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -28, 53, 204, 431, 740, 1137, 1628?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 0)\/(6 + -5). Let s be (-4)\/(1*l\/(-9)). Let h(g) = g - 4*g + s*g. Let o(z) = z. What is h(o(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/2 + 158*s**3\/3 - 80*s**2 - 131. What is q in b(q) = 0?\nAnswer: -80, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25964 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1400 + 4?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.9 (b) -4 (c) -9 (d) 0.2 (e) 1 (f) -7.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -20, -17, -16, -17, -20?\n\"Answer: -c**2 + 8*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5.7858 times 0.0747\nAnswer: 0.43219926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131122 + 13222412?\nAnswer: 13041240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 5*h - 14. Calculate n(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-3) - (3 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = w. Let m = w + 0. Let d(u) = -2 + 7 - 2 + u**m + 6*u. Give d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 4. Let f be 0 + -2 + -2 + u. Solve 0*t - f*t + 4*m = -24, m + 23 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 18*j - 15*j. Let x = j - -191. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -12957.\nAnswer: -12962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -49 and -33.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 385851?\nAnswer: 3086808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7885 take away 3.074882?\nAnswer: 7881.925118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130830734\/11385 + -632052\/55. Let u = 2\/207 - g. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1382 = 2*h + 430. Let i = 1328 + h. Suppose -4*k = -i + 126. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 1, -106, -66 in descending order.\nAnswer: 1, -30, -66, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 9) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - v**2 + v - 2320. Let l be a(0). Let d = l - -3340. What is the least common multiple of d\/50 - (-4)\/(-10) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2481 = o + o, 2481 = 3*h - 4*o. What is the remainder when h is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2835337, 2835341, 2835345?\n\"Answer: 4*q + 2835333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 56944980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -n, -331*v - 3*n + 9 = -335*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 177200529.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 - 21*a - 16*a**2 + 28*a**2 + 39*a.\nAnswer: 34*a**2 + 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 5 + -5 + 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-310))\/((-4)\/(-30))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -850 - -440. Let x = c + 633. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85391553 is divided by 7115961?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u + 1. Suppose 6*y - y - 25 = 0. Suppose -11 = y*f + 4. What is the remainder when g(f) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, -2\/11, 4, 289?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 6*d**2 + d + 22. Let f be a(5). Suppose f*r + 5 = 9. Solve -2*t = -5*i - 3 + 26, r*t + 14 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (sqrt(192)*-1 + 3 - (sqrt(192) + (0 + -2 + sqrt(192))**2)).\nAnswer: -203 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2083 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 times -1274\nAnswer: 29.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (1 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(288) + (sqrt(288)*2 - sqrt(288)) + 1 - sqrt(288)) + sqrt(8)\/(4*sqrt(144))))**2.\nAnswer: 289*sqrt(2)\/3 + 83809\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (24\/594)\/((8732\/407)\/(-118))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*u = -83*u + 36. Calculate the remainder when 44 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -3 + sqrt(44) - ((sqrt(55)*-2)\/sqrt(5))**2) + -1.\nAnswer: -48 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2*v**3 + 8*v**2 - 34 - 17 + 38 + 29 as u*v**2 + h*v**3 + x + m*v and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/60 + 2*m**4\/3 - 11*m**3\/2 - 15*m**2 + 7*m. Let x be b(-18). Solve 4*y = -d - d - 20, 2*d = x*y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + 19\/(285\/(-50)). Let c(k) = -5*k**3 - k**2 + 4*k - 2. Let d(s) = -4*s**3 - 2*s**2 + 3*s - 1. What is t*d(u) + 3*c(u)?\nAnswer: u**3 + 5*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50)\/140*-7 + (-217173)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17*(1\/3)\/((-11)\/33). Suppose 5*h = w*h - 2784. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12344\/189 at least 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 - (-323)\/76. Let a = g - -14. Let m = -109\/6 + a. What is the second smallest value in m, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3722 bigger than 19.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -93, -105, -121, -141, -165, -193?\n\"Answer: -2*n**2 - 2*n - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4 + 0)*2. Suppose 5*v = -10, o*x = 2*v - 0*v - 71. Is 7542\/15 - 5\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3788)\/348496*(-16)\/3\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28485 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 1483.\nAnswer: -26\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f + 4*o + 24 = 0, 3*o + 9 = 0. Let q(s) = 2*s**2 + 2*s + 2. Let u be q(2). Sort f, 4, 0, u in decreasing order.\nAnswer: u, 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3 = 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 111*y**2 - 1634*y + 36. What is l(17)?\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763128 divided by 1?\nAnswer: 3763128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2195 at most as big as -2101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - l**2 + 3*l**2 - 2. Let v be a(-2). Find the second derivative of q**4 + 6*q - 7*q - v*q wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099 take away 4?\nAnswer: -3.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 471 + -28. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 15*b**2 - 637624190*b + 212541395 = 0.\nAnswer: 1\/3, 42508279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bidbdbbiibbdbbbbidb. Give prob of sequence bbb.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3743, -5, 2, -12, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1974*s**3 + 2*s**2 + 28*s + 5. List the prime factors of y(-3).\nAnswer: 139, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1695 + -1696. Do s and 32\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - w**3)*(-2*w + w - w) - 2*w**3 + 2*w**3 + 2*w**4 - 2*w**4 + 2*w**4 - 6*w**4.\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056.2*-2122.\nAnswer: 2241256.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:50 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 100487, 401928, 904311, 1607624, 2511855, 3616992, 4923023?\n\"Answer: -2*t**3 + 100483*t**2 + 6*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 17 = -13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:17 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:42 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-27))\/l**(4\/19) assuming l is positive.\nAnswer: l**(-479\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -73 - 25. What is the second derivative of 23*t**4 + 12*t - 21*t**4 + v*t wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -253, -262, -269, -274, -277, -278?\n\"Answer: u**2 - 12*u - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 246.535 + -246. Let y = -0.105 + a. Let g = 2.13 - y. Round g to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54737065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5536?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - i**3 - 11 + 2 - 5 - 15*i**2 - 2. Determine l(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j + 5 = -2*k, 0 = 5*k - 10. Let h be 1 - (5 + j)*-3. What is the highest common divisor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 226301769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5011 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(252) + (sqrt(252)*2)**2 + (-1 + sqrt(1008) - sqrt(7))) + (1*sqrt(35)*5)\/(sqrt(135)\/sqrt(3)).\nAnswer: 311*sqrt(7)\/3 + 6042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.015, -1, 20\/39 in ascending order.\nAnswer: -1, -0.015, 20\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p - a + 101886 = -17*p, p = -2*a + 50949. What are the prime factors of p?\nAnswer: 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/5 - 1099*j**2\/5 - 220*j.\nAnswer: j*(j - 1100)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a*a**(-4)*(a\/a**(1\/5))**(1\/30))**(-2\/27) assuming a is positive.\nAnswer: a**(-604\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (0 + 10 - (38 + -26))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 73*c**2 + 75*c**2 + 3*c + 1 + 1 - c**3. Let d be r(2). Solve 3 = -2*v - m - 2, 2*v - 3*m + 1 = d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 400 + -332. Is 1 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**3 + 2980*s**2 - 123860*s + 1335840 = 0.\nAnswer: 22, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/238 + -407\/5474. Let k = -177.7 + 178. What is the third biggest value in k, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 9912234473.189.\nAnswer: -9912234471.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + 110111010?\nAnswer: 110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048378 times 0.5?\nAnswer: -0.024189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/((-72)\/96).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1 - (-24 - -13)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.6 - 26. Let w = -5.4 - p. What is the third smallest value in -1, 0.4, w, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10218*m**4 - 22*m - 25490685.\nAnswer: -40872*m**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4, -2*d - 2*u = -0*u - 39314. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 9*t**2 - 12*t - 19. Determine w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/21*-82 - 6\/(-21). Factor -28*z**2 + i*z + 2 + 24*z**2 - 10.\nAnswer: -4*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 5) to base 8.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -q - 4 + 3, -4*a + 2*q = 28. Let o = a + 6. Find the common denominator of -115\/12 and (-1)\/o - (-51)\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941473615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.097 and -370084604381.\nAnswer: -370084604380.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:26 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30248 by 796.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55600 and 1248?\nAnswer: 4336800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43706 divided by -6.\nAnswer: -21853\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 701 + -700.9. Let v be 1*(-2)\/(-4)*2 - -1. Sort 1, c, v, -67 in increasing order.\nAnswer: -67, c, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/1995 + -1342\/5985. What is the closest to g in 1\/3, -2\/11, -92?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghahghuhlghhvvhggl. What is prob of sequence vvh?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -226644, -453684, -680722, -907758, -1134792, -1361824, -1588854?\n\"Answer: p**2 - 227043*p + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 65*b - 37. Calculate i(-1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1868825 and -0.1.\nAnswer: 186882.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3805 + 3809. Let o(n) be the second derivative of 54*n**3 + 324*n**2 + 3\/20*n**5 + 9\/2*n**p + 0 + 18*n. Factor o(q).\nAnswer: 3*(q + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 10*p + 80 = 62*p. Solve 2*s - p = r, 8*r - 5*s + 48 = -9*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven fifths of a centimeter?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*((r**(2\/45)\/r)\/r)\/r*r*r))\/r**4 assuming r is positive.\nAnswer: r**(-137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191*-0.17.\nAnswer: 32.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01622 or 50310?\nAnswer: -0.01622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(6\/5)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 99 = -10*f. What is the second derivative of -33*r - 29*r**3 + 75*r - f*r wrt r?\nAnswer: -174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8815 + 3978. Let f be (2\/4)\/((-22)\/212634). Let u = f - g. Calculate the common denominator of -21\/10 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145761 at least -145768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1014 and 1300546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, and 1 m when three letters picked without replacement from mttwwwmwtwtwmwwwww.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7318641634 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78*29\/(-754))\/((-336)\/(-928))?\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 244, 361, 476, 589, 700?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13233 (base 4) in base 2?\nAnswer: -111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7110*v + 1080669. Give b(-152).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23770455 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 14*k + 4 - 14*k to o*k + r and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -23.3. What is the closest to 0 in 1\/6, 1\/3, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -445 + 473.3. Let r = a - 28. What is the closest to 2 in 4, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99547.\nAnswer: 7, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 = -3*o + 3, 5*f = 5*o + 10. Let n(l) = 21*l + 1. Give n(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdjjjjdddddjj. What is prob of sequence ddj?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 91. Suppose -5*u - 49 = -2*v + 153, 2*v + 4*u - 220 = 0. Let i be 24\/(-16) - v\/(-20). Is k at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 1 - 3*z**3 + 0 + z. Let f(g) = -7*g**3 + 4*g**2 + 5*g + 5. Let v(d) = f(d) - 5*h(d). What is the third derivative of v(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 8*j + 15. Let i be n(-10). Which is the closest to -0.1? (a) -1 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -4976\nAnswer: 71\/4976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 5 = 12*o. Let u = -13 + 235. Is 45 a factor of u + o + 15 + -13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 + -7.09. Let m = 8 + t. Let c = 1.3 - m. Put -5, 3, c in increasing order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 k, and 1 u when four letters picked without replacement from {z: 3, f: 4, x: 6, u: 1, k: 2, v: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (-40 + 45).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4470467663?\nAnswer: 4470467663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2\/21*f**3 + 8\/7*f**2 - 1 - 32\/7*f. Suppose i(h) = 0. What is h?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1154177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000198954 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17*h - 1. Let w be l(-1). Suppose 2*n + 3*x = -2*n + 85, x - 22 = -n. Let k = w + n. Solve 3*g - 4*c - k = 0, -2*g - 4*c + 14 = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 4*g**3 + 22*g - 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1974 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 194 + 58 + 10*g + 54 - 9*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 15567.\nAnswer: 326907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 160*q**2 - 1185*q + 1350.\nAnswer: -5*(q - 1)*(q + 15)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -9, 12, 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 7. Suppose -3*r - 16 = -7*r. Let v be -81*7\/((-42)\/r). What is the greatest common factor of v and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-15)\/(-10)) + (-10)\/(-4). Suppose -w*y - 2*c + 2035 = -32379, 0 = -y + 2*c + 11474. Suppose -6*u + y = 4014. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.004, 10, 4, -1, -0.2, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12210 (base 5) in base 9?\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106784.429 times -0.2\nAnswer: -21356.8858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 6:57 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 363 - 126. Suppose 4*g - 901 = -f. Let m = g - 94. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(5\/560). Let t = p + -4. Let n be (3\/3 - -9999)*t. Round n to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-1) + sqrt(171))**2*-5.\nAnswer: -7695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - -10 - 36 - 27.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8081 (b) 198 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/15 + 3 + (-105)\/63 - (-2)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 + 7*v**3 - 11*v**3 + 2*v**3.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1541 divide 20139697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120250 and 167000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*n + 388070, -j - 4*n = -70074 - 59278. Let w = -6079620\/47 + j. Let z = w - 9865\/846. Find the common denominator of z and -73\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11892 + -11898.581. Round w to one decimal place.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/35 and -5\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.047 - 11.0482199. What is f rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/17? (a) -5 (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 - 36*s**5 - 2*s**2 - 2293.\nAnswer: -240*s**3 - 2160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39989910 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32603, -4, -220.\nAnswer: -32603, -220, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 281619 and 3735.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 540016730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:45 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 37, 38, 23, -14, -79, -178, -317?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4, 0.04, -12, 0.5, 0.12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 1\/5*o**3 - 37\/5*o**2 + 1\/5*o**4 + 84\/5 + 47\/5*o = 0.\nAnswer: -7, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 - 1688 - 2842 = 48*x + 534 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 3*z + 700. What is m(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25612.88829 rounded to the nearest one hundred?\nAnswer: 25600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 75528340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 113047*i - 5878468. Give a(52).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21489529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531837 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5, 4*i - 2*z = 3*i - 7. Let q(k) = -41*k + 29. Let o be q(i). Calculate the highest common factor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -63\/5. Let p be (-6)\/(6\/2) + 0. Let h be (-51)\/15 - p\/5. Which is the third biggest value? (a) l (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s. Let r be b(-2). Solve -15 + 13 = -r*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 4720622.\nAnswer: 23\/4720622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + 51\/15. Let v(z) = -5*z + 2*z**2 - n - z + 3*z**2 + z**3 + 0*z**3. Determine v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31832 + 58339. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrt when four letters picked without replacement from lrllttrlrlltrlll?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 89*y**2 - 1608*y - 150. Give g(-25).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(51)*2)\/sqrt(3) + 0 + -2 - 6*((sqrt(153)*2 - sqrt(153) - sqrt(153))\/sqrt(9) - (-1 + sqrt(17) + 5)))**2.\nAnswer: 396*sqrt(17) + 1861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 306. Let g be n(76). Sort -3, 3, g, 1.\nAnswer: -3, 1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**3 - 2*p**2 - p. Let a be d(-1). Let x = -57 - -93. What is the greatest common divisor of a and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80.76 - 1.76. Let c = i - 83. Put -3, 5, c in decreasing order.\nAnswer: 5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1114.518?\nAnswer: -1106.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*v**2 - 2*v**3 + 896*v**2 - 1795*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -19*y + 14*y + 12, -4*y = -3*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 401 or 405?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(40)\/(sqrt(32)\/sqrt(4)) - sqrt(45)\/sqrt(144)) + -5 + 4 + (sqrt(720) + 1)*3)**2.\nAnswer: 147*sqrt(5) + 108125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16938 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b**2\/11 + 2865716*b\/11 + 6877776\/11 = 0 for b.\nAnswer: -12\/5, 286574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-18)\/(-12))\/((-18)\/(-30))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*l - 9 + 24 + 590 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/733, -0.5, 195.4.\nAnswer: -0.5, -6\/733, 195.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppzpppzzppp. What is prob of picking 1 p and 1 z?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + ((-2)\/(-144) - 9). Suppose 0*r = -r. Do r and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27950571483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = -3*c, 5*a = 3*c - 4 - 0. Suppose 672 = c*l - 3. What is the greatest common factor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*j = -25, y - 5*j = -1 + 6. Suppose 4*q + 9 - 1 = -y*l, -5*l = 0. Let c = -27\/5 - -71\/15. Is q at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 9*z - 2. Suppose 60 = -2*x + 26. Suppose 0 = 3*w - 8 - 10. Let k(m) = 3*m**2 + 26*m - 5. Let p(s) = w*k(s) + x*y(s). Calculate p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 - 28198*h**4 - 56388*h**3 = 0. Calculate h.\nAnswer: -14097, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -75. Let a(g) = g**3 - 7*g**2 + 13*g - 11. Let z be a(n). Suppose -4*p + z*s = 16, 16 = -4*p - s - 5. Let w(d) = -d**2 - 4*d + 1. Give w(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73723 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003462482 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11676000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/243 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {x: 1, i: 3, j: 2, r: 3, k: 2, z: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - -0.1. Suppose 2*g + 4*x - 3 = 7*g, -5*x - 24 = 3*g. Which is the nearest to y? (a) g (b) -2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723246 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.17 and 6?\nAnswer: 7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -2970 (c) -2\/7 (d) -2\/3 (e) -0.5 (f) 3.2 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 2 + 4)**2 + 0 + sqrt(1573) + -1 + sqrt(1573) + -2*-1*sqrt(1573) + -2.\nAnswer: 176*sqrt(13) + 1606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -624898, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031442 + 133?\nAnswer: -1031304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2 = -2*u. Let t be (2 + -4 - -1) + u. Let b(r) = -r**3 - r + 8. List the prime factors of b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*((-5 + (sqrt(500)*1 - sqrt(500)) + 4)*-5*-5)**2.\nAnswer: -3745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 840520 divided by 1?\nAnswer: 840520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171 + -166. Solve -20 = 5*v + p*h - 5, 2*v = 3*h + 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/85134 and -197\/4195890.\nAnswer: 29371230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*y + 34*y + 1680. Is y greater than or equal to 208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 11 - 2*k + 11.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.033, 3008, -2\/9?\nAnswer: 3008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 3*t**5\/80 - 21*t**4\/16 + 5*t**3\/2 - 2127*t. Factor k(c).\nAnswer: 3*c*(c - 20)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/6 - -3)*0. Let n be (-18)\/(-3) + x + -4. Solve 2*r + 4 = -n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*b - 10*b + 384 = -1596 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((-8)\/(-6)) - 1. Let t(g) = g**2 + 25*g - 33. Let d be t(-27). Suppose o + 6*o = -d. Put 4, j, o in ascending order.\nAnswer: o, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a**2 + a. Let j be v(-1). Let s be j\/4*24\/20. Does 32 divide (-6)\/(12\/(-262)) + s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -560*j**3 - 452298*j - 2*j**4 - 87750*j**2 + 1715*j**3 - 7*j**4 + 4*j**4 + 2551278*j + 7118280 = 0.\nAnswer: -3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/25 - 37\/100. What is the biggest value in g, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t + 6. Let v(u) = 9*u - 5. What is -2*b(h) - 3*v(h)?\nAnswer: -11*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**2*x - 3*s**2 + 12997*s*x + 326540*x wrt s?\nAnswer: 2*s*x - 6*s + 12997*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.989541 millennia to centuries.\nAnswer: 79.89541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**2 - 89*c - 241. What is r(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 67. Let r be f(0). Let k = -28 + r. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 0.419, 0.02.\nAnswer: -2, -0.4, 0.02, 0.419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -71*o + 6. Let m be q(-1). Let s = 145 - m. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 - 276016*z**2 - 2760328*z - 4416576 = 0. What is z?\nAnswer: -8, -2, 138018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + 4*i + 4. Let x be j(6). Let a = 225 + x. Suppose -26 = 3*n - y + 23, 2*y = -2*n - 22. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 3, 0.2, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2\/7 (b) 2 (c) -0.3 (d) 8 (e) -0.07 (f) 625\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.56 + 0.44. Let y = -21.93 + v. Which is the third smallest value? (a) -2 (b) -1\/8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/9 - 428*f**3\/3 + 203498*f**2\/9 + 276488*f\/3 + 834632\/9 = 0.\nAnswer: -2, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -5 + 20 - -5 - (10 - 18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 16) in base 13?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4956, -4963, -4974, -4989, -5008?\nAnswer: -5031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25514147, 25514149, 25514151, 25514153, 25514155, 25514157?\n\"Answer: 2*g + 25514145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -39*w + 2. List the prime factors of j(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 + 616*r**2 + 31556*r + 537824 = 0. What is r?\nAnswer: -56, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -12*g - 18*g + 9 + 31*g. What is u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 9*g**2 + 2*g - 13. Let v(n) = -3*n**3 + 17*n**2 + 5*n - 27. Let p(l) = -5*h(l) + 2*v(l). Does 11 divide p(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5363 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -23, -28, -35, -44, -55?\n\"Answer: -k**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Which is the nearest to -1\/3? (a) 0.3 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 79 = 2*x, 148*x + 184 = 153*x - 2*b for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 22*z**2 + 108*z + 49. Let v be d(-15). Solve v = 29*w - 25*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/157 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15667 = -5*f + 2176, -z + 3569 = f. Let t = -2468 + f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2575480791.\nAnswer: 3, 13, 66037969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2554545 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/20 (b) -5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12\/109 + 6479\/436. Let z = h - 15. Let s be 2\/4 + (-1)\/(-2). Which is bigger: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Let d(m) = -4 + b*m**2 + 8 + 8*m + 1 - m. Let h be d(-5). What is the greatest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*c - 18. Let u be -4 + ((-74)\/(-10) - c). What is the closest to -1\/3 in -3, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 6*f - 4*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/12 + (-248)\/48. Let u = -1 + 1. Let v = 0 - -1. Sort v, u, h in descending order.\nAnswer: v, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2595, -5188, -7767, -10326, -12859?\nAnswer: -15360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 103 = 203. Is -19 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 29 = 49 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-416)*6)\/(45\/(-960)) - (-1 - 112).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.48836 days in nanoseconds?\nAnswer: 2634194304000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 767322041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + e64896?\nAnswer: e64892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.397 + 30?\nAnswer: 30.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0617490515 to 3 dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.269442865591 - -2.\nAnswer: 2.269442865591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45\/68 - 271\/204. Let w = 58 + -59. Is w > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/32635 and -109\/34430.\nAnswer: 224724610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 11 - 5. Suppose -b*k = -0*k - 276. Is 17 a factor of k\/2 + 3\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1772, 1954, 2136, 2318, 2500?\n\"Answer: 182*i + 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -7*k**6\/90 - k**5\/10 + 2*k**4\/3 - 5*k**3\/3 + 49. Let d(z) be the third derivative of t(z). Solve d(s) = 0 for s.\nAnswer: -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*c - 40 = 0, -3*c = 3*j + 2*j - 100. Calculate the remainder when 95 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462647148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 12 - 32. Let s(q) = q. Let o(w) = -w + 2. Let r(x) = -o(x) + 4*s(x). Let u(t) = -4*t + 1. Calculate c*u(n) - 3*r(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02551708 to 5 dps.\nAnswer: -0.02552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 3*c + 4*c + c + 0*c - 3*c + (-2*c + 0*c + 0*c)*(3 - 3 + 2) - 2*c - 4 + 4 - 3 + 3 - 2*c + 3*c - 35 - 14*c + 13*c.\nAnswer: -9*c - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-391)\/230*-1*4\/(-9) and 79\/8?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 75*c**2 + 475*c + 7. Let t be y(7). Suppose -3*k + 20 = 2*k. Suppose 0 = -5*p, t*p - k*p = 2*f. Solve f = -4*g - 4 - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 58, 29, -34, -143, -310, -547?\n\"Answer: -2*u**3 + u**2 + 4*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211 - -17. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(5\/4))*d)\/((d*d**(2\/17)*d)\/d))**(-1) assuming d is positive.\nAnswer: d**(-77\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*u + 1185, -8*y + 5 = -9*y. Calculate the highest common factor of u and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1330 = -4*j, 5*f = -j + 4960 + 1837. Calculate the smallest common multiple of f and 2716.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/((-1)\/10). Find the third derivative of 2*q**2 - 4*q**a + 3*q**5 - 2*q**2 - 3*q**2 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 2752277?\nAnswer: 2752277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -2*h**3\/5 - 4*h**2\/5 - 2*h\/5 - 3. Let v(i) = 0. Calculate i.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519539 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + 2 + (3905 - 3945)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 - 13*h**2 - 38*h**3 - 43*h**3 + 80*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 14, w: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2516 and 2515 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0123 and 62586.\nAnswer: 62585.9877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.497397 days in hours?\nAnswer: 59.937528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -9. Let w(b) = 3*b**2 - 36*b + 30. Let a(u) = -u**2 + 12*u - 10. Let j(o) = r*a(o) - 4*w(o). Let f be j(11). Does -2\/5 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.729 - 0.271. Let g = 0.07 + 35.43. Let s = g + p. Which is the closest to 1? (a) 5 (b) -9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13547 - 13546.9996697. Round k to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x - 1. Let a(j) = -13*j - 2. Let p(b) = 3*a(b) - 5*t(b). Let y(z) = z**3 - 3*z**2 - 2*z + 2. Let u be y(3). Give p(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354996 and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 9 + 0*b**2 + 0*b**5 - 1\/3*b**6 + 0*b - 2\/3*b**3 + 0*b**4. What is the third derivative of t(q) wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1006 - 4*u - 1007 + 2014 in the form j*u + h and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234 - 205. Let u(c) = c**2 - 28*c + 131. What is the tens digit of u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 6 - 5*a**2 - 3*a - 3. Suppose 39 - 11 = 2*p. Let z(f) = 9*f**2 + 7*f - 7. Determine p*u(l) + 6*z(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 116977 and 116976 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (9 - -2 - 9) - (-17 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13630 - -13627. Which is the nearest to 0.1? (a) -5 (b) 968 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -338264.71 rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57.5 and -0.035766?\nAnswer: 2.056545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/22 - 291\/(-33). Let g be 2\/j - (-4 - 48066\/(-27)). Let p = 2843 + g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (180\/8)\/(-15) - 18\/(-4). Calculate the remainder when -9*(-3 - (6\/q + 0)) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14638, -14630, -14622, -14614, -14606?\nAnswer: -14598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25011066 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/12*(-1 + -2). Let n be 5 + (1\/(-5) - (-19)\/(-5)). Are h and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h - 2. Suppose 4*u + h*a - 315 = -125, -2*u - 2*a = -98. Is u\/1*(-3)\/(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4\/5 + 87*f**3\/5 + 243*f**2\/5 + 237*f\/5 + 78\/5 = 0. Calculate f.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 + 6*d. Let g be r(5). Let u = -17 - g. Solve 3 = u*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 60 = 2*q, -r - 10 = 3*q - 1. Let w = -16 - r. Which is the third smallest value? (a) w (b) 1 (c) -5 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 37, 1\/4 in descending order.\nAnswer: 37, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 8, f: 5, z: 2, s: 1}. Give prob of sequence hh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-30) - 0)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9463452 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 159 = 5*h - 1, -4*i = 4*h + 152. Which is smaller: i or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y - 2. Let r(c) = -c - 1. Suppose -17 - 19 = 18*h. Let l be -1 + 1 + 4 + -3. What is h*r(i) + l*n(i)?\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/55 and 18\/85.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*d**3*m**2 - 28*d**3*m - 272*j*m**2 + 235*j + 2*m wrt m?\nAnswer: 180*d**3 - 544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.245142884 to 3 decimal places.\nAnswer: -0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/7 + 2378*v**2\/7 - 608432*v\/7 + 1207368\/7 = 0.\nAnswer: 2, 369, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3765 - 3764.7711. Let g = 330 + -329.77. Let b = u - g. Round b to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*46\/(-42)*3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a factor of 301237054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*o - 84*o - 92*o + 35*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.4 - 19.3. Let t = 25.1 - k. Which is the third biggest value? (a) -2 (b) -167 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 0.2 (d) -5 (e) -1 (f) -7993 (g) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 254*i + 771. Let h be a(-3). Let k(m) = 13*m - 16. Let b(o) = 3*o - 4. Give h*b(n) - 2*k(n).\nAnswer: n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohof when four letters picked without replacement from bfrffhofof.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 319, 489, 673, 877, 1107?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 = 9, 10 = -2*g - 3*f. Let v = g - 2. Let j = 0.2 - 0.7. Sort 5, v, j in decreasing order.\nAnswer: 5, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-150) - 584\/5160) + (-555)\/(-7310)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 6. Let s be f(3). Let t(p) = p + 6. Calculate the remainder when 26 is divided by t(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (78965\/(-51))\/(10\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2 + 5*g + 204 = 0.\nAnswer: -12, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4356, -4346, -4336, -4326, -4316, -4306?\nAnswer: -4296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - x - 1. Let d be o(-1). Suppose d*z = -4*k - 6, -2 + 1 = z. Let m(y) = 5*y + 3 + 4 - 6. Determine m(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9649?\nAnswer: 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - t = 5209, -3*j + 8*t = 4*t - 3897. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*a**4*j - 40535*a**3*j**3 + 3*a**2*j**3 - 1831654*a**2*j wrt a?\nAnswer: 2976*a*j - 243210*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 1458.\nAnswer: 33534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i + 10. Let c be 3 + -14*(-1)\/i. Let o be (-120)\/(-14)*7\/2. Calculate the greatest common divisor of o and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 2, d: 4, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 164742?\nAnswer: 164751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2\/15, -81, 5\/4 in increasing order.\nAnswer: -81, -2\/15, -0.06, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-1 - -292) + -9 + (3 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -348 + 4995?\nAnswer: 464a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1766998+0.08\nAnswer: -1766997.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -22 + 4. Let o(n) be the second derivative of n**3\/2 + 3*n**2\/2 + 6*n. Let r(b) = -7 + 7*b + 24 - 7 - 3. What is y*o(p) - 4*r(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-15)*4*25\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 150*l**2 - 292*l.\nAnswer: -2*l*(l + 2)*(l + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b = -m + 100*b - 13, b - 8 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + (sqrt(512) - ((sqrt(512) + 1*sqrt(512) + sqrt(512))**2 + sqrt(512))).\nAnswer: -4608 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 1 - 1 - 20*q as s*q + l and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*v + 4*w, -4*v + 5*w = 3130 - 3118 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3104*w - 7067*w - 6363*w.\nAnswer: -10326*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*n = 101*n - 495. Put n, -5, -221 in increasing order.\nAnswer: -221, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -38. Solve 0*u = -y - b*u, -y + 2 = 3*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49489499.\nAnswer: 17, 263, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4304 and 337044088?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*x - 9 = 6, -f = 2*x + 6. Is -2\/7 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 16. Let q(c) = 3*c**2 - 48. Determine -3*q(k) + 8*u(k).\nAnswer: -k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 2\/9, 98, -2\/2423, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**7\/210 - g**6\/25 + 2*g**5\/25 + 2*g + 67. Factor q(y).\nAnswer: y**3*(y - 4)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:46 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50138, -49998, -49858, -49718, -49578?\nAnswer: -49438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308 + -5.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7226 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291339035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 42, 6, -44?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/8)\/((-745)\/(-3129))*8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + 2 + 1*-4. Suppose 5*w - 295 = -5*h, -2*h - 340 = -5*w + 2*h. Calculate the highest common divisor of x and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {o: 18, v: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2048660*r**2 + 4096359*r**2 - 2047698*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**4 + 2*d**3 - 312912*d**2 - 149*d - 8278 wrt d?\nAnswer: 48*d**2 + 12*d - 625824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 946, 1, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 46*t**2 + 35*t**2 + 1 - 23*t**2 + t. Let f = 231 + -232. Is g(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:27 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 3 = 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 9*q**2 + 2*q + 6. Let d(i) = i**3 - 6*i**2 + 4*i. Suppose 0 = 5*z + u - 23, -5*z - 2*u = 1 - 22. Let c be d(z). Is 24 a factor of b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 90 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/(-286) - (2\/(-78)*149 - -3). Which is the closest to t? (a) 1\/2 (b) -1\/8 (c) -2\/9 (d) 61\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -1 (c) -4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10979752 and 28658?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/7)*(u\/(u**(-7)\/u))\/u)**26 assuming u is positive.\nAnswer: u**(1482\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-1710)\/(-95))*96.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 9599*a**2 + 2328*a**2 - 32.\nAnswer: 11927*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10413049?\nAnswer: 10413049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 11*h**5\/20 - h**4\/6 + h**3\/6 - 5*h. Let o be x(1). Solve 3*v = v - o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975629191.\nAnswer: 975629191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11932788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1484 and 89093?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10656.384 minutes?\nAnswer: 177.6064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1254 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1503 = -1771*y - 1721*y + 3325*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(7 - 3) + 17. Let y = w - -38. Is (-2)\/(-4) + y\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 532*s**2 + 5*s + 4. Let g be p(-4). Suppose 2*l = -4*l + g. What are the prime factors of (l\/(-9))\/(-4)*(-15)\/(-10)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12213549 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Let u be (-5)\/2 + (-10)\/((-70)\/21). Let f be (4\/(-14))\/(33\/(-77)). Which is the nearest to 0? (a) f (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwdwldwwwwwwdw. What is prob of sequence wd?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:34 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 32 = -31. Let m be (-192)\/(-14) - 6\/g. What is the greatest common divisor of 112 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 681.6033 centuries?\nAnswer: 817923.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a)**(-2\/57)*(a*a**(1\/6))\/a**(-2\/5) assuming a is positive.\nAnswer: a**(311\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 1 h when three letters picked without replacement from ckcchchcchvccc?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3\/3 - q**2\/2 - 8*q + 33. Determine d(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13832 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + (-6 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 539*k**2 - 14*k + 58. Is f(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.526235 days in nanoseconds?\nAnswer: 45466704000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 14*m - 168. Let v be -1*(-3 - -1 - -1). Solve p - v - 3 = -z, z - 3*p = m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/((0 + -3)\/54).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {l: 4, w: 1, o: 4, j: 10}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*m**4 + 3 + 11*m**3 - 1 + 2*m**2 + 19*m + 32*m**4 - 20*m to l*m**4 + d + s*m**2 + b*m + i*m**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 711965 by -5.\nAnswer: -142393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 31*q + 36 = 4*t, -2*t - 4*q + 18 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -17 (c) 0 (d) 13\/159 (e) 2\/3 (f) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5\/3 - 256*j**4 - 1504*j**3\/3 + 1016*j**2 + 1508*j\/3 - 760 = 0. Calculate j.\nAnswer: -190, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*m**2 - 391*m**3 + 263*m**2 + 279*m**2 - 168*m**3 wrt m.\nAnswer: -3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-34)\/z)*z**29 assuming z is positive.\nAnswer: z**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -0.046, 0.1, 1\/3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37902 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*c - y + 75, 0 = -5*c - y + 108. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (16 - (18 + 970\/10)) - (6 + -18)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**2\/2 - m - 5. Let p be k(1). Solve c = 5, 6 = p*h + c - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*z = 3*q - 40, -2*q = 3*z - 6. Let r = q - 4. Let j = 2227\/6 - 372. Which is the third biggest value? (a) r (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, 119, 411, 833, 1391?\nAnswer: 2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssg when three letters picked without replacement from shshhssghhshshsgsh.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - d - 1. Suppose 210*q = 202*q + 56. Let j(a) = -27 + 0*a - 2*a + q*a + 6*a**2 - 3*a + 29. Calculate j(h) + 2*o(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 8.1, 8, 17 in decreasing order.\nAnswer: 17, 8.1, 8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x - 2*x**3 + (x**2 + 3*x**2 - 3*x**2)*(-3*x - 3*x + 5*x) - 3 + 3 + 2*x**3 - 5*x**3 - 2*x**3 + 141*x**3.\nAnswer: 133*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2286*k**3*o**3*w**2 + 4*k**3*o**2*w**2 - 2*k**2*o**2*w - 82*k**2*w**2 + k*o**3*w**2 + k*o**2*w**2 + 2*w**2 wrt k.\nAnswer: 13716*o**3*w**2 + 24*o**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/11, -84, 708.7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + 4*f**2 - 15*f + 26. Let n be l(4). Is (-990)\/(-135)*n\/4 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (4 - 8))*0. Suppose w*o = 6*o + 36. Let y be ((-6)\/9)\/((-4)\/o). Sort y, 2, 8.\nAnswer: y, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) 0.0405 (c) -10\/33 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/72)\/((-14)\/(-48)*3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (405\/30 - 15)*(-494)\/57\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 465, -746, 0 in increasing order.\nAnswer: -746, 0, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let h(c) = 273*c + 104. Let s(w) = 13*w + 5. Let k(q) = 5*h(q) - 104*s(q). Give k(n(f)).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 3416*h**2 - 20388*h - 30528.\nAnswer: -4*(h + 3)**2*(h + 848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -1. Calculate the smallest common multiple of l and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*a + 11*a - 5*a + (-1 + 0 + 0)*(-2*a + 2*a + 2*a) - 4*a - a + 4*a)*(1 - 1 + 1 + (1 + 0 - 3)*(-1 + 1 - 2)) to the form u + c*a and give c.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 14) to base 12.\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9259, 9251, 9239, 9223, 9203, 9179?\nAnswer: 9151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11574*v + 4418*v + 11500*v - 9587*v.\nAnswer: 17905*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -917774 or -2753321\/3?\nAnswer: -2753321\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000137936437 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 244839703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 37 = -43 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 24*x - 2268. What is the least common multiple of v(95) and 8850?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 87612*r - 3837931272.\nAnswer: -(r - 87612)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from {b: 2, a: 1, t: 1, d: 2, w: 1, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -2\/3, 0.5, 1\/572, -1\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(65) - sqrt(65)*2) + sqrt(65))\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -154424?\nAnswer: 154417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -57*k + 581. What is y(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -o + 27, 3*o + 3*i - 126 = 0. Suppose 2*w + 0*w - 3*y - 64 = 0, -o = -w + 4*y. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 1 + 0 + 4*s**4 - s**3 + 2 to the form n*s**3 + i*s + l*s**4 + f*s**2 + u and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1.1 (c) 20 (d) 4 (e) -1.71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/7))**23\/((a\/(a*a**(-5\/7)*a)*a)\/a**(-20)))**48 assuming a is positive.\nAnswer: a**(-11376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 15*i**2 - 3*i + 3. Calculate w(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - -1 - -1 - 138\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36b (base 13) to base 15\nAnswer: 29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = 5*u. Suppose 4*d + 0*d + u*a = -20, -4*d = -2*a - 10. Suppose q - 3*q - 5*j = d, 0 = -j. Solve q*w = w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.051, 33, 1, -3\/7?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 9. Suppose -o*s - 2*s = -60. Suppose 0 = 4*b + 4*d - 224, s = -2*b + 3*d + 99. Calculate the highest common divisor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324 - 11403233?\nAnswer: -11404112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {a: 2, b: 4, h: 1, r: 2, x: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -1993508?\nAnswer: -1993503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = f + 2116, 5*f = -6 + 1. What is the greatest common divisor of 47 and y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 minus -0.079?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 502 + -423. Suppose s + 71 = y. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-22) + 91\/(-1287). Suppose -3*a = a. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2872 - 2874. Which is the smallest value? (a) v (b) 18 (c) -4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2538262 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -7. Let t = -15\/32 + 41\/224. What is the closest to -1 in -3, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005332 rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 251 times 1.418\nAnswer: 355.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11223, -22449, -33675, -44901?\nAnswer: -56127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11954230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1253 (base 7) to base 5.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*k + 378 = 10 - 172 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 0.4, 65, 11, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 201\/4, -21.4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18452232 and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let o(s) = 4*s - 9. Let l(t) = -5*f(t) + o(t). Suppose -g + 5*z - 29 = 0, -4*g - 2*z - 3*z + 9 = 0. Let b be l(g). Is b > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 4. Let h be 3\/p - 1\/2. Which is the nearest to -0.1? (a) -2 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -20, -47, -94, -167?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 1222, 0.4, 0, 4?\nAnswer: 1222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, r: 1, o: 8}. Give prob of picking 2 o and 1 g.\nAnswer: 77\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2535\/260 + (-9)\/1. Let l(i) = i - 5. Let p be l(5). Which is the closest to p? (a) m (b) 15 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o - 10 = 2*s, -2*s - o = 5. Suppose z + s*z = -5*p + 82, 3*p = 2*z - 112. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -40, -14, 32, 104, 208, 350, 536?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -900*z**2 + 5*z - 1709. Let k(i) = -i**2 - i + 5. Let l(u) = 5*k(u) + q(u). What is the first derivative of l(g) wrt g?\nAnswer: -1810*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.643 and 50.\nAnswer: -382.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.10014 and -488266.\nAnswer: -488266.10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 + 2*c - 2. Let z = -73 + 199. Let v be z\/33 + 1 + (-22)\/(-121). Let l(x) = -13*x**2 - 5*x + 5. Determine v*f(r) + 2*l(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4 = 10 + 12, -19*a + 23 = 3*a - z + 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002251014514 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4)**(-4\/3)\/(r\/(r**(-1\/5)\/r*r))**(-13\/3))**(-26) assuming r is positive.\nAnswer: r**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-16))\/(794\/158800)*2\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259218 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -14. Suppose 3*d + 364 = b*a - 232, -2*a - 5*d = -226. Let f = -114 + a. Solve -4*r - 1 = -5*x - 19, 0 = -r - 3*x - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 10545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42022 + 64?\nAnswer: 63.57978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 176*r**2 + 1657*r + 34. Calculate c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18164.4 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 83.3. Let j = -0.5398 + -9.1602. Let x = j + p. What is the nearest to -2 in 9, -5\/3, x?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*c - 1 - 18*c - 116*c - 42*c as n*c + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2879, -14, 3, 1\/6, -0.3 in decreasing order.\nAnswer: 3, 1\/6, -0.3, -14, -2879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 17 + 33)*(2 - 6 - 2*g + 3).\nAnswer: -88*g - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**2. Let o(r) = r - 1. Let v(w) = -3. Let a(d) = 3*o(d) - v(d). What is t(a(l))?\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 1. Let m be o(3). Suppose 4*b - 16 = -2*v, v + m*b - 18 = -v. Factor 6*x**4 - 4*x**4 - 7*x**3 - 70*x + 25 - 3*x**3 - 7*x**v + 60*x**2.\nAnswer: -5*(x - 1)**3*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + 9.4. Which is the closest to -2\/3? (a) s (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2511533 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61 + 1 + (-3)\/(-1) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:30 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 6\/95 (c) 4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 - 1. Let y(k) = 2*k**2 - 6*k - 6. Let r(j) = -2*m(j) + y(j). Solve r(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021256 rounded to five decimal places?\nAnswer: 0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 - -0.84?\nAnswer: 0.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 89 - 8. Is u\/3*(-3)\/9 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*-3*3\/(-18). Suppose 0*l = x*l - 28. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 520 = 2*k. Suppose k = 2*w + 4*n + 2, -4*w - 4*n = -184. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7 + 1. Let h be (-2)\/(f\/46) - 1. Let x = h + 34. Solve -2*g = -o + x, -o + 5 = -g + 2*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2707912.49 rounded to the nearest one hundred?\nAnswer: -2707900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*-1 + (-1)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24371613.\nAnswer: 3, 7, 386851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883250731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/331160756 and -27\/8.\nAnswer: 662321512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 5.9. Let t = -5 + u. What is the biggest value in t, 5, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 558883*b\/3 + 558886.\nAnswer: -(b - 558886)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 117 + 127. Suppose -q - 63 = -5*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.18*987586\nAnswer: 5115695.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + (-8 - -2) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 9*i = 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:01 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-22)*(-2)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -12*m**3 + 6*m**2 - 1. Let j(r) = -r**3 + r**2. Give i(q) - 6*j(q).\nAnswer: -6*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 13*p**2 + 36*p + 12. What is the remainder when 217 is divided by o(-16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 0.1283, 0.5, 4, 0, 0.2.\nAnswer: -13, 0, 0.1283, 0.2, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8, 4*i + v - 44 = -24. Let w(q) be the third derivative of -5*q**2 + 0 + 0*q**i - 1\/15*q**5 + 0*q**3 + 0*q. Let k(l) = 5*l. Determine w(k(f)).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169539893?\nAnswer: 313, 541661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107\/(-214)*(-2)\/(-2)*-26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.14, -17, -2, 0.5 in descending order.\nAnswer: 0.5, 1\/3, 0.14, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2201.1 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/19 + 20338*p**4\/19 - 12*p**3\/19 - 122044*p**2\/19 - 162710*p\/19 - 61014\/19 = 0. What is p?\nAnswer: -10169, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -77, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 20*o**2 + 8*o + 87. Let j(c) = 6*c**2 + 2*c + 29. What is -7*j(l) + 2*u(l)?\nAnswer: -2*l**2 + 2*l - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8)*(-1)\/2. Let n = -0.01 + 0.21. Let y = -1.8 - -1.3. Which is the nearest to n? (a) -2\/7 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 9*j + 30*j + 3*j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3154 + 3156. Which is the smallest value? (a) l (b) 3 (c) -5 (d) 0.05 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -5*b + 25, -d - 7*b + 4*b = d - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 5. Let w(a) be the first derivative of 2*a**3\/3 - 2*a - 19. Calculate 2*i(u) - 5*w(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let u be i\/(-1)*(-4 - 2). Solve -2*q = -3*n + 4, -5*n - 1 + u = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199947 = -o - 199942, -g + 5*o = 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 3*l - 3*l + (-1 + 0 - 1)*(2*l - 2*l - 2*l) + 0*l + 2*l + 0*l + (-3*l + 4*l - 3*l)*(-2 - 1 + 1).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 16 = 28*t - 26*t, -u - 16 = 2*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (13 + -8) - (-12 + 11 - 30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j + 44. Let m = j - -19. Which is the second smallest value? (a) -1\/2 (b) m (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 5*o**2 - 88*o - 4. Calculate x(8).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -65?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -45\/10574?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*i + 3*j, -2*j - j - 45 = -3*i. Suppose -7*f + 2*f + 5*d + i = 0, 0 = 5*d + 5. Factor 2*u**4 + 8*u**2 - 2*u**3 - 5*u**f - u**3.\nAnswer: 2*u**2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10*k = -1475. Suppose 291*n + 404 = k*n. What are the prime factors of n?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-15)\/40*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(750) + -1*sqrt(750) - sqrt(750)))\/((sqrt(240)*2 + sqrt(60))\/sqrt(6)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/595092 and 13\/267?\nAnswer: 52963188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:02 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 37, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by ((-18)\/4)\/(39\/(-104))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31283941442 less than -0.015?\nAnswer: 31283941441.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2465 and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 595?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1198517 divided by -49\nAnswer: -1198517\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*j + 2, -6*h + h - 2*j + 10 = 0. Suppose -2*w + l = -7, 0*l = -h*w - 3*l + 11. Solve -w*u = 2*a - u - 17, -5*a = -4*u - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 7, d: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 168*k - 1. Let x(c) = -179*c. Determine -5*p(u) - 4*x(u).\nAnswer: -124*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1 = -2*k - 14, 5*j - 5*k - 15 = 0. Find the common denominator of (3\/12)\/(j\/39) and (-2)\/4 - 142\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/27*(0 - (-24)\/10). Let x be (10 - (11 + y))*1*-1. Solve x*t = 5 + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-8 - -3) - 24\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -3*d + 5*d. Solve d*o - o = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276262054*z**5 - z**3 - 116990171*z wrt z?\nAnswer: 5525241080*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 38*c + 49*c + 43*c - 129*c. Let n = -1 + 3. Let u(w) = 2*w**2 - n*w + 2*w. Calculate p(u(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 5. Let o be z(16). Let a be 164\/(-252) - (-6)\/o. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2465*c - 2447*c + 4961*c + 931 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/8*(-5 - -4)*4. Let u = -7 - -10. Suppose 7 = 2*a + u. Solve z = c*q + 10, 3*z = a*z - 5*q - 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + 2\/((0 - -5) + -3). Suppose -2*n - 9 + 39 = 0. Let q = n + r. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o**2 + 3*o + 2. Suppose -90*f - 170 = -28*f + 16. Give i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let u(o) be the second derivative of o**3\/6 - 5*o. What is h(u(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21340 is divided by 851?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 154011386 and 0.2?\nAnswer: 30802277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2. Let d(x) = -12*x**2. Calculate n(d(f)).\nAnswer: 576*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 351 + -131. Suppose 4*t + 0*t - i = 0. Suppose 0 = y - 8 - t. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -9 + 7 + -26 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from {q: 1, a: 2, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 + 80*v**4 + 1340*v**3 + 2080*v**2 - 3498*v = 0. What is v?\nAnswer: -11, -3, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 - 5 = 0. Suppose -3*i - k = -2*i. Sort 5, i, 0.4 in descending order.\nAnswer: 5, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 2*w**2 - 1. Let x(z) = -2*z - 9. Suppose -2*t = 2*i + 18, 5*t = -5*i + t - 41. Let m be x(i). Determine k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 0 (c) 30\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995802052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2638.17 - -2659. Let h = j + -21. Let b = 0.07 + h. Is b > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3991.562ml in litres?\nAnswer: 3.991562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602532 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6183743588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 186990 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -354684 divided by 88671?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 2. Suppose -q = -2*f - d, 2*q + 0*f = 3*f + 63. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245\/115632 at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 + (-2700)\/4000 - 1944\/(-1530)?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 1:19 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 1635 = 46. Let w = -140 + t. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 0.03 (c) -18 (d) 13.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 + 1896*d**2 + 212102*d - 213996 = 0.\nAnswer: -102, 1, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83634805\/351 + -238276. Calculate the common denominator of g and -67\/1911.\nAnswer: 17199","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -2, 0, -0.031 in decreasing order.\nAnswer: 2\/17, 0, -0.031, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128825 is divided by 32174.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -2*o**3\/3 + 23*o**2\/2 + 23*o. Let t be m(-4). Calculate the greatest common divisor of 351 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 2)*(6 - 3 - 2 + (2 - 1 - 2)*(0 - 1 + 2) + 6 - 6 + 14)*(10*w - 2*w + w) as p*w + n and give p.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*j - 6*u - 250052, 0 = 4*j - 2*u - 250052. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-14)*112\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:26 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 14. Let a(x) = 5*x**3 - 13*x**2 - 11*x - 8. Let c(k) = -6*k**3 + 13*k**2 + 10*k + 9. Let z(y) = -5*a(y) - 4*c(y). Is z(u) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 7*k + 5. Let y be s(9). Let g(a) = a**3 + 12*a**2 - 13*a + 1. What is the least common multiple of 2 and g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.683335 millilitres?\nAnswer: 0.006683335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1172, -1666, -4502, -7336, -10168?\n\"Answer: k**2 - 2841*k + 4012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*s + 183*s - 5*t - 9, -5*t = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r + 1. Let q(g) = 5*g**2 + g - 2. Let j(s) = -2*o(s) - q(s). Factor j(w).\nAnswer: -3*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 4, -2, 1 in increasing order.\nAnswer: -18, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 2*i - 2*i)*(2 + 3 - 3)*(-245*i - 91*i - 499*i).\nAnswer: -3340*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5.4. Suppose 2*o + 3*z - 7 = 0, 11*o - 13*o = 5*z - 13. What is the closest to 1 in v, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-880)\/(-66))\/8*(-3)\/(-7)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -88528.\nAnswer: 3\/44264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let z(j) = -j**2 + 7. Let t be z(w). What is the units digit of (t\/3)\/((-2)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = b + 38 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-16)*-10*16\/20. Let u be (-5 - c) + -2 - -73. What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*s + 5 - 14, -5*v = -s + 27. Let y be 2\/v*(-3)\/(-8). Put y, 0.1, 1\/8 in decreasing order.\nAnswer: 1\/8, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - 8) + (7 - 1) + 20 + 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1001011?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 2. Let p be f(8). Suppose 208*n - 204*n = 108. Let y = p + n. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/557 - -69020\/2480321. Let d = k + 360821\/142496. What is the common denominator of d and 23\/18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5804, -11619, -17438, -23255, -29064, -34859?\nAnswer: -40634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 631 by -3.\nAnswer: -631\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -13.78. Let w = l + 0.72. Which is the closest to 3? (a) -0.1 (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -57. Solve 2*y - 2*f + 5 = 5*y, -4*y = -f - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 19. Is 14 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54116963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(1\/7)\/((l\/(l*l*l**(2\/7))*l*l)\/l**1))\/((l**(2\/21)\/((l\/((l*l**(-1\/7))\/l))\/l*l))\/((l*l**(-1))\/(l\/(l**3*l)))) assuming l is positive.\nAnswer: l**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/9 - 484*n**2 + 4784750*n\/9 + 4797800\/3 = 0. What is n?\nAnswer: -2980, -3, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9065018?\nAnswer: 2, 41, 227, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let x(c) be the third derivative of c**5\/30 - 19*c**2. Determine y(x(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4*((-12)\/195)\/(16\/(-40))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 33?\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110164 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, v: 6, t: 2, g: 2}. What is prob of sequence gcg?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.5895 plus -0.1?\nAnswer: 73.4895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-500)\/4))\/(64\/(-1600))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9255467.\nAnswer: 13, 711959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 16*v**2 + 126*v - 1935. What is f(14)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 125769, 125816, 125893, 126000?\n\"Answer: 15*j**2 + 2*j + 125752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 352, 345, 320, 271, 192, 77, -80, -285?\n\"Answer: -o**3 - 3*o**2 + 9*o + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8306190\/17 greater than or equal to 488600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 6. Let w(n) = -3*n + 7. Suppose -29*y + 31*y - 8 = 0. Calculate y*w(v) + 5*l(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**8\/6720 + i**7\/360 + i**6\/180 + i**5\/60 - i**4\/6 - i. Let z(u) be the third derivative of g(u). Is 7 a factor of z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 2786504*d\/5 - 1941151135504\/5.\nAnswer: -(d - 1393252)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7559\/182 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -697644.2763 to the nearest ten thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (-5 + 8 + 1 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 - 144. Let m(o) = -32*o + f + 5 + 33*o. Let z(s) = -s**2. Determine m(z(w)).\nAnswer: -w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4492269467 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11636 = 5*o + 2921. Let d be (3\/(-4))\/((-12)\/336). What is the greatest common factor of d and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 118, -690, -2892, -7184, -14262, -24822, -39560?\n\"Answer: -116*z**3 - z**2 + 7*z + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 (base 16) in base 9?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/287 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2021984706.\nAnswer: 2, 3, 7, 353, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - v + v + (3 - 1 - 3)*(0*v + 2*v + 0*v) + v - 14*v + v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.057 - 52.057. Let f = a + 52. What is the smallest value in -3\/4, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i - 5. Let o(w) = w + 5. Let l be o(4). Suppose i = j - l. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -169\/179 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 11082 = -11242, -2*a = 5*x - 70 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -283, -425, -567?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635, 2609, 5901, 10511?\nAnswer: 16439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1081 - 554. Let q = w - 492. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**5 + 15*g**4\/4 + 100*g**3 + 250*g**2 - 3695. Factor x(u).\nAnswer: -5*u*(u - 10)*(u + 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (206 + -201)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*3\/(45\/25). Suppose -5*j - q*j + 50 = 0. Solve t + 5*s = -27, -t = -j*s - 8 - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209967915?\nAnswer: 5, 13, 283, 65777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.939974 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 1. Let u be (-5 - (-1 - 21\/7)) + 1. What is q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) 0.06 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z - 6. Let t be k(-6). Let i be 10\/3*t\/(-4). Does 10 divide (-3)\/(9\/2)*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135363?\nAnswer: 3, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2306 + -5?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1006686*a**5 + a**3 + 6844*a + 59.\nAnswer: 20133720*a**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5152646 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3716*g**3 - 11015*g**3 + 2648 - 1332 + 2376*g**3 - 1316.\nAnswer: -12355*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 1. Let a be v(-1). Let d(t) = t**2 - t - 1. Let w be d(a). Let n(o) = 2*o - 1. Give n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (469916*w + 2791*w**2 - 469916*w - 8513*w**2)*(-2*w + 4*w - w)*(-6*w + 7*w - 2*w).\nAnswer: 5722*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/7 - ((39 - 41) + (-3305)\/7) and 395.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -9) + (-20 - -16) - (-3 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/64 and 105\/16192.\nAnswer: 16192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 196*a + 1605. Give x(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.428 rounded to zero decimal places?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 4, h: 9}. Give prob of sequence mhh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 2*o**2 - 11*o + 13. Let q be u(4). Which is smaller: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/21106370 and -83\/16885096.\nAnswer: 84425480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151964.6 * -2.04.\nAnswer: 310007.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 + 3. Let q(b) = 5*b - 1. Let w(m) = -14*m + 3. Let n(p) = -6*q(p) - 2*w(p). Determine n(y(a)).\nAnswer: -20*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = a + 9, -5*r = -4*a + 102. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.4 and 91.4.\nAnswer: 3144.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 254, 371, 472, 551, 602, 619?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 123 = 20*n - 97 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**30*b\/b**39*b*(b**(-1\/23)\/b)**(27\/4) assuming b is positive.\nAnswer: b**(-323\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 17*t - 10. Put -7, 4, t in increasing order.\nAnswer: -7, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(272) - (3*(-3 + sqrt(272)) - sqrt(272))) + sqrt(272) - sqrt(272)) + (sqrt(425) - (-1 + sqrt(425) - sqrt(425)))*1))**2.\nAnswer: 720*sqrt(17) + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 16*t - 33 = 0, -2*t = 117*s - 116*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 5, 9 in descending order.\nAnswer: 9, 5, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2882, -5816, -8816, -11876, -14990, -18152, -21356, -24596?\nAnswer: -27866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 21 + 179*p + 121*p to z + h*p and give h.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 1)*(81*f + 84*f + 4*f).\nAnswer: 1014*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 20. Let s be y(9). Let m(x) = 6*x**s - 16*x - 7*x**2 - 3 + 6. Is 14 a factor of m(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977080 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3837 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 5, a: 1}. What is prob of picking 2 c and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48078 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:03 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 1315 - 331. Solve -f*y - 95 = -13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/8 + 18419*n**3\/8 + 142507*n**2\/2 = 0. What is n?\nAnswer: -18388, -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783710882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01395 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26716 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 3*b**2 - 1. Let z(f) = -3*f**3 + 4*f**2 - 2. Suppose -4*r - 2*g + 8 = 0, 0 = -7*g + 9*g + 8. Determine r*t(d) - 3*z(d).\nAnswer: -3*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-14))\/(81\/(-567))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s**2 - 6*s - 6. Let a be (-10)\/85 - (-166)\/(-34). Let w(q) = 8*q**2 + 5*q + 5. Give a*j(k) - 6*w(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 461311, 461313, 461313, 461311, 461307?\n\"Answer: -m**2 + 5*m + 461307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 8*n - 340 = 0. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -150*o**2. Let m(r) = -3*r + 2. Let f(b) = 25*b - 18. Let n(a) = 2*f(a) + 18*m(a). What is h(n(w))?\nAnswer: -2400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2 = -2*r - 2 + 204 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -30, -114, -276, -540?\n\"Answer: -4*f**3 - 3*f**2 + 7*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {c: 1, e: 2, r: 1, f: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**4\/j))**(-3\/8)\/((j*j**5*j)\/(j*j**(2\/17))) assuming j is positive.\nAnswer: j**(-349\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 take away -0.048522?\nAnswer: -20.951478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -32. Suppose 0 = -4*g + 3*p + 41, c + 32 = 2*g + 5*p. Calculate the greatest common divisor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 12:23 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, -2, -37, -86?\n\"Answer: -7*r**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18\/12167 + -309181\/19832210. Find the common denominator of -19\/16 and i.\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -59*m + 15278102183 + 3599217817. What is m rounded to the nearest one million?\nAnswer: 429000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 23 + 8\/5*o + 2\/25*o**5 - 3\/5*o**4 - 12\/5*o**2 + 26\/15*o**3. Factor l(x).\nAnswer: 2*(x - 2)**2*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssysssssnnszssssnqs. Give prob of picking 1 n and 1 s.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924402 bigger than 1924398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 14. Let n(r) = r - 31. Let b(h) = 9*f(h) + 4*n(h). Let l(i) = -25*i + 11. What is 11*b(x) - 2*l(x)?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405, 634, 835, 990, 1081?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**0*n))**(1\/6)*(((((n*n\/n**(2\/7))\/n)\/n)\/n)\/n)**12)\/(((n*n*n**(-1\/3)*n*n)\/n*n)**1\/(n**(-2\/5))**(1\/7)) assuming n is positive.\nAnswer: n**(-3271\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 4*g**3 + 12*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 440 = 11*c. Let q = c + 36. Let h = q - -55. Calculate the remainder when 14 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 != 12198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1477*q**3 - 4*q**2 - 5*q. Let y be a(8). Let j = y + -210888. Round j to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496281310 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {m: 1, t: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 - 4ca12?\nAnswer: -4c9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43562 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3\/5*a**3 + 0*a + 2\/5*a**2 = 0 for a.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4 and -1\/206900.\nAnswer: 206900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 13. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10098, -40004, -89846, -159624, -249338?\n\"Answer: -9968*v**2 - 2*v - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -499\/4. Factor 0 + 3\/4*s**3 - 1\/2*s**4 - n*s + 1\/2*s**2.\nAnswer: -s*(s - 1)*(s + 1)*(2*s - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68257 + 4*p + 68257.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -988950, -988929, -988894, -988845, -988782, -988705?\nAnswer: -988614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*w + 117. Let p(x) = -x**2 - 15*x - 21. Let j be p(w). List the prime factors of -166*(-3)\/6 + j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 - 1. Let t be r(-2). Suppose 0 = -2*o + 7 - t. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - s + 76507 = 0, 10*w + 25519 = 11*w - 3*s. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.589 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86356, -86390, -86448, -86530, -86636?\nAnswer: -86766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 383\/24 - 16. Let o be 9 + (5 - 6)*(1 - 2). Let a = o + -11. What is the second smallest value in a, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 83 = -c, -2*c + 164 + 2 = -v. Suppose -5*w = 3*x - c, -5*w + 0*x + 2*x + 78 = 0. Solve 5*h + 4 + w = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2\/4 + 1515*w\/4 - 13400 = 0 for w.\nAnswer: -335, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-108)*8\/20?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**2*z - 892*x**2 - 26*x*z wrt z.\nAnswer: x**2 - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 10. Let a(q) = -q**2 - 8. Let f(h) = 5*a(h) - 4*s(h). Let m(n) = 217*n**2. Give m(f(j)).\nAnswer: 217*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -232.727 + -0.273. Is n at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2 + 417*r + 23. What is p(-70)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 198 = -32*i. Calculate the common denominator of 10\/9 and i\/584 - (15\/(-4) + 3).\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 23*f - 37*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m + 25. Let g = -24 + 44. Let o = g - 43\/2. Sort -0.4, m, o.\nAnswer: m, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -111\nAnswer: -86\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/63*1*-3. Suppose 0*n - n + 9 = 2*c, 4*n = 2*c + 6. Suppose -10 = n*l + 5. Is l smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6135 - 963 = 4*t, 1296 = t + r. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 5, l: 6}. Give prob of picking 2 v.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 122, 215, 318, 437, 578, 747, 950?\n\"Answer: c**3 - c**2 + 89*c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, y: 2}. What is prob of sequence kyyk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/13*(-2)\/(-28)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/123 - (-108)\/2214\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 47034456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1850 + 1978. Calculate the highest common divisor of y and 1088.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1836))\/((sqrt(12)*-2)\/sqrt(4))*-1.\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/198 and 111\/2926.\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(7\/3))\/f*f)\/f*f**4*f)**31 assuming f is positive.\nAnswer: f**(775\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1280 and 6560?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:13 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*q**3 + 6528735619*q**2 + 3730706080*q + 532958012 = 0. What is q?\nAnswer: -2\/7, 133239503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 424, 670, 912, 1150?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020621.89 less than 4?\nAnswer: 11020625.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 + 2*b - 1. Determine j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424219665 to the power of 1\/2, to the nearest integer?\nAnswer: 20597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**5 - 29*v**3 - 40*v - 2 wrt v.\nAnswer: 40*v**3 - 174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wss. Give prob of sequence ws.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 176 = 2*z. Suppose 6 = -2*y, -3*y + 151 = -8*v + 9*v. Let x = v + z. 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: Suppose -3*l = -3 + 18. Let k(q) = -9*q + 2 + 0 + 24*q + 2*q**2. Let s(a) = a**2 + 8*a + 1. Let m(w) = -3*k(w) + 5*s(w). Give m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1159 - -193555\/167. Let a = p + 324\/835. Determine o so that 0 + a*o**3 + 0*o**4 - 2\/5*o**5 + 0*o + 0*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**3 + 3*i**2 - 4*i + 3. Let l be o(2). Let q = -57 + l. What is the units digit of 4*1*q\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -2\/15, 1\/6, -2\/11 in decreasing order.\nAnswer: 278, 1\/6, -2\/15, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let k = t + 2.9. Which is the second smallest value? (a) k (b) -6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 - 4*p - 5. Let k(t) = -2*t**3 - 10*t**2 - 8*t - 12. Let w(q) = -3*k(q) + 5*m(q). Give w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, 0.07, -11, -46.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 3707. Let q(n) = 6*n. Give z(q(m)).\nAnswer: 6*m + 3707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1850 and -28\/925.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/4 + 1525*f**3\/2 + 614244*f**2 + 49414240*f + 96377600 = 0. Calculate f.\nAnswer: -1480, -88, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 - 3 = 0, 0 = 3*v - 2*w. Let j(n) = -3*n**3 - n**2 + 12*n + 20. What is the remainder when 25 is divided by j(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*t + 2820 = 126*t. Solve -93*z - b - 3 = -t*z, 0 = -b - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-8)\/4) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9 - 1 - 9 + 3*z - 4*z. Let s be h(-4). Suppose -120 = -s*m - 15. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*k = -28, 3*i + 0*k = -k - 16. Let b(z) = 11*z + 74. Give b(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 417885366.\nAnswer: 417885366.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-1443)*11\/(-11)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1179\/27)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, 1 f, and 1 c when four letters picked without replacement from {a: 2, c: 1, f: 1, u: 1, b: 1, l: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 8*w - 8. Let j be a(6). Let d = 11 + -6. Let q be (d\/(-4))\/((-5)\/20). Put 0, j, q in increasing order.\nAnswer: 0, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22564459 rounded to the nearest 100000?\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6206011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 2. Let y be h(-2). Solve 5*k + 24 = -2*x + 5, 0 = 4*k - 4*x + y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-6))\/1*-1*(-12)\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 323171, 646343, 969515?\n\"Answer: 323172*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/11, 2613, 3, 5.7 in decreasing order.\nAnswer: 2613, 5.7, 3, 2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11284)\/1209*(-18)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -23. Suppose 0 = 2*l + a*r - 6, -2*l + 0*r = 3*r - 4. Suppose l*v - 127 = -52. Solve 5*s = -5 + v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:36 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 18. Let y = -6 - -12. What is the least common multiple of y and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 161?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*f*q**3 + 4*b*f*q**2 + b*f*q + 240381454*b*q**3 - 37*f*q**2 - 89*f + 73*q**2 wrt q.\nAnswer: -6*b*f + 1442288724*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682317 divided by 7?\nAnswer: -240331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -12631?\nAnswer: 12630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*z + d - 8, -3*d = -2*z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140845304 to the nearest integer?\nAnswer: 11868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 4 + 2*z**5 - 5 + (-1 + 2*z + 1)*(2*z**4 - 2*z**4 + z**4).\nAnswer: 3*z**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 10*t - 9. Suppose -4 = 2*g - 0*g - 4*i, 5*g = -4*i - 38. Let x be o(g). What is the greatest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4915, 31916, 103015, 240262, 465707, 801400?\n\"Answer: 3675*c**3 - c**2 + 1279*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85170471*g*h**3*p**2 + 4*g*h**3 + 2*g*h**2*p**2 - 2*g*h + 14*h**2*p + 137891*h**2 wrt p?\nAnswer: -170340942*g*h**3 + 4*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, h: 7}. Give prob of sequence hh.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.25 or -2\/93527?\nAnswer: -2\/93527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2. Let i(b) = 211*b**2 - 1598 - 17*b**2 + 1598. Calculate q(i(x)).\nAnswer: -37636*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*z - 140*z + 421*z - 38720 = 0 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15.1. Let n = -0.1688 - 0.1312. Put n, 7, t, -7 in increasing order.\nAnswer: -7, n, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*z - 340*z + 186*z**2 + 168*z as v + i*z**2 + f*z and give i.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332*c**3 - 25764*c + 25764*c)*(0 - 4 + 2).\nAnswer: -664*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 3490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/7 (b) 5\/9 (c) -164480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4845\/4959)\/(10\/30) - 3\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**5\/10 - l**4\/3 + 5*l**3\/6 - 2*l**2 - 253*l. Let j(c) = 6*c**3 + 11*c**2 - 14*c + 11. Determine 4*j(q) + 11*z(q).\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379 - -387. Let a be ((-4)\/w)\/(15\/20). Let i = -9 + 14. Put a, 0.03, i in increasing order.\nAnswer: a, 0.03, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2417*y**3 - 67898 + 67898.\nAnswer: -2417*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1888224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3.8. Let x = -2\/201 + -193\/804. What is the closest to i in x, 0.5, 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 18*z**2 - 4. What is p(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 24. Let r be y(-8). Sort -2, 5, r in increasing order.\nAnswer: -2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = z - 2*z - 44, 4*c = 3*z - 39. Let r(h) = 2*h**3 - h**2 + h - 9. Let f(b) = 15*b**3 + 3*b**2 + 14*b - 71. Let u(v) = f(v) - 7*r(v). Determine u(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9470*y**2 - 9477*y**2 - 9469*y**2 - 9470*y**2 - 88 + 37887*y**2.\nAnswer: y**2 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -281 + 251. Solve 0 = 3*x + 2*o - 19, 0 = x - o + h*o - 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 4278*q + 301636.\nAnswer: 2*(q - 2066)*(q - 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44154 + -44153.10745. Let q = p - 0.9. Round q to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -19*l**2 - 14 - 19*l**2 + l**3 + 4*l + 34*l**2. Calculate the least common multiple of i(4) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -12\/773?\nAnswer: -12\/773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 15. Let d be z(6). Let u be -4 + (6 - d) + -1. Let k = 1 + -0.6. Which is the closest to u? (a) 1 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l\/(l*l\/(((l*l**(-1\/2))\/l)\/l)*l))\/l)*l\/l**(2\/3) assuming l is positive.\nAnswer: l**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*b + 82 - 19, 0 = -a - b + 21. What is the first derivative of -3*q - 18*q - a - 2 wrt q?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4510?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*l - 5*l - 122 = 0, -r + 5*l = -58. Let c = r + -35. Solve j + 6 = 3*s, -2*j = -c*j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17788 and 2.1.\nAnswer: 17790.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6) + (-6)\/(-4). Let v = 0.2 + 0. Let z = v + -4.2. What is the closest to r in 0.5, z, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 47*p - 138 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:18 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -55530304?\nAnswer: 55530312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -0.2. Let z = 3.1 - 1.1. Which is the second biggest value? (a) k (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)\/((-3)\/(-9)). Suppose 4*x - 23 = -v. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722 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: What is 0.0630486 minutes in seconds?\nAnswer: 3.782916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -14. Let x(o) = o**3 + 3*o**2 - 5*o - 2. Let q be x(-4). Let u(t) = -t + 5*t + g - q*t. What is u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y**2 - 20*y + 19. Calculate r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4\/5, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.97 - 1. Let o = s - 0.07. Which is smaller: o or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 224*u**2 - 5147*u + 757. Calculate g(245).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.048 + -8.1. Let y = 65.052 + t. Let o = -64.8 + y. Which is the smallest value? (a) 0.9 (b) 3\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21.198081 minutes?\nAnswer: 0.35330135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86887a6 - 4?\nAnswer: 86887a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-553*v + 6*v**4 - 3*v**4 + 547*v)*(-1 + 2 - 4) to g*v**4 + w*v**3 + j + f*v + m*v**2 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/((g\/(g**(-1\/3)\/g))\/g))\/g*g)*g)\/g)\/g)**35*(g*g**(-1\/4)*g)**(-31) assuming g is positive.\nAnswer: g**(-511\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3696, 8211, 12728, 17247?\nAnswer: 21768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 (base 15) in base 2?\nAnswer: 10110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:16 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8345, 8329, 8311, 8297, 8293?\nAnswer: 8305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16\/f*f**(-19) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242243459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8 + 9\/4)\/((-11)\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1843, -7145, -15997, -28411, -44399, -63973, -87145, -113927?\nAnswer: -144331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 118\/14 - (-3 - (-3 + 312\/(-252))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-98)\/3 + -1)\/(4*12\/(-54576)).\nAnswer: 101, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b4 + 5bd?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddff.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -63*(-31 - 1410\/(-45))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -95, -133, -165, -191, -211, -225?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 13*a**3 - a + 992 - 14*a**3 - 995. Give b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1)*(6*d - 5*d + 14*d)*(-9*d + 15*d + 2*d).\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dottdtedoztz. Give prob of sequence otte.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 20 + 2*o**2 + 167*o**4 - 109358*o + 16 + 109359*o to v*o + h*o**4 + x + l*o**2 + u*o**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -130, -188, -242, -292?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 358911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 199247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1246 - 314 - 367 + 1125)*(0*d**4 + 2*d**4 - d**4).\nAnswer: 1690*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6779*(1 - 6 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -18 + 3 - 3*s + s**2 - 4*s + 12. Let i be q(8). Suppose 0 = i*m + 4*b - 10, 4*b = b. Solve r = -m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**7\/21 + 13*k**6\/15 - 23*k**5\/10 + 11*k**4\/6 + 3*k - 223. Determine t so that w(t) = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 + -28 + 103 - -30\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1 (c) -63\/4 (d) -194\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159261180.31 + 364.\nAnswer: -159260816.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3395845*r**2 + 3728596*r wrt r.\nAnswer: -6791690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 10*x - 1. Let s(u) = 8*u**2 - 50*u + 6. What is s(d) + 7*y(d)?\nAnswer: 15*d**2 - 120*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3509890 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 10*t + 26. Let w be l(12). What is the third derivative of -4 - 36*a**3 - 4*a**3 + 54*a**2 - 52*a**w wrt a?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171))**2 + -2 - (sqrt(2299) + 1)) + 1.\nAnswer: -11*sqrt(19) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229630016 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 245*p + 62042 - 53467 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 536531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {z: 2, w: 1, x: 2, e: 1, f: 1, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 1.0783, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -0.13, -3\/10?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4 + 4433*s**3 - 2*s**2 + 2*s + 141581.\nAnswer: -4*s**3 + 13299*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p + p)*(-2 - 4 + 7).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/40*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11276624?\nAnswer: 2, 23, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 294, 0, 21, -5, -2 in descending order.\nAnswer: 294, 21, 3, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/4)\/(18\/12*(-51)\/(6426\/(-28)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 103 = t, 12*t + 32 = -4*h + 9*t for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5586321 rounded to 2 dps?\nAnswer: 5.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -273, -388, -501, -612?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1498.34345973 - -1548.34346. Let m = g + -50. Round m to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-3)*(-102)\/(-85). Solve 0 = -3*y + 5*y + 6, c - t*y = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -31. Let t = -13 + 7. Let f = t + c. Sort -10, 5, f in decreasing order.\nAnswer: 5, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1302747 - -3\nAnswer: 3.1302747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1425\/(-57)*(-1)\/(((8\/(-1))\/8)\/5).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5*(-10)\/(-28))\/((-51)\/(-13770)*-45)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58339 and 771?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.08 (c) 3\/5 (d) 2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1902584\/95)\/(2\/140). Suppose -h - b = -8*h. Suppose 5*f = -h - 649728. Round f to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b3 (base 15) in base 7?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 20376013.\nAnswer: 101880065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 1.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 85014 = -2*r, 0 = 3*r - 344*j + 348*j - 127507. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16247976\/(-32)*80\/(-15). Suppose z + 669023 = -5*t - 7967, 2*t + o = -4*z. Round z to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 2*a + 31*a**2 - 37*a**2 - 4*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259134 divided by -15.\nAnswer: 86378\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 411, 587, 783, 1005, 1259, 1551?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-70))\/(20\/35 - 0)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77998627?\nAnswer: 7, 37, 301153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 + q**2\/2 - q - 5. Let m be i(1). Let j = 2 + 0. Sort 5, m, j.\nAnswer: m, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 10. Let j be z(8). Suppose -3*x + 1 = 4*q, 8 = -5*q + j*q - 4*x. Suppose -q*g + 101 = -39. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67707000 to the nearest 1000000.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooaoooooooaooooooo. What is prob of sequence oa?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113227.9864 - 113170. Let g = z - 58. What is g rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -1\/2*f**4 + f**3 - 3*f**2 + 0 - 3*f. Let a be v(4). Round a to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*p - 104*p - 1 + 1.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674523?\nAnswer: 3, 149, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39719 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-351 + 172 - 1726*r + 179)*(17*r - 20*r - 11*r) to o*r + n + d*r**2 and give d.\nAnswer: 24164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 11:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(81\/45 + 516\/180)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -287.\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -27*z + 29*z - 398, 121*k + 29*k + 12849 = z + 850 for k.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -13)*(0 + -1). Let v(k) = -22*k - 172. Let m be v(-9). Let p = m + t. What is the remainder when 41 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**4 + 1228*z**3 + 92388*z**2 - 285820*z + 192200 = 0.\nAnswer: -155, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.31 - 10.59. Let n = y + 12.9. Let u = -0.1 - 0.2. Sort -2, n, u in ascending order.\nAnswer: -2, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -584750 divided by 5?\nAnswer: -116950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 0.8, 1, 5, -185?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 70.22966 millennia?\nAnswer: 7022.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*b = -11*b - 12, 8 = -5*x + b. Sort 2, x, -3, 286, 4.\nAnswer: -3, x, 2, 4, 286","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4118 (base 10) to base 12.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36604882 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*k = 6*k + 6*k + 3179 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -0.2, 0.581, 0.5, 5, 42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(9\/(-2) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77.871 + 0.129. Let m = v + -77.6. Let h = 56\/3 - 622\/33. Which is the closest to -1? (a) 4 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -321 greater than or equal to -322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2233 - -2250) + (-5 + 4)*39.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -758.9 + 732.9. Let a = 17\/6 - 7\/3. Sort a, -4, d in ascending order.\nAnswer: d, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14450953 is divided by 11325.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466 - 219. List the prime factors of b.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 (base 3) in base 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5 - 5 - 4*f**2 + 0*f**2. Let b(p) = 4*p - 6. Let n(u) = -5*u + 7. Let k(m) = -7*b(m) - 6*n(m). Calculate d(k(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -25*w**4 - 5337*w**2\/2 - 5127*w. What is the derivative of m(z) wrt z?\nAnswer: -600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -42, 26?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9454 and 1629626.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 1 - 1)*(6 + 0 - 2) + (0*r - 2*r + r)*(-4 + 1 + 1) + 0*r - r + 2*r + r + 3*r - 2*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-5)\/75)\/((-276)\/(-13340)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-19))**(3\/7)*(f**(13\/6))**(-46))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 5\/12668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -761400 to the nearest 10000.\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 586 + -821. Let x = w + 231.24. Let o = x - -3. What is o rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzfhfhzzz. Give prob of picking 1 f and 1 z.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:53 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 3.3295?\nAnswer: 1.3318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1600116 - 31?\nAnswer: -1600150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4932*l - 4338 wrt l?\nAnswer: -4932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175158399331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 13*i + 17. Let x(p) = -5*p**2 - 19*p + 25. Let j(b) = -5*x(b) + 8*z(b). Let o be j(10). Let a = o - 16. Put a, 3, 1 in descending order.\nAnswer: a, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*k - 100, r - 14 = 5*k - 6. List the prime factors of (12\/(-10))\/(r\/(-2565)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(11\/(-627)*-19) + -3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 66. Let p = d + 40. Put p, 6, 5 in increasing order.\nAnswer: p, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1275447?\nAnswer: -1275447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 6:47 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdg when three letters picked without replacement from {g: 1, m: 7, d: 3, e: 2, q: 7}.\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*j**2*s**2 - 13*c**2*j**2 - 52*c**2*s**3 + 5*c**2*s + 2*c*j**2*s**3 - 2*c*j**2*s**2 wrt s.\nAnswer: -312*c**2 + 12*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101111?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 82763849573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 10*p - 16. Let z be l(2). Suppose 3*d + 10 = z*d. Solve -2*r + 10 = 3*a + 26, -d = 2*r - 4*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -33, -45, -83, -159?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -24 - 32*p - 62 - p. What is the hundreds digit of x(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223011 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 17085330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 - 647\/4. Let k = 201\/4 - 50. Sort 5\/2, -5, l, k in decreasing order.\nAnswer: 5\/2, k, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/5 of a litre in millilitres?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 24*n - 119 = 0. Calculate n.\nAnswer: -17, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z**2 + 11*z. Let q be v(11). Let c be 5 - (2 + q\/(-3)). Let n(h) = -h**3 + 3*h**2 + h + 3. Let l be n(c). Which is greater: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001000 (base 3) to base 11.\nAnswer: -1733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -679 + 679. Suppose 11*k - 8*k - 2*n - 8 = d, 0 = 5*k - 2*n - 12. Solve 0 = u + 1, k*m - 5*u - 6 = -1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, 3, -713, 67 in increasing order.\nAnswer: -713, 3, 5, 16, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7323644 is divided by 192726?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/185890 or 1?\nAnswer: 11\/185890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -37*j - 218. Give h(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29274767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2734 + 2730. Sort -100, w, 0, -3, -5 in ascending order.\nAnswer: -100, -5, w, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 54 - 32 = 0. Let k(n) = -n**3 + 10*n**2 + 86*n - 786. Let s be k(11). Does s = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15709460 to the nearest 100000.\nAnswer: -15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2583 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235790 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2048\/(-20) - 2 - 12\/20. Let n be 489\/u - 1\/7. Which is smaller: -5 or n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 36, -4, 0.10561?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*u**2 - 36588*l**3*u - 12*l**2*u**2 + l**2*u - 86*l*u**2 wrt l.\nAnswer: 6*u**2 - 219528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 75\/13 (b) -1\/4 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0 - 12*w**2 - w - 1\/60*w**5 + 1\/6*w**3 + 7\/24*w**4. What is p(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 25*k = -208. Solve 6*s + k = 25 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3069 (b) 0.1 (c) 0 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x - 6. Let m be h(-9). Let d(y) = m - 4*y - y**2 - 36 - 3*y**2 - 33 - y**3. What is d(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/5, -2218, 0.5.\nAnswer: -2218, -3\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 + 10*i + 8. Let f = 9 - 17. Let c be w(f). Let a be (-558)\/c + 2\/8. Calculate the highest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = 8*i + 33*q - 71*q - 6 - 6, 4*q = 3*i + 81 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*u = 70, -151 + 23 = 5*d - u. Let m be d\/(-10) - 1\/((-20)\/8). Suppose 2*x - y + m*y = 368, 3*y - 741 = -4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -82. Solve p*l - 6*l = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23258002 is divided by 1938164?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/12 + -2 + -1. Which is the nearest to 1? (a) p (b) -64 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:01 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/6*(-3)\/(-10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*y**2 - 3*y + 13*y**2 - 14*y**2 + 32*y**2 - 1 - 19*y**2 in the form h + l*y + n*y**2 and give n.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2778, 5556, 8334, 11112, 13890?\n\"Answer: 2778*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0152 - -5\nAnswer: 4.9848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/90 and 61\/8730.\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1960865956 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -i + 16, -18 = -i + 2*s - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48633 >= 48634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10 - 26*m + 14*m + 8*m. Let v(z) = -4*z**2 + z. Let k be v(-1). Let f(g) = -3*g + 7. Give k*a(d) + 7*f(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 4*b**2 - 10*b - 17. Let p be d(-7). Let g = 20 - p. Suppose -2*r - 2*i = -g, 5*i = -2*r + 6*r - 201. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = -3*s + s, -5*u = s - 1. What is the common denominator of (-91)\/(s\/((-1)\/(-2))) and (0 - 3\/18)*(-291)\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384d3 (base 16) in base 10?\nAnswer: -230611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -310\/3 or -146?\nAnswer: -310\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -509264.1 to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) - (-29)\/(-4524)*6851 - (-1)\/6\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 1, r: 2, i: 1, f: 1, b: 1}. Give prob of picking 1 f, 1 b, 1 q, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41222091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*c - 2*c. Let h = c + 11. Suppose -5*q + h + 21 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 - 1 = -11. Solve -15\/7 - 6*f + 3\/7*f**4 - 6\/7*f**3 - 36\/7*f**w = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 - 4. Let o(p) = -1. Give -6*o(l) + x(l).\nAnswer: -7*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let z(o) = -1. Let g(p) = -p + 1. Let k(x) = 13*x - 3. Let q(u) = -6*g(u) - k(u). Let s(t) = -q(t) + 3*z(t). Determine s(w(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1311352 + 50?\nAnswer: -1311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/56 + 9\/7. Let f be 0 + 732\/(-52) + h. Let o = f + 3269\/247. Are o and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/((-8)\/108). Let d = z - 0. Calculate the remainder when 6 is divided by (-16)\/24*d\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 467*l - 345. Give s(0).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 885 + -18589\/21. Let v = p - -6\/7. Determine z so that 4\/3*z**2 + 0 + v*z**5 + 0*z**3 - 2\/3*z - 4\/3*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/60*-4 - 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -18, -1\/5, -626?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/45501 and -103\/121336.\nAnswer: 364008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.738 - -81.438. Let n = r - 13.7. Let w = -69 + n. Which is the second biggest value? (a) w (b) -6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d + 18. Give s(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472 - -478. Let b be u\/9*18\/4. Solve -b*y + 11*y - 8 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 13. Let d be b(3). Suppose -21*t + 87 = 3. Sort -5, t, d, 1 in descending order.\nAnswer: t, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 4*k**2 - 3*k)*(-3 + 5 + 0)*(-1838 - 925 + 274).\nAnswer: -19912*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 178611*h + 1786115. Give z(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1, 0.2, -0.3, -9, -4031?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484668079 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/522*9*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b**3 - b + 4*b)*(-44*b**2 + 54 - 54).\nAnswer: 88*b**5 - 88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20745136 to the nearest integer?\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1595 - l**3 + 1590 + 1594 + 1600 - 6379.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2\/36571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1\/(-3))*1. Suppose 166 = -25*z + 141. Put z, h, -42 in increasing order.\nAnswer: -42, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -276, -439, -596, -747, -892?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19\/4 of a millisecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (-55)\/((-34980)\/28008)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 19 = 5*h. Let r be 48\/9 - 4\/h. Suppose -60 = -5*j - r*d, 3*j + d - 24 = j. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daa when three letters picked without replacement from vvvyvaaanvvaavvdvva.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(-6*sqrt(40)\/sqrt(4)) + (3*sqrt(152))\/sqrt(2))**2 + -2.\nAnswer: 23203\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9766 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itvitigytiygti. What is prob of sequence ytti?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 12. Let d be m(-5). Let i = d - -65. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/528 and -17\/2464.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 13*x = 5*c - 28, -5*c = 2*x + 71. Suppose 0*g - 180 = 5*l + 5*g, 2*l + 74 = -g. Let i = x - l. Solve -a - a - 10 = -4*o, i*a = -4*o + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -2 (c) -0.4 (d) 0 (e) -0.01409 (f) 3 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2. Let t(g) = -11250*g**2 - 1. Determine t(i(b)).\nAnswer: -45000*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 152 - 104. Suppose -2*q - 974 = -4*i, 246 = 7*i - d*i - 3*q. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a micrometer in nanometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:29 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004853955 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*a - 3*a - 9, 0 = 2*a + m - 5. Let y(j) = 495*j**2 - 5*j + 3. Is y(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2847\/1898)\/((-3)\/(-164))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 1:54 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*v - d, v + d + 0 = 3. Let g(w) be the first derivative of -1 - 1\/5*w**5 + 0*w**v + w + 0*w**3 + 0*w**2. Find the first derivative of g(u) wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (-38 + 1 + -4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 73 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/20 and (9\/(-5) - -2)\/(50\/160).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148411850*-0.4.\nAnswer: 59364740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 651, 1200, 1591, 1818, 1875, 1756, 1455, 966?\n\"Answer: -r**3 - 73*r**2 + 775*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194.3 + -194. Let k be (0 - 3\/15)*-523. Let b = k - 105. What is the closest to b in d, 0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186.9 + -235. Let k = n + 48.0999689. What is k rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2971*o + 14834. What is i(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + 3 + sqrt(176)) + -1 - (5*(sqrt(176) + -3) - (sqrt(176) + 5 + sqrt(176)*-3)))**2.\nAnswer: 1144*sqrt(11) + 21465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k + 16*k + 7*k - k**4 + 17*k - 67 - 52*k as s*k**2 + w*k**4 + c + l*k + a*k**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45\/7*f + 0 - 3\/7*f**2 = 0 for f.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(-10 - -2). Suppose 0 = -2*g + 7 + 5. Suppose 0 = -v + 15 + g. Solve 3*w + 18 = -3*c, 3*w + 0*w + v = -r*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -174\/235?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10702 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -1, -27, -69, -133, -225?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060043 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -5, 5, 21, 43?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8314 and 7?\nAnswer: 58198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*x**3 - 421*x**2 + 421*x**2 + 0 + 3*x**3 + 0 + (2*x - 2*x + x)*(3*x**2 + 2*x**2 - 7*x**2).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = -6. Let l be g\/1*(-10)\/4. Solve 3*a = 2*j + l, -6*j + 25 = 5*a - 3*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95.9 - 2.1. Let p = -394 - k. Let v = p - -296.0000852. What is v rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 12. Let v = x + -61.9678. What is v rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -206 - -5?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = -0. Let v be (1 - -410) + (x - -6). Let p = v - 228. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**3*u*z + 3*s**3*u + 11*s**3*z - 7*s**3 - 126*s**2*u + s**2 - s*u - 11*z wrt s.\nAnswer: -66*u*z + 18*u + 66*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 = -3*h, -5*h + 4*a + 0*a = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 24. Let c be x(0). Suppose -u - 3 = 1, -2*j - 5*u = c. Is -15\/7 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1107, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and 20?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*d**2*o**2 - 2*d**2*u + 7*d*o**2*u + 67*o**2*u + o**2 - o*u wrt d?\nAnswer: -16*d*o**2 - 4*d*u + 7*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 9:07 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 179 = 131. Let n(b) = 6*b**2 - 5*b**2 - 4 - l + 4 - 4*b. Determine n(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(1\/27))))**(-42)\/(o*o\/(o\/(o*o**(-6\/19)))*o*o*o**(-22)) assuming o is positive.\nAnswer: o**(-3784\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -909 + 3?\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16099 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.3.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 103251 - 103376 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*k, 2*r - 5*k = 72726 - 72711 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -2*l - 174. What is l rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from ytpybgcgbbytbggtb.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - -3. Let c = -48 + d. What is the third derivative of -c*t**2 - 6*t**2 - t**5 + 13*t**5 wrt t?\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975780 and 9720?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 172*b + 49*b + 4*b**2 - 3*b**2.\nAnswer: -b**2 + 221*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 174269573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.950853 decades?\nAnswer: 1074.10236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 - 20?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 623*g**4 - 23*g**2 - 8911*g - 31. Let x(m) = 156*m**4 - 6*m**2 - 2229*m - 8. Let w(r) = 6*k(r) - 23*x(r). Find the second derivative of w(h) wrt h.\nAnswer: 1800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o**3 + 221 - 221)*(0*o**2 + 0*o**2 + 2*o**2) + 4*o**5 - 3*o**5 + 6*o**5.\nAnswer: -29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3*h - 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 5:06 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {q: 6, w: 3, g: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -63*x**2 + 945*x + 19. Calculate z(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + p - 11 = 0, 5*c + 10 = 4*p - 9 - 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let t(r) = 20*r - 2. Let g be t(p). Let o be (-6)\/(-2 - 0) + -1. Calculate the highest common divisor of o and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - 50 - 37 + 65)*(-27 + 39*m + 14 + 13) to s*m**2 + n*m + p*m**3 + g and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 5*u + 0*u + 4. Let b be (-49)\/(-14) - 1\/(-2). Let r(o) = -3*o - 2. Let t(k) = k + 1. Let d(x) = -r(x) - 5*t(x). Give b*c(f) + 5*d(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(7\/4)\/c**43)\/(c**(-2\/41))**(1\/14) assuming c is positive.\nAnswer: c**(-47351\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 s when three letters picked without replacement from eqzszepeppb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10246 + -6022. What is the highest common divisor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -49, 1039, 4, 1, -2, -3 in descending order.\nAnswer: 1039, 4, 1, -2, -3, -17, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -58077 in descending order.\nAnswer: 7, 2, -58077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-2) - (-1)\/1. Suppose 6 = -3*v + 18. Suppose 0 = -4*d - 4*o + b, -v*d - 28 = -3*o - o. Is -3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/(-112))\/(1\/(-16)*10\/5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79763038, -79763036, -79763034?\nAnswer: -79763032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/(i**15\/i)*i*i)*i*(i*i**(-10)*i)\/i)\/((i\/i**(-19\/5)*i*i)\/((i\/(i\/(i*(i*i*i**(-2\/39))\/i)))\/i)))**7 assuming i is positive.\nAnswer: i**(-5257\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157*t**2 - 15*t**5 + 233*t**2 + 17*t**5 + 176 - 34 + t wrt t.\nAnswer: 40*t**3 + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -522518\/51 + 10246. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 111.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuuqumumuuuuuuuuuuq. Give prob of sequence uu.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19125675*j + 10393093.\nAnswer: 19125675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let n be x*(24\/(-9) - -3). Suppose -h - 4*y = 1, 4*h = -n*h - 4*y + 8. Does h = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 29*t**2 + 24*t - 7. Let k(r) = -25*r**2 - 24*r + 6. Let a(s) = 7*k(s) + 6*y(s). Let w(c) = 2*c. Determine w(a(x)).\nAnswer: -2*x**2 - 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/86317 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 1272?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 549424 or 16?\nAnswer: 549424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -70*a. Let i(c) = -71 + 2*c + 127 - 56. Determine i(b(q)).\nAnswer: -140*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z + 2403268 - 2400316 = 0 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/((y**10\/y)\/y*y))\/y)\/((y**(2\/7)*y)\/y)*(y**(-2\/9))**(1\/26))**28 assuming y is positive.\nAnswer: y**(-27172\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 + 37275*s**4 + 632665*s**3 + 3236165*s**2 + 4723410*s + 2082640 = 0. Calculate s.\nAnswer: -7438, -8, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 29\/5. Let u be 1\/(-6)*(-8)\/10. Which is the closest to 1\/3? (a) 0.1 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*t**4 + 907 - 907 + (t**3 - 4*t**3 + t**3)*(-30 - 4*t + 30).\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -11*o + 494. Let g(q) = -247 - 4*q + o. Let m(t) = -t. Calculate g(m(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12134*w**2 - 1. Let j(m) = -m**2. Determine v(j(g)).\nAnswer: 12134*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -605\/3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 895\/15 - 1\/(-3). Let y be (16\/(-10))\/((-8)\/i). Suppose s - 4*p - 7 = 0, -3*s - 5*p + 1 = -3. Calculate the highest common factor of y and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1413 (base 9) to base 12\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1\/4, 0.4, -321, -2 in descending order.\nAnswer: 0.4, 1\/5, -1\/4, -2, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -3, -1, 10, 3 in increasing order.\nAnswer: -55, -3, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 37380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, -4, -171707 in decreasing order.\nAnswer: 4, -4, -9, -171707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2. Let m(b) = 6*b - 12. Let i be m(8). Let y(h) = h**2. Let c(v) = i*y(v) - 5*k(v). Let p(w) = -6*w**2. Determine p(c(u)).\nAnswer: -216*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/70*34 - 5)\/((-1)\/7532749) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = -17*v + 537420 + 77748. List the prime factors of v.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128068, 127911, 127648, 127279, 126804, 126223, 125536?\n\"Answer: -53*i**2 + 2*i + 128119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 618016726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7471 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 + 2*n**2 + n + 6. Suppose -15*b + 378 = -4*b - 53*b. Let j = 8 - 6. Let g(h) = -13*h**3 + 9*h**2 + 4*h + 25. Calculate b*l(y) + j*g(y).\nAnswer: y**3 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34563+1229322\nAnswer: 1263885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*n - 18 = -77*n + 5*l + 11, 0 = 31*n - 3*l + 63 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -156 in ascending order.\nAnswer: -156, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 29*k**2 - 186*k + 28. List the prime factors of c(-25).\nAnswer: 2, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 23*k + 386. Suppose -3*u + 7*u = -3*s + k, 5*s + 25 = 0. What is the remainder when u is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 23024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4*k + 3. Let j be h(4). Suppose -5*w = -4*y + j*y - 32, 4*y - 3*w = -60. Let v = -2 - y. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - f + 4*f)*(-2 + 2 - f**2) + 0*f**3 - f**3 + 7*f**3 - 2*f**2 - 2*f**3 + 2*f**2 + f**2.\nAnswer: 5*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjp when three letters picked without replacement from {w: 1, j: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 11. Let n be j(-5). Let d(u) = u**2 + 1. Let q be d(n). Solve 0 = -6*c + q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 12, 0.4, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 294*c + 3099. Give a(86).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byb when three letters picked without replacement from byb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16*f + 475. Let r be (10\/4)\/(195\/(-468))*5\/1. Determine z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/6 - (-50)\/(-30). Suppose -5*n + u*c = 4 - 9, n = 5*c - 21. Solve -4*v - 13 + 5 = -4*d, -n*v - 3*d = -13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119 or 0?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let o = -2 - -8. Let a be ((-6)\/(-4))\/(12\/16). Let b(k) = -6 + 2*k**a + o. Determine j(b(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/21 + 12\/21. Solve -u*x + 0*a + 4 = -2*a, 4*x + 2*a = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 - 80. Let k(q) = -14*q + 1. Let i(d) = d. Let f(v) = -5*i(v) + k(v). Calculate the remainder when z is divided by f(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -330232?\nAnswer: 330231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + 4.2. Let i = -2118\/13 + 10616\/65. Put 1\/5, i, b in increasing order.\nAnswer: 1\/5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-143)\/(-22))\/(2\/20). Suppose -6*j - 5 = -q. Let z be j\/(-5) + 12\/3. Solve -29 = r - 5*m - 9, z*m = 3*r + 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:09 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183529 and 446?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283695?\nAnswer: 3, 5, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m**2 - 13*m - 11. Let o(k) = -k**2 + 2*k. Let q(z) = 2*o(z) + t(z). Is q(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28924529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 98 - -6*(7 - 6). Let x be 6\/(-39) - (-57691892)\/b*148. Round x to the nearest one million.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*g - 183 = -159*g + 137 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16*x**2 - 2. Let z(q) = -31*q**2 + q + 4. Determine -5*g(p) - 2*z(p).\nAnswer: -18*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 + -206. Let g be p\/14 + ((-264)\/(-28) - 7). Solve x + 3 = -z, -5*x = -4*z + g*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - -116?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70332 and 48?\nAnswer: 281328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 19, 50, 101, 178, 287?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 69. Give h(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1250726301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or -97607.9?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*q = 13, -5*k - q + 0*q + 21 = 0. Let r(z) = -5*z**3 - 6*z**2 + 5*z + 4. Let d(l) = -6*l**3 - 7*l**2 + 6*l + 5. Calculate k*d(f) - 5*r(f).\nAnswer: f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 2*i - 27. Determine n(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 2*v - v)*(-97 - 9762 + 8882 - 16515 - 26756 + 83) in the form o*v + f and give o.\nAnswer: 44165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*f*h**2 + 6*f*h - 4*h**2 - 4*h wrt h?\nAnswer: 88*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*n + 5735, -2*b = -3*n + 977 + 2459. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025366787 rounded to 5 dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-2)\/sqrt(6)*-5)\/((sqrt(12) - (sqrt(12) + ((sqrt(192) + sqrt(12) + sqrt(12))*-3 - sqrt(12))))*5).\nAnswer: 2*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -176?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5300 - (-1 + 7))\/((-2)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3414a1 (base 11) to base 7\nAnswer: -4422652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6617*p + 6624*p + 42 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121133 (base 4) in base 16?\nAnswer: 65f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480)*3)\/sqrt(12))\/(sqrt(48)\/(sqrt(12)\/sqrt(2))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtd when three letters picked without replacement from {d: 4, n: 1, b: 4, t: 2, w: 1, c: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(2 + -1 + sqrt(3267) + 3))**2 + -4.\nAnswer: 85536*sqrt(3) + 1063688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**3 + 71988*q + 2614642.\nAnswer: 18*q**2 + 71988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3957, 3715, 3309, 2739?\n\"Answer: -82*r**2 + 4*r + 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.1746mg in micrograms?\nAnswer: 88174.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -97*y**2 - 7*y - 38. Let b(m) = 98*m**2 + 6*m + 32. Determine 6*b(p) + 5*g(p).\nAnswer: 103*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 15) to base 6.\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 0.3, 8, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((75\/20)\/(7\/28))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l*l*l**(-4\/5)*l*l**(5\/7)\/(l*l**(-6)*l))**(-32))**(-2\/15) assuming l is positive.\nAnswer: l**(2176\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 4*t**2 + 2. Let r be j(4). Suppose -2 - 20 = -r*g. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1208 divided by -4.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + 0*s + 1 + 5*s. Let u be 76\/(-18) - 2\/(-9). Determine t(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 30. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30913 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1082*b**4*x + 6*b**2*x + 2*x - 57 wrt b?\nAnswer: 4328*b**3*x + 12*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4734 + 4737. Let g(x) be the first derivative of 0*x**2 + 0*x**5 + 0*x**4 + 0*x + c + 2*x**6 + 4\/3*x**3. What is the third derivative of g(s) wrt s?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -47062*v + 47067*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-21)*c*c\/(c\/(c*(c**(-2\/17)\/c)\/c)) assuming c is positive.\nAnswer: c**(-342\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 24*b**2 + 6*b + 1. Determine n(-3).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 8*n - 23. Let k(q) be the third derivative of q**5\/60 + 3*q**4\/4 + 3*q**3 + 18*q**2. Let c be k(-18). Is u(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 1338*(-38)\/(-1539)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754 (base 11) in base 16?\nAnswer: -df0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-1\/3))*d*(d*d*d**(11\/4))\/d*d)**(-49) assuming d is positive.\nAnswer: d**(-3577\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7\/(-9) - (-7)\/63?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635471?\nAnswer: 635471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(22) + sqrt(550)*6)\/sqrt(2) + 1.\nAnswer: 1 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7992607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45654786?\nAnswer: 2, 3, 845459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -d0?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + v - v + (-4*v + v + 5*v)*(-1 + 0 - 1) + 2*v + 0*v - 4*v - 3*v + 2*v - 4*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c + 4*c)*(-4 - 3 + 5)*(11 - 11 + 3*c**2).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 23 = 2*w - 17*b, 0 = -3*w - 5*b - 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 628*h + 61 - 628*h.\nAnswer: 4*h**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 723580?\nAnswer: 2894320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -797*c**2*k**2 + 65*c**2*k + 15836*c**2 + 3*c*k**2 - 3*c wrt k.\nAnswer: -1594*c**2*k + 65*c**2 + 6*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.66, -3, 9 in decreasing order.\nAnswer: 9, -0.66, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/7)\/v))**(-32)*((v**(7\/4)\/v)\/v*v)\/v*v*v*v*v**(-2\/5) assuming v is positive.\nAnswer: v**(-9911\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 1, h: 1, k: 1, u: 1, m: 3}. Give prob of picking 1 m and 2 q.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801180 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -17 + 232. Let v = -37 + y. Is 15 a factor of 5\/(15\/(-6))*(v - 36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -33525*d**2 - 39621*d - 91. Let w(s) = 25144*s**2 + 29716*s + 70. Let y(l) = -10*q(l) - 13*w(l). What is the second derivative of y(j) wrt j?\nAnswer: 16756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7750, 7815, 7898, 7993, 8094, 8195, 8290, 8373?\nAnswer: 8438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -36\/1097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1010?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 172? (a) 185 (b) 2\/7 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.33 - -4.3751. What is o rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 5*u + 10*u - 10*u. Let k(j) be the second derivative of j**4\/6 - j**3\/2 + j. Determine 8*k(s) + 5*v(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxxxxexx. What is prob of picking 2 x and 1 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41726 (base 9) to base 15\nAnswer: 8279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 445*o - 246*o - 206*o. Let r(b) be the second derivative of -b**4\/24 + 2*b**2 - 2*b. Let j(f) be the first derivative of r(f). Determine j(n(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3 - 1\/3*r**2 - 1\/3*r - 2\/3*r**5 + 1\/3*r**4 + 0 = 0. Calculate r.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10\/1883?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12. Let b(o) = -10*o**2 - 2*o - 15. Calculate -b(n) + 2*w(n).\nAnswer: 10*n**2 + 2*n + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.8 + -20.31. Which is the nearest to 0.1? (a) 2\/21 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 1. Suppose -2*r = 4*j - 5*j + 3, -28 = 4*j + 2*r. Let s be w(j). Suppose -3*k = 5*f - 35, -3*k = -s*f + f - 3. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/3 + 28*a**3\/3 + 272*a**2\/3 + 452*a\/3 + 70 = 0.\nAnswer: -5, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 98919637?\nAnswer: -98919637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9466 + 5219 = 55*r. What is the third derivative of -r*x**2 + 18*x**3 + 4*x**5 - 70*x**2 + 42*x**2 + 5*x**2 wrt x?\nAnswer: 240*x**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2 - 236*f - 2260 = 0.\nAnswer: -226, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/14758 and 77\/752.\nAnswer: 118064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 308204*v + 11873713202 = 0.\nAnswer: 77051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12119909 less than 0.05?\nAnswer: -12119908.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1)*(1 + 1). Suppose 5*f = 2*x - 31, x + f - 21 = -u*x. Let y = -47 + 55. What is the highest common factor of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 94 = -2*w, 5*v + 5*w - 100 - 10 = 0. Let t = v - 11. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9348 - 9319. Calculate the highest common factor of d and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 99 = 99. Is p less than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/9 (b) -25\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*w - 2595 = 0, -16*s + 17*s - 1301 = -w. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*c**4 + 8490*a**2*c**3 + 503*a**2 + a - 62 wrt c?\nAnswer: 8*a**2*c**3 + 25470*a**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245949780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2700 divided by 6\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48614574?\nAnswer: 2, 3, 683, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 82*g + 1458. Let n be y(26). Let h(o) be the second derivative of 0*o**n + 1\/3*o**3 + 41*o + 0. Let v(m) = -21*m + 2. Give h(v(r)).\nAnswer: -42*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.3. Let o = -12.8 - w. Let h = -13.00056 - o. Round h to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4523892 by 376991.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 104, 156, 200, 236, 264?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*f + 191, f - 5 = -u + 34. Let i = u - 34. Let y be i\/35 - 4\/14. Sort y, -1, 3 in decreasing order.\nAnswer: 3, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52*((-29)\/12 - -3). Which is smaller: 29 or u?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1559, -3115, -4669, -6221, -7771, -9319, -10865?\nAnswer: -12409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17089954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20699 + -20652. Put 3, h, 0.04 in descending order.\nAnswer: h, 3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2718274 = 133*h + 141*h - 880716. What are the prime factors of h?\nAnswer: 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294*n + 158*n + 196*n - 1320 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16104982?\nAnswer: 2, 8052491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 0*t**2 - 1 - 2*t**2 - 6*t**2 as z + s*t**2 + x*t and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n - 7. Suppose -6 = -3*l + 9. Calculate the remainder when t(l) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -19 - 13 + 6*s**2 + 30 + s**3 + 4*s - 4*s**2. Let z be y(3). Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 + 27 + 288 + 193 + w**2.\nAnswer: w**2 + 713","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1568*q**2 + 12268*q**2 + 3161*q**2 + 5316*q**2 to d*q**2 + m + i*q and give d.\nAnswer: 19177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1377*(12\/(-18) - (-4 - -2)). Let t be (-2832)\/o + 6\/27. Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 308588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*t + 2*n, 4*n - 3 = -3*t - 29. Let x(f) = -14*f**3 - 3 + f**3 - 177*f - 2*f**2 + 8 + 180*f. Is x(t) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w - 8. Suppose 11 = -l + 5*l + k, 0 = 3*l + 4*k - 5. Suppose -2*j - 9 = -l. Sort w, 3, j in ascending order.\nAnswer: j, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8645? (a) -11 (b) 12 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/18 and -35\/2696?\nAnswer: 24264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (1 + 1)\/2. Suppose -2*f = 3*z - 13, -z = -l*z - 3*f + 2. Suppose p = -z*v - 2*p + 19820, 4*p = 5*v - 19855. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70404 - 10560703\/150. Find the common denominator of -51\/20 and v.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4105 is divided by 2032?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*((-10 - 8) + 10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 4*n + 6. Let p be w(-4). Suppose 16*d - p = 13*d. Find j, given that 1 - 2*j**2 - 2*j + 8*j**2 - 5*j**d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1\/112 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p + 4*i = -4, -p - 5*i - 5 = 0. Suppose -a + 7 = -5*h, -9 = -7*a + 6*a + 3*h. Solve -3*s + p*s = a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/1084813 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + 0.16. What is the closest to z in -0.1, 0.5, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**3 + 1. Suppose 10*v - 5*v = 25. Suppose 0*o = v*o + 5. Calculate f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 336 - 331. What is the third derivative of -53*l**2 + 8*l**2 - 21*l**5 - 3*l - 47*l**t - 2*l**4 + 2*l**4 wrt l?\nAnswer: -4080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 4\/3)*3. Suppose -q*a = -0*a - 20. Let b(v) = -v**2 - 6*v + 6. What is the remainder when b(-3) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -3999) + 0 + 3 + -1. Suppose 0 = 5*p - q + 299. What are the prime factors of p?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.119 - 0.571. Let t = n - -0.29. Which is the nearest to -2? (a) t (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f + 116. Let x be b(-9). Let w be x\/(-7) - (-38)\/(-133). Solve i + 2*d + 10 = -i, 0 = -w*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*s = -123*s - 66. What is the remainder when 218 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**3 - 10*b**2 + 15*b - 17. Let x(w) = -3*w**3 + 5*w**2 - 7*w + 8. Let y(l) = 4*v(l) + 9*x(l). Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.772 + 0.872. Let j = -66 - -47. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 20. Suppose m*u = 42*u - 4. Find the third derivative of s**4 + 15*s**4 - 43*s**2 + 15*s**2 - 2*s**u wrt s.\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2 + 5 + 0)*(2*w**2 - w + w).\nAnswer: -8*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 33*o + 287. Determine j(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1, 0 in descending order.\nAnswer: 0, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-98)\/(-6) + 1\/(-3) is divided by 8\/28 + (-122)\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 7, p: 5}. What is prob of picking 2 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9305.\nAnswer: 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/3)\/v))**(-8\/5))**(-26)*(v**0)**(-26)*(v**(-1\/3)*v)\/(v**(-6)*v) assuming v is positive.\nAnswer: v**(917\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 3 - 5*k - 5*k + 7*k to x*k**3 + f + y*k + r*k**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 321*p + 969. What is d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130.9698 and -237.\nAnswer: 31039.8426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 24 = 4*c, -c + 3*b + 11 = -5*c. Is -2*1\/c*(-21006)\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41422 (base 5) to base 3.\nAnswer: -10202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5149 = 22*z - 5171 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 12) to base 10.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*u = -0*q + 12, -15 = -5*q - 5*u. Suppose 0*l + 5*l = -3*m - 6, q = -5*m - 4*l + 3. Suppose 0 = 4*v - 5 - m. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471610.\nAnswer: 2, 5, 7, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -107718366 divided by -10927\nAnswer: 9858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m. Let p(c) = c**2 + 4*c + m*c**2 + 1 - 2*c. Determine p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21247 or 21153?\nAnswer: 21247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**5\/70 + 206*j**4\/7 - 236*j**3 + 4960*j**2\/7 - 97*j - 27. Solve a(n) = 0.\nAnswer: -1240, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -3*a - 1\/7*a**2 + 1\/42*a**4 - 3 - 1\/21*a**3 + 1\/70*a**5. Let y(k) be the first derivative of v(k). What is s in y(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*z**3 - 29*z**3 - 8*z**4 + (4*z**2 - z**2 - z**2)*(-2*z**2 + 3*z**2 + 0*z**2) in the form l*z**3 + h + r*z + y*z**2 + b*z**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*d + 7 = -0, 5*n - 3*d - 5 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9855 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1880\/7 + -268. Let i = -3 - -2.8. Let v = i + 0.1. Which is the nearest to v? (a) 1\/6 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -4*y. Let s = 40.56 - 41.2. Let w = -3.36 + s. Put -5, y, -0.02, w in increasing order.\nAnswer: -5, w, -0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, 4, 12 in descending order.\nAnswer: 12, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7588 divided by -542.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5 = 32*a - 37*a, 2*a - 23 = 5*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n - 13. Let m be (14 - -1)*(16\/(-200))\/((-40)\/300). Calculate w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*l**2\/3 - 6427*l + 305\/3 = 0 for l.\nAnswer: 5\/316, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52226311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17987 + 0.18. Round o to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42382376 rounded to four decimal places?\nAnswer: -0.4238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 8*d - 996 = 0. Let v = d - -88. Let y(c) = c**3 - 6*c**2 + 4*c + 5. Give y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 425756*v**4 + 693831?\nAnswer: 1703024*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(18)\/(sqrt(6)*-3).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*l - 76*l = 204*l - 1276 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-7 + 3 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 427.7382 to the nearest integer.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1517.9+0.3\nAnswer: -1517.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.8 + -38.8. What is the nearest to -1\/5 in 5, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2. Let h(j) = 330*j**2 - 123*j. What is h(a(p))?\nAnswer: 21120*p**4 + 984*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 77964106127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321639379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -64, -128, -226, -370, -572, -844?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 3*l + 0 - 2. Let b(j) = 29 + 26 + 29 - 83. Calculate -5*b(g) - f(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/39792 and 50\/237.\nAnswer: 3143568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((351\/27)\/(-39)*4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 13*x - 20. Let h be a(-15). Find the common denominator of 95\/32 and h\/25 - -14*(-89)\/(-360).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 3*j + j + (2*j + j - 2*j)*(-1 - 4 + 4) + 3*j + 5*j + 7*j + 0*j - 2*j + 0*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 13*h**4\/6 - 2*h**3\/3 - 3*h**2\/2 - 13*h. Does 18 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -272, -543, -832, -1145, -1488?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*j*m**4 + 25*d*j*m**3 - 2*d*j*m**2 + d - 47*j*m + 2*m**3 - m**2 wrt m.\nAnswer: -72*d*j*m + 150*d*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73006.66 centimeters to nanometers.\nAnswer: 730066600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 - 76. List the prime factors of p.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*w)*(-3*w - 15*w + 6*w)*(4 - 2 - 1) + 2500 - 2500 + 22*w**2 in the form v + n*w**2 + h*w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8100 divided by 100.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241040 - 0?\nAnswer: 241040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/4*q**4 - q + 0 + q**2 + 1\/20*q**5 - 1\/3*q**3. Suppose -5*i - 2*z = -0*z - 12, 3*z = 2*i - 1. Determine w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 3. Let x(g) = 6*g + 4. Let j(r) = -3*b(r) - 2*x(r). Is j(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114, 499, 1142, 2043?\n\"Answer: 129*r**2 - 2*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + d = 0, -5*w - 131*d - 9 = -129*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -215352 divided by 153\nAnswer: -23928\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*d**3*h**4 + 3*d**3*h - d**2 - 6*d*h**3 - h**4 + 19*h**2 wrt h.\nAnswer: 5376*d**3*h - 36*d - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/60 + h**5\/30 + h**3\/3 + h**2. What is the remainder when a(-2) is divided by (-3)\/(15\/(-70) + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-20)\/240)\/((-10)\/8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 365306411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -731*n**3*p*t + 1989*n**3*r - n**2*p*t**3 - n**2*t**3 + 2*n**2*t - 16*n*p*r*t**3 - 16*n*p*t + 2*n*t**3 wrt r.\nAnswer: 1989*n**3 - 16*n*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/240 + f**4\/12 + 2*f**3\/3 + 10*f**2. Find m such that o(m) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000113987 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + (-26 - (9 + (17 - 25))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 0*p**2 - 2*p**2)*(-p + 4*p - 5*p) - 119 + 0*p**3 + 117 - 3*p**2 + 2*p**3.\nAnswer: -2*p**3 - 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (11 - (13 - 6 - -21)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-35))\/((-3)\/5 + -2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33677 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 407305 divided by -4?\nAnswer: -407305\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5364235 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495099503 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0*g - 4*g + 900, 2*g + 650 = 3*d. What is the common denominator of 1 + -14*(-39)\/(-48) and 2\/10 - 314\/d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2)*u))**27\/(u**(1\/2))**(-2\/37) assuming u is positive.\nAnswer: u**(1000\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 13*a + 9. Let y(m) = -6*m + 4. Let l(t) = -2*w(t) + 5*y(t). Suppose -3 + 6 = 3*g. What is the lowest common multiple of g and l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 5 + 31. Suppose 21 + 9 = p*o. Let m be (11000\/6)\/(o\/(-180)). Round m to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1375 - 612 = 2*n, -2*n = -4*t + 1588. Let u be (2 + -10 + 6)*241\/2. Let i = t + u. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6786324 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19435206 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2) - -4 - -1. Suppose 0 = -2*x - u*x + 20. Solve 2*m + 6 = -4*c - 0*m, 0 = 2*c + x*m - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3403764 and 952?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*8\/20. Suppose m + f = -1, -m - 3*f = -7 + 2. Let x be m\/(-18) - 64\/(-144). What is the third biggest value in x, -0.03, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -289 - 0?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36914836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 2*l + 1. Let t(d) = -12*d**2 + 14*d + 7. Let u(h) = t(h) - 7*v(h). Let j(m) = -153*m**2. Give u(j(a)).\nAnswer: 46818*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3787)\/(-1082)*12\/154.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2830*l**2 - 1254?\nAnswer: 5660*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 4878a1?\nAnswer: 4878a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + -1*(4 + (sqrt(11) - (sqrt(11) + 1))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831123?\nAnswer: 3, 92347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3846780 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 3, 0.2, -1\/8, 1\/2, 5 in descending order.\nAnswer: 5, 3, 1\/2, 0.2, -1\/8, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6968761354524 - -8.\nAnswer: 6968761354532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-7)\/(-5))\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066768551 rounded to five dps?\nAnswer: 0.06677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6149, -12699, -19249?\n\"Answer: -6550*v + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 193*a**2 - 1222.\nAnswer: 3*a**2 + 386*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -422741900 rounded to the nearest one million?\nAnswer: -423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/528*-388 + 8.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -116\nAnswer: -5\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + d - 3. Let b(i) = -13067*i**2 + 11468*i + 18. Let m(r) = -b(r) - 6*u(r). What is the second derivative of m(k) wrt k?\nAnswer: 26194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 8:41 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert e0ed28 (base 15) to base 11.\nAnswer: 6036161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 360 = -3*p. Suppose -66 = -2*o + 4*q, 0 = 14*q - 12*q - 8. Calculate the remainder when p is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3371957.6 to the nearest ten thousand.\nAnswer: -3370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/13 + (-556)\/9035*(-25)\/(-23).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2583582, 2583572, 2583562?\n\"Answer: -10*f + 2583592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Suppose q = -3*t + 1 + 23. Let c = t + -4. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/13890 and -23\/110?\nAnswer: 152790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 14. Let h(p) = 2*p**2 + 12*p - 22. Let n(s) = -9 + 3*s + 2*s - 2*s**2 + 3*s**2. Suppose 139 - 103 = -3*k. What is k*n(i) + x*h(i)?\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 1537.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:28 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(0 + 2 - 4)*(2*g**2 - 3*g + 3*g + (0 + 10 - 5)*(235*g - 235*g - 279*g**2)).\nAnswer: 5572*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(190) - (sqrt(190) - (sqrt(190)*2 + sqrt(190))))*5 - (sqrt(190) - -2*-2*sqrt(190))))\/(-1*sqrt(1440)*1*-1).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-451472)\/10556 - (-3)\/(-13)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 672b80 (base 12) to base 8\nAnswer: 6211420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s**3 + 8*s - 7*s**2 - 2*s + s**3 + 5. Let q be f(6). Let g = 10 - q. Solve -g*p + 5*r = 0, -2*p + 4*r = -7*p - 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let q(m) = m**2 - 3*m. Let p(h) = -53*h**2 - 9*h. Let z(o) = -p(o) + 3*q(o). Determine z(g(t)).\nAnswer: 224*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101880 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 13*y = 140 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 13*g**2 - 12*g - 19. Let m(f) = -14*f**3 - 7*f - 14. Let z be m(-3). Let d be 11\/(z\/98)*5. What is n(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13631618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 113181.53 to the nearest one hundred.\nAnswer: 113200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25498204 and -11.\nAnswer: 280480244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 731595600*v**3 - 2*v**2 + 84222*v + 774 wrt v?\nAnswer: 4389573600*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 626.8889 millilitres?\nAnswer: 0.6268889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*w + 89*w + 17*w**4 + 2*w**4 wrt w.\nAnswer: 228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*v - 4*n, 11*v - 462 - 434 = -5*n - 976 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwnwbgwbhwwnwwwb. What is prob of picking 1 h and 1 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**6\/40 - 3*i**4\/8 + i**3 - 23*i**2. Factor v(h).\nAnswer: 3*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 5\/3, 166, 1910\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*b**2 - 5 + 17 - 5*b**2.\nAnswer: -113*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) - 5*(sqrt(637) + 2 + sqrt(637))) + -2 - (1 + sqrt(637)*-2)*2)**2 + 3)*4.\nAnswer: 3920*sqrt(13) + 64496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34349 and -4.\nAnswer: 137396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19725*c - 14057*c - 1165*c.\nAnswer: -34947*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o**2 - o)*(3*o**3 + 2*o**3 + 2*o**3).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 56810 and 51.\nAnswer: 56861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 38, -104, -14, 2, 3 in ascending order.\nAnswer: -104, -14, 2, 3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.51 + 1.08. Let t = 37 + u. Let j = 0.23 + t. Which is the smallest value? (a) -0.5 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 26*g + 4 = 0. Let d be (-5 - (-2 + -1))\/((-2)\/g). Suppose -w - 60 = -d*w. Solve 3*l - w = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38481149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.2 (c) -0.3 (d) 34 (e) 3 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.35 and -7295643.\nAnswer: -7295642.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 17*d - 10. Let w be b(-10). Solve 0 = 5*s - 0*s - 4*z - 20, 4*s = -4*z - w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjljlumlhujluu. What is prob of picking 2 u and 1 w?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(28)\/sqrt(4)) - (sqrt(75) + (-2*sqrt(75) - sqrt(75)) + sqrt(75))**2.\nAnswer: -75 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 590 = g, -2*f + g + 2*g = -582. What is the remainder when f is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 + 104*l + 545 = 0. Calculate l.\nAnswer: -5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f**2 - 4*f - 3. Let w(x) = 23*x**2 - 11*x - 8. Let k(a) = 3*w(a) - 8*z(a). Find the second derivative of k(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2 + 81451*w + 8.\nAnswer: 81451*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + 62\/70. Let h(u) = -u**2 + 3*u - 2. Let x be h(3). Let y = x - -4. Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*(-14)\/(-462))\/(1\/(-9)*-13)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 269 - 189. Let n = 79.88 - q. Sort 0.5, n, -3\/7, -5 in ascending order.\nAnswer: -5, -3\/7, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -339377813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2034 + -10166\/5. Sort k, -9\/4, 2\/13 in ascending order.\nAnswer: -9\/4, 2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (232\/435)\/(8\/3 - 2). What is u in 0*u**2 + 0 + b*u**3 + 0*u - 6\/5*u**4 = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let g = h + 14. What are the prime factors of (-1 - -27)*6\/g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.1, 6\/7, -8 in descending order.\nAnswer: 6\/7, -0.1, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -32 + 92 + q - 30 - 32. Determine y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293 - -2901\/10. What is the common denominator of -29\/4 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*c**3 + 0 - 2*c**4 - 2*c**2 + c**4 - 2 in the form t*c**2 + p*c + m*c**3 + d*c**4 + b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 + 61 - 224 - 76 - 3*l**3 - 52 - 5*l.\nAnswer: -3*l**3 - 5*l - 546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 8 - (-167 + 111) - -15?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26224 and 880.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(198) + sqrt(198))\/sqrt(11))\/(sqrt(9) - sqrt(63)\/(sqrt(7) + sqrt(175))).\nAnswer: 36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113400 (base 6) in base 10?\nAnswer: -9864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1\/((-2)\/(-10)). Let t be 159*16\/18 - 2\/6. Let u = -126 + t. Calculate the highest common divisor of i and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -60, -58, -56, -54?\n\"Answer: 2*k - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = -8. Suppose 4 = -3*c + f*c. Differentiate c*t**2 + 2 + 0*t**2 + t**3 - 4*t**2 with respect to t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose 2*w = 4*m - 30, w - 6*w = m + 20. Suppose 2*c - 20 = -m*j - 12, -3*c - 3 = 0. Solve -h - 1 = -j*v, t*h + 0*v = 3*v + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8\/(-24) - 23045\/30)*(-18 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 - (-23)\/7. Suppose f + b*c + 183 = 30, 5*c = f + 161. What is f rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.971166 litres to millilitres.\nAnswer: 9971.166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 1*sqrt(102)*-4) + sqrt(102) + sqrt(102) - (sqrt(102) + 6*-5*sqrt(102) + sqrt(102)))\/(-1*(sqrt(150)*5 - sqrt(150))*-5).\nAnswer: 7*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 1:28 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -177*j + 360*j - 184*j. Let w(b) be the first derivative of 35*b**2\/2 + 9. Determine i(w(a)).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472321 is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Suppose 4*q - f*z + 117 = -69, 2*q + 83 = -z. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 - s**5\/12 + s**4\/3 + 5*s**3\/6 + 38*s**2. Determine c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 17*j - 63 = -4*d, -3*d + 166*j = 92*j - 157*j + 657 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-526170)\/4740 - -111)*(-6)\/((-5)\/2 - -1).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.488 and -9?\nAnswer: 8.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 37*h**6\/6 - 12*h**2 + 30. Find the second derivative of k(s) wrt s.\nAnswer: 740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/8))**(2\/111)\/(b**(-6)\/(b*b*(b*b*(((b\/(b*b**(-2\/11)\/b*b)*b)\/b)\/b)\/b)\/b*b*b)) assuming b is positive.\nAnswer: b**(44833\/4884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -14*u - 2*u - 6*u - 6*u. Let j(b) = 3*b**2. Give y(j(w)).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 323212021 (base 4) to base 9\nAnswer: 411757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17863 (base 9) to base 5\nAnswer: 343434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 99*g**2 + 172*g + 2031. Calculate o(97).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.2, 6.52?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 168692341 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11017 + 2)\/((-33)\/15). Let r = n - -5004. What is the common denominator of 69\/4 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 16. Let x be p(8). Suppose 2*m - 11 - 9 = x. Let u(r) = -r**3 - 6*r**2 - 2*r - 9. Calculate the remainder when m is divided by u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-24))\/(7*74\/(-2331)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - w**5 - 2*w**5 + (w**2 - w**2 + 3*w**3)*(-2*w**2 - 3*w**2 + 7*w**2) + 0*w**5 + 2*w**5 - 6*w**5.\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 27. Sort 1, c, -2 in decreasing order.\nAnswer: 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87.2037 + -0.7263. Let g = w + 87. Let t = g - -4.93. Which is the smallest value? (a) t (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:44 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-600))\/(3\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2166 - -2165.9. Let r = -2 + 1.6. Which is the nearest to u? (a) r (b) -2 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6432565 litres?\nAnswer: 643.2565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/36)\/((-32)\/(-288))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 133? (a) 0.8 (b) 3\/2 (c) -3 (d) 152 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21420 divided by -9.\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -0*d + d - 13, -4*r - 5*d = -41 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(4\/6*-3). Suppose 4*r - 1 - 15 = y. Let m(w) = -2*w - 7. Let x be m(-5). Sort r, 5, x in ascending order.\nAnswer: x, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*y = 372, -5*q + 960 - 368 = 2*y. Let c be q - (0\/1)\/1. Suppose -2*l - 5*t + 24 = -l, 5*l - 4*t = c. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {p: 4, h: 5, n: 1, e: 3, x: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -60477\nAnswer: -10\/20159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 4:13 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165661 by -19.\nAnswer: -8719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29 + 0.1. Let o = -0.11 - -0.33. Let h = o - y. What is h rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 710 = 12683 + 19178. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -11, -0.5 in ascending order.\nAnswer: -11, -0.5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from xnarfcx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56700\/(-99))\/(-28) - (-36)\/66?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9*s = 4*s - 11, 3*l - 5 = -s. Suppose 7100928 + 30099072 = -l*u. Round u to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 20421 = -72*x - 18507. Calculate the remainder when 1 - 1 - -5*10 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 9*y**3 + 4*y**3 + 6*y**3 + y**4 - 1 as z*y**2 + q*y + f + v*y**3 + b*y**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - -8 - (15 + -11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2906, 5116, 7336, 9572, 11830, 14116, 16436, 18796?\nAnswer: 21202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1565\/(-2)*374\/880. Let r = 333 + n. Is 1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2403 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1288*b + 1063. Is k(25) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/75665 - -75679\/529655. What is n in 0 + 3\/7*n**2 - 1\/7*n**5 + 2\/7*n - 3\/7*n**4 - i*n**3 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(3\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-1 + sqrt(275)*-1)**2)*-5.\nAnswer: 25*sqrt(11) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:43 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 37*u**7\/210 - u**5\/60 + 19*u**4\/24 + 2*u**2 + 36*u. What is the second derivative of q(j) wrt j?\nAnswer: 444*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s**3 - 15*s**2 - 5*s + 6. Let u(v) = 37*v**3 + 61*v**2 + 20*v - 24. Let p(f) = 9*t(f) + 2*u(f). Is p(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (-211)\/(-7) + (-3)\/21?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*3*4\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1375.9 - 994.5. What is the biggest value in 5, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) -2476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 0. Let c(v) be the second derivative of v**3\/3 + 19*v**2 - 63*v. Let n be c(d). Solve n*r = -3*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(384)\/sqrt(8)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, l: 1, y: 1, i: 2, h: 1}. Give prob of picking 1 i and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10664)\/9331*14\/12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*m = -3*m + 903904, 3*q + 5*m = -903880. What is q rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*p*x**3 - 4*b**2*p + 36096*b**2*x**3 + 6*b*p*x**2 + 7*b*p*x + 2*b*x**3 + 57*b*x**2 - p*x + 55*x**3 wrt b.\nAnswer: 4*p*x**3 - 8*p + 72192*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w + 33*w = 4*x - 24, 0 = -2*x - 2. Suppose 0 = -m - 29 + 11. What is the third biggest value in w, 0, -2\/11, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.231 + 0.241. Let i be (-10 - -10)*1\/2. Suppose i + 25 = -5*g. What is the smallest value in -1\/2, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10959 and 13\/2529.\nAnswer: 32877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 7, j: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 7c?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**6\/36 - x**5\/15 + x**3\/9 - x**2\/12 + 1197. What is c in m(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -82.2. Let j = -96.4 - -96. Let z = j + 0. Put 0.1, z, -3, h in increasing order.\nAnswer: -3, z, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479.2 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -140*c**3 - 179*c**2 - 5. Let t(z) = -70*z**3 - 89*z**2 - 2. Let q(v) = 2*s(v) - 5*t(v). What is the third derivative of q(l) wrt l?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(-4\/21))**(-27) assuming u is positive.\nAnswer: u**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001035003 to seven decimal places.\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1*2\/57. Let i(g) = g**2 - 24. Let s be i(-5). Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) + (sqrt(960) - -6*sqrt(960)*-1))*6)\/((-3*-2*sqrt(108))\/(1*sqrt(81))).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 43. Suppose -2 = -2*s + d. Solve 3*h + 2*m - 5 = -0*h, 5*m + 19 = s*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t + 20*t - 180 = 0. Let g = 23.94 - 24. Sort 1\/2, t, g in decreasing order.\nAnswer: t, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 465, -13, 1.3, 50.\nAnswer: -13, 1.3, 2, 50, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igj when three letters picked without replacement from iiwijwiig.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1 - 108*n**2 - 1 + 96*n**2. Let k(b) = 2*b - 7. Let g(v) = v - 4. Let r(j) = 7*g(j) - 4*k(j). Determine z(r(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = -4*h, -5*g + h + 7 + 19 = 0. Let y(b) = 3425*b**2 - g - 5 - 3450*b**2. Let n(s) = -2*s**2. Determine y(n(u)).\nAnswer: -100*u**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 64504*r. Let a(v) = 8*v**2. Give t(a(x)).\nAnswer: 516032*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2. Let m(y) = 5*y + 13. Let b(i) = 2*i + 4. Let r(a) = -8*b(a) + 3*m(a). Let c be r(9). Let n(j) = 5*j**2. Determine c*n(f) - 3*x(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*k + 564331254 = -506251746. What is k rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164580 - -110080. What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1807708515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 4)*(-1 - 9). Calculate the least common multiple of 4 and (4 + r\/(-12))\/((-3)\/(-135)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14463392 by -451981.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 19. Suppose 9*g = 228 + 87. Suppose -g*j + 2187 = -2818. What is the remainder when j is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -47 (b) 5 (c) 22 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n. Suppose n = -0*k + 3*k. Let d = 8 - k. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -4092\nAnswer: 5\/2046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(3) + -5)**2.\nAnswer: -10*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s + 824 - 653 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-5 - -10) + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqxq when four letters picked without replacement from xqxqqxqxqqqxqqqqxqq.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**2 - 3600*q - 3600*q + 2 + 10801*q - 3601*q.\nAnswer: 13*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.1476l to millilitres.\nAnswer: 495147.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 104*u - 197. Determine a(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18691, 34808, 50925, 67042, 83159?\nAnswer: 99276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 38+-11622963\nAnswer: -11622925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2802 - -5?\nAnswer: -27b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2226247\/63 + 35338. Calculate the common denominator of -71\/147 and q.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:38 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 510697\/175306 + -1\/7622. Let p = j + -1349\/92. What is the common denominator of p and 71\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((2*sqrt(160))\/sqrt(4))\/(-2*sqrt(8)*2) + 1 + sqrt(5) + sqrt(240)\/sqrt(3) + -5)**2.\nAnswer: -36*sqrt(5) + 465\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.149 - -1.149. Let v = 306 - 303. What is the smallest value in 4, v, l, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -19, -2, -4.\nAnswer: -19, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29c7 (base 14) in base 4?\nAnswer: 1310003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012284.8 rounded to the nearest 10000?\nAnswer: 2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66606, -133203, -199800, -266397?\n\"Answer: -66597*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*o = -24, -5*a - o + 51 = 18. Let h = -49 - -52. Calculate the remainder when a is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12753 and 289068.\nAnswer: 867204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -4*k - 2*k + 2*k + 4*k**2 - 3. Let w(x) = -4*x + 2. Let m(h) = -11*w(h) - 6*z(h). Differentiate m(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/3))**(-8)*(u\/(u*u**1*u))\/(u\/(u*(u*u\/(u\/(u*u*u**(-4\/7)))*u)\/u)))**(-5\/4))**1 assuming u is positive.\nAnswer: u**(1075\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1949107, 3898210, 5847313, 7796416, 9745519?\nAnswer: 11694622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98351 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4\/3 (b) 7 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -8092.91\nAnswer: -16185.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.17595 and -4.6?\nAnswer: 5.77595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + -13 + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1047*s - 32 = 206*s + 3332 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 148730328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(704)*1)\/((sqrt(256) - sqrt(16))*3).\nAnswer: 10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 + -160. Suppose o = -3*b + 5*s - 2*s, -5 = 3*b - 2*s. Calculate the lowest common multiple of 47 and b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gudu when four letters picked without replacement from guucuduugcuceueud?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 17. Suppose -z = -6*z + h. Let o be 0*5\/(7 - z). Solve 5*f - 15 = o, 5*b - f + 4*f = 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 7}. What is prob of sequence uu?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrvvtvbttrtvvvr. What is prob of picking 2 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - h = -3*j - 22*j + 243, -5*h - 25 = 0 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 12*o**2 + 2*o - 7. Let b be y(6). Suppose -r = -3*m + 481, -b*m + r + 230 = -569. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 5)*(-31)\/(-93). What are the prime factors of ((-56)\/112)\/((-1203)\/1202 - r)?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 - 8*f**4 - 28*f**3 - 16*f**2.\nAnswer: 4*f**2*(f - 4)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1893610*p**5 + 679*p + 13 wrt p.\nAnswer: 37872200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 5*f + 370000. What is f rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyxycccsccsy. What is prob of picking 1 s and 1 c?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x + 82*x + 1 - 167*x - 28*x - 46*x.\nAnswer: -175*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006788 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -261 - -266. Suppose -2*m - h + 2 + 6 = 0, 4*h = n*m - 33. Calculate the greatest common factor of m and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*24\/9 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a + 4, 4*a = -4*x + 4. Let j = x + 4. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 86 = -2*t, -t + 3*t - 2*m - 76 = 0. Let f(k) = 5*k**2 - 3*k - 3. Let p be f(-2). Let r = t - p. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 7. Let n be q(12). Let v be -1 + (2 - n) + -3. Suppose 3*c**5 - 12*c**v + 0*c**4 + 16*c**2 + 20*c**4 + 44*c**3 + c**5 = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*h - 51023 + 155600, -4*z = -h + 34872. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 10 = -8*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -55*d**2\/2 + d + 9. What is the tens digit of z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 6*x + 0*x + (1 + 0 + 1)*(6*x - 4*x - 4*x) - x + 2*x + 2*x to the form l + i*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2332 + -1?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - c - 17 + 0 = 0, -3*c + 5 = 5*b. Suppose 8*j + 2*i = 4*j + 1738, b*j - 1729 = -5*i. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 - 4*d + 5. Let t(g) = g**2 - 8*g + 12. Let z be t(6). Suppose o - 5*o + 16 = z. Determine a(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 264, 989, 2174, 3807, 5876, 8369, 11274?\n\"Answer: -2*i**3 + 242*i**2 + 13*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70836819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -83?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 - 4*j**3 + (j - 5*j + 3*j)*(0*j + 0*j - 2*j**2) + (-j + j - j)*(-3*j - 2*j**2 + 3*j) + 4*j - j**3 - 4*j)*(-3*j + 3*j - j).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 - (3 + (-1 - 864))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((56\/2)\/(-7))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 194*r**2 + 734*r + 4955. Calculate j(190).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -40*i**2 - 20*i - 45. Let c(q) = -10*q**2 - 5*q - 11. Let t(x) = 6*b(x) - 25*c(x). List the prime factors of t(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5 - i - 3 - 4*i**3 - i to a*i**2 + k*i**3 + l*i + n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 47 - 68 = 0. Let h be 77\/22*(-12)\/21. Calculate the remainder when (2\/5)\/(-4*h\/1780) is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**2 + 15147*n - 45467. Give l(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/1794 or 0?\nAnswer: -37\/1794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and (((-896)\/40)\/14)\/((-3)\/210)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -306, -687, -1220, -1905?\n\"Answer: -76*w**2 - w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.4992.\nAnswer: -0.19968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 46 = 2*q, -5*q = 4*m - 8*q - 50. Calculate the least common multiple of -5 + 3 + (0 - -108) and m.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*t - 162963 = -2593*t - 1076*t for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 10:04 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138895 divided by -9.\nAnswer: 138895\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -17124.3 to the nearest 100.\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 190 = 16*u. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.14 + 84. Round l to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1\/8, -0.05, 8, -1564?\nAnswer: -1564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2.5, 3\/23, 0.0007?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95431311\/456940 + -111845\/536. Let w = 1\/1240 - v. What is the nearest to 8\/7 in 0.5, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 - 2*t**2 + 2*t - 29. Let z be k(-20). Let w = 447527\/18 + z. What is the common denominator of -77\/36 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.5 (c) -33 (d) -2\/5 (e) 0.5 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -43*p + 194, -58*r + 4 = -59*r + 5*p for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p + 3*t, -t - 2 = -p + 3. Suppose 5*f - d = 93, 4*d - p - 4 = -f. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 10*u - 2521, u - c + 42 - 285 = 0. What is the remainder when 279 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosssssszasf. Give prob of picking 1 a and 1 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/2 (b) 2 (c) 0 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 232 = 268. Let h(w) = -5*w. Let o(v) = 11*v + 1. Let c be (-1)\/(-2) + (-15)\/2. Give c*h(m) + r*o(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000131 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 3*x**2 + 3*x + 6. Let k be z(4). Suppose -4*y + k*l + 7969 = 2629, -6701 = -5*y - 4*l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11915.\nAnswer: 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t)*(-2*t**2 + 4 - 4) + (t - t + 2*t)*(4*t**2 + 0*t**2 - 2*t**2) - t**3 + 2*t**3 + t**3 + (t**2 - 1 + 1)*(2*t + 0*t - t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -942779.9 to the nearest 1000.\nAnswer: -943000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13956210.\nAnswer: 2, 3, 5, 155069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/45)\/(11*(-9)\/3960)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 27 = -3*s, 3*s + 1 = -2*m + 7*s - s + 30 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 43231250?\nAnswer: 1\/4323125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -2. Let k = 3 - f. Is (-7)\/14 - 106\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2245 - 374 = -54*m - 42*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3855.793 to the nearest 10.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/3990 and -8\/12005.\nAnswer: 1368570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let f(w) = -18*w - 27*w + 2 - 8 - 3*w. Let u(b) be the first derivative of -b**2\/2 + b - 11. Let r(l) = f(l) + 6*u(l). Give v(r(g)).\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 2*k + 3*k)*(9 - 7 - 10047*k**2 + 4*k + 10048*k**2) + 0*k**3 - 2*k**3 - k**3 - 2*k**2 to the form s*k + g + j*k**2 + b*k**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 3*h**2 + 263 + h**4 - 4*h**2 - 43*h**3 - 263 to m*h + q*h**4 + a*h**3 + x*h**2 + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 407 - 362 - 851 as t*b**2 + a*b + n and give n.\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 29, -8, -69, -148, -239, -336?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 2, 4, 6?\n\"Answer: 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (-51 + 46)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6566060247 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {c: 6, j: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98575 + -68051. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -135, -272, -451?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1048425 and 58\/45.\nAnswer: 3145275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14856 - -16056. What is the highest common divisor of 130 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5307 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**6\/120 - z**5\/20 + 2*z**3\/3 + 3*z**2\/2 + 2. Let u(v) be the second derivative of l(v). Factor u(h).\nAnswer: (h - 2)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9603 and 8019.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.653 take away -1168?\nAnswer: 1558.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26718 is divided by 295?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.18 + 1.28. Sort -1\/2, d, 8, -3.\nAnswer: -3, -1\/2, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2\/532493.\nAnswer: -5, -2\/532493, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 3. Let p be i(2). Let n(u) = 60*u**3 + u**2 + u - 2. What is the remainder when n(p) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d - 7. Determine c(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*f**6 + 14*f**4 + 3567*f**2 wrt f.\nAnswer: -14520*f**3 + 336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2836*r**2 - 492 + 243 + 249 to the form l + c*r + i*r**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.4 (b) -1\/5 (c) -14 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - 11\/(-4). Suppose -x - 32 = -4*d, -4*d + 27 = -5*x - 5. Let q be 4*(-4)\/d + (-8)\/(-2). Solve q = n - w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3095*r**2 - 9*r - 36. Let g(w) = -774*w**2 - 2*w - 8. Let o(x) = -9*g(x) + 2*p(x). Let s(u) = -u. Determine o(s(y)).\nAnswer: 776*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + -2 + (-22 - -12 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -9. Let u(t) = -6*t**2 - h*t**2 - t**2. Let a(m) be the first derivative of -m**3\/3 - 25. Calculate u(a(q)).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b0b7 + -a33?\nAnswer: -1baea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1274, -3029, -5564, -9269, -14534?\n\"Answer: -65*r**3 - 1300*r + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17449145 by 67.\nAnswer: -260435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394436 is divided by 657?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + q - 3. Let n(j) = 6*j**2 - 2*j + 5. Let c(l) = -5*n(l) - 8*v(l). Let m be c(1). What is the smallest value in m, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 32. Let f(u) be the second derivative of u**4\/12 + 7*u**3\/6 - u**2 + 12*u. Let h be f(-9). Let c be q(h). Solve 4*l - 2*l + 2 = c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -1069?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218267 divided by -1137.\nAnswer: 218267\/1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 - 32 = 0. Let q be 1 - (0\/(-3) - u). Let k = -3 - q. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949372?\nAnswer: 2, 47, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w*w\/(w*w*w**18)*w)*w)\/w*w)\/w**(4\/7) assuming w is positive.\nAnswer: w**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 17 + 47 = 0. Let m = 35 - o. Suppose -m*r = 2421539 + 4278461. What is r rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 + 218*i**2 - 76*i - 134. What is h(-73)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - 55\/(-70). Which is the nearest to r? (a) -2 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -6. Let z = -4 - l. Which is the biggest value? (a) z (b) -0.3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3630?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 73*b + 3076. Let y be o(-42). Sort -1, y, 5, 0, -25 in increasing order.\nAnswer: -25, -1, 0, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (10\/25)\/(1\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198.7 - 199. Which is the nearest to x? (a) 2 (b) -11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6444283.9999941 + -6444363. Let d = 65 - 144. Let b = o - d. Round b to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from kkynbbbjkjybkbkkbb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.0765 to 1 dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1818602 or -0.2?\nAnswer: -1818602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 102, 271, 508?\n\"Answer: 34*x**2 - x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013477 to four decimal places.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (10\/(-35) + 236\/(-56)). Let v(j) be the first derivative of -11 - h*j**2 - 10*j + 5\/3*j**3. Solve v(i) = 0 for i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -14*h + 3. Determine v(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -161\/3*y + 53\/3*y**3 + 51*y**2 + 4\/3*y**4 - 49\/3.\nAnswer: (y - 1)*(y + 7)**2*(4*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 121 + 3b?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.04309822 - -5.043. What is k rounded to six dps?\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 224, 448, 672, 896, 1120, 1344?\n\"Answer: 224*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*s + y, 13 = 2*s + s + 4*y. Let t(b) = -2*b + 5*b - 7*b. Calculate the remainder when s is divided by t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/25? (a) 34 (b) -1\/7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a + 4*q - 67, 3*q = 9. Let z(j) = j + 3*j + 0*j + a - 3*j. Let n be z(-8). Solve 2*w + 4*o - 12 = 0, -2*w + 3*w - 8 = -n*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 97. Let y be 4\/(-14) - (-144)\/14. Calculate the greatest common divisor of r and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*16\/8 + 1. Let d(s) = -s + 2. Let p be d(0). Let u be p*((-14)\/(-6) + -2). What is the nearest to -0.1 in l, u, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 4*s, 0*s + 2*d = s - 12. Let a(i) = 5*i**2 - 11*i - i**2 + 6 - i**s. Is a(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477151399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 32 = -k, -3*k + 0*j + 92 = -2*j. What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 267 = -252 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 27. Suppose 59 = 5*r + 3*c + w, 2*r + 3*c = 29. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10592279 to the power of 1\/2, to the nearest integer?\nAnswer: 3255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50470 (base 9) to base 4.\nAnswer: -20012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24*64379\nAnswer: 1545096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1739584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -1\/60139 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 7*j. Calculate r(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -25*t - 35. Let a(b) = 32*b + 52. Let j(u) = 7*a(u) + 10*g(u). Let z(k) = -9*k + 5. Calculate 6*j(h) - 17*z(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8527258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 39058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 15824*f - 15824*f + 65 as g + v*f + m*f**2 and give g.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1687027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91 or -127699\/4?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 39956847 and 5.\nAnswer: 39956852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8638 take away -0.07?\nAnswer: 8638.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**(2\/45)\/((o\/(o*o**(-1\/3))*o)\/o**(-4)) assuming o is positive.\nAnswer: o**(-238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100912 and 224?\nAnswer: 201824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 3929*k**2\/3 - 3861224*k\/3 - 3857296\/3.\nAnswer: -(k + 1)*(k + 1964)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 676.2619.\nAnswer: 672.2619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 92631973?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*u = 4416 + 2899 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1524)\/(-20) - 2\/10. Let d = c - 51. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 15 = 12*h, 111 = -30298*h + 30296*h + 5*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 145534 (base 7) to base 14\nAnswer: a4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-1 - (-1)\/(-1)). Suppose c + 59 = o*a + 1, -5*c = 3*a - 88. What is the highest common divisor of 126 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.03 (c) 0.3 (d) -0.2 (e) 47\/5 (f) 13 (g) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11584 divided by 16\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - v + 2*v - 63.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5129.19 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827315 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -80d7af + 1?\nAnswer: -80d7ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) + (1507\/137 - 185\/(-4)). Let c(j) = 968*j**2 + 1. Let l be c(1). Calculate the highest common factor of x and l.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-375)*5*(-9)\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-187)\/(-6) - (-37)\/(-1110)*-25)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6372*u**4 - u**2 - 28889*u wrt u?\nAnswer: -152928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -422161440 rounded to the nearest one million?\nAnswer: -422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 5) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:27 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21101 - 21101.2. What is the closest to z in 43, -10, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -5*j**6\/6 - 24*j**5\/5 - 5*j**4 + 10*j**3 + 25*j**2\/2 - 6*j + 45. Let m(r) = 0. What is r?\nAnswer: -3, -2, -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11801252 (base 10) to base 12.\nAnswer: 3b51518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/10 and 47\/3969?\nAnswer: 39690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -769053 equal to -769008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 4 + 0*x**3 - 19.\nAnswer: -2*x**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4.7. Let l = 0.5 + p. Let g = 11 + -11.1. Are g and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74768604.55 to the nearest ten thousand.\nAnswer: -74770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14524832 divided by 976\nAnswer: -14882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2692 - 0.0308. Is -516 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 7546\nAnswer: 3018.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/36 and -11\/99780?\nAnswer: 299340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, n: 1, z: 2}. What is prob of sequence zzs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from jnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oot when three letters picked without replacement from {d: 3, w: 6, t: 3, o: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -6127. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 18, 0 in increasing order.\nAnswer: -51, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z**(-1\/27)*z))*z*z\/(z*z**(-5\/2))*z assuming z is positive.\nAnswer: z**(295\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofbzozx. What is prob of sequence bzox?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:58 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Suppose 4*u + r*t = 164, 41 = u - 4*t + 2*t. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361696 greater than 361710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 16198863?\nAnswer: 16198863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2358940 is divided by 786279?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 8)*(-3)\/3. Let u(n) = 3*n**2 - 4*n - 24. Let p(m) = 7*m**2 - 7*m - 47. Let r(f) = 3*p(f) - 5*u(f). Is 37 a factor of r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5274571 and 2.\nAnswer: 10549142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8294 and 88.\nAnswer: 33176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3*t + 2)*(-2 + 6 - 2) - 2*t - t + t)*(4*t + 4*t - 5*t).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -131629173 times 2?\nAnswer: -263258346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3137\/15 - 209. Suppose 0 = 202*g - 195*g + 7. Which is the closest to g? (a) x (b) -1\/2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vock when four letters picked without replacement from {k: 3, o: 1, v: 1, s: 3, c: 5, a: 2}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 64.2916 decades?\nAnswer: 0.642916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -17*t**2 + 17*t - 70. Let m(l) = -21*l**2 + 16*l - 70. Let u(y) = -5*k(y) + 4*m(y). Let q be u(0). Calculate the highest common divisor of q and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3437115.7 and -5.\nAnswer: 17185578.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*p + p - h, -4*h = 5*p - 12. Suppose p = 8*c - 4*c. Put -5, -1, c in descending order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2314, -4625, -6936, -9247, -11558, -13869?\nAnswer: -16180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -142. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 - -509. Find the first derivative of z*x**2 + 128 + 2*x**4 + 153*x**2 - 307*x**2 + 0*x**4 wrt x.\nAnswer: 8*x**3 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 26*s**2 + 58*s + 9. Let a be y(28). Differentiate -61*o + 92 + 232*o - a*o with respect to o.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -7*q + 42. Suppose -5*h - 3*u = -q, 6*h - 3 = 5*h - u. Let b(k) = -k**2 - 3*k + 2. Let y be b(-3). Sort h, y, 1, 0 in increasing order.\nAnswer: h, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 48\/155?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**4 - 2*r**2 - r + 1. Let j(u) = 5*u**4 + 233*u**3 - 4*u**2 - 38*u - 10. Let w(b) = -j(b) + 2*s(b). What is the second derivative of w(c) wrt c?\nAnswer: -36*c**2 - 1398*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1667092 is divided by 719.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 2. Let r be u(2). Let n(t) = 9*t**3 + 3*t**2 - 4*t + 3. Is n(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 - (10 - -6 - 15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12456 = 227*u + 119*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3 - 3)*(53 - 1 + 83 + 29 + 2).\nAnswer: 166*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*h - 22, 4*l + 5*h = -334 + 322 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-492)\/(-27) - (-4)\/(-18). Let a(x) = x**3 - u*x - 18*x**2 - 261 + 265 - 2*x**3. Does 12 divide a(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times -60\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009 - 3797.6.\nAnswer: -3797.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -338683 or -338682?\nAnswer: -338683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let z = -904000293\/796 + 1135679. Let f = -2\/199 - z. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130730388 is divided by 5420?\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - w**4 - 14*w**3 + 24*w**2.\nAnswer: w**2*(w - 3)*(w - 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1463974 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*5\/45*-6*(-5)\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, q: 1, c: 1, o: 1, r: 1}. Give prob of sequence qcrh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 65.904.\nAnswer: 69.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.108 - -0.108. Let w = 15 + u. Let y be ((-4)\/(-6))\/((-175)\/75). Which is the nearest to w? (a) y (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*t + 5855 - 43719 = -292*t + 3164 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 6)*(88*m - 90*m + 2 + 0 + (2 + 9 - 3)*(-3*m + 4*m - 3*m)) + 2*m - 3*m + 2*m.\nAnswer: -197*m + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -68?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80879950*k**3 - 251717238*k wrt k?\nAnswer: 485279700*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1 (c) 2\/7 (d) 1\/5 (e) 82 (f) -2.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*8\/(-320))\/(4\/(-8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let h be (b - 2) + 0 + -12100001. Round h to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 23) + -6 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 0*f + 3*f - 12, 0 = -5*h - 5*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 872946.6 litres to millilitres.\nAnswer: 872946600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.541624 * -0.5.\nAnswer: 22.770812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 4. Let y be (-3 + 7 + k)\/1. Suppose 4*c + w - 2*w = 149, -y*c - 2*w = -196. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89694686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12127192.5 rounded to the nearest ten thousand?\nAnswer: 12130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 19*p**9\/3024 + p**6\/36 - 6*p**3 - 30*p. Let s(h) be the second derivative of w(h). Find the third derivative of s(v) wrt v.\nAnswer: 1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 take away -17?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 + r + 7. Suppose -6*x = x - 7. Let w = 5 - x. Let p be g(w). Let v(q) = -q**2 - 7*q - 6. What is v(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 0. Solve u = 3*y - 5 - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z*z*z**2))*z))\/z*z**(2\/17)*z)\/(((z*z**(-1))\/z)\/(z\/z**(-1\/5))) assuming z is positive.\nAnswer: z**(-143\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x = 4. Let z = x - 2. Suppose 5 = 2*y - 5*q, y - 2*q + 5 = z*q. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.136813 decades in centuries?\nAnswer: 0.3136813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 8}. What is prob of picking 1 f and 1 t?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(4\/(-7) - 36\/84). Let g(h) = 1 - 4*h + 1 + 4 + 7*h**2. What is the units digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2775 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4685*y**2 + 3248*y wrt y.\nAnswer: -9370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 38307 and 38306 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 137ac2 - 3?\nAnswer: 137abf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67964.2381 plus 9?\nAnswer: 67973.2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*r**4 - 42*r + 24*r**4 - 43*r**4)*(4*r - 2*r + 1 + 0*r).\nAnswer: 2*r**5 + r**4 - 84*r**2 - 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3*n**2\/2 - 4. Let j(l) = -7*l**2. Calculate j(b(p)).\nAnswer: -63*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-120)\/(-150))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -522, -1615, -3436, -5985, -9262?\n\"Answer: -364*f**2 - f - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202 (base 9) in base 11?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (296\/(-5180))\/(2\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 7. Let s be a*(-1 - (-21)\/6). Does 16 divide 52 + s\/((-10)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 3*x**2 + 58*x - 2. Let w(v) = v**3 - v**2 - 1. Determine -g(t) + 2*w(t).\nAnswer: t**3 + t**2 - 58*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1514267406 to the nearest integer?\nAnswer: 38914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) 0.4 (c) 3\/4 (d) -330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1838 - 409 = -7*w. Suppose 5*n = -3*i + 319, n = -4*n - 2*i + w. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 21, 44, 75?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7357, 7352, 7347, 7342?\nAnswer: 7337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r + 12252 = 49*r - 2*h, r + 4*h = 2446. Calculate the greatest common factor of r and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(3\/8))\/u*u)\/u**7)\/(u**(1\/9)\/u*u*u*(u\/(u\/u**(-5\/2)))\/u*u) assuming u is positive.\nAnswer: u**(-287\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m\/(m**(-22)\/m))*m*m\/((m\/m**(15\/4)*m)\/m)*m)**(5\/6))**(-7) assuming m is positive.\nAnswer: m**(2695\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from jjjjrjjjrjr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*a + 1993, -2*a - 1 = 9. Let b = -245 - u. What are the prime factors of b?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -37550682*a - 48465. Let p(w) = 19371*w + 25. Determine 5*c(u) + 9693*p(u).\nAnswer: 9693*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0 - 5. Suppose 0 = 3*o + 2*o - 5*a + 25, 5 = 5*o + a. Let i = z - o. Solve 18 = r - 2*u + 7*u, -3*r - i*u = -24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 13) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413959961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 18. Suppose -g*t + 10*t = 80. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 491557300 and 19620.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3022 + -2452?\nAnswer: -5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 294 - b + 6*b**4 + b - 3*b**3 - 290 + b**2 in the form r*b + k*b**2 + j + h*b**3 + p*b**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - 13219340132.\nAnswer: -13219340131.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 654852 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1361567499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = 7. Let y be (-3 + 9)*10\/j. Let n = 23 - y. What is the lowest common multiple of 1 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/((-3)\/(-10)). Let m = 16733 + -16730. Put u, 2, m, 8 in descending order.\nAnswer: 8, m, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 37 + 0 = -2*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 38 = -3*z, 0 = -5*q + z + 31 + 187. What is the remainder when q is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -y + 6*y - 20, -4*y + 32 = 4*m. Suppose m*a - 5 = 15. Let c be 1*48\/10 + 8\/(-10). Solve -8 = c*g + a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1870000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2539 + -28899?\nAnswer: -26360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*w + 64*w - 67*w + 7*w + 40*w + 71)*(0*w**2 + w**4 + 0*w**2).\nAnswer: 64*w**5 + 71*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3767 + 6453. Let j = p + -2685.9998793. Round j to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1092, 1093, 1094, 1095, 1096, 1097?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -260*o**4 - 2028*o**3 - 794*o**2 + 131*o - 2 wrt o?\nAnswer: -6240*o - 12168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6524*h*m**2 - 12380*m**2 wrt h?\nAnswer: 6524*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 13) to base 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 4:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5633 = 7*x + 1664. Calculate the greatest common factor of x and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -24*h + 30*h. Suppose 3*w + m = -4*m + 736, 0 = 2*m + 8. What is the greatest common divisor of w and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -585 - 367*s - 17*s + 40*s**2 - 95*s + 584 to q*s + h + n*s**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 - 13*v**2 - v - 55. Let x(p) = -27*p**3 + 64*p**2 + 6*p + 274. Let l(k) = 11*u(k) + 2*x(k). Does 15 divide l(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -29, -26, -9, 28, 91, 186, 319?\n\"Answer: z**3 - 2*z**2 - 6*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmhrhvkyk. Give prob of picking 2 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (132 - 8) + -104 + (-3 - -12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 484\nAnswer: -5\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 + 7. Suppose -4*u + 2*j - 46 = 0, -u = 3*j - 7*j - 6. Let g(o) = 2*o**2 - 3. What is u*g(d) - 6*q(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13811?\nAnswer: 7, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*33\/(-66). What is the closest to -24 in 0.5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172.3826885 - -4.6173661. Let d = i + -177. Round d to 6 dps.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/35 - 1\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 6*v + 5*v)*(v**2 - 3*v**2 - 2*v**2)*(-3*v + 3*v + 3*v**2).\nAnswer: -84*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 3, m: 1, g: 1, i: 5, s: 1}. What is prob of picking 1 r and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 17*p**2 + 13*p + 20. Let m be n(16). Let g = m + 30. Solve 13 = g*a - 5*w, 4*a + 3*w + 19 = -2*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -131 - (62 - 191 - -132)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + 0.3. Let p be (-34)\/(-153) + 98\/(-36). Which is the second smallest value? (a) -4 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8676 and 147492?\nAnswer: 147492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, 4, -38\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5146*r - 2703*r - 15562*r)*(0 - 3 + 1) as w*r + g and give w.\nAnswer: 26238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 11*b + 40*b - 18*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 17377166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r - 4. Let y(k) be the second derivative of -k**3\/2 + k**2\/2 + 9*k. What is 4*c(l) + 18*y(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.98 + -0.980083. What is h rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.69, -5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 19 = 4*h. Let k(t) = -6*t**3 + 3*t**2 - 4. Let p(g) = -17*g**3 + 8*g**2 - 11. Give h*k(m) - 4*p(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109047480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 9*h**2 + 6*h - 11. Let f = 3 + -11. Let p be v(f). What is the greatest common divisor of p and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 1:14 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) - ((-3320)\/45)\/8. Let s = -11 - -7. Let o be (-40)\/(-2) - (2 + s). Solve 2*f + j - o = -3*j, 3*f - 2*j = z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 181, -2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 6.4 (c) 0.5 (d) 5.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*c + 4*k + 19, 4*c - k + 54 = 0. Suppose 3*u + 4*f = 39, 0 = 3*u - 4*f - 10 - 5. Let r = c + u. Sort r, 0, -5 in increasing order.\nAnswer: -5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 13*z + 15. Suppose -b - b + 24 = 0. Let a be v(b). Suppose 5*h = -u + 28 + 116, 0 = -h - a*u + 40. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9728 and 1216.\nAnswer: 9728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 1670*y + 1667*y + 8 + (-3 + 4 - 2)*(-3*y - y + 6*y) + 4 - 2*y - 4)*(7*y**4 + 0 + 0).\nAnswer: -49*y**5 - 126*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17444083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 523, -5, 0.1, -0.2 in descending order.\nAnswer: 523, 2, 0.1, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32144 divided by 4\nAnswer: 8036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 32*f**3 - 37*f**3 + 18*f**3 - 3*f.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/9 - 51*i**2\/2 - 310*i\/3 + 8344. Find l, given that t(l) = 0.\nAnswer: -2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 5*s + 3*g, 3*s - 21 + 34 = g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 72. Suppose 3 + 5 = g. Suppose 0 = m + p*m + g. Is m at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273678719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = -2*a, 34 = 4*t - 5*a + 11. Solve t*w = -2*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 - 2*u**2 - 4*u - 2. Let l be d(-2). Let s be -3 - l\/(2\/2). Let h = 69 - s. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 279. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*w**4 - 165*w + 209 wrt w.\nAnswer: -48*w**3 - 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 550 + 1074. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755740.6 seconds to microseconds.\nAnswer: 755740600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 173, 1, -4, -0.1?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69381.03km to millimeters.\nAnswer: 69381030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16860442 divided by 8430221\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 495.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696080, 1392047, 2087908, 2783663, 3479312?\nAnswer: 4174855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 + 888*l - 24760. What is a(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/307 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*m**3 + 12*m**3 + 42*m - 18*m**3 wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let z(k) = -67*k**2 - 6*k. Let r = 9457 + -9458. Give r*z(n) - 6*a(n).\nAnswer: 67*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2\/5 + 7363848*u + 16945705427220 = 0.\nAnswer: -4602405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/1935 + 6343\/50310. Let k be 9\/(-39)*6\/45. Let u = k - q. What is the smallest value in -5, u, -0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 10*c - 8. Let h be d(-11). Suppose h*x = 6*x + 9. Let j be (-3)\/15*(-1 + -24). Put x, -2, j in descending order.\nAnswer: j, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(5 - 2))\/(50\/(-15))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -s - 1, -3*s + 1 = -2*t - 4*s. Suppose -5*f + 5*l + 25 = t, -22 = -2*f + 3*l - 7*l. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*p = -2*v + 9, 3*v + 14 = -2*p. Let r be 0\/(1\/(-1)) + v. Let q be (-169)\/39 + ((-2)\/6 - 1)*-3. Put 9, q, r in descending order.\nAnswer: 9, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/((h*h**(5\/6)\/h)\/h))\/h**4)**(3\/7))**(-2\/39))**40 assuming h is positive.\nAnswer: h**(680\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (-7 + (-9 - -53))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 17*b**2 - 7*b. Give c(8).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.37341mm to meters.\nAnswer: 0.03237341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g = -36*g - 332392. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 16?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 4 + 0*l**2 + 7*l + l**3 - 11*l**2. Let b be t(6). Suppose -f + 8 = 3*a, a - 4*f + b*f = -2. Solve -4*g - a = -6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17126, 17163, 17218, 17291, 17382, 17491, 17618?\nAnswer: 17763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3\/3 + 5264*t**2\/3 + 10576*t\/3 - 42176\/3 = 0?\nAnswer: -4, 2, 1318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 1 + 2)*(-5 - 2*x + 5) - 3 + 2*x + 3)*(-2*x**2 - x + x) to l + d*x + p*x**3 + h*x**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 26*v - 137. Suppose -2*k = -4*k - 4, f = -2*k + 8. Suppose f*j - 188 = 8*j. Calculate the remainder when j is divided by w(-31).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 8*l + 10*l - 100, -1177 = x + 2*l - 27*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62\/(-93)*(-423)\/6. Suppose -16*d = r - 15. Let g be (-20)\/44*4\/2. Is g equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3528389, -3528390, -3528387, -3528380, -3528369, -3528354?\nAnswer: -3528335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4301155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31137271789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -234352?\nAnswer: -234354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 5403545?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672616.6 hours to nanoseconds.\nAnswer: 2421419760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 9. Let t be w(7). Suppose -k - t = -6. Suppose -k*n = -6 - 2. Is n < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (102 - 152)) + -23.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39810178 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 828314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-954)\/(-1596) + (-17)\/646.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 171*u + 1066. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2 = 2*n + 2*f, -3*n + 27 = -3*f. Is n\/(-16) - (-129)\/4 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -596524 + -929476. Round o to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*y - 2*y + 994 = 0, 2016 = 2*a + y. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 2*s + 1, 0 = -2*j + 2*s + 6845 - 6847 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99878.\nAnswer: 2, 49939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2928*q**3 - 2*q**2 + 31239*q - 2.\nAnswer: -17568*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, q: 5}. Give prob of sequence jjqj.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/31 and -85\/2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 3*j + 7. Let s be m(4). Suppose 18 = 3*b + s*t, -t - 10 = -b - 6*t. Let x(k) = k**2 - 5*k + 2. Let a be x(b). Solve -r = -a - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -442 - -590. What is the remainder when 1615 is divided by s?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 2*b + b + (1 - 2 + 4)*(-3*b + 3*b - b) - 3*b + b + 4*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 1. Let i = 1230 + -1233. Let r(k) = -2*k**2 - 2*k - 5. Give i*h(g) - r(g).\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 21*t**2 + 11*t - 55. Let r(p) = p**3 - 32*p**2 - 16*p + 82. Let k(g) = 8*m(g) + 5*r(g). Is k(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1 - 29*p**2 + 5068*p**3 + 0*p - p + 30*p**2. Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 10, -2*b + 86 = 5*d - 55. Suppose -4*p = f - 1 + d, -21 = 3*p + f. Let o(c) = c**2 + 6*c - 5. Let j be o(p). Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54659488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 + -101. Let f be 23 + -19 + 2*-28. Let x = f - -81. Calculate the remainder when c is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*w**4 + w**3 - 267 with respect to w.\nAnswer: 44*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 668, 3, -20, -2, -3, -38.\nAnswer: -38, -20, -3, -2, 3, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 - 0.2. Let w = 19.32 - y. Let f = -3.1 + w. Round f to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 330*u - 334*u - 4*g, -5*g = 3*u - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1238, 1702, 2162, 2618?\nAnswer: 3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*1 - (3*sqrt(110)*2 + sqrt(110)))\/(sqrt(90)\/(2*sqrt(9)) - (sqrt(10) - 2*sqrt(490))).\nAnswer: -16*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.06\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 12. Let k(n) be the first derivative of -n**4\/4 - 11*n**3\/3 + n**2 + n - 4. Let x be k(z). What is x rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**4\/4 - x**3\/2 - x**2 - 110. Determine u(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 9*q + 6*q)*(-1 + 5 - 5) + (0*q + 2*q + 0*q)*(3 + 1 - 5) + 5*q - 4*q + 0*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*s = -98*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:44 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7480 divided by -1496?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 2 i when four letters picked without replacement from lvivafvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Calculate a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1431 + 4291\/3. Which is the third smallest value? (a) s (b) 0 (c) 2.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(20)*2 + ((sqrt(120)\/sqrt(2))\/sqrt(12) - sqrt(5)) + -4))**2.\nAnswer: -800*sqrt(5) + 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1246 and 4004?\nAnswer: 356356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0063317 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-4)*12\/72.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 - 13*y**2 + 49*y - 59. Let b = 6 - 11. Let h(n) = 4*n**3 + 12*n**2 - 48*n + 60. Let z(o) = b*h(o) - 6*a(o). Factor z(v).\nAnswer: -2*(v - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1701467*f**3 - 1701515*f**3 + 3402887*f**3.\nAnswer: -95*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(7) - sqrt(7)*-3*5) + sqrt(7)) - ((2*sqrt(243))\/sqrt(9))**2.\nAnswer: -108 + sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (6 + 28 - 17)) + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, t: 2}. What is prob of sequence hh?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = -2*j - 0*l, -11 = 3*j - 4*l. Let k = -4.63 + 0.13. Let q = k + 5. Sort q, j, 2 in decreasing order.\nAnswer: 2, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*j - 1839 - 2070 = -1136 + 1421 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1813940 (base 11) to base 10.\nAnswer: -3079736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -136614 (base 7) in base 16?\nAnswer: -6705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1444)\/3249)\/((-22)\/9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -21. Suppose -60 = a*r - 2*c - 242, -2*c + 94 = 2*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3559.6389 + -17.0889. Let m = l + -3428. Let g = m - 114. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 64099125?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmwmmmzzzwmwmmmmzmm. What is prob of picking 1 w and 1 z?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + (175\/28)\/(-1))*2\/(-1). What is the third biggest value in 0, 0.036, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11\/132)\/(-1*(-3)\/12))\/((-22)\/(-3498)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 7*w + 8*w - 107*w**3 + 19*w**2 + 113*w**3 to the form t*w + r + d*w**2 + h*w**3 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 12 = 0. Suppose 6*m - 8 = u*m. Let h(t) = -t**2 + 10*t - 3. What is the least common multiple of m and h(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*j**3 - 70*j**3 - 38*j**3 - 61*j**3 - 71*j**3 - 53*j**3 + 358*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/90 and ((-4)\/(-14))\/1 + (-130)\/(-4004).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -586?\nAnswer: -58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5168124 divided by 132516?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3952455 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-756)\/198)\/(-14))\/((-12)\/198)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 253705.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68462, -68466, -68472, -68480, -68490?\n\"Answer: -i**2 - i - 68460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - -8021012.\nAnswer: 8021023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 16*a - 28 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 4*q - 5*q)*(0 + 0 - 2*q)*(4*q - 4*q + 2*q**2) + (-4*q**2 + 0*q**2 + 2*q**2)*(-q + q - 2*q**2) + q**4 - 2*q**4 + 0*q**4 - q**4 + 0*q**4 + 3*q**4.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3646 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/8 + 3*i**2\/4 + 2359*i\/8 - 2058 = 0?\nAnswer: -49, 7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033026 to the power of 1\/2, to the nearest integer?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100\/45 + -3*4\/54. Suppose 6*p - 15 = v*i + 3*p, 5*i - 15 = -3*p. What is the biggest value in -3, i, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (74 - 1179)*(910\/(-25) - -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 21239.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 9*n**2 + 12899*n + 116104. Determine p(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -62, -139, -246, -383?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-18))\/((-2)\/(-36)). What is the greatest common factor of 36 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872735032 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 116*y**2 + 3025*y - 8058.\nAnswer: (y - 79)*(y - 34)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.464358881 to four decimal places.\nAnswer: -7.4644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/1589, -0.058, -0.026?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5494370 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*j - 3 = 0, 4*s + 362*j + 17 = 359*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37820 and 20801?\nAnswer: 416020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t + 40. Let z be t*(18\/(-8))\/3. Let i = 11 + z. Solve -i = -5*j - 5*k, 5 = 5*j - 4*k + 27 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 132, 204, 284, 378, 492, 632, 804, 1014?\n\"Answer: x**3 - 2*x**2 + 71*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13564231 less than -0.63?\nAnswer: 13564230.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -286, -289, -292, -295?\n\"Answer: -3*p - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11\/7 of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 4*y. Let w be x(4). Let v be (-32)\/24 - 13\/(-3). Suppose f - 8 = -2*g, -4*f + 10 = -v*f + g. Solve w = 2*o, -f = 4*l - 0*o + 3*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56014 rounded to the nearest one hundred?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 2 - ((-5 - -1) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*s**2\/7 - 70*s + 100\/7.\nAnswer: -2*(s + 5)*(51*s - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 50817896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -184, 6\/11, 5?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 6. Let v(q) = -6*q**2. Give g(v(o)).\nAnswer: 36*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3868691*s + 3880656*s - 7749345*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**(2\/7))**(1\/44) assuming h is positive.\nAnswer: h**(1\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - 3\/(0 + 3). Suppose h - i**2 - 12 + 70*i - 4*i**2 - 239 = 0. Calculate i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2820, -11687, -26464, -47151, -73748?\nAnswer: -106255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (128\/((-175360)\/(-822)))\/(3\/(-5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 32. Let c = 31\/99 - 1\/11. Solve 0*l**4 + 2\/9*l**3 - c*l**5 + 0*l + 0*l**2 + t = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.073 + -0.027. What is the closest to 1\/7 in j, 0.5, -2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -388*k**3 - 6 - 4*k**2 + k**2 + 257*k**3 wrt k.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yizdqddyqq. What is prob of sequence yz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 5. Let o = 36 + a. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -543*f - 29317. What is j(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjkjkjkkjkjjk. What is prob of picking 3 j?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/25 - 26\/(-10). Suppose q - 4*r + 12 - 39 = 0, -29 = -q + j*r. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 + 13*o**2 + 6. Let r(b) = -9*b**3 + 38*b**2 + 17. Let y(k) = 2*k**2 + 37*k + 118. Let i be y(-5). Calculate i*v(p) + 6*r(p).\nAnswer: -3*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-3780))\/(3\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010 + 1010?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4329 + 1382.5671. Is q > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*i + 60*i - 248 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 375205 (base 8) in base 11?\nAnswer: 89471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:13 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -2 + 0 + 23. Let m be (z\/(-6))\/(-7)*36. Calculate the greatest common factor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2055, 1977, 1909, 1851, 1803, 1765?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4 - 22\/(-6)). Factor 0 + 0 + y**w - 3*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 13 - 17*c**3 - 14*c**2 - 9*c + 28*c**3 - 3*c**2 + 0*c**2. Let y(j) = -5*j**3 + 8*j**2 + 4*j - 6. Determine 6*s(q) + 13*y(q).\nAnswer: q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*i = -287*i + 900 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 20 = -15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3659224 = -189*q + 3673777 for q.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from ppprvegxgeg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13055701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*y - 11, 4*q = -2*y - 5 + 19. Suppose 0 = -2*v - v + y, 0 = -z - 2*v + 3. Solve -2*l - 3 - z = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14637\/4 + -3634. Calculate the common denominator of r and (-12)\/(-4) + (-82)\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*x = -380*x - 2*d + 16, 3*d - 11 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/(-12))\/((-528)\/198))\/((1\/(-1))\/28)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - (-3 + 0))*(-6)\/147. What is the smallest value in a, -1\/6, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*d + 55*d + 1408 = 0. Let o(s) = -2*s - 4. Let v be o(-3). Calculate the remainder when 6*(86\/3)\/v is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-4))\/(-1) - 0. Suppose 2*u - 21 - 1 = z*p, -u + 4*p = -23. Suppose 3*j - 2*w - 38 = 0, 4*j - 4*w - 49 = u. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x - 4. Suppose 3*f + 5 = 68. Suppose -186 = 15*p - f. Let j = -7 - p. Give z(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y + 17*y - 4. Is y at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Let c(s) = -z*s - 4 - 2 + 5. Let d(a) = -11*a - 2. Suppose 5*u - 3*u - 10 = 0, -5*w - 5*u = -45. Determine w*d(t) - 9*c(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - de?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -s + 155, 4*s + 0*s = -3*v + 599. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 0 - 3 - 2264*k**3 + 2 + 4533*k**3 - 2228*k**3.\nAnswer: 41*k**3 - 17*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2d4c99 (base 14) to base 13\nAnswer: 43806a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**3 + 14*c**3 - 74*c**3.\nAnswer: -69*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3396.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-648 + 659 - (0 + 1 + 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5668.990845 + 5669. Round p to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1807 = 6*i - 3959. Calculate the smallest common multiple of i and 12.\nAnswer: 11532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3862, -3921, -3980, -4039?\nAnswer: -4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 20*r - 4*o + 4236 = 0, o = -r + 4218. Calculate the smallest common multiple of 2 and r.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*c**2 - 1\/3*c**4 + 0 + 1\/3*c**3 - 4\/3*c.\nAnswer: -c*(c - 2)*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/4*k**2 - 5\/4*k + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -11010010?\nAnswer: -11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002923085 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 3\/4 (c) 7\/8 (d) -28\/75 (e) -62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 - 8*c**2 - 16*c**2 - 8*c**2 - 2.\nAnswer: -32*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*u**4 + 36*u**3 - 2*u**2 - 5279 wrt u.\nAnswer: -24*u**3 + 108*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:02 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1298*x - 122. What is the least common multiple of 49 and l(1)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {w: 1, i: 2, y: 4, a: 6, k: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 - 2*i**3\/3 - 16*i**2\/3 + 8*i.\nAnswer: 2*i*(i - 2)**2*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuxxxxuux. Give prob of sequence uuu.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-121.3\nAnswer: -121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-16))\/((-2)\/(-72)))\/((-6)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 + 4 - 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.081 - -322070\nAnswer: 322068.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-14 + (-1 - (-5 - -4))). Which is bigger: 25 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 1:34 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/9 + 4600*v**3\/9 - 1011254*v**2\/9 + 53172308*v\/9.\nAnswer: 2*v*(v - 103)**2*(v + 2506)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-1681)\/(-164))\/(81\/42)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*i = -1, -2*l - 5*i = 2*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:30 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15900\/(-5088)*(-7)\/(35\/(-4)))\/(10\/(-88))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:30 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45.875971 + -11.34995\nAnswer: 34.526021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734*v + d + 72 = 739*v, 2*v = -2*d + 24. Let o(z) = 25*z - 343. Give o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2268) + sqrt(63))\/(1*sqrt(225)) - ((1*sqrt(448) - sqrt(448))**2 + -5 - sqrt(49)\/(-1*sqrt(700))).\nAnswer: -59*sqrt(7)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 28*s**2 - s + 9. Let m(z) = 4*z**2. Calculate 7*m(i) + p(i).\nAnswer: -4*i**3 - i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**4\/6 + u**3\/2 - 3*u**2. Let q(d) = -d + 1. Give -2*p(b) + 6*q(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11477, -11478, -11479, -11480, -11481, -11482?\nAnswer: -11483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*d - h, -438*h - 13 = -4*d - 437*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 51 = -15*v + 21 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5255 + -767\nAnswer: -6022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -28*u + 211. Give v(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 2*w**2 - 1. Let p = -14 - -8. Let v be p\/(-9) - 22\/6. Let o(y) = -2*y**2 - 2*y**3 - 1 - 12*y**3 + 16*y**3. What is v*l(c) + 4*o(c)?\nAnswer: 2*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-14*z + 18*z + 0 - 2).\nAnswer: -8*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 v when three letters picked without replacement from vvrvvvrvrrv.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241 + -237. Sort 18, u, -5 in ascending order.\nAnswer: -5, u, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 8*j**2 - 13*j - 4. Let f be r(-6). Let t(u) = -u + f*u + 2*u + u. Let o(q) = -3*q**2. Determine o(t(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5490c (base 15) to base 16.\nAnswer: -41976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 120*a - 486. Let k be o(4). What is the closest to -0.02 in 2\/21, k, -2\/13?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599, 993, 1417, 1853, 2283, 2689?\nAnswer: 3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 15) in base 13?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 5*q - 6. Let p be a(-6). Let j be (-1)\/(-2) + 5\/(-10). Let v = p - j. Solve 0 = -w - v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 2, u: 2}. What is prob of sequence yh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*z + 45*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460609913?\nAnswer: 3, 7, 251, 487, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3))**(-50)\/(c\/c**10)**(3\/19) assuming c is positive.\nAnswer: c**(-3773\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -0.19 in increasing order.\nAnswer: -3, -0.19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -58. Let d be 4 - (-4128)\/90 - (-2)\/y. Solve -d = -4*o - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49493311 divided by 2.\nAnswer: 49493311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by -9.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 401 + -395. Solve -l - 15 = -7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 86. Let b(v) = -363*v**2. Calculate b(l(u)).\nAnswer: -363*u**2 + 62436*u - 2684748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/57 <= -1\/1200345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277, -271, -253, -217, -157, -67, 59, 227?\n\"Answer: c**3 - c - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 35. Let g be (-1)\/(k*5\/(-15)). What is the least common multiple of 10 and 14\/7 + g + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*i**3 - 17*i**4 + 154*i**3)*(0 + 2*i + 0 + (5 - 5 + 2)*(2*i - i - 3*i) + i + i - 3*i) + 108*i**5 + 192*i**5 - 119*i**5.\nAnswer: 232*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a - 67*a = -63 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, h: 3, o: 2, q: 4}. Give prob of sequence hfo.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -5*y**8\/2016 + y**7\/18 - 47*y**6\/144 + 5*y**5\/36 + 5*y**4\/2 - 2*y**2 + 4*y + 76. Suppose j(d) = 0. Calculate d.\nAnswer: -1, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 + -3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) 2\/3 (c) -0.07 (d) -5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*w**2 - 4615*w - 13215.\nAnswer: -5*(w + 3)*(14*w + 881)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w**2 - 23*w**2 - 34*w**2.\nAnswer: -95*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 0*x + 0*x + (2*x**2 + 0*x**2 - x**2)*(-8*x + 3*x - 4*x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000079643 to seven dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.008 and 1632321.\nAnswer: 1632320.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 73387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2600 = -5*c + 2495, -3*c - 45*u = 63 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a microgram in nanograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146154*k - 146154*k + 166*k**2 + 79 wrt k.\nAnswer: 332*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6107, -6111, -6115, -6119?\n\"Answer: -4*d - 6103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n**3 + n**2 - 4*n + 2. Let a(b) = 15*b**3 + 2*b**2 - 3*b + 3. Calculate 2*a(p) - 3*h(p).\nAnswer: -9*p**3 + p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (344\/400)\/43*4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 715422\/157 equal to 4558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 304?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + 107. Suppose -h*p + 8 = -36. What is the lowest common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 258 - 187. Suppose -19 + g = -14*w. Sort -2, w, 5, 10.\nAnswer: w, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 25. Suppose 4 - d = -i. Suppose n - 6 = -i*n. Is 4\/5 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23676 - 13385. What is the remainder when h is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*m - 5*m + 12*m.\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7635309*x**2 + 6796223*x?\nAnswer: 15270618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:53 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + -6 - -4 - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -134*s + 8. Let o be m(-3). Calculate the highest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (0 + 6) - 7) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (8\/(-12) - -1) + 110\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -11 (c) 5 (d) 0.091 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18654, -32337, -46020, -59703?\nAnswer: -73386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztd when three letters picked without replacement from {t: 3, d: 7, z: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 564472?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(500)*-3 - (sqrt(500)*-1 + 5)) + -5 + (sqrt(500) - (2*sqrt(500)*-6 - sqrt(500)))*1)**2.\nAnswer: -1200*sqrt(5) + 18100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.06. Let s = 27 + -17. Let z = s + -14. Which is the third smallest value? (a) i (b) -2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(6)\/sqrt(2)) + sqrt(16))\/(3*sqrt(8)*2)*-5.\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6545*r - 13101*r + 1365 + 6561*r.\nAnswer: 5*r + 1365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0 + 10*m**3 - 105*m**2 + 0*m - 1\/20*m**5 - 1\/8*m**4. Factor p(a).\nAnswer: -3*(a - 4)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 394*j**3 - 2*j**2 + 4. Let b be o(2). What is the third derivative of 10*d + 4 - 14*d**4 - 4 + 3149*d**2 - b*d**2 wrt d?\nAnswer: -336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5185523 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t + 8. Let j = 7 - t. Solve -2*a - 3*q = -j*a - 15, 25 = 3*a + 5*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, a: 5, v: 3}. What is prob of sequence avat?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 4*s**2 + 2*s - 5. Let x be k(4). Suppose -5*r = -x*r - 10. Solve -6 = -2*p - r*d, -5*p - 2*d = d + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402255225 a multiple of 1515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 + 2*j**5 + (-6*j + 3*j - j)*(-5*j**4 + 3*j**4 + j**4) - j**2 - 2*j**5 + j**2.\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 8:46 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 10518.\nAnswer: 4\/5259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -2\/31, 17 in descending order.\nAnswer: 17, -2\/31, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a - 2. Let d(s) = s + 1. Let v(p) = -2*d(p) - h(p). Let m be 1*31 + 80\/80. Let y(k) = 71 - 39 - 22*k - m*k - 32. Give v(y(l)).\nAnswer: -2916*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12*x + 14. What is the remainder when b(11) is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 + x - 1. Let s be a(2). Let y be s\/9 - 6\/9. Let b(i) = i**3 - 2*i**2 - i + 1. Is b(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*l - 2*w, 42 = l + 2*l - 3*w. Let m be 2 + -5 + l\/5. Let k = -16 - -15. Which is the smallest value? (a) k (b) 2\/3 (c) -23 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/9 (c) -3706 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiv when three letters picked without replacement from {i: 5, v: 8}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 3, i: 5}. Give prob of picking 1 a and 1 i.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.41 (c) -29 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63469 - -159751475\/2517. Is l < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose u*z = p + 3, -3*z + 5*p + 11 = 6*p. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339 - -712\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-26))\/((-327)\/(-106275)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11532\/13, -55, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 - 256*x**3.\nAnswer: -256*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1380 by 30.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4*1*sqrt(52) - (-5 + 3*sqrt(1872) + -4)) + 5)**2.\nAnswer: -1008*sqrt(13) + 10516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k. Let s(o) = 5*o - 7. Let t(z) = 4 - 4*z - 4*z + 4*z + z. Let p(i) = -4*s(i) - 7*t(i). Calculate m(p(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*z + 400*z + 401*z + 420*z + 377*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 minutes after 6:06 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (-18 - -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 358969979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*h - 1 = -5, 0 = -4*s + 3*h. Suppose -6 = -s*n - 0*n. Let w be ((-1)\/n)\/(1\/6) - -2. Let l(v) = v**3 + v + 1. What is l(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3180 and 150414.\nAnswer: 1504140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3472*h - 180 = -3442*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 217 divided by 5\nAnswer: 217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.044 - -0.044. Let m(r) = r**2 - 4*r + 5. Let d be m(4). Let i = 42.7 - 46.7. Put j, d, i in ascending order.\nAnswer: i, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 7*a - 2*t - 130, -10*t - 1 = -3*a + 33 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 62 = 68. Let i be 3 - (9\/(-6))\/((-5)\/a). Calculate the greatest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/90*12\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8869, -8873, -8879, -8887, -8897, -8909, -8923?\n\"Answer: -c**2 - c - 8867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -384, -1297, -2756, -4755, -7288, -10349, -13932?\n\"Answer: h**3 - 279*h**2 - 83*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27557311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -65. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.096 - 0.236. Let m = n - 0.2. What is m rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1743913?\nAnswer: -1743913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*k - 13, -32 + 68 - 11 = -a - 3*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z, -c + 8*z + 13 = 13*z. Suppose 0 = c*h - 14*h + 5. Let g(v) = v - 3. What is g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.57+97966819\nAnswer: 97966825.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0*g\/g**(1\/4)*(g**(-1\/7)*g)\/g**9 assuming g is positive.\nAnswer: g**(-207\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 277.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23608.901 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94121060 divided by 22.\nAnswer: 4278230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**4\/4 - v**3\/3 - 3*v**2\/2 - 2*v - 6. Let z be t(3). Suppose -12 = 6*d - 3*d, 2*d = x - z. Is x at most -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -638\/28525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 156, 1, -33 in descending order.\nAnswer: 156, 8, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10979, -5, 3 in descending order.\nAnswer: 10979, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -6 - ((-2390)\/(1 + 4) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9))\/((2620\/(-12))\/5). Which is the third biggest value? (a) 4 (b) j (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/4)\/d*d**(-16)*(d**1)**48 assuming d is positive.\nAnswer: d**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*z = 46, t - 3*z = -z + 10. Let c(b) = 25*b + 25. Is 21 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9805265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*p - 11 - 7 = 0, p = -5*n + 18. Let t = 222 + -220. Solve i - n = t*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 10*u - 5. Suppose 0*o = -o + 2*d + 5, 3*d - 15 = -o. Let z be l(o). Let v = 14 + 2. Calculate the greatest common factor of v and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*(-16)\/(-2912))\/(-7 - 63\/(-18))?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = b + 5*y, -100 + 108 = 3*b + 2*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 1, s: 4, w: 3, a: 2}. What is prob of picking 2 w, 1 x, and 1 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:32 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Let q = 9 - i. Solve 0 = -d - 5 + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21015 - 13869. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 2)*(2 + 1 - 4) + 3 + 3 - 7 + 0 + 1 + 0)*(-3*t**5 + 0*t**5 + t**5 + (5*t - 5*t + 3*t**2)*(-2*t**3 + t**3 - 2*t**3) - 16*t**5 - 4*t + 4*t).\nAnswer: 27*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541782 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(425) - sqrt(425) - sqrt(425)) - ((sqrt(425) - (2 + sqrt(425))) + 0) - (0 + (-5*(sqrt(425) + 1) - 1*sqrt(425)*4)))**2.\nAnswer: 960*sqrt(17) + 27344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose -g*d + 0*d = 5*x - 20, 0 = 2*x - 4*d - 32. Calculate the least common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*2)\/(sqrt(108)*-1) + 2 + -2*(sqrt(704) - (sqrt(704)*1)**2).\nAnswer: -50*sqrt(11)\/3 + 1410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129797\/25440 - (-1 - -6) and 139\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 - 5 = 0. Let b(w) = -2*w - 5 + n*w + w. Let t(d) = 2 - 3*d + 1 + d. Calculate -4*b(v) - 7*t(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 20 = 5*g. Let d be 91\/(-77) - g\/(-22). Let s be (4 + -3)\/(d - -94). Is 0 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/620333 - -354470\/620333. Factor 0 + c*u**3 - 36\/7*u + 32\/7*u**2.\nAnswer: 4*u*(u - 1)*(u + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -843 + 839. Let o = -0.07 - 0.93. What is the closest to o in 3, 2\/17, j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:11 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 15. Let o(p) = -3*p - 3. Let q be o(-5). Let k = q - 7. Solve -a + z = k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/5 (b) -0.2 (c) -2\/5 (d) -3\/2 (e) 3\/176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - z = -19 + 9, -2*n = 5*z - 34. Find l such that -2\/19*l**n - 16\/19*l - 14\/19 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y**2 + 12. Let q(o) = -10*o**2 - 11. Let i(w) = -4*k(w) - 5*q(w). What is the derivative of i(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 2\/3*r**4 - 38\/3*r**3 - 2*r - 17 + 18*r**2. Factor g(z).\nAnswer: 4*(z - 9)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**(5\/2)))\/d**(-10)*(d**(-3\/13))**41 assuming d is positive.\nAnswer: d**(105\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15*m**3 + 3*m**2 - 4*m - 10. Let w(h) = 45*h**3 + 8*h**2 - 17*h - 26. Give 8*c(k) - 3*w(k).\nAnswer: -15*k**3 + 19*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2. Suppose 5*o = 3*r - 5 - 11, -4*r - 3*o + 2 = 0. Let v = 5 - r. Let k(l) = 2*l**2 - v*l**2 - 2*l**2. Give k(y(i)).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 8*t + 32. Let z be b(9). Suppose -103 = -5*w - z. Solve 4*y - w = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 84180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 + 7*d - 49. Calculate t(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - (5 + 5)) + 47.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4278.209 - -31.891. Round u to the nearest ten.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2)\/(12\/(-36)). Which is the biggest value? (a) 4 (b) x (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -3. Let f = k + -10.0000025. What is f rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488966275?\nAnswer: 5, 7, 2794093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*10\/20*(-400)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15083 - 211075\/14. Let k = -1391\/244731 + -1\/841. Let s = k - 16583\/582. Find the common denominator of v and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 + 6*k + 0*k - k**3 + 0*k - k + 5*k**2 - 4*k in the form m*k + u*k**3 + r*k**2 + q + c*k**4 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 45*h**2 - 30*h + 164. What is the least common multiple of 6 and v(6)?\nAnswer: 4812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 372. Suppose u = 2*x - 5*j, -11 = -3*j + 1. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 + (-13 - -3) + -65 + (67 - 11).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267260 = 45*p - 68*p. Does 105 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.00186 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136 - -256. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216644 is divided by 539?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/64087722 and -15\/22952.\nAnswer: 256350888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 21320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 + 11110?\nAnswer: 11026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*w - 7, -4*w = -2246*k + 2245*k + 9. Sort -7, k, 0, 3, 6.\nAnswer: -7, 0, k, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y**4 - 3*y**4 - 9*y**4)*(20 + 37 + 17) to f*y + q*y**3 + b*y**2 + k*y**4 + p and give k.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -2*k. Let g(u) = -3*u**3 + u - 5. Let l(h) = h**3 + 1. Determine k*l(x) + g(x).\nAnswer: 2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.604726 decades?\nAnswer: 672.56712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 - 6825*m + 46580625.\nAnswer: (m - 13650)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-110)*(-9)\/(396\/10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6 - 32)\/(10\/275))\/(-1)?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from rjrrjrrj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 219, 231, 245, 261, 279?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 21*o**2 - 196. Let f(w) = -6*w**2. What is f(m(d))?\nAnswer: -10584*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 + 4*z - 2. Determine s(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172935011 rounded to 3 dps?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116642*t**3 - 287891 with respect to t.\nAnswer: -349926*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7197b9a + -4?\nAnswer: 7197b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24327000 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8605*w - 7967*w**2 + 8605*w to o + l*w**2 + p*w and give l.\nAnswer: -7967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2796 divided by 699?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 4*y**2 - 5*y + 8. Calculate v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 18. What is the greatest common divisor of 319 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 - (2 + 9) - (-1 - (-1 - -1)). Let x be -2 - -1*2 - -3. Solve x*n + 4 = r*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 + j - 1. Let c be x(-4). Suppose h = -h - 14. Is (h - -1)\/((-2)\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/25)\/(1\/5). Suppose x + a - 6 = 3*x, -t*x = 2*a + 2. Do x and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*((4*(sqrt(85) - (sqrt(85) - (sqrt(85)*2 - sqrt(85)) - sqrt(85))*-1))\/(-5*sqrt(20) - (-1*sqrt(35))\/sqrt(7)))**2 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*f*t**2 + 4*f*t + 11505*f - 670986*t**2 + 211 wrt f?\nAnswer: 7*t**2 + 4*t + 11505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331386494.\nAnswer: 2, 157, 1055371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**8\/6720 - v**7\/504 - v**6\/144 - v**5\/120 - v**4\/3 - 5*v. Let x(l) be the third derivative of i(l). Give x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/3 + 1905889*w**3\/3 - 3811781*w**2\/3 + 635297*w = 0. Calculate w.\nAnswer: -1905891, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1274 divided by 14.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/((-1)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 122, 368, 846, 1634, 2810, 4452, 6638?\nAnswer: 9446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**(2\/17)))*v\/v**(-37) assuming v is positive.\nAnswer: v**(665\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -21. Differentiate v*z**4 + 0*z**4 + 6 + 2 - 3 wrt z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/678 and 31\/12?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzjzzjzzjzzzz. What is prob of sequence zjzj?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1240808, -1240697, -1240582, -1240463?\nAnswer: -1240340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2 + 34*r + 6. Let q = 31798 - 31802. Determine m(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002314093 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.0917 minutes to nanoseconds.\nAnswer: 3545502000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1493635 (base 11) in base 14?\nAnswer: -4a61c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 252 = 6*i. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:48 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18145 (base 12) to base 2.\nAnswer: -1000011111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/10 (c) 143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 160. Suppose -3*j + 108 = 6*a - 3*a, 0 = -2*a - 4*j + 84. Calculate the least common multiple of a and c.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709610227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 7*d - 1 - 4*d + 2*d**4 + 5*d**3 - 3*d - 2*d**2 as p*d**3 + v*d**4 + h*d**2 + n*d + m and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10730, 21503, 32276, 43049, 53822?\n\"Answer: 10773*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 1\/2*f**2 + 0 + 1\/10*f**5 - 4*f + 0*f**4 - 1\/3*f**3 - 1\/30*f**6. Factor x(d).\nAnswer: -(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 8*r**2 + 3*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 - (9 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**6\/135 - 13*u**5\/90 - 55*u**4\/54 - 25*u**3\/9 + 2*u + 4. Factor n(j).\nAnswer: -2*j*(j + 3)*(j + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145179 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/1401 - 1397\/5604. Let p be (-3 - (-26)\/12) + 0. What is the nearest to j in 1\/5, p, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000100001110010010000100110 - 100?\nAnswer: 111000100001110010010000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 (base 14) in base 12?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.8 - -0.8. Let v = -26 - k. Put 1\/4, v, -1 in decreasing order.\nAnswer: 1\/4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 19 = -k + 14, 0 = -k - n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 8 = 2*l, 4*p - 10 = -5*l - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29044409, -58088818, -87133227, -116177636, -145222045?\nAnswer: -174266454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9966 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**3 - 2*t - 2. Let p(i) = 11*i**3 - 3*i - 3. Let w(f) = 2*p(f) - 3*v(f). Suppose 9*d + 20 = 5*d. Let h be (1\/1)\/(d\/(-5)). Determine w(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1728958046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1922 + 1927. Solve -25 = k*v + 7*y - 4*y, 20 = -4*v + y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17751, 17460, 17169, 16878, 16587, 16296?\n\"Answer: -291*k + 18042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-531805)\/(-188) + (-6)\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98538 divided by -2986?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6887*g**5 - g**4 + 3*g**3 + 138*g**2 - 430?\nAnswer: -413220*g**2 - 24*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10 - (135\/200 + 0).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43517, -86468, -129419, -172370, -215321, -258272?\nAnswer: -301223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85\/44 + -13\/11. Let q(s) = 4*s + 22. Let c be q(-5). Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*h + h - 18 = 0, 3*h = -4*o - 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + k**2 + 2*k + 3. Let y(c) = 6*c**2. Let s be y(1). Let a(b) = 0*b + b**2 - 16 + 2 - 2*b + s*b. Let d be a(-6). Determine v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*((-2*sqrt(171)*3*-4)**2 - 1*(sqrt(171)*1 + sqrt(171))*6)*6.\nAnswer: -8864640 + 3240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525 and 609?\nAnswer: 15225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 5*g + 6. Let y be r(2). Suppose y - 28*a**3 + 686\/9*a**5 + 490\/9*a**4 + 16\/9*a - 40\/9*a**2 = 0. What is a?\nAnswer: -1, -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 246 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/427908 and 41\/6.\nAnswer: 427908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 18558193.847 to the nearest one hundred.\nAnswer: 18558200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q - 8*q - 45. Solve 4*t = n - 5, -7 = -5*t + q*n - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 + 7 + -4)\/(-2). Let h = 2895 - 2896.4. Which is the closest to -0.1? (a) o (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q + 3*q + 5*q)*(-3 + 4 - 3)*(1012 - 2084 + 981) as r + w*q and give w.\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzrlrzgzg. Give prob of sequence zrr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (39 + 9 - -24) - -22.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1283.9 + -122.4. Round q to the nearest ten.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -818774, 2\/17, 4\/3, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-10)*(-18)\/5. Is ((-14)\/9)\/(-7) - (-3535)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) - (-132)\/(-24). Let z be v + 1 + (2 - 5). Let b = 11 + z. Solve -b*f + 45 = -4*g, 3*f + 10 = -3*g + 2*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-54))\/(2\/9)*8\/(-1872)*-2?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17.2 (b) 0.2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35389*g**3*j**2 + 4*g**3 + 8*g**2*j**2 - 45*g**2 + 5*g + 466 wrt j.\nAnswer: 70778*g**3*j + 16*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 times -27?\nAnswer: 9045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -381*g**4 + 4929*g**3 - 111*g**2 - 85839.\nAnswer: -9144*g + 29574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5\/698, 1\/6 in ascending order.\nAnswer: 5\/698, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, g: 7}. What is prob of sequence lggg?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -j + z, 5*j - z - 17 = 0. Solve -j*c = 2 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 6, r: 3, n: 5, w: 3, e: 2}. What is prob of sequence en?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 268\/(-120) - (-4)\/6 and 3\/(-4) - (-114)\/(-216).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000316769 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/3)\/((-5)\/150) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 76*m**3 - 22*m**2 + 43*m + 139. Is b(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3166, 33049, 93414, 177935, 286618, 419469?\n\"Answer: m**3 + 12069*m**2 + m - 15237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4 - 90*s**3 + 122*s**2 + 981*s - 32.\nAnswer: 24*s**2 - 540*s + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and -1.7?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1112d - 18?\nAnswer: 11115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 1 r when three letters picked without replacement from bnrkbnbnbnn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3228 is divided by 243?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -69. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 177*i - 1603. What is g(49)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 109. What is the least common multiple of 154 and k(17)?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54391646?\nAnswer: 2, 29, 43, 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*i, 11*o = 14*o - 3*i - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 q when four letters picked without replacement from hlyqlqyglglyqlqll.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -1425 (c) -3\/7 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 958\/(-8)*(19 + -10 - 173) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -730\/7 - -8268\/77. Let z = 134 + -699\/5. Calculate the common denominator of z and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*b = -0*b + 43, -27 = 5*q - 2*b. Let j(g) = -2. Let k(m) = m - 7. Let p(a) = -2*j(a) + k(a). Determine p(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/3 - n**3\/3 + n**2\/2 + 5*n. Let c = 1 - 0. What is m(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k + 21*k + 89*k**2 - 15*k**3 - 19*k**2 to the form s + a*k**3 + t*k + m*k**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 15*s - 23. Let w = -1 - -2. Let g = w - -2. Calculate the least common multiple of z(-11) and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-326)\/(-489))\/((-95)\/(-15)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 17. Calculate the remainder when 13*12*(-42)\/(-36) is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*m - 15, 2*r - 15 = 3*r + 4*m. Let l(c) = c**3 + c**2. Let p(n) = -n**3 - 2*n**2 + 2*n - 1. Determine r*p(k) + 2*l(k).\nAnswer: k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(-4 + -2*sqrt(1377) + sqrt(1377))**2 + 5*(-4*sqrt(1088)*-2)**2).\nAnswer: -1800*sqrt(17) + 1705975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/28*12\/(-10)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -3*sqrt(448))**2*1.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmmmttmugmmmumutm. What is prob of sequence gm?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 78 - 338 = 0. Let r(t) = 44*t**2 - 45*t + 33. Let n be r(1). What is the greatest common factor of n and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-39))\/(18\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2748 and -81\/10534.\nAnswer: 63204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/150 and 139\/631830.\nAnswer: 3159150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280289466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 3\/2, -2\/79?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 47\/4 of a millennium?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/18)\/(15450\/(-4635)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9828.173 - 9783.173043. Let q = 45.49 - 0.49. Let y = x - q. Round y to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -3 (c) -39770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 11 (c) 0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*u - 0*u. Let g = 3 + u. Let i(s) = s**2 + 6*s - 10. Let a be i(g). Is a < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -176. Calculate the remainder when 169 is divided by f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -8*a**5\/5 - 21*a**3 + 14*a + 1401. Find the first derivative of q(v) wrt v.\nAnswer: -32*v**3 - 126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 0.2. Let f = r + -0.5. Let l = 692 - 687. Which is the nearest to -1? (a) l (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((14 + (-17 - -5) - (3 + 2)) + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 5*t - 7*t - 17.\nAnswer: -9*t - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1735) + (26 - (34 - 16)). Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*g + 72, -8*g - 87 = -5*o - 4*g. Which is bigger: 23 or o?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w - 6. Let s(j) = -6*j - 11. Let z(g) = 11*i(g) - 6*s(g). Let k(n) be the third derivative of -n**4\/8 - 2*n**2. Give k(z(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = o. Suppose o*g + 0*g - 102 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010011 - -10?\nAnswer: -111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370348 less than -1867?\nAnswer: -1372215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 105, 158, 229, 306, 377, 430, 453, 434?\n\"Answer: -2*z**3 + 21*z**2 + 4*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/59392 and -89\/97792?\nAnswer: 11343872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 12, w: 3}. What is prob of picking 3 j and 1 w?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 0.1347\nAnswer: -7.1391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - g + 15 = 6*b, g = 2*b - 9. Suppose 5*j - b = -1. Solve 13 = -4*h + j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -23, -21, -19, -17, -15?\n\"Answer: 2*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/13, 2531, 22, 5?\nAnswer: 2531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**3\/6 + 22*l**2 + 2*l. Suppose 2*r = -21 + 21. Let c be x(r). What is the highest common factor of c and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c + 7*c + 118 + 64 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4245, 6597, 8949, 11301, 13653?\n\"Answer: 2352*v + 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-485)\/(-4074)*-27 - (8\/28 - 0)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 9*u - 20 = 0. What is the tens digit of 5\/u + 43\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 9:08 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 - -0.17. Which is the closest to -0.1? (a) 0.03 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/67)\/(5\/(-30*(-14)\/(882\/(-21))))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 419218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 108 + 105 + 102 - 315. Let c(w) = -118*w. Give k(c(f)).\nAnswer: -118*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2302288.665 to the nearest 1000.\nAnswer: -2302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-2)\/8)\/(5\/110)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-525)\/4410)\/((-15)\/(-105))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66205, -132412, -198619?\nAnswer: -264826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = 8. Let j(s) = 1849995*s + 10. Let w be j(u). What is w rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, g: 5, h: 2, o: 2}. What is prob of picking 2 o and 2 h?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -369, 18, -4, 6 in ascending order.\nAnswer: -369, -4, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*d = -129*d - 60268. Calculate the highest common divisor of 1159 and d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**6\/60 + x**5\/10 + 2*x**2 + x. Let w(j) be the first derivative of h(j). What is the third derivative of w(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039.258 rounded to the nearest ten?\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 39 = -11. Let m be 36 + v + (-6)\/(-2). Let y = m - 20. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061209 rounded to 4 decimal places?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 8:25 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -754 or 390?\nAnswer: -754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 75*a**2 + 54*a + 11. Let y(n) = -15*n**2 - 11*n - 2. Let h(p) = -11*y(p) - 2*z(p). Find the second derivative of h(r) wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24242735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -21*p + 84. Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - 9. Let t = 1\/37 - 187\/74. Calculate the common denominator of t and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 62\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) -41 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 624031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*h - 19 = -276, -5*z + h + 256 = 0. Suppose -4*b + z = 5*w, 3*w - 6*w - 5*b = -28. Solve w*s - 10 = 13*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from gynrp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6905.\nAnswer: 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -108.72\nAnswer: 1739.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 172*j - 91. Let o be q(9). Suppose 0 = -25*k - o + 58632. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (4 + -1)) + -25 + -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -71153559 * 7\nAnswer: -498074913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 + (-1)\/(1\/(-2))). Suppose 2*f + 8 - 26 = w. Suppose 3*v - 4*l = 41, f = -2*v - 5*l + 44. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 52, 5*p + 11*l - 12*l = 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/75 - (-4)\/(-6). Suppose 44 - 44 = 64*y. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961.0168l to millilitres.\nAnswer: 961016.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 5*o - 9. Let n be w(-7). Find the third derivative of -7*a**5 + 5*a**6 - 5*a**2 + 7*a**n wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 + 50 - 90) + (-5 - 3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*n - 5*h - 22*h - 189 = -1158*n, 4*n - 6*h - 6 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.38, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-13 - 13 - -11) + 8 + -54.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}