diff --git "a/data/dm_maths/full_data_2/1419_11255.jsonl" "b/data/dm_maths/full_data_2/1419_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1419_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -81*k**3\/2 + 468*k**2 - 1352*k.\nAnswer: -k*(9*k - 52)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88500655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 + -98. Suppose 3*c = 4*l + 35, 2*l = -5*c - 0 + 15. Calculate the lowest common multiple of j and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0*q - 18 = 8*d - 13*d + 19, 15*q = -d + 481 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = k - 3*k, 5*k = -3*j + 1. Let f(w) = -3*w**2 - 6. Let t(q) = 1. Let s(v) = 1. Let c(u) = -2*s(u) + t(u). Give k*f(x) + 6*c(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 2)*(v - 3*v + 3*v) + 42 - 97 - 2*v + 42.\nAnswer: -8*v - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5525706 to 3 dps.\nAnswer: -1.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476499382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-5))\/((-15)\/(-550)). Is -1 + (-27)\/(-33) - 35736\/j a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1900) + (sqrt(1900) - 6*(sqrt(1900) + 0)))**2 - -5*(sqrt(1900) - (1 + sqrt(1900) + sqrt(1900))**2)*4.\nAnswer: -121621 - 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -601, -604, -607, -610, -613, -616?\n\"Answer: -3*d - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*l + 270*l - 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzwzwkzzszz. What is prob of picking 2 w and 1 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - t)*(-77*t + 59*t + 74*t).\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-18 - -4)) + -3 - -6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2777*86375.\nAnswer: -239863375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98081 by 5.\nAnswer: -98081\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3*(0 + -30). What is the remainder when 34 is divided by (12\/n)\/((-4)\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 = 5*v, 0 = -15*b + 11*b - 16. Is (-538027)\/28*v - 4\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 5*k - 5 = 0, -4*n - 2*k = -14. Let r = 3 - n. Does 9 divide (-32)\/(-4) - 2\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015588 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + 0. Suppose -z = 9*w - 187. Solve 5*c = 4*c + 4*t + 18, 5*c - 2*t = w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3477 = 5*z - 1328, 3*w = -z + 961. Let y(p) = 80*p + 146. Let f be y(-8). Let u = f + z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 38 in decreasing order.\nAnswer: 38, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-6)*(10 - 68) and ((-11)\/(-8))\/(1\/(-9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(342)*2 + sqrt(342))*-3)\/(sqrt(729)*2 + sqrt(729)))\/((sqrt(12) + (sqrt(24)*2)\/sqrt(2))\/(-4*sqrt(96))).\nAnswer: 16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 84*r + 930. Give u(-94).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.428159921 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*21\/(-24) - -1. Let o be 0 + (14\/8 - 2). Let q be (-2 - (-34)\/18) + 0. Which is the nearest to 0.1? (a) q (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05869935 from -775.96.\nAnswer: -775.90130065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 n when three letters picked without replacement from yaqanyyyaaq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*q + 10 = 0, -3*s - 6 = -6*s - q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -310.\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by -6.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -7, 1, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 93737010.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k**3 + 6*k**2 - 24*k - 11. Suppose -5*l - 72 = 4*u, 2*l + u = 6*u - 9. Let s be c(l). Suppose 7*f - 2*f = s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*c - 0*c - o, -2*c - 4*o + 90 = 0. Let h = c - 33. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*x - 321*x - 318*x + 1283*x - 318*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700078.7us to milliseconds.\nAnswer: 700.0787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001065427 rounded to 5 dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -47*o - 218. Give r(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151356 (base 7) in base 3?\nAnswer: 1111020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*q - 88728 + 94525 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 154653821 and -0.356.\nAnswer: 154653820.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365657866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*z + 837*z + 162*z + 231*z)*(1 - 5 + 2).\nAnswer: -2304*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let c = 27401.929 - 27402. Put c, -0.1, t in ascending order.\nAnswer: -0.1, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13680 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h - 273 = -68*h. Solve -19*u - h = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.5. Let r(j) = j**3 + 4*j**2 - 20*j + 2. Let p be r(-7). Let k = -68 + 63. What is the nearest to k in p, o, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 3*g**2 + 3*g + 4. Let n be k(4). Suppose -7*d + 3*d + 6628 = n. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 1 - 1)*(-1 - 3 + 5)*(2 - 2*b - 2) + (-b - b + 3*b)*(-6*b + 3*b + 4*b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19360 = 2*m + 3*m - 75470. List the prime factors of m.\nAnswer: 2, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/2 + 1 + -3. Let y(j) = -j**2 - 3*j - 2. Let u be y(m). Is u less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**5 + 722*h**4 - 2*h**3 - 58*h**2 - 323*h.\nAnswer: 360*h**2 + 17328*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -18*b - 3. Let d be p(-1). Suppose 5*v - d - 10 = 0. Solve 5*h = -v, -5*h + 3 - 2 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqtqt. Give prob of picking 2 t and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - y**2 - 8*y**2 as a + s*y**2 + q*y and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352.364 seconds in milliseconds?\nAnswer: 1352364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -274, -558, -848, -1144?\n\"Answer: -3*l**2 - 275*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32578 divided by 2327\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (32 - (48 - 25) - (3 + 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3761585 centuries in decades?\nAnswer: 3.761585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9376 + 16164.31.\nAnswer: 16155.3724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1981*f**2 + 1\/2*f**4 + 5520*f + 3600 + 123\/2*f**3 = 0. Calculate f.\nAnswer: -60, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (84 - -86)*(494\/4 + 0) a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -c - 4*i + 112, 2*c = -5*i + 397. Let a = -0.8396 - 0.1604. Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p - 4. Let j be b(-6). Calculate the highest common divisor of j and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659 rounded to the nearest 10?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t - 1\/24*t**6 + 0*t**3 + 0*t**5 + 1\/6*t**4 + 4*t**2 + 0. Find the second derivative of u(h) wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**2 + 14*d**2 + 7 - 5*d**2 + d. Suppose -p - 14*g + 17*g - 12 = 0, 2*p = 4*g - 16. Determine f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0*m**3 + 0 + m**3 + (2*m**2 + m**2 + 0*m**2)*(-2*m + 4*m + 0*m) + 5*m**3 - 2*m**3 + 6*m**3.\nAnswer: 16*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(sqrt(1700) + -4 + sqrt(1700) + 3 + sqrt(1700) + sqrt(1700) + sqrt(1700) + sqrt(1700)) + 0))**2 + 3.\nAnswer: -4320*sqrt(17) + 2203239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 7}. What is prob of sequence kkd?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1160 + -627. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12529553 is divided by 3929.\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t**3 - 17851*t**2 + 10541089*t wrt t?\nAnswer: 48*t - 35702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o**2 + 0*o + 0*o)*(-5 + 5 - 1) - 42*o**2 - 9 + 9)*(-3*o + o + 3*o)*(23*o - 23*o - 24*o**2).\nAnswer: 984*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxx when three letters picked without replacement from xjddsssxpjjsjj?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 5 - (-2 - -1). Let d(h) = -h**3 + 3*h**2 - 1. Let f be d(v). Suppose -q = 8*y - 3*y - 486, -y = f*q - 1444. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 + 104*b**4 + 852*b**3 + 2288*b**2 + 1936*b.\nAnswer: 4*b*(b + 2)**2*(b + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 173 - 98 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 43583.4315 minutes?\nAnswer: 4.323753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(375) - sqrt(375)*-2))\/sqrt(5))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((4*(sqrt(500) + sqrt(500) + 0))**2 - (sqrt(500) + -3 + 4)))*-6.\nAnswer: -191982 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.79 - -4.79. Let c = 273 - 267. What is the closest to c in -4, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 14131.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/11)\/(24\/16*2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-4 + sqrt(190))\/sqrt(5))\/(3*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + ((-1243550)\/(-250))\/77.\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 33. Let u be i(-5). List the prime factors of (-942)\/(-3) + u\/4.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 25 (b) 1 (c) -4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26550 divided by 590\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 73 = -0*t - 3*t, -105 = -5*t - 5*a. Let m be 1*(t\/(-6) + 3). Put 5, -0.4, m in ascending order.\nAnswer: -0.4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 3*u**2 + 23*u + 111. Let p be m(-4). Let l = 1 + -1. Sort p, -4, l.\nAnswer: -4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/8 + u**2 - 246. Let v(x) = -1351*x. What is v(a(h))?\nAnswer: -4053*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 13) in base 14?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5428*f = 9025*f - 208626 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2 - 34*w + 0 - 1 + 40*w. Is n(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/4 - q**3\/3 - q**2\/2 - 8*q - 2497. What is i(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -21. Calculate the remainder when 43 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -40\/3*f**2 - 85\/3*f - 5\/3*f**3 - 50\/3 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 4*x**2 + 3*x - 6. Let s(q) = 2*q**3 - 11*q**2 - 8*q + 17. Determine -8*l(r) - 3*s(r).\nAnswer: 2*r**3 + r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:43 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3863*p**4 - 7582*p**3 - 3575*p**2 + 144*p.\nAnswer: -p*(p + 1)**2*(3863*p - 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 7*w**2 - w**2)*(-2*w**2 - 1 + 19*w - 2041*w + 4584*w).\nAnswer: 16*w**4 - 20496*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-20)\/(-40)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmmmjeemffemm. What is prob of sequence fjm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 50570052.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-8)*2\/5\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*t + 0*t + 4032*t**4 - t**2 - 4*t**3 - 4031*t**4 to x*t**4 + i*t**2 + s*t**3 + u*t + w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t - 3*p, 0 = 3*p + 6 - 21. Solve -3 = -2*c + t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-2*z**2 + 2*z**2 + z**2) + (5 - 5 - 2*z)*(257 - 257 - 73*z).\nAnswer: 147*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1739085*j**5 - 5*j**2 - 179584*j + 12 wrt j?\nAnswer: -34781700*j**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 4*c + 122. Determine a(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21464539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*z + 57*z + 105*z)*(-6 + 4 + 1) - 4*z + 2*z + z.\nAnswer: -189*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2277 + -1481. Suppose -794 = -6*n + b. Is 53 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20336 - 1403216\/69. What is the common denominator of b and ((-4)\/(-14))\/((-12)\/840*(-24)\/20)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3\/5 (c) 2 (d) 0.2 (e) -0.0865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532845?\nAnswer: 3, 5, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -3*g**2\/2 + g - 6735. Let x(r) be the second derivative of r**3\/3 + 3*r. Determine m(x(s)).\nAnswer: -6*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33320.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let l(v) = 35*v - 52 + 28 + 24. Give u(l(n)).\nAnswer: 70*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 2. Let n(d) = 5*d + 6. Let m(k) = -8*f(k) - 3*n(k). Let q be m(0). Is 21 - (-2 - (-2 - q)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -709 + 1034. Let o = u + -326. Which is smaller: o or 1\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52731898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s - 13*s**2 + (0 + 0 - s)*(-2*s + 0*s + 4*s) - s + s + s**2 + 624*s - 624*s - 46*s**2.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 - 5*j + 1. Let y(k) = -11*k**2 + 11*k - 2. Let b(o) = 9*f(o) + 4*y(o). Let n be b(4). Solve 3*p = 5*d + p + n, 4*p = -4*d + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-4 + sqrt(3) - (sqrt(243)*-1 - sqrt(243)) - (sqrt(108)*5 - 5*sqrt(243)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 407.9, 5\/4?\nAnswer: 407.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*o = 1830, -p - 11*o + 8*o = -366. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 + 4*g - 11. What is z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 33*p + 131. Let b be u(-9). Let r = 398 + b. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 7*v**2 - 6*v + 3. Let r be c(-6). Suppose -3*x + 27 = -0*x - r*a, 4*a + 24 = x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/7)*c)**(-18)\/(c\/(c*c**(-26)\/c*c))**(-41) assuming c is positive.\nAnswer: c**(7246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 1\/33271366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8496990 is divided by 272?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Let f = 116.83 - -0.17. Let h = -116.9 + f. Which is the closest to h? (a) 3 (b) -4\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b**3 - 2*b**2 + 52*b + 1. Let r(q) = -17*q**3 + 3*q**2 - 53*q - 1. What is 3*n(p) + 2*r(p)?\nAnswer: 23*p**3 + 50*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(684)*-2.\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2682.10107 - 2682. What is d rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (-12 + 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 409756 + -409756.300001. Let o = -40 + 40.3. Let s = o + x. What is s rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-260095 - 1461*r**3 + 260095)*(-3 + 0 + 1 + r) in the form n*r + g*r**3 + l*r**2 + c*r**4 + h and give c.\nAnswer: -1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36268.10107 rounded to the nearest one hundred?\nAnswer: -36300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c - 82*c - 46*c - 756 = 0 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.147 - -0.057. Let u = 2 - 5. Which is the second biggest value? (a) n (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8235763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000052078 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 - p**2)*(3 - 1 + 0) + (-2*p**2 + 2*p**2 - p**2)*(-5 + 1 + 6) - 4*p**2 + 2 - 2 + 2*p**2 - 8*p**2 + 0*p**2 + (-1 - 4*p + 1)*(2*p + 5 - 5).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvvv. Give prob of sequence vcv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**8\/336 - n**4\/6 - n**3\/3 - 3*n**2. Let t(s) be the first derivative of f(s). Find the first derivative of t(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 2*k**2 - 3*k + 4. Let g be q(-3). What is the third derivative of 2*d**2 + 3*d**4 - 4*d**4 + 2*d**4 - g*d**4 wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 6:01 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9316.7 + -9318. Put -24, -15, f in ascending order.\nAnswer: -24, -15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1135 - 797. Let g = 338.1 - f. Which is smaller: 107 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + j)*(0*j**3 - 3*j**3 + j**3) + (-5*j + 5*j - j)*(-4 - j**3 + 4) - 6*j**4 - 5*j**4 - 61*j**4.\nAnswer: -69*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.0908719 and 918161.\nAnswer: 918158.9091281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + ((-484)\/(-11))\/(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u. Let i be (-3)\/((-2 + 4)\/(-2)). Let y(r) = -r**2 + 4*r + 1. Let l be y(i). Solve -5*z + u*w = 3*w - 10, -l*z = 4*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, -8\/15, -0.5 in descending order.\nAnswer: -0.27, -0.5, -8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - 1010110?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (26 - 16) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22613, -181171, -611539, -1449623, -2831329, -4892563, -7769231, -11597239?\n\"Answer: -22651*i**3 + i**2 - 4*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.66 + -124. Let f = x + 1.4. What is the nearest to -1 in -1\/5, f, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1 + 1)\/4)\/((-3)\/(-3)). Factor 0 + 0*f - 2\/3*f**2 + 2\/3*f**4 + m*f**3.\nAnswer: 2*f**2*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59820*v + 59831*v = -44 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let z = -92 + 102. What is the fourth smallest value in b, 5, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 76377.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -522.57458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = -3*i. What is the nearest to 1 in i, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 + 172 + 1 + -1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/5)\/j))**18\/(j**12\/((j*j*j\/(j*j*j**(-4\/9)))\/j)) assuming j is positive.\nAnswer: j**(-34\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*a + 9016*f - 9017*f, -3*f = -3*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - 57. Let w be j(3). Let z be 0 - w\/(-6) - -1. Which is the smallest value? (a) 3 (b) 0.01 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 15*i**2 - 2*i - 2. Suppose 5*b = 4*f - 13, 0*f - 8 = -4*f. Calculate the remainder when 74 is divided by m(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -10.9. Let r = -10.8 + o. Which is the nearest to r? (a) -4 (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7720 divided by 105.\nAnswer: 1544\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - r**2 - r**2 - r**2. Suppose x - 3*p + 1 = 0, -p = p - 2. Let t(o) = -2*o**x + 2*o**2 + o**2 + 2*o**2. Determine c(t(m)).\nAnswer: -54*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 divided by 461?\nAnswer: 1036\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59\/4 - -15. Let k = 1.5 + -0.5. Which is the nearest to k? (a) -0.3 (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 - -161. Suppose 3*t = -4*h + y, 13*h - 38 = -3*t + 15*h. Solve 4*n - 8*n = t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13270949.\nAnswer: 19, 698471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151506 (base 7) to base 8.\nAnswer: -71336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s, -3*c - 59 - 28 = -2*s. Let h = c - -39. Suppose 4*i - h*i + 18 = 0. Solve 0 = i*p - 5*y - 5, p + 3*p - 3*y = 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m - 2)*(1 + 0 - 5)*(-3 + 1 + 1).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - 7714?\nAnswer: -76a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5446700 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -b, b - 9 + 43 = -32*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000301 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:35 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 4*f**2 - 4*f + (2*f + 0 + 0)*(3*f - f - f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37214*g**3*u*z - 2*g**3*z + g*u*z**2 - 2084*z**2 - 6*z wrt u.\nAnswer: -37214*g**3*z + g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuffuuvvffuuuuf. Give prob of sequence uv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 3, -17, -45, -81?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/4299?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1144 in 0, -0.0392, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 6. Let l be k(-1). Suppose -2*z - 3*s + 208 = 0, 2*z - l*s = -5*s + 206. List the prime factors of z.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89 - 123 + 39)*(-2 + 2 - d)*(d - d - 2*d**2 + 2*d) to the form f*d**2 + k*d**3 + o + u*d and give k.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1663557 and 74.\nAnswer: 3327114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029050856 to 5 dps.\nAnswer: -0.02905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -35\/4 (b) -4\/5 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -129\/40 - -7\/8. Let a = -1\/1349 - 147035\/8094. Calculate the common denominator of c and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 23. Let n = j + 7. What is the third smallest value in -2\/15, n, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 11579182.\nAnswer: -5\/11579182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - (-26)\/4)*(-2)\/3. Which is the fourth smallest value? (a) j (b) 0.01 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 + 230 - (-25 - 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -181380 rounded to the nearest 1000?\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 647412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1102a0 + 17?\nAnswer: 110307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -585*x + 25. Let p be h(8). Calculate the common denominator of 53\/114 and p\/1078 + (-48)\/(-22) + -2.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*i + 14, -l = -9*i + 7*i - 6. Solve -2*s + 2 = 4*x, 2*x + 0 - l = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1226989, -2453628, -3680255, -4906864, -6133449, -7360004, -8586523, -9813000?\n\"Answer: m**3 - 1226646*m - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*t = 409*t - 50. Suppose 0 = -j + 2*j. Is j < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*m**4 + 30*m**4 + 31*m**4 - 150*m**3 - 650*m**2 + 55*m**2 wrt m.\nAnswer: 24*m - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, q: 2, w: 1, m: 1, j: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 259?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -175?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 5:56 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*2*sqrt(3).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 454 and 671693?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 66.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92222188271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192.4 * 494.\nAnswer: 95045.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 7) to base 3\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 7*l**2 - 9*l - 4. What is the tens digit of c(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 17*j - 10. Let x be o(7). Suppose 0 = 6*a - 2*a - x. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258505317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q**2 + 10*q - 2 - 10*q)*(-2*q**2 + 3*q**2 + q**2) to l*q + d*q**3 + g*q**4 + z*q**2 + x and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 14*i + 3. Let t be (-4)\/5*70\/(-4). Let a be c(t). Solve -5*p - a - 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 9*w - 2. What is the units digit of f(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253.7 + -254. Let y be (1\/4)\/((-3)\/(-9)*3). Which is the closest to 0.2? (a) 1 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)*u**7)\/(u**2*u*u**(6\/11)*u*u))\/(u**9\/u*(u*u\/(u*u*u*u*u*u**(-6)*u*u))\/u*u**6*u**(-1\/3)) assuming u is positive.\nAnswer: u**(-138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8*w - 4. Suppose -5*s = 2*q - s - 2, -q + 5*s = 27. Let g be c(q). Let l = -7 - -10. Solve -g*o + 17 = 2*y + 1, l*y + 6 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 5*f**4\/12 + 136*f**2. Let z(t) = -t**2 - t. Give g(r) - 2*z(r).\nAnswer: 2*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x - 6. Let l = 8 - 5. Find the second derivative of 3*s**2 + l*s - 4*s - s**x wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b + 0*b - 13*b + (4 - 4 - 1)*(2*b + 3*b - 6*b) + 2*b - 3*b + 2*b + (1 - 2*b - 1)*(1 + 1 - 3) to the form r*b + j and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 216268764?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose -k*f + 5*t - 9 = 0, 5*f + 3*t = f + 21. Solve 12 = -4*l + 5*c, l = f*c - 8 - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 7 - 3. Let g(h) = h**3 + h**2 - h - 1. Let t(p) = -7*p**3 - 12*p**2 + 1. Let j(n) = 6*g(n) + t(n). Let m be j(-5). Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10000?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 7:40 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/22 and -73\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**3 + 2*t**2 + 2*t + 1. Let f(c) = -36*c**3 - 10*c**2 - 11*c - 5. Let l = -263 - -252. What is l*s(m) - 2*f(m)?\nAnswer: -5*m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6513620 - 6?\nAnswer: 6513611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/4, -2, -0.1, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1.3?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.03 (b) -2\/5 (c) -6\/5 (d) -0.048 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**2 - 1360*a - 1365 = 0.\nAnswer: -1, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 + p + 7)*(0 + 3 - 1) - 3*p + 3*p + 3*p)*(-5 + 4 + 4) to y + g*p and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 708.6754g?\nAnswer: 0.0007086754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*d = -5, 0 = -3*h + d - 3 + 22. Suppose f + 28 + 17 = h*c, -5 = -f. Is c not equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723.646mg in kilograms?\nAnswer: 0.005723646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8559*d**5*k + 2*d**2 + 33*d*k + 19*d + 5*k wrt d.\nAnswer: 171180*d**3*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1140*o**2 + 15319*o**2 + 14187*o**2 + 0 + 1 + 1 in the form k*o**2 + v*o + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 - h**4 + 2*h**3 + 3*h**4 + 2 in the form c*h**3 + l + p*h**2 + a*h + o*h**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 3*q. Let i be (-2 + q)\/(2\/(-4)). What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.29072 to one dp.\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -2\/75?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 13 - 222*k + 13 + 17.\nAnswer: -222*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 22*s**2 - 19*s + 20. Suppose 4*v + 0*v = 84. Let c be l(v). Suppose -2*z + 0*f - 2*f + c = 0, 0 = z - 4*f - 21. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -22*l + 44. Give v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21355, 21361, 21367, 21373?\n\"Answer: 6*b + 21349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(4860) + 2*sqrt(4860) - sqrt(60))\/((sqrt(84)*-2 + sqrt(84))\/sqrt(7)) - (sqrt(500)*2 + sqrt(500) - sqrt(10)\/sqrt(2)*-1)*-3)*1)**2.\nAnswer: 561125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (5 - 20) + -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i**3 - 9 - 7 + 17. Calculate the remainder when 33 is divided by q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -4, 4, 1, 3, -3747 in decreasing order.\nAnswer: 4, 3, 2, 1, -4, -8, -3747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 7, i: 11}. What is prob of sequence cce?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(128\/60))\/(((-3)\/1)\/((-18)\/(-36))).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 - 23*p**2 + 10*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5177?\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13221 (base 4) to base 2.\nAnswer: 111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**2*g + 158*d**2 + 2*d*g - 43366*d + 512959183*g with respect to d.\nAnswer: 10*d*g + 316*d + 2*g - 43366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2031*b**2 + 4*b**3 - 1519*b**2 + b**3 - 203537920 - 1610*b**2 + 833499*b + 941541*b.\nAnswer: 5*(b - 344)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12*w**2 + 3*w**3 - 2*w**3 + 6*w**2 + w. What are the prime factors of h(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -12.9. Let z = 5.1 - 0.1. What is the second biggest value in 0.7, s, z, -4\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 241352 and 420.\nAnswer: 25341960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -1) + (-2 - -1). Let g(r) = 2*r**2 - 34*r + 35. Let n be g(16). Suppose -2*y + n*y = -3. Put y, 1, k in ascending order.\nAnswer: k, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1382 divide 312949754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21201 + 10?\nAnswer: -21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12931203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340021 (base 5) to base 7.\nAnswer: -46440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4*6\/(-1 - -25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -266*l**3 + 77*l**2 - 77. Let j(q) = 7*q**3 - 2*q**2 + 2. What is -231*j(v) - 6*r(v)?\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -56*s**3 - s**2 - 3*s - 2. List the prime factors of k(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -676 by -169.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164980635 and 44055?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*b + 4199, 2*x - b + 2795 + 5 = 0. Let m be x\/(-21) - (-6)\/21. Let u = -30 + m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, i: 7}. What is prob of sequence xi?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100453471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6390\/13 or 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 0.11 (c) 2\/5 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kggggtwwkttwktwv. Give prob of picking 3 w and 1 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2113523 (base 6) to base 2\nAnswer: 11001001100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12900000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5252 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 + 72 = -315*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 22.3, -2\/11, 0, -186, 1\/6, -3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 14, 3 in decreasing order.\nAnswer: 14, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -126752600 divided by -1?\nAnswer: 126752600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 17, 0.3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22705 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.99 + 3. Let x = -3.4 - -2.99. Let j = d + x. Put 2, j, 4\/3 in increasing order.\nAnswer: j, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = 25. Solve 10 = -g*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = -q + 3*q, 3 = 3*o. Suppose -14 = q*s - 3*s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**8\/168 + v**7\/105 - v**6\/30 - v**5\/15 + v**4\/12 + v**3\/3 + 5*v**2. Determine k so that m(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420212 - 14?\nAnswer: -420231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -46*t + 3. Let f(d) = -23*d + 2. Let h(w) = -5*f(w) + 3*i(w). Calculate h(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(225)*1*2 - sqrt(225)))\/(-2*sqrt(605) - (sqrt(45)*2 - sqrt(5))).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -994841 + 0.24\nAnswer: -994840.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 15*w**2 - 21*w + 26. Give c(13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -2)\/(6\/66). Suppose x - 5*x + 358 = -3*c, 5*c + 10 = 0. What is the greatest common factor of x and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11300 - 1221000321?\nAnswer: -1220323021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87 - -68?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(20\/7)\/l)\/(l*l**(-2\/7)))\/((l**(-14)\/l*l)\/(l*l\/(l**(-5)*l))) assuming l is positive.\nAnswer: l**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 0 + 10 + 1 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 2*l**2 + 7*l**2 - 9*l**2 + 2*l**2. Let z(v) = -1606*v**2. Give p(z(i)).\nAnswer: -2579236*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60854913 and 7056.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1050*h + 464*h - 438*h.\nAnswer: 1076*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24414304 * -0.1\nAnswer: -2441430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**6\/900 - q**5\/100 - q**4\/30 - q**3 + 1. Let z(c) be the third derivative of v(c). Factor z(n).\nAnswer: -2*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.2582465 months?\nAnswer: 0.104853875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*v + 3321 = 0, 0 = -5*o - 2*v - 201 + 8494. List the prime factors of o.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, -1136 in decreasing order.\nAnswer: 15, 0, -1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -10\/19, 3, -0.4, -11\/72.\nAnswer: -10\/19, -0.4, -11\/72, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2785?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53521715 is divided by 2816931?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -22752?\nAnswer: 22751.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -8741962276?\nAnswer: -8741962275.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n**3 + 0 + 1\/8*n**4 - 3*n**2 + 1\/5*n**5 + 0*n. Solve r(t) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 644, 1274, 1890, 2486, 3056?\n\"Answer: -o**3 - o**2 + 640*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 45*d**3 - 4*d**2 + 2*d + 1. Let n be o(1). Suppose n = z - 61. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*f**4*s - 32*f**2*r**2 - 9*f**2*r*s - 3*f*r**2*s - 244*f*r*s - f*s wrt f.\nAnswer: 420*f**2*s - 64*r**2 - 18*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1226, -7842, -25808, -60800, -118494, -204566, -324692?\n\"Answer: -946*w**3 + w**2 + 3*w - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 38 + 34 = 0. Calculate the smallest common multiple of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43193\/136353 + 48\/151. What is the biggest value in a, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -404?\nAnswer: -9\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - 1220\/385. Let x = p - -71\/22. Is x > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022399 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.77 and 0.04.\nAnswer: 0.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + 57*q**2 + 71*q - 389. Give j(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 438187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-156)\/130)\/(1\/(-35)). What is the greatest common factor of w and 3486?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -711260 divided by -177815\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52171 and 3855?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 + -6) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 189232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-70)\/5)\/((-12 - -3) + 11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(105\/(-42)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -696, -698, -700, -702?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 6*l = w - 7703, w - 3849 = -l. Is 47 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3348750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*m**2 + 544*m**2 + 420*m**2 + 60*m**2.\nAnswer: 1152*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -321, -642, -963, -1284?\n\"Answer: -321*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8057?\nAnswer: 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, 1 = p + a + 3. Let h = 1 - 1. Let x = h - p. Solve x*z = 4*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.83999nm to centimeters.\nAnswer: 0.000002383999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1041*f**3*l*y**2 + 7660*f**3*y**2 + 5*f**2*l*y - 157491*f**2*l - 5*y**2 wrt f.\nAnswer: 6246*l*y**2 + 45960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 2*a**2 - 1. Let h be r(-1). Find w, given that -4*w**h - 2*w**5 + 56*w**2 - 56*w**2 - 6*w**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55097 is divided by 4837.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34275*h - 34214*h - 244 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 - 25\/(-20). Suppose -3*a - 1 = -4. Solve p - a = -g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/30 - j**4\/4 + j**3\/2 - 5*j**2 + 3*j. Let d = 8 - 5. Let a(x) = -x**2 - 5*x + 2. Give d*y(n) - 4*a(n).\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28455 by 1.\nAnswer: 28455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2)*6)**2 + sqrt(20)\/sqrt(10)*5 + (6*sqrt(20)*-2)\/((2*sqrt(100))\/sqrt(10)).\nAnswer: -sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 10*k - 6. Let d(h) = -1. Let y(c) = -b(c) + 5*d(c). Determine y(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9270.35 rounded to 0 decimal places?\nAnswer: -9270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 53 = -5*m, 0*k + 26 = 2*k - m. Suppose 0 = k*z - z. Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -c - f + 13, 2*c = 5*f - 29 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8) + (-1088)\/256?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 0.43?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 14*m - 11*m**2 - 14*m in the form d*m + f*m**2 + o and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*r**5 - 578*r**3 - 7681*r + 9.\nAnswer: 740*r**3 - 3468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/10 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 - 12385*f**2 + 14*f + 3093492.\nAnswer: -6*f**2 - 24770*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + -13?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*h + 2 = 0, k + 3*h - 1 = 13. Let r = 3 + k. Solve -2*i - r = -11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 35*l. Suppose -5*d + 4 - 19 = 0. Let f(u) = -11*u**2 - 8*u + 8. Let t(n) = 4*n**2 + 3*n - 3. Let z(v) = d*f(v) - 8*t(v). Determine c(z(w)).\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {k: 2, j: 1, b: 11}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40053*d*i*u - 10*d*u - 12342*d - 320*i + u + 19 wrt i?\nAnswer: 40053*d*u - 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5602 and 18.782801.\nAnswer: -5583.217199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52426 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32091600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 12 - -9)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/11 (b) 0.05 (c) 0.6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-54))\/((-4)\/12)*75\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/10368*-736*(30\/18 - (-2 + 1))?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*a**2 - 503*a**2 + 30*a**2.\nAnswer: -399*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 7*o**2 + 3*o + 23. Let b be y(6). Suppose -b*u + 15 = -0. Sort u, 0, 2.\nAnswer: 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7486775.\nAnswer: 5, 299471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-404)\/(-3434))\/((-3)\/(-18768)*8).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + y = -43, 2*d + 2*y - 34 = 8. Suppose 2 = 6*f - d. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 4)*(393*j + 1235*j - 316*j) in the form n*j + i and give n.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 - -7 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z**2 - 24*z**3 + z + 24840 - 10*z**3 - 24840 as p*z**3 + t*z**2 + h*z + j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j + 4*d, -4*j - j - 3*d = -31. Suppose 281 - 280 = i - 0*i. Solve -5*u - 4*k - 24 = 0, 5*k + j = -u - i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.932 to 1 decimal place.\nAnswer: 146.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 50 - 33)*(-2*h**2 + 2*h**2 + 4*h**4)*(3 - 3 + 3).\nAnswer: 960*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2239\/3 - 747. Let a = -0.2 - 0.8. Let t(v) = -v**2 + 2*v + 2. Let x be t(0). What is the smallest value in a, x, u, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = f, -o - 14 = -5*f + 3*o. Suppose 2*l = 4*a - 2616, 5*a = 4*a + l + 656. What is the second derivative of -a*u**2 - u**3 + 652*u**f + 6*u wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228 - -425. Suppose 2*m + 47 = a. Calculate the remainder when m is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229818 is divided by 76469?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/5075 and 39\/1450?\nAnswer: 10150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)\/y**(3\/4))\/((y*(y**5*y)\/y)\/y**7) assuming y is positive.\nAnswer: y**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/5 + 3312*p**4\/5 + 17463*p**3 + 84006*p**2\/5 = 0. What is p?\nAnswer: -1077, -26, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (85\/20)\/(561\/(-1496)*(-2)\/(-6))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/((p*p**(7\/5))\/p)*p**(2\/9))**(-10\/7))**46)**8 assuming p is positive.\nAnswer: p**(-27232\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -126. Let x = 26.04 - o. Let d = x - -29. What is d rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 1 + -2 + 154\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16946?\nAnswer: 2, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 1038044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3977.\nAnswer: 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(4356)*-4)\/((sqrt(768) + sqrt(768)*1)*-4*6).\nAnswer: 11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 161*y + 90. Let r(i) = 81*i + 45. Let d(n) = -4*b(n) + 7*r(n). What is the derivative of d(w) wrt w?\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*-4*(5 + sqrt(2736) + (sqrt(2736)*2 - sqrt(2736)) + (sqrt(2736) - ((-2*sqrt(2736) - sqrt(2736)) + 5))))**2.\nAnswer: 10368*sqrt(19) + 56733705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + 12 + 100885\/(-33625). Are k and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-4) - 6\/8. Let t = l + 6. Solve 23 = -4*z - 3*u, 2*z - u + 7 = t*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4. Let k = -2381 + 2381. Calculate i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270971 or -270969?\nAnswer: -270969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 0 + 601 + -592 - 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -2111001?\nAnswer: -2110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -418 (base 15) to base 14.\nAnswer: -49d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98, 412, 944, 1700, 2686, 3908?\n\"Answer: g**3 + 103*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -77.1, -5, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 257 = -4*j + 300, 0*c - 2*c + 13*j = -3*c + 61 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*u - 18. Suppose 5*p + 29 = g, -5*p - u*g - 16 = 18. Let a = p - -8. Solve 0 = a*w - 6*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {e: 8, x: 8, w: 2}?\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7622, -29 in descending order.\nAnswer: 7622, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -620102284*w**3 - 425716397 wrt w.\nAnswer: -1860306852*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 14. Let q(t) = 112*t - 224. Let u(c) = 4*q(c) + 63*y(c). Let i(z) = 2*z - 5. Let w(f) = -17*i(f) + 6*u(f). Give w(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34386 divided by 11.\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - 2*x + 43, 0 = 2*z + 2*x - 90. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/8)\/h*h**12*h**8*h*h*h**(12\/5)*h*h*h assuming h is positive.\nAnswer: h**(1051\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 15*d**2 + 135*d + 16. Let u be k(16). What is u rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.075 + -5657.008424.\nAnswer: -5657.083424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496\/22568 - 128\/(-4368).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -98, 0.2.\nAnswer: -98, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 2310290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219457 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183.8 - -171. Let m = 13.8 + k. What is the closest to m in -3\/2, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 + 4*p + 21. Is f(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 16*m + 67. Let d be q(-9). Let r(x) = 4*x**3 - 5*x**2 + 8*x - 14. List the prime factors of r(d).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21816?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*w + 23, 15 = r + 5*w - 8. Suppose 22 = 5*q - 3*u, 2*u + 4 = -3*q + 2. Suppose 3*k - r = q*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70144.01 micrograms in kilograms?\nAnswer: 0.00007014401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/2 - -4. Let r = -0.49 - 5.51. Let y = -21\/25 - -6\/25. Which is the closest to d? (a) -1\/5 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31428\/(-13968)*(-46)\/3.\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141048 and 52893?\nAnswer: 423144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12381386, -4, 9 in descending order.\nAnswer: 12381386, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkkkkkkkkky. Give prob of picking 4 k.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5376\/1416 - (5 - (-2)\/(-2)) and 119\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 429? (a) -5 (b) 0.08 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 419*i + 21. Calculate the remainder when m(5) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447029392?\nAnswer: 2, 17, 631, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1312, -1442, -1570, -1696?\n\"Answer: b**2 - 133*b - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-8)\/z))\/(z*z**(-2\/21)\/z))\/(z\/z**(2\/3))**27 assuming z is positive.\nAnswer: z**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 3*o**2 - o + 1. Calculate z(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 134514455?\nAnswer: -134514455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*z - 42 = -2*z, -z + 10 = f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*20*4\/8. Let z be (8\/14)\/(y\/(-21)). Which is the smallest value? (a) -2 (b) z (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0838 - -0.4838. Put 0.064, 0.5, t, -3 in decreasing order.\nAnswer: 0.5, t, 0.064, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 + 0.015?\nAnswer: 365.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 94?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 20*z - 9 in the form p*z + m and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 j, and 1 h when four letters picked without replacement from {o: 2, j: 1, l: 1, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455176 and 44?\nAnswer: 5006936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + (2 - 2) - -588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 227.2695637?\nAnswer: -226.8695637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 6605211 = -1871872. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Let p = -5070 + 15211\/3. Which is the biggest value? (a) 4 (b) t (c) p (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*x - 946 - 6672 = 5150 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 119, 138, 183, 266, 399, 594, 863?\n\"Answer: 2*p**3 + p**2 + 2*p + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -68.9, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:43 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3973 + -0.4773. Which is the closest to 0.1? (a) 1\/11 (b) t (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/9*-1)\/((-99)\/(-297))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*(-1)\/4*2. Let r be (-1)\/(-2) + 9\/k. Solve 0 = 3*a + 2*b - r, 3*a - 2 = -b - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k - 4. Let m be o(-6). Suppose 0*r + m = 2*r. Suppose 3*i - 5 = r. Solve -3*u + i = -12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011427 to 6 dps.\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y**2 - 28 - 65*y - y**3 - 30*y - 30 - 14*y**2. Let k be b(-31). Solve k*u = 3*v + 15, -u = -0*u - 5*v - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5784183m in kilometers?\nAnswer: 0.0005784183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14445)\/(-11235) + (-318)\/(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15256 take away 4?\nAnswer: -15260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Let z = 1.5 - v. Which is the smallest value? (a) z (b) 0.2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145152*w + 4524*w**3 + 102463 - 27487 + 3*w**5 + 3*w**5 - 3*w**5 - 207*w**4 + 90912 - 25056*w**2.\nAnswer: 3*(w - 24)**3*(w - 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 11:17 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2170 and -67\/84.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b - 4 = 0. Let p(c) = c**3 - 8*c**2 + 5*c + 9. Let f be p(7). Put f, 1, b in ascending order.\nAnswer: f, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, 110, 3\/8, -4, -0.03 in increasing order.\nAnswer: -4, -1, -0.4, -0.03, 3\/8, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -19, -20, -21, -22?\n\"Answer: -n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 7*j**2 + j - 1. Suppose 0 - 15 = -w - 2*l, 4*l = 4*w. Suppose -w*z - 64 = 51. Let n = 30 + z. Give f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10326, 10327, 10330, 10335, 10342, 10351, 10362?\n\"Answer: u**2 - 2*u + 10327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/45)\/(2\/2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 4:49 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32140 (base 5) to base 6.\nAnswer: 14014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 13 = 4*n - 21, 0 = -2*n + z + 7. Let c(j) = 5*j. Let x be c(n). Differentiate 50*s**4 + 3 - 61*s**4 - x with respect to s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 20. What is the remainder when (394\/16 - -2) + (12 - (-744)\/(-64)) is divided by 2 + (-4)\/(w\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h + 12. Let o(f) = f + 1. Let g(d) = -4*o(d) + r(d). Calculate g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2. Let y be d(-2). Let z be y\/(-3) + (-6)\/(-9). Suppose z*m + 4*m = 148. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j - 3*j)*(-3*j + 3*j + 2*j) + 4*j**2 - 5*j + 5*j - 2*j**2 + j**2 + 0*j**2 + (2*j - 4*j + 4*j)*(-2 + 2*j + 2) + 3*j**2 - 6*j**2 + 4*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 11349660 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.3 - -0.3. Let z = d + 8.5. Let a be 2 - 6*12\/38. Put z, a, -3 in decreasing order.\nAnswer: z, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -46, -82, -118, -154?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 73*l + 469. Let h be w(-6). What is the smallest value in 3, h, 32?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51*(-2)\/12*24\/(-16)*-1?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42952501, 42952499, 42952497?\n\"Answer: -2*j + 42952503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + (-410)\/14. Let r = 79 + w. Calculate the remainder when r is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39410 = -554*u + 63*u - 1547*u - 74718 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30624 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51988.\nAnswer: 2, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.4 - 30.7. Let r = 9 + q. Let v = -2 + 1.8. What is the nearest to 1\/6 in 2\/21, v, r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302084519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35281 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1778*b**2*d + 28*b**2*j - 7*b*d*j - b*d + b*j wrt j.\nAnswer: 28*b**2 - 7*b*d + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**4 - 2*x**2 - 4*x**3 + 0*x - x + 7*x**3 - 5*x**3 as g + i*x**3 + h*x + m*x**2 + y*x**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 34 = 4*d, 3*h - 13 = 3*d + 29. Let c = h + -11. Suppose c*i - 3*k - 83 = 2*k, 2*k = 3*i - 64. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*y**2 + 33*y - 29*y + 46*y wrt y?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3 = -a, 0 = -4*x - 139*a + 142*a - 31 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 10:16 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057440621 rounded to five dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -22323*o**2. Let j(i) = -3*i**2. What is b(j(t))?\nAnswer: -200907*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3803 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0292959 and -1358298.\nAnswer: -1358297.9707041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5) + 9 + 60\/(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/7)*(y*y*y**(-11)*y)\/y*(y**(-3\/4))**(-22) assuming y is positive.\nAnswer: y**(93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100100 (base 2) to base 9.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:27 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11750*d**4 + 7401?\nAnswer: 47000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 267 - 59. Let u be (g + -12)*(2 + 1 - 0). Suppose 453 = 5*p - u*w, 2*w + 2*w + 454 = 5*p. 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: 12673*2.1\nAnswer: 26613.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - -18. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 306 and 0.7?\nAnswer: 305.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(12 - (-5 + 7)). Calculate the highest common divisor of k and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79394 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - -a?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 93 = 8*x. Let i(p) = p**2 - 10*p + 5. Give i(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194 or 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 5*q + 19 = -2*s, 3*s = q. Solve -k - 1 = s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/1*(-3)\/(-5). Let m(j) = -j**2 - 5*j - 4. Let b be m(-3). Let f(p) = -b - 5*p + p + a*p. Calculate f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14555861255.500000035 - 14555861287. Let j = r - -31.5. Round j to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1987 + 156 = 38*j - 365. What is the greatest common divisor of 4356 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*k**5 + 5\/3*k**3 + 0 - 2\/3*k**2 + 0*k - 4\/3*k**4.\nAnswer: k**2*(k - 2)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17035*k. Let y(x) = -x. Determine y(w(o)).\nAnswer: -17035*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2299 or -3\/8?\nAnswer: 2299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/3))**(-16\/5)\/(h**(-15)\/h**13) assuming h is positive.\nAnswer: h**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.101 rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 33 = -3*n, -338 = -9*c + 5*n - 63. What is the highest common factor of 9780 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6800*i**3 - 3*i. Let k be u(5). Suppose 0 = 2*n + 4*r + 1700020, 3*r = n - 0*r + k. Round n to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 0.7. Which is the second smallest value? (a) 0.3 (b) p (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3331011, -6662043, -9993075, -13324107?\nAnswer: -16655139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3c3 (base 14) to base 9\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = -5, -2*p = 5*q - 290. Suppose 7*y = 9*y + q. Let v be 2\/(y\/201) + (-15)\/25. Sort 0, -5, v in increasing order.\nAnswer: v, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 53, 87, 125, 167, 213, 263?\n\"Answer: 2*x**2 + 24*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836330791?\nAnswer: 836330791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27258017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20611 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*-5*(5 + sqrt(1331) + 4 - (sqrt(1331)*2 + sqrt(1331))*-3)*-1)**2.\nAnswer: 16038000*sqrt(11) + 1078766100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58836 in -12\/11, 5, 10?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3cc + 4?\nAnswer: 3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310 + 313. Solve -3*v + 18 = -3*d, c*d + 5*v = -d + 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061 is divided by 1971?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22 - 50\/330?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = f - 375, -t = -2 - 1. Suppose 3*y + 2*i - f = -y, 464 = 5*y - i. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.047 and -0.1.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5d86 (base 14) to base 5\nAnswer: -1011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -5.5\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 551 - 560. Put 0.5, h, -3, 2\/11 in ascending order.\nAnswer: h, -3, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is the lowest common multiple of 235326 and 390?\nAnswer: 1176630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 2. Suppose -18*u + 16 = -14*u. Put c, u, 2 in descending order.\nAnswer: u, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/14 (b) -0.4 (c) 1\/24 (d) -1 (e) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 1, x: 2, q: 1, f: 2}. What is prob of picking 1 f and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15)*u\/(u**(2\/15)*u))\/(((u*u*u\/u**(-8\/5))\/u)\/u**(2\/3)) assuming u is positive.\nAnswer: u**(-271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u. Let n be (14\/6)\/(9\/27). Suppose -12*s + n*s + 30 = 0. Let w(a) = -6*a - 6*a + s*a - 4*a. Calculate w(g(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - t**2 - 600*t - 3080. Determine g(-5).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 312*f + 318. Calculate the remainder when 552 is divided by y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 14*i - 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaa when three letters picked without replacement from snasarerarrerr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkuk when four letters picked without replacement from kkkukku?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**3 + 0*c**5 + 0*c**4 - 1\/24*c**6 + 0*c - 4*c**2 + 0. Differentiate h(w) with respect to w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*u = -51*u + 440 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1061425.0479?\nAnswer: -1061424.0479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x - 4. Let w be v(-5). Let j = 13 - 10. Suppose 0 = -j*f + 2*u + 59, 4*f - f - 5*u - 62 = 0. Calculate the highest common factor of f and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.31 + -0.19. Let m = d - -5.5. Let v(b) = b**3 - 12*b**2 + b - 10. Let g be v(12). What is the nearest to m in -11, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**2 - 80*f + 804. Let u = 18 - 7. Let o(k) = 28*k**2 - 240*k + 2411. Let q(w) = u*t(w) - 4*o(w). Find i such that q(i) = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 95*a**3 - 94*a**3 + a + 236 - 2*a + a**2 - 243. Suppose -d - d + 13 = 3*i, -3*i - 3*d = -12. Calculate the smallest common multiple of 12 and x(i).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9503458*v**3*w + 6031*w - 406 wrt v.\nAnswer: -28510374*v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212736 is divided by 954.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10801, 43202, 97211, 172828, 270053, 388886, 529327?\nAnswer: 691376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11772 and 14792608?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 81*z. Let i(n) = -n - 2. Let c(r) = -2*r + 12. Let a(k) = c(k) + 8*i(k). Calculate a(g(h)).\nAnswer: -810*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11940 + 11939.6. What is the smallest value in r, 0, 56, 2\/17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 137*d**2 - 2514*d - 37. Determine q(-15).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/3 - -3 - 28\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pskk when four letters picked without replacement from {s: 1, o: 1, k: 3, p: 4, c: 2, i: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**45*u**(2\/27)\/((u*u**(-1\/23)*u*u)\/u) assuming u is positive.\nAnswer: u**(-64073\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 24505549120 - 24505549120.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-92)\/20 - -5)\/(1\/(-5)). Let y(z) = 3*z**2 - 5*z - 5. Calculate the remainder when y(g) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -40 - (-23 + 0) - -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2418546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 33*x - 61. What is the remainder when u(20) is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3652822 is divided by 1257?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 67022 and 6.5.\nAnswer: 67028.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*f - 1420*f + f**3 + 61*f**2 + 2198*f - 2*f**3.\nAnswer: -f**3 + 61*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 104\/14 - (1 + 3). Factor -l*w**3 - 2\/7 + 8\/7*w - 18\/7*w**4 + 4\/7*w**2.\nAnswer: -2*(w + 1)**2*(3*w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 3*f + 4*f + f - 4*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 - 150.16. What is the smallest value in 0.2, k, -2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-21)*12\/(-20))\/(88\/6776)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + x**2 - 2*x**2 - 4*x**2. Suppose 0 = 5*t - 15. Let p(c) = -5*c**2 + t*c**2 - 3*c**2. Determine b(p(h)).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*q = -3*k - 44, 2*k = -4*q + 36. Let f be (k\/2)\/(-1 + 2). Suppose -2*p - 5*l - 3 = 1, 0 = -3*p - 3*l + 3. Solve h + f = p*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-23)\/((-2)\/(-2)). Suppose 3*g - 1 = 14. Suppose -w + g*t = y, 5*t - 15 = 2*t. Solve -w*o + v = o - 10, 37 = 4*o + 5*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 6*u**3 + 4*u**2 + (-3*u + 3*u + 5*u**2)*(0*u + 4*u + 0*u).\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 107.66893, 10, 5 in ascending order.\nAnswer: 4, 5, 10, 107.66893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (-2*sqrt(152) + sqrt(152))*-5)\/(2*(sqrt(8) + (sqrt(8) - (sqrt(8) - sqrt(128)) - sqrt(8)))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:09 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times -3541529?\nAnswer: 4603987.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (223 - 117) - 51.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 2 (b) 2\/9 (c) 10533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x\/((x*x**(2\/11))\/x))**(-6) assuming x is positive.\nAnswer: x**(-582\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7555 - 7555.3. Which is the fifth biggest value? (a) -961 (b) z (c) 0.2 (d) 2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**6\/6 + 2*b**5\/5 + 3*b**4\/4 - 8*b**3\/3 + 2*b**2 - 16. Find j such that o(j) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ttdttdtdttd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 2 - 4) + -1 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11126*h - 22344*h + 12108*h.\nAnswer: 890*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-14) + (9963\/(-126))\/27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p = -4*q + 2*q + 188, -206*p + 4*q - 21 = -211*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/21 and -35\/5472?\nAnswer: 38304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4\/7, 33, -0.5818, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 + -1 - -2). Let u be (0\/(-1))\/((36\/(-6))\/(-6)). Suppose a = 3*d - 5*y - 57, -4*y = -u*y. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52126492 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*w**2 + 5*w**3 + 125*w**2 - 56*w + 118*w.\nAnswer: 5*w**3 + 62*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -77837 = -77848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(2420) + sqrt(2420))**2 + (sqrt(20) - (sqrt(20) + sqrt(80)\/sqrt(4))*-5)**2 + (sqrt(30) + sqrt(1920)*2)\/(4*sqrt(294)).\nAnswer: 17*sqrt(5)\/28 + 12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -o + 21*t - 24*t, -3*o + 4*t = 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9) + 3 + -26 + 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/7, 129\/13, 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010000110110 (base 2) to base 13.\nAnswer: 16199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 25, -13, -47, -77, -103, -125?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - sqrt(95)*-2*6)\/(4*sqrt(45)).\nAnswer: 13*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12683 + -12681.4973. What is z rounded to 2 dps?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 12:45 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - -3*sqrt(2450))\/sqrt(10) + -1)**2 - 1*(sqrt(405) + -1)*-1.\nAnswer: -35*sqrt(5) + 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14063, 28125, 42187, 56249, 70311, 84373?\nAnswer: 98435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 12 (c) 0 (d) 5 (e) -0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**5\/120 - a**4\/12 - 2*a**3 - 1. Let q(v) be the third derivative of l(v). Determine q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -2*q + 243. Suppose 0 = 2*b + 17 - q. Solve 4*u + 17 = 3*j, -b*u - j - 15 = 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ee735 (base 16) to base 14\nAnswer: -d72a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5447 (base 9) in base 3?\nAnswer: -12111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 14095790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 11. Let h be m(-11). Suppose 100 = 5*j - 5*a, h = -2*j + 7*j - 3*a - 98. Suppose -4*f + 3 = -f, -j = -u + 4*f. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10824*d + 2*d**2 + 10824*d. Let l(w) = 2*w**2 - 8 + 8. Determine l(s(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 2*p**6 + 8*p**5 + 12*p**4 + 8*p**3 + 2*p**2 - 106. Factor i(y).\nAnswer: 4*y*(y + 1)**3*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576718501 to the nearest integer?\nAnswer: 24015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*k**3 + 197*k**3 - 99*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, -3*j = x - 2*x. Suppose w - 2*w + 84 = x. Suppose -a - 3*a + w = 0. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkqrdrdgrgrkkdkrrk. Give prob of sequence kr.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225806888?\nAnswer: 2, 227, 124343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2857 + 2882. Calculate the highest common factor of 2725 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 287504131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359*d**3*q**3 - d**2*q**2 - 574*q**3 wrt d.\nAnswer: 2154*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 38. Calculate l(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 1011063729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44449913 divided by 1.\nAnswer: -44449913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1152)*-1 + (sqrt(32) - (sqrt(32) + 5*sqrt(512) + sqrt(32))))**2 + -4*5*(sqrt(32) + 2)**2.\nAnswer: -320*sqrt(2) + 22607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171163696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -1418, -4784, -11338, -22142, -38258, -60748, -90674?\nAnswer: -129098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 10*b + 1277. What is t(29)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 768494017 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 1040436.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 - 4*r - 1. Let q be v(-4). Let t be ((-8)\/3 + 3)*q. Which is the second smallest value? (a) 4 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*h - 28, 2*h = s + 4*h - 15. Let m = s + 3. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 56 = w, 3*i + 0*i - 156 = -2*w. Suppose d = -3*d - w. Find the common denominator of (d\/27)\/(4\/(-189)) and 93\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**3 - 12*f**2 + 40*f - 69. Let g be k(4). Is 5438\/9 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 11*k - 6*k + 3*u, k - 15 = 4*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away -521.31?\nAnswer: 521.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/(-5) + 16 + -21. Let s be (0 - 165\/(-2))\/2. Let i = s + -41. What is the closest to -0.1 in f, i, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ttttetttttetetttttte?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 15*u + 13. What is the remainder when 287 is divided by y(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35172 + -4115. Suppose -2*x + 12430 = -4*g, -5*x = -4*g + 3*g - m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.6. Let q = -0.1474 + -528.3526. Let d = q + 529. Which is the closest to 0.1? (a) l (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o - 2*o)*(-4 + 3 + 0)*(21 + 10 - 11).\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87.48 - 89.48. Which is the nearest to f? (a) 0.5 (b) 1\/20 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9589 divided by 43\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1100 divided by 275\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b. Let h be (-2)\/(2*1\/(-5)). Let u be x(h). Let d = u + 8. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1097173400 to the nearest 100000.\nAnswer: -1097200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -32*c - 60726. Let z(n) = -2*n**2. Give q(z(r)).\nAnswer: 64*r**2 - 60726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 24 = -6*s + 96 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54542\/7 - -7651. Let y = d + 141. Let g = -284 - -285. Which is the third smallest value? (a) -0.1 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-38)*2)\/((-2076)\/59166).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 592*o - 475*o)*(1 - 5 - 1)*(3 - 1 - 1).\nAnswer: -585*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 18. Suppose -r*f + 4*z + 1813 = 2*f, -5*z + 15 = 0. Suppose -5*m = -f - 1220. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013579 rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001462 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1\/((-1)\/2). Suppose -p*l = -1 + 9. Let u(v) = -v**3 - v**2 + v - 3. Is u(l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9112565696 + -1?\nAnswer: -9112565697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3416?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 718960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1222555 and -113\/60560.\nAnswer: 19560880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10101398173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 7*f**2 + 16*f**4 + 6*f**4)*(8*f - 471*f - 228*f + 82*f).\nAnswer: -13398*f**5 + 1827*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 + 26)\/((-208)\/78) and 83\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/360 - i**5\/10 - i**4\/3 - 8*i**2. Let m(k) be the second derivative of n(k). Let y be m(5). Round y to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 divided by -2?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -b6b93?\nAnswer: -b6b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*j + 7. Let t(s) be the third derivative of s**5\/60 - s**4\/6 + s**3\/2 + s**2. Let x be t(j). Solve 6 = x*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 746, -19, 6\/11, -3, 0.5, 3\/23, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 15. Let h be m(-3). Suppose 5*z + 3*l - 476 = h, 3*z + 88 = 4*z + 3*l. List the prime factors of z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - a + 7*a + 1 - 15*a**2 - 17*a + 0*a to y*a + f*a**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12482962*p**2 - 42980253 wrt p?\nAnswer: -24965924*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -656 + 330 - 5*r + 327 + (0 + 0 + r)*(2 + 2 - 5) - 3844 + 3844 + 34*r.\nAnswer: 28*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5576605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by 4?\nAnswer: 177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w - 1. Suppose 4*f + 0*r = -r - 4, 0 = 3*r + 12. Let i be x(f). List the prime factors of 1\/(-2)*-28 - i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -28*f + 25. What is the units digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**3 - 5*x**2 - 5*x + 1194. Let w(l) = 8*l**3 + 3*l**2 + 3*l - 596. Give 3*o(m) + 5*w(m).\nAnswer: m**3 + 602","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 366 + -366.44. Let k = f - -0.440000608. What is k rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13. Let w(u) = -2890*u - 1008. Let n(q) = -v(q) - w(q). What is the derivative of n(k) wrt k?\nAnswer: 2890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-36)*39\/(-65)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 3 - -1*(-3 + -4). Is (l - 1060)*(-1)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(24)\/(sqrt(4) + (sqrt(4) - sqrt(8)\/sqrt(2))*-2))\/(2*(sqrt(2) - sqrt(22)\/(2*sqrt(11)))))**2.\nAnswer: -72 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(1\/11)*n*n))\/n**(2\/5))**(-4\/5) assuming n is positive.\nAnswer: n**(328\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56245.\nAnswer: 5, 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - 11*j - 11. Let v be z(-6). Suppose -v*b = -233*b - 70. What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = 3*z - 37, -130 = -5*g + 5*z. Suppose 0 = -4*u + 3*d - 3 - 0, 3*u - 34 = -5*d. Solve -2*q = n + u*q - g, n = 3*q - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 22*d + 15. Let v be n(-11). What is the remainder when 648\/v - 8\/30*-3 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -0.001, 2, -0.1 in increasing order.\nAnswer: -30, -0.1, -0.001, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(20\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3)*(-3)\/2. Let p(u) = -u**2 - 3*u - 2. Let r be p(a). Let l(t) = -t**3 - 2*t**2 - 2*t - 1. What are the prime factors of l(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, q: 6, e: 4}. What is prob of picking 2 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3 - 6. Let b = o + -3. Let d(v) = -v**3 + v + 1. Let u be d(b). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22491, -44981, -67471, -89961?\n\"Answer: -22490*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134 + -2?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116601479 rounded to 4 dps?\nAnswer: 0.1166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(88)\/sqrt(4))\/sqrt(11))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 583630 and 2560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b**3 + 1449945 - 1449945 - 3*b.\nAnswer: -51*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14527 - -493899\/34. Find the common denominator of 12\/(-42) - (-418)\/336 and s.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/1141 and -36\/7.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*m + 9. Let p = m - 8. Suppose 0 = p*x + c, 0 = -3*x - 0*x + 2*c + 11. Which is smaller: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-1561.\nAnswer: -37464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -g - 4*g + 5970, -g = 4*m - 1204. Let d be 16\/12*(-6)\/(-4) + 3. Suppose -d*h + g + 59 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 39 - -175) + -5 + -1 - -6.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428 - -998. Let t = k - 544. Suppose -3*a = 2*a + 5*n - 655, -a = -3*n - 123. What is the remainder when a is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 18*v + 183. Let k be n(-10). Which is the nearest to -1\/2? (a) k (b) -7\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-815)\/(-15) - 16 - 37.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.072, -1, 4\/7, -25, -0.08 in ascending order.\nAnswer: -25, -1, -0.08, -0.072, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*g = 5103 - 1359 + 3426 - 40 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169987168242\/3241 - -52448988. Let u = d - 2\/463. Let f be 3\/(-38)*28\/(-21). What is the closest to f in 0.5, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14. Let v(j) be the third derivative of 1\/168*j**7 + 3\/80*j**5 - 1\/40*j**6 + 0*j**3 - 1\/48*j**4 + z + j**2 + 0*j. Determine x so that v(x) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + (-1914)\/90 - 12\/(-20) and -179\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 804 - 799. Solve 2*u + 0*u + 2*o - 2 = 0, 2*u = -o + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7918*j = -7258*j + 2640 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 28. Let h(z) = z**3 - 10*z**2 + 18*z - 3. Calculate the remainder when w is divided by h(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q + 3\/2 + 1\/6*q**2.\nAnswer: (q - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28245572297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6489 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.14 + -0.14. Let o = p - 6.7. Let t = 47 + -44. What is the nearest to -0.1 in -2\/13, t, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 871 + -696. Let x = z + 86. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 14 + 2*k**3 - 3*k**2)*(-5 + 4 + 4) as c*k**3 + j*k + n*k**2 + b and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 190, 183, 176?\n\"Answer: -7*l + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + 3. Calculate the remainder when 134 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 26 = 2*y, 3*y - 39 = -4*a + 6*a. Let n = 14 - y. Suppose 2*g = n - 5, 0 = 5*w - g - 62. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*v - 5 + 16 = 0, -4*v = -i - 13. Let y(h) = -2*h + 1. Let z(f) = -11*f**2 + 35*f + 4. Let b(r) = i*z(r) + 6*y(r). Factor b(k).\nAnswer: -3*(k - 3)*(11*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-36)*-4*-3*1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5 + 0 = 3*a, 3*a + 4 = -4*s. Let u be (-9 + s)*(-22)\/1. Let w = 379 - u. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14905*s**2 - 10*s + 5. Is g(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -4975*s**4\/12 + 79*s**3\/6 + 1913*s. Find the second derivative of j(z) wrt z.\nAnswer: -9950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33234*d**2*k**3 + 3566*d**2*k - 126*d*k**3 + d*k - d - k**3 + 21*k wrt k.\nAnswer: -199404*d**2*k - 756*d*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 180 - -75?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = 4*c, 3*c + c + 4*r = 24. Suppose 5*k = 2*k + s + 49, 2*s - 64 = -c*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:37 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -197 (c) 33\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 79251*y**3 - 21 - 20*y + 5*y + 2*y**2 - 6*y - 79252*y**3 - y**4 as q*y + p*y**4 + g*y**3 + i + m*y**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 108. Suppose -3*r + w = 2*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1046 and 8.\nAnswer: 4184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2561, -20657, -69893, -165839, -324065, -560141, -889637?\nAnswer: -1328123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74\/3 of a decade?\nAnswer: 2960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86446562, -0.2, 1\/2, 2 in decreasing order.\nAnswer: 2, 1\/2, -0.2, -86446562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxoo when four letters picked without replacement from {o: 1, p: 5, x: 2, c: 4, z: 1, u: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 3*t + 6*t + t. Let z(o) = -8*o**2. Calculate k(z(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67ebe (base 15) to base 8.\nAnswer: -1205720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 0*t**4 + 0*t**3 + 0*t**5 - 4\/3*t**6 - 13 + 0*t + 5*t**2. Find the second derivative of a(y) wrt y.\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 42*z**2 - 264*z - 116. Let y be k(-7). Let r = 23 - 10. Which is smaller: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 10*w - 40. Let d(y) = y**2 + 2*y + 8. Let x(m) = 5*d(m) + i(m). Let v(f) = -f - 1240. Give v(x(r)).\nAnswer: -3*r**2 - 1240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3176717 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m = -59*m + 750 + 1182 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzt when three letters picked without replacement from {z: 7, t: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1876 + 2085. Calculate the least common multiple of 209 and l.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**3 - 5*x**2 + 2*x + 4. Let y(h) = -h + 5 - 3*h**3 + 4*h - 4*h**3 - 6*h**2. Suppose -5*g + 20 = -10*g. Give g*y(u) + 5*j(u).\nAnswer: -2*u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 746747 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.726 * 29\nAnswer: 21.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 5, 85 in decreasing order.\nAnswer: 85, 5, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z - 128. Calculate k(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -4 + (-3)\/(-6) - 201\/(-2). Solve -n + 106 = v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = 4*m - s, 4*m - 8 = s. Suppose 37 - 4 = m*q. Suppose -q = -3*h + 22. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u. Let z(j) = 4156*j**2. Calculate z(m(h)).\nAnswer: 336636*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - (sqrt(1500) - 6*sqrt(1500)*1)) + sqrt(1500) + 4*sqrt(1500)*-1)\/(-5*sqrt(1200) + sqrt(972)*6).\nAnswer: 15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 78. Let i(d) = -d - 31. Let b(j) = -12*i(j) + 5*o(j). Let n be b(-6). Suppose 13 = a - n*a - 2*f, 2*a - 16 = 2*f. Solve -g + 4*g = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*q = 20, -g + 2*q = -2*q + 20. Suppose g = s + 2*s. Find the second derivative of x**2 - 3*x + 0 + s + 2*x**2 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 smaller than -5455\/194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -385*x**2 - 31*x + 4. Determine z(-1).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Suppose w + 11 = -y. What is the units digit of (4\/w)\/((-1)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, 7, 2872, 0 in increasing order.\nAnswer: -3, 0, 7, 11, 2872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 35251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9597454us?\nAnswer: 959.7454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 + 69*m**3 + 3*m + 5561.\nAnswer: 4*m**3 + 207*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437 = 82*q + 658 - 29 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7227.9 - -7228. Let j = 0.064 + 27.936. Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 5*l**5 + 3*l**5 + (-2 + 1 + 3)*(-2*l**5 - 3*l**5 + 4*l**5).\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, s: 1, k: 4, e: 6}. What is prob of picking 1 s and 2 e?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 + 7 = 0. Calculate the common denominator of (-11)\/(-14) - (s - 8) and -79\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 - (-2 - (-68 + 17))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 12 (b) -1\/2 (c) 9.175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/39 - -38\/117. What is the closest to -1 in 3, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225439360 divided by 56359840?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 16*y**2 + 4*y - 3. Let m be z(1). Let j(c) = -8*c + 140. Calculate the remainder when 46 is divided by j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 42031023?\nAnswer: -42031013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p. Let a(v) = 12*v - 10*v - 4*v + 6*v. Determine a(o(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 2222201?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 14, -39, -122, -241, -402, -611?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q - 10. Let k be y(-2). Suppose k = 4*o + 4*r - 8*r - 2948, 0 = -4*o - 5*r + 2948. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33)\/2)\/((-4)\/8). Let x = -5 - -8. Calculate the greatest common factor of x and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1 + (-2)\/(-1)). Is d greater than -2\/599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(2098*m + 14209 - 14209)*(3*m + 3*m - m) as i + l*m + s*m**2 and give s.\nAnswer: -20980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s - 150. Is 7 a factor of s\/(-21)*(10 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxp when three letters picked without replacement from {g: 2, p: 4, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 + 95*v**4 + 1184*v wrt v.\nAnswer: -40*v**3 + 1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162511*g*o**3 - g*o**2 - 942993*g + 3*o**3 wrt o.\nAnswer: -975066*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 0*l**3 + 4*l**2 + 0*l**6 + 0*l + 0*l**7 + 0*l**4 - 3\/112*l**8 + 1\/5*l**5. Find the third derivative of o(q) wrt q.\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in 2, 2\/3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25970 or -25969?\nAnswer: -25969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7596681 = -3*o - 1717790, 2*v - 4*o - 5878912 = 0. Let s = v + -1539450. Round s to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3.6. Let m = -4.001 + 0.001. Let d = m + j. What is the third smallest value in 1\/5, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25723 - -25413. What is the closest to -1 in 4, d, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 44. Let o = w + 17. Is 2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1833685 to two decimal places.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -111538, -111539, -111540, -111541, -111542?\n\"Answer: -x - 111537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80823, 161768, 242827, 324000, 405287, 486688, 568203?\n\"Answer: 57*y**2 + 80774*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - 14 - -74 - 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -157470 divided by -5?\nAnswer: 31494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17461.\nAnswer: 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.1. Let w = 0.7 + p. Let y = 116.495 - 111.495. What is the nearest to -2 in y, 8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2*h - 583 + 574.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from lkllllklllllkll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2 - 7*y**2 - y**3 - 3*y + 5*y**2 + 2. Let c = -60 - -62. Calculate m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1468, 2950, 4432, 5914, 7396, 8878?\n\"Answer: 1482*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 52844, -8\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2213 = 5*i, 5*c = -2*i + 982 - 110. Suppose -72*x + 79*x = i. What is the greatest common factor of x and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.03 - 6.67. What is w rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772505221.\nAnswer: 4663, 165667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(-46))**(1\/11)\/(f**(2\/21)*f*(f*f**6*f)\/f*(f**1\/f)**(-13)) assuming f is positive.\nAnswer: f**(-7418\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 24*l + l + 3*l**2 - 25*l. Let g(o) = -3*o**2 + 49. What is g(k(w))?\nAnswer: -27*w**4 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-58 + 10 - (26 + -30)) - -20\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716 by -5.\nAnswer: -716\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010101 (base 2) to base 16.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8936)\/(-704) + -11 + 5 + -7 and 53\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 52, 1.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211021012021 (base 3) to base 5.\nAnswer: -103011041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 5*r - 2. Let n(v) = -v**3 + 5*v**2 - 3*v + 12. Suppose -5*b - 5 = 2*s, -2*b = -3*s + 13 + 8. Let m be n(s). Calculate w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q - 465. Determine o(-49).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1370*y**2. Let q(f) = -4669*f**2. What is o(q(v))?\nAnswer: 29865398570*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 - s**4 - s**4 + (-10 + 10 + 2*s)*(-6*s - 4*s**3 + 6*s) as l*s**2 + m*s**3 + t*s + g*s**4 + w and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -1535 - 3598. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (-6 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as 0.367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -892 + 366. Which is greater: -524 or p?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738779381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f + 363. Let h be g(0). Suppose -h - 447 = -9*m. Calculate the highest common factor of m and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1923 divide 4827679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309582137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 plus 2.1944736459?\nAnswer: 101.1944736459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -126 - 24 - z**3 + 5 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3101, -8627, -14095, -19475, -24737?\n\"Answer: 5*o**3 - o**2 - 5558*o + 2453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -34. Let g = 859\/7 + -123. What is the second biggest value in c, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y)*(2*y - 7*y + 3*y)*(-106 + 37 - 4) + 2 + y**2 - 3*y**2 + 0*y**2.\nAnswer: 144*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose t + 4*y = 32, 2*t - 4*y = -t + 16. Suppose -4*l + l = m - 16, -x*m = -t. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12843060 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 + -188. Suppose 6*x + 128 - 194 = u. Solve 0 = 2*p + 4*n, 3*p + 0*p + x = 5*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7242169?\nAnswer: 11, 658379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 27 = -19*d + 60 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 3*z**2 - 4*z + 6. Let j be s(-4). Solve -j*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/105613 or -0.1?\nAnswer: -2\/105613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -20, 0*u - 18*u - 519*p + 2 = -524*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229\/3 > 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 1\/12*o**4 + 3*o**2 + 0 + 7\/6*o**3 + 2*o. Suppose -w - 1 = 4. Give h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (5 + -9))*3. Which is the second biggest value? (a) -0.5 (b) 2\/11 (c) 26 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 22 - 6. Let s = -3 - k. Let m(w) = 3*w**3 + 2*w**2 - 1. What is the units digit of m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -13. Let s = -3 + 58. What is the remainder when s is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8720 divided by -12?\nAnswer: -2180\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d - 29. What is h(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377340 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*s**3 - 41*k**3*s**2 + 2*k*s**6 - 56*k*s**3 + k wrt s.\nAnswer: 6*k**3 + 240*k*s**3 - 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or 5\/44?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2400 - 16?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 847390*h**4 + 2005623*h**2.\nAnswer: 20337360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 3*r - 2. Let q(x) = -6519 + x + 13040 - 6522 - 2*x**2. Determine -3*i(z) + 5*q(z).\nAnswer: 2*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, 2\/11, -8390, 0.02, 1\/38, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 1 + 1 + (4*l**2 - 13*l**2 + 11*l**2)*(-3 + 2 + 2).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1100022002212?\nAnswer: 1100022002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*w - 14919 = -117*w - 2407 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in centuries?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 - 15*b**2 + 7*b**3 + 33*b**2 - 4*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let q be h(2). Let m be ((-3)\/(-9))\/(q\/54). What is the units digit of 78\/m - 4\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*v + 43, -y - 62 = -5*v - 2*y. Let w(b) = b**3 - 12*b**2 - 8*b - 19. Let k be w(v). Let q = 79 - k. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {g: 1, d: 2, n: 1, i: 2, r: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 34231259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 345*l**2 - 6*l + 5. Let z(o) = 1035*o**2 - 16*o + 14. Let f(g) = -11*w(g) + 4*z(g). Does 8 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15895273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(153))*-2 + -3*(sqrt(153) + 1 - sqrt(153)).\nAnswer: -6*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 11*o + 5*c + 20, -8*o - 37 = -c. Let p be 12\/(-18)*-54*3. Suppose -5*v = -3*v + p. Sort v, 0, o in decreasing order.\nAnswer: 0, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:29 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.26618ng in micrograms?\nAnswer: 0.09626618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10269.9504759 - 17?\nAnswer: 10252.9504759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 147*v**3 + 313*v**3 + 2*v**2.\nAnswer: 166*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/31, -2\/7, 35, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467331817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -998 and -0.1.\nAnswer: 99.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4065 + 12257.157\nAnswer: 16322.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2*i. Let z be (-4 + 3 + -3)\/(-2). Let y be b(z). Suppose -f - f + 32 = 2*c, -f - 2*c + 15 = y. Solve -5*w - 2*g - 2 = -f, -w + 3 = -2*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-380 - 321 - 1053)*(-u + 2 - u + 4*u) to the form j*u + v and give v.\nAnswer: -3508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = v - 4. Let h be 4\/((-12)\/(-15)) + -3. Find the first derivative of h*x - 7 + v + x wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 4)\/(2\/194). Let b = a - 67. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617838.\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - -30. Let c(f) = -f**3 - 5*f**2 + 9*f + 6. Let s be c(-8). What is the greatest common divisor of g and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 40, -123 in ascending order.\nAnswer: -123, -5, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 569113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1289 - 1285. Let u = -3 + -2. Let f = u - -3. Which is the third biggest value? (a) l (b) -6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -569, -1860, -4207, -7922?\nAnswer: -13317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/9 and -59\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**3\/6 - 5*b + 34. Let i(m) be the first derivative of l(m). Let v(a) = a. Give i(v(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 38214803 and 437.\nAnswer: 38215240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6806?\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(0*n + 0*n + 2*n)*(1915*n + 1917*n + 380*n).\nAnswer: -8424*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 459 - 1?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3\/(6\/(-4)). Let x(h) = -h**3 + 2*h + 1. Let w be x(-2). Let b(p) = -p**3 + p**2 + 1. Let u(n) = -6*n**3 + 5*n**2 + 7. Give d*u(o) + w*b(o).\nAnswer: o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -761 - -764. Let 26\/7*h**2 + 12\/7*h**d + 24\/7*h + 2\/7*h**4 + 8\/7 = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 101 = 5*d - 0*a, 0 = -d - 5*a + 41. What is the remainder when 60 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -0.3 in decreasing order.\nAnswer: 0.1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/698667 and -169\/6431070?\nAnswer: 3234828210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 846, 848, 850?\n\"Answer: 2*a + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -12, 5, 3.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/13)*n*n*n)\/n*n)\/n)\/n**(-2)*(n\/((n*n**(2\/7))\/n))\/(n**(-1\/6)*n*n*n) assuming n is positive.\nAnswer: n**(1111\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(64)*1)\/(sqrt(6)\/(sqrt(8)\/(-1*sqrt(4)))).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2352, 9401, 21148, 37593, 58736, 84577, 115116?\n\"Answer: 2349*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16662086?\nAnswer: 2, 7, 1190149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.15 (b) -4\/7 (c) 3\/4 (d) 1\/5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4\/(-3))\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v - 219 + 457 + 146 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5187 and 8686002?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181599.\nAnswer: 3, 11, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7797.00006989 - 7797. What is z rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -206, -753, -1820, -3581?\n\"Answer: -29*d**3 + d**2 - d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 11 - 127. Let t = -86\/3 + m. Put -16, t, 0.5 in decreasing order.\nAnswer: 0.5, t, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-186)\/12 + 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**4 + 146*p**3 + 5*p**2 - 148*p + 4. Let g(k) = 5*k**4 + 147*k**3 + 7*k**2 - 150*k + 6. Let m(l) = -2*g(l) + 3*h(l). Factor m(q).\nAnswer: -q*(q - 144)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 1 - 1)*((0*s**2 + 0*s**2 + 2*s**2)*(-3*s + 7*s + 5*s) - s**3 + 0*s**3 - s**3).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 1. Let y be z(1). Suppose 5*m - 68000012 = -4*l, m - y*l - 67999994 = -4*m. Round m to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115854566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1144 and 173433.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8903, -71052, -239699, -568094, -1109487, -1917128, -3044267?\nAnswer: -4544154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 10:30 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85685 is divided by 422?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81677 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101110010010 (base 2) in base 5?\nAnswer: 1104341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(3\/(3\/2)). Suppose 4*z = -l - 2*l + 20, -3*z - l = -10. Suppose 0 + 6 = z*r. Sort r, -5, o in ascending order.\nAnswer: -5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276326, -276339, -276352, -276365, -276378?\nAnswer: -276391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -259, 20, 2\/73, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**2 - 53*b - 1. Give d(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 - 472*y**2 - 4*y. Let i(c) = 16*c**3 - 1417*c**2 - 14*c. What is 2*i(v) - 7*q(v)?\nAnswer: -3*v**3 + 470*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734265 divided by -405.\nAnswer: -1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 11 = 5*l, -5*l - 21 = 4*a - a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 248?\nAnswer: -69\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*d - 54 = 0, 5*d - 21 = -2*o + 4*d. Suppose -3*s = -0*s - 4*h - 2065, -3*h = o. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 80 = -5*g, 0*g = -4*g - 5*s + 73. Let w be (-1)\/(g\/24*4\/(-6)). Solve 4*r = w*y - 5, 4*y - 5*r - 10 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 7, i: 12}. Give prob of sequence gogo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104.61 + -9.\nAnswer: 95.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 19*c**2 - 51*c - 63. What is the thousands digit of s(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g - 76 = -z, -2*g = 4*z + 26. Let s = g + 26. What is the lowest common multiple of s and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/20 - (-2)\/10. Suppose 0 = -2*r, -2*r = -k*v + 2*r. Let y be 0 - (v + -86 - 2). What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 3 - u - 2*u**2 + 3*u. Let r(m) = -30*m**2 + 28*m**2 - 4*m + 0*m + 5*m + 0 - 2. Calculate -3*h(w) + 5*r(w).\nAnswer: -w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 3838*j + 3682561.\nAnswer: (j - 1919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16519 - 6842. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23*a + 30459. Let h(l) = -11*l. Calculate h(u(s)).\nAnswer: -253*s - 335049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20 - ((-12 - -12) + -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**1*m*m**(-4\/3)*(m*m**3)**(-14) assuming m is positive.\nAnswer: m**(-169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 10*r + 425. Suppose -3*w + 62 + 6 = 4*x, -5*x = -3*w - r. Solve -26 = -2*y + 6*u - u, y + 5*u = -x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -966 - -7842. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*f + 861*f - 114 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3901 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcee when four letters picked without replacement from cbccbcceeceeb.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 339 + -339 + (-1 - 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 6 = 0. Is p + 1 - (-340 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32834460 and 98503380?\nAnswer: 98503380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (2 + -2))\/2. Let d(m) = 11 - 13 + 5*m + g. Let a(b) be the second derivative of -b**3\/6 + b. Calculate d(a(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/26 - (-8640)\/1755. Solve -m + u*m + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282404 to the power of 1\/2, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.11071 and 19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44809300*a**2*g**2 - a**2*g - 2*a*g**2 - 21714*a*g + 321*g**2 - 2*g wrt a?\nAnswer: -89618600*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 8, r: 3, o: 2, z: 2}. What is prob of picking 1 z and 1 n?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 + -0.4. Let n = o - 4.4. Let h be (-2)\/4*(-29)\/(2349\/36). Which is the nearest to -1\/12? (a) -2 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96538.\nAnswer: 2, 13, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 2. Let l = -83 - -116. Let o = l + q. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 6*z - 2. Let t be (25\/(-20))\/((-1)\/12). Suppose -2*f - 2*w = 10, -4*f - 5*w - t = 6. Give j(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 278*i + 16. Let c be o(4). Suppose -7*p + c - 6378 = 0. What are the prime factors of (12\/15)\/((-4)\/p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -34. Suppose 3*x - 14 - l = -4*j, 3*x + 6 = 4*j. Suppose 6*g = 4*g - x. Which is the closest to g? (a) 1 (b) 5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/14672 and -127\/31440.\nAnswer: 220080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppappp. Give prob of picking 2 p.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -54, 5, -0.2 in descending order.\nAnswer: 5, -0.2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + k - 7, 2*m - 2 = -2*k - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 9*t + 13. Let u be v(-10). Solve -3*m - u = 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3030 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44888 and 3911084.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 331? (a) 9.1 (b) 576 (c) -3 (d) 2 (e) 0 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21150918, 42301839, 63452760?\n\"Answer: 21150921*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b*b*b**0))**(43\/2))**(3\/23) assuming b is positive.\nAnswer: b**(-129\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 + (-15)\/9. Which is the third smallest value? (a) d (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6675, 26507, 59509, 105687, 165047?\nAnswer: 237595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -75821674 and 1.2.\nAnswer: -75821672.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5265 divided by -4?\nAnswer: 5265\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 619959955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.6 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 65 = 2*h + 10*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x**2 - 267*x + 99. Give o(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 4402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -13, 2, 97, 7, -21 in ascending order.\nAnswer: -21, -13, -5, 2, 5, 7, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 108*v + 8. Let f be p(-6). Let i(j) = -345*j - 2. Let l be i(1). Let s = l - f. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1*m)\/m*m)**(8\/7))**(-2\/69)\/((m*m**(-5))\/(m\/(m*m*(m**3*m)\/m*m)))**(6\/11) assuming m is positive.\nAnswer: m**(-3250\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -121 - 2*o**2 + 0*o**2 + o**2. Let h(b) be the second derivative of b**3\/6 - 21*b - 302. What is h(p(g))?\nAnswer: -g**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 18 = 68. Suppose k + 2 = 4*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**4\/24 - l**3\/6 + 2*l\/3 + 38. Factor a(q).\nAnswer: -(q - 1)*(q + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4076 and 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -38. Suppose 3759 = -2*n - 4*t + 3941, -4*n + t = -472. Is f greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*a - 30, 5*a - 2*z + 8 = 4*a. Find the third derivative of 30*d**4 - 193*d**4 + 7*d**2 + 30*d**2 + 4*d**a + 15*d**2 wrt d.\nAnswer: -3912*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473154208?\nAnswer: 2, 563, 26263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1110\/(-110) - (-56)\/616.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + -21 + 36 - -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14753*j*z**3 - 6*z**3 - 252*z + 1 wrt j?\nAnswer: 14753*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x)**(18\/7)*(x*((x\/(x*x**(-1)*x))\/x*x)\/x)**(6\/5)*(x**(1\/2))**13*(x*x*x\/(x\/(x\/((x*x**(2\/3)*x*x)\/x))*x)*x)**(-4\/5) assuming x is positive.\nAnswer: x**(187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r**4 + 2*r**3 + 5*r**2 - 14*r - 12. Let i(j) = -2*j**4 - 2*j**2 - j. Let u(c) = 5*f(c) + 30*i(c). Determine q, given that u(q) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 12 = -13*d. Solve -4*a + 12 = 4*l, -d*l - 9 = -a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1363 < 1.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 1. Let m(c) = -c - 1. Let r(s) = -2*m(s) - 2*n(s). Let a(b) be the first derivative of b**2\/2 - 5. Calculate a(r(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38185 is divided by 19081.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23688 - -23690. Solve 4*v + 9*n - u = 7*n, 0 = 3*v + 5*n + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35405169.\nAnswer: 3, 17, 167, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17570 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150598234 - 150598248.99999816. Let u = -14.74 + -0.26. Let x = j - u. What is x rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 - 44*o**2 + 8*o + 93. Let c be x(-11). Solve -15*h + c*h = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/3 - 2*b**4\/3 - 7*b**3\/3 - 4*b**2\/3.\nAnswer: b**2*(b - 4)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3793 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*m**2 + 15*m**2 + 15 - 15 to y*m**2 + j*m + a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -389530 + -14?\nAnswer: -389544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + 19. Let n(p) = -2*p + 10. Let m be n(w). What is the common denominator of -2 + (-9)\/m*-29 and -91\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 - 4*c**2 - 8*c - 3. Let g be t(-3). Let f = -75 + g. Suppose f = 14*x - 24. Solve -37 = -4*n + n - 5*v, 2*n - x = v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 12 = -6*t. Suppose 2*a - 594 = -t*d, 3*d - 2*a - 512 = -63. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**2. Let s(l) = 15*l**2. Let c(g) = -3*s(g) + 5*t(g). Let h(b) = -21*b. Determine h(c(r)).\nAnswer: 105*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -7 - 2 + 16 + u**3. Let p(s) = 14*s + 6*s - 26*s + 7*s. Determine b(p(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -129, -157, -205, -279, -385?\n\"Answer: -y**3 - y**2 - 4*y - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1485)\/90*(-64)\/(-48)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*n - 1415 + 1380, -2*n = 3*p - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1671)\/25 - 0) + (-5492)\/34325.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*x = 76*x + 205. Let v = x - -50. Sort -2\/5, v, 5, 2\/3.\nAnswer: -2\/5, 2\/3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 29 = 4*d, -6*d = -f - 4*d + 3. Suppose 6*w + f*w - 12181 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**6\/120 + 7*p**4\/24 + p**3 + 11*p**2 + 38. Let k(t) be the second derivative of v(t). Factor k(d).\nAnswer: -(d - 3)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. What is the units digit of 1\/u*-3 + 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-25))\/((-2)\/10). Suppose -5*h = z*a - 49, 3*a - 44 = 3*h - 7*h. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 32. Is 2\/p*(7 - -226) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001498081326 to seven dps.\nAnswer: -0.0014981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 12) + (-948 - -934) + -34 + -1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -0*z. Let n be -1 - z - -33 - (0 + 1). Factor -2*j**2 + 1 + 3*j**2 - n*j + 18*j + 12*j.\nAnswer: (j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4554 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.6 (b) 1\/3 (c) -0.045567\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r + 19*r + 10*r + 15*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -21*x + 56. Let p(y) be the third derivative of -y**4\/12 + 5*y**3\/6 + 122*y**2 - 2. What is 5*c(n) - 56*p(n)?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 42, 93, 166, 261?\n\"Answer: 11*m**2 - 4*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.8 - -27. Let t = -0.6 + 1. Which is the second smallest value? (a) m (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.6. Let v(u) = -2*u + 14. Let d be v(7). Which is the closest to d? (a) -2\/9 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*l**5 + 0*l**3 + 2\/9*l**2 + 1\/9*l - 2\/9*l**4 + 0.\nAnswer: -l*(l - 1)*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4770369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -219.067*0.2\nAnswer: -43.8134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 5*n**2 - n - 1. Let v be x(-5). Let w(o) = o - 1. Let u be w(6). Solve 4*y = u*s - 8 - 0, 2*y = -v*s + 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 61, 3\/2.\nAnswer: 0.5, 3\/2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**16*t)*t*t**(3\/8)*t)**(-30) assuming t is positive.\nAnswer: t**(1875\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006577054216 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (sqrt(320) + (sqrt(320)*-3 + -3 - sqrt(320)) - (-1*sqrt(320)*5 + sqrt(320)))))**2.\nAnswer: -128*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17752 + 33611. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 3*b**2 - b - 1. Let h be j(-3). Sort -5, h, -1\/2 in decreasing order.\nAnswer: h, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -245, -53214, 1 in ascending order.\nAnswer: -53214, -245, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 0*q**2 - 4*q**4 + 3*q**2 - 2*q**2 to t*q + j*q**4 + k*q**3 + f + v*q**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a + 3*x + 25, x - 3 = 4*a. Let g(k) = -4*k - 1. Determine g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -25. Let z be 10\/((3 + 3)\/i). Sort 2, 0, z in ascending order.\nAnswer: 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*o - 157*o + 18*o**2 - 16*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00078419 rounded to 5 decimal places?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.07 and 1.2261 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*x**2 - 64*x**2 - 64*x**2 + 194*x**2 - 797446.\nAnswer: 2*x**2 - 797446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-686)\/(-630))\/49)\/((-4)\/10)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 525 - -25233?\nAnswer: 26061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 22*k - 16. Let x be m(21). Let o be (8\/(-6))\/((-16)\/36). Put x, -2\/13, -1, o in decreasing order.\nAnswer: x, o, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11224534 (base 6) to base 9.\nAnswer: 576314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7*(-600)\/450)\/((-1)\/91*2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 8:16 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 122231, 122223, 122215, 122207?\n\"Answer: -8*z + 122239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23674461 to the power of 1\/2, to the nearest integer?\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*r = r, d + 3*r + 8 = 0. Let o(n) = -n + 1. Let p be o(d). Let s(b) = 29334*b + 2. Let m be s(p). Round m to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*w**4 + 2*w + 5 + 60*w**4 - 2*w + w**2 - 2*w**5 wrt w.\nAnswer: -120*w**2 + 2424*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 15. Calculate the least common multiple of 45 and z(-3).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 d when four letters picked without replacement from {d: 5, q: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106617, 213233, 319849, 426465, 533081?\nAnswer: 639697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570 minus -13990380479?\nAnswer: 13990384049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.236723275 + 8.6.\nAnswer: 8.836723275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 2 (b) -0.3 (c) 216400 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 856\/5 less than or equal to 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(15\/36*69\/(-46))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 4*u - 7. Let j(o) = 9*o**2 + 12*o - 22. Let q(r) = -2*j(r) + 7*v(r). Let m(b) = 5*b**2 + 7*b - 9. Calculate -4*m(i) + 7*q(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/54)\/((-217)\/113274).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -143, 4, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4028*u**4 + 886?\nAnswer: -16112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 - 19 + 14*f + (2 - 2 + f)*(4 - 17 - 2).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9606692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t + 0*t**3 + 0*t**2 - 1\/3*t**4 + 0. Let b(d) = 2*d**2. What is o(b(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -280, -388, -462, -496, -484, -420?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1.6 (b) -5 (c) 3\/5 (d) -0.2 (e) -0.1424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 50. Let z be j(-22). Is z <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116\/923 - -2\/71. Let l = -34046.8 + 34047. Which is the nearest to l? (a) 5 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let d(u) = 4*u - 1. Let z(x) = 10*b(x) - 4*d(x). Give z(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 29*o - 252. Let y be p(-21). Let k = -630 + y. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -552, -4 in descending order.\nAnswer: 3, -4, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*u + 569212, 5*r + 7*u = 6*u + 711479. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3137*g**2. Let j(p) = -2*p**2. Calculate q(j(d)).\nAnswer: 12548*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11 = -3*c, 0*f = -2*f + 3*c - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 12) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3046009174 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -j + 1684 + 614, 11421 = 5*j - 3*f. What is the remainder when j is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*a - 279, -3*a - 11*d + 12*d + 279 = 0. What is the greatest common divisor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 29*f = -840. Let k be f\/70 - (-44)\/90. Which is the third smallest value? (a) 70 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 790 in increasing order.\nAnswer: -15, 0, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.43 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**4 + 17*c**3 + 25*c**2. Let r be (10\/4 + -3)\/((-2)\/(-36)). Let m(y) = 2*y**4 + 4*y**3 + 6*y**2. Let j(n) = r*m(n) + 2*g(n). Factor j(h).\nAnswer: 2*h**2*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(102) - sqrt(102) - sqrt(102)))\/sqrt(6).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**2 + 3*x**2 + 0*x**2)*(-63*x + 101 + 103 - 203) to g*x**2 + b*x**3 + p*x + v and give b.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 1}. Give prob of picking 2 x and 1 b.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -1292590?\nAnswer: -1292589.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1776939 and 122754.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8029612763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o + 3*o + 1 + 2 - 3*o. Let c(t) = -2*t**2. Calculate g(c(a)).\nAnswer: 6*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*z**2 - 29*z**2 - 30*z**2 - 23*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5585 = -5*o, 2*s + 3*o = 953 + 1283. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82921 times 31?\nAnswer: -2570551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*u**3 + 4413*u**2 + 2096*u - 209 wrt u?\nAnswer: 126*u + 8826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 658423.6t in grams?\nAnswer: 658423600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, b: 2, q: 5}. Give prob of sequence uq.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 6\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -0.0224208.\nAnswer: 0.4708368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r**5 - 5605*r**3 - r**2 + 29787*r + 7 wrt r?\nAnswer: 200*r**3 - 33630*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1104*m**3 + 20 - 2207*m**3 + 1099*m**3 - 3*m**4 + (-2*m**3 - 3 + 3)*(-m - 4 + 4) as l*m + k*m**4 + s*m**3 + u + p*m**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-12)*(-16)\/2. Let r = b + 2. Put 1, 2, r in decreasing order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 4*x**2 - 32*x + 68. Is u(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**2 + 3*q**2 + 9894*q - 9894*q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 1434 = 5*g. Let x = g - -296. What is the nearest to -4\/25 in x, -2, -0.1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 534*t + 484*t - 998*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.69 - 1. Let w = 0.09 - r. Let o be -2 - ((-75)\/21 - -1). What is the nearest to -1 in -5\/3, w, o?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1568220 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28741?\nAnswer: 41, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218 and 18?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.5, -11, 5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12226138660109 - -3?\nAnswer: 12226138660112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/55 and 50\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3956006040629 + 0.5\nAnswer: 3956006040629.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 9. Let g be y(-9). Let j(v) be the first derivative of -v**3\/3 - 9*v**2\/2 + 11*v - 1. List the prime factors of j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 530870 and 3590?\nAnswer: 190582330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19052644\/338 + 3\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 + 0.03. Let l = 0.79 - v. Let y = l + -0.17. What is the biggest value in 0, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k)**(-6\/19)*k**(1\/5)\/k*k*k\/(k\/(k\/(k*k**(3\/4))))*k assuming k is positive.\nAnswer: k**(-29\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4671 and 406742895?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157432 = -141*g - 59231 + 42246. Which is smaller: -1235 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 h when four letters picked without replacement from {o: 3, u: 10, l: 2, h: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**5\/20 + 11*s**4\/12 + 16*s**3\/3 + 3*s**2 - s. Let w(y) = 12*y + 637. Let h be w(-52). Is 28 a factor of v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2604693 and 92\/143115.\nAnswer: 13023465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -9 (b) 18.5 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, v: 3, t: 3, c: 3}. Give prob of picking 2 e.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 8*p - 7*p)*(-2*p**3 + 2*p**3 + p**3) + 0*p**4 + 3*p**4 - 7*p**4.\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146 + 1598247\/10948)*8*1\/(-3).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 4 = 2*k - 2*z, 5*k - 5*z = 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 184. Let d = -58 - o. Let f(a) = 20*a**2 - 5. What is the remainder when f(d) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390514652 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4315 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -4 - 11 - -29. Let r be (1 + 9\/(-12))\/(h\/(-32)). Which is the biggest value? (a) r (b) 2 (c) 63\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(1 + 1 + 0 + (-9 + 0 + 5)*(0 + 3 - 2))*(0 - 5 + 7)*(0*i + 4*i + i) as n + h*i and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 755898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/8*2\/36. Let h = 7\/12 - l. Which is the second smallest value? (a) -1 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255506149.\nAnswer: 23, 11108963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -21. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634575638?\nAnswer: 2, 13879, 22861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108276 - -108275.8. Let a(r) = -r + 10. Let y be a(0). Let i = y - 22. Do t and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 143, 183, 227, 269, 303?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2870401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, m: 2, d: 3, t: 2}. What is prob of sequence mtdm?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 241530211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -27\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134.877 + -142.13. Let v = -0.047 + p. Let u = v + 7. Are u and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 4*w + 5827 = 5770, j = -3*w - 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -532 - 110?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = -27*p - 5*j + 5, -p + 2 = 3*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*3\/99*(-129)\/86?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + a - 2*a + 21, -5*f - 6*a + 468 - 437 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0067095 to five dps.\nAnswer: -0.00671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnnbgn. Give prob of sequence gb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/4 + 1980*l**2 + 11843*l - 221592 = 0.\nAnswer: -7914, -14, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 - (13 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -301242 less than or equal to 0.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 622*x**2 - 5606*x + 58. Calculate z(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let z(a) = a**2 + 4*a - 4. Suppose -2*b = 5 + 5. Let i be z(b). Which is greater: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) -5\/7 (c) -2\/3 (d) -0.3 (e) -2\/15 (f) 0.744\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 213*p**2 - 12211*p + 109883. Calculate t(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-1 + (1*(sqrt(102) + -2*sqrt(102)) - sqrt(102)))\/(sqrt(24)\/(sqrt(4) - (sqrt(64) - sqrt(4))) + -1*sqrt(6)*-5).\nAnswer: -8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.196198 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*f - 2. Suppose 5*c = -1 + f. Solve -c*w = -6*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42651521364 - 6005?\nAnswer: -42651527369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -120. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-c + 0*c - c) - 2*c + 2 - 2 + (0 + 3 + 1)*(-4*c - c + 3*c) + (-4*c - 2*c + 4*c)*(4 + 0 - 6) - 2*c + 0*c + c + 6 - c - 6.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, c: 2, p: 4, g: 2, s: 3, f: 1}. Give prob of picking 1 p and 1 g.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, -44, -207, -516, -1019, -1764?\n\"Answer: -8*d**3 - d**2 - 6*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3 times 1159?\nAnswer: -17732.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 + 10*a**4 - 6*a**3 - 32*a**2 + 47*a - 18.\nAnswer: -(a - 9)*(a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-2)*(-21)\/(-9). What is the highest common factor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f + 6. Let x be y(6). Suppose -30 = 5*l - 10. Let t = x - l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:54 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/264*17\/(-2)*(-4 + 18\/9)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 14. Let j(v) = 6*v**2 - 4942*v. Determine j(s(i)).\nAnswer: 24*i**2 + 10220*i + 70364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 + 166. Solve 6*q = -m*q + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13945598 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -40, 12 = c - 128*k + 129*k. Solve 4*a = 2*o - 22, -c*o = 25*a - 27*a - 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-29 - -6) - (3 + 4) - -7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, t: 1, l: 4, m: 1, x: 4}. What is prob of sequence bxbb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069.4 rounded to the nearest ten?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*v - 0*v. Suppose -i - 2 = -2*a, -4*a + 3*i - v = -2*a. Let l = -34 - -133\/4. What is the smallest value in l, a, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 4*s + 3*s)*(1329*s**3 + 1132*s**3 - 1380*s**3) in the form b*s + t*s**2 + w*s**4 + o*s**3 + p and give w.\nAnswer: -1081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 - 11647096*x\/13 + 16956855654152\/13.\nAnswer: 2*(x - 2911774)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.4905399 to 1 decimal place.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let h(a) = -2*a**2 + a + 1. Let p(k) = -25*k**2 - 3*k - 3. Let o(b) = -3*h(b) - p(b). Determine o(j(y)).\nAnswer: 31*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/13 + 50144*k**4\/13 + 50142*k**3\/13.\nAnswer: 2*k**3*(k + 1)*(k + 25071)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 41*v + 113. Let a be u(22). Let j = a - 530. Let n(s) = -s - 2. Determine n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47632 or -47631?\nAnswer: -47631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10214410 (base 6) to base 12\nAnswer: 124406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:27 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**2\/2 - 2*y + 1. Let f be m(5). Sort 1, f, -2\/13.\nAnswer: -2\/13, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10162477 is divided by 482.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -253403760, -253403762, -253403764?\n\"Answer: -2*y - 253403758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2 - 4*j. Let n(b) be the third derivative of b**5\/60 - b**4\/24 - 4*b**2. Let d(z) = -4*n(z) + u(z). Let k(a) = 3*a**2. What is d(k(o))?\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y + 3 + 4*y + 5*y**2 + y - y**3. Let v be 1 + (2 - 4) + 4. Let g be w(v). Solve 4*j - 3*p - g = -2*p, 0 = 2*p - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209111*w - 13437 wrt w.\nAnswer: -209111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81138?\nAnswer: 2, 3, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -54, -2 in decreasing order.\nAnswer: -2, -3, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -5\/7 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -11.8. Let x = f - -7. Suppose 4*w = o + 15, 3*w - o - 2 - 8 = 0. Put w, -5, x in decreasing order.\nAnswer: w, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/7 + 2916*h**2\/7 - 11628*h\/7 + 11616\/7.\nAnswer: -3*(h - 968)*(h - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-19))\/((32\/(-112))\/((-2720)\/(-119))).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(6*19\/(-912)). Solve 4*r - k = 0, -3*l - 166*r + 163*r + 15 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 - 59 = 34*s - 8 - 189 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36483349, 36483345, 36483341?\n\"Answer: -4*b + 36483353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1289.57 * -0.0235.\nAnswer: -30.304895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 9) to base 11.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 760 = -7*u. Is 38 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94568834?\nAnswer: 2, 47284417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y + 13. Let u(h) = -9*h + 7. Determine 6*j(m) - 11*u(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 12.15. Let g = 0.1499884 + j. Round g to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236\/7 + 34. Sort 4, j, 0.\nAnswer: 0, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563762273.\nAnswer: 661, 852893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:17 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*c - 16. Suppose g = -3*g + c. Let q(z) = z**3 - 4*z**2 + 3*z - 6. What are the prime factors of q(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 4*c + 2. Suppose -193*w - 25 = -168*w. Determine k(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 26*d**2 - 25*d - 42. Let b be l(27). Calculate the greatest common factor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44420 = 19*b - 294008. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 1. Let b(a) = -5*a - 8. Let w be (4\/(-5))\/(4\/(-30)). Let v(o) = o**2 - 5*o + 2. Let q be v(5). Suppose q*x = 2 - 0. What is w*l(i) + x*b(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**2 - 194. Let r(w) = -3*w**2 - 63. Determine -2*n(u) + 7*r(u).\nAnswer: -5*u**2 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1992.47 and 79620.98.\nAnswer: 81613.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728383.\nAnswer: 728383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1 - 1 - 1 + 1 + a. Let k be h(3). Differentiate -k - 2*y**2 - 2 + 4 + 0 with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 4*u + 1. Calculate a(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u. Let a(o) = -5*o**2 + 4*o + 7. Let j(m) = -a(m) - 3*k(m). Is 19 a factor of j(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 249)\/((-19)\/19). Suppose -6*y + 9*y - s = 0. Suppose -u + 5*z + 64 = 0, 0*z - z - y = -2*u. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485.6 + -484.6. Let x = 1 - 1. What is the nearest to 4\/7 in x, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:39 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*p**3 - 40662561001 + 2*p + 40662561001.\nAnswer: 234*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1684 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-60))\/(-14 + (-200)\/(-15))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 18*g + 27850 - 25725 = 0. Calculate the remainder when g is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -21.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*v - 16 = -193*v - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(7 - 1). Suppose -a*v + 299 = -2*i, 0 = i - 3 + 4. Suppose v = 4*w - 5*n, 4*n + 48 = 5*w - 3*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22*22\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175441 is divided by 35088.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -475. Let a = -320 - d. What is the smallest common multiple of 2 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-27))\/((-32)\/48)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2860 + 2860 + 70*s)*(-4 + 0 + 3)*(-2 + 2 - 1) + (4 + 3 - 6)*(s - s + s) + (3*s + 7*s - 4*s)*(-3 - 2 + 4) to o + x*s and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 28*n**2 + n - 6. Let r be x(14). Solve -2*a + 3*g - 11 = 0, 6*a - a - g = -r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 27683.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 - 4 + 4*i**3 + i + 5 - 2*i**3 to the form p + j*i + b*i**2 + w*i**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 + -100. What is the second derivative of 68*r**c - 33*r**4 + 41*r - 35*r**4 + 13*r**5 wrt r?\nAnswer: 260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Let t be 10763\/329 + -33 - (-62)\/70. What is the third biggest value in t, -9\/7, a?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 289 = c, -c - 2*c = 4*w - 853. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 - 12 = 0. Let c be 3 - (5 + -1) - s. What is the second derivative of 17*i + c*i**2 + 0*i**2 - 7*i wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - 50*q**2 + 11*q - 161. What is w(11)?\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -4\/7 (c) -13 (d) -0.04 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**3 - 49*g**2 - 3*g + 6. Let v(d) be the first derivative of 9*d**4\/4 + 47*d**3\/3 + 2*d**2 - 8*d + 166. Let j(c) = 4*t(c) + 3*v(c). Factor j(k).\nAnswer: -5*k**2*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 12*k + 63. Give h(-24).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-174149.9.\nAnswer: -6965.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -23, 2, 0 in increasing order.\nAnswer: -23, 0, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 137. Suppose 0 = 5*l + 5*n - q - 26, 0 = l + 4*n - 29. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 6*v. Let c(m) = -16197*m - 156. Calculate c(s(z)).\nAnswer: -16197*z**2 + 97182*z - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10693 divided by 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -116, -465, -1186, -2411, -4272?\n\"Answer: -22*v**3 + 12*v**2 + 9*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -136*j - 3. What are the prime factors of z(-1)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - -176?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 4 + 4)*(379 + 370 - 112 - 157) to k*p + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-3))\/((-96)\/(-288)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -1?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1227?\nAnswer: 4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 137*r + 385. What is the thousands digit of c(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 6}. Give prob of sequence uaaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and -79\/7173768?\nAnswer: 7173768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:24 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = 66. Suppose 0*j = 3*j - f. What is the smallest common multiple of j and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-10)\/(-2) + 364 + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69119556 less than 1220.53?\nAnswer: -69118335.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 14*b**2 - 32*b - 24.\nAnswer: -2*(b + 2)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t*t*t**(4\/9))\/t)*((((t*t**(-8\/3)\/t*t)\/t)\/t*t)\/t)\/t*t**(-8\/3)*t*t\/((t**(-6)\/t)\/t) assuming t is positive.\nAnswer: t**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -615.3 or 0.181?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1374*x - 1379*x + 2803*x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/70 and 9\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from {p: 8, u: 1, o: 6}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -16*k + 77. Solve 0 = -5*h - w + 20, k*w + 45 = 4*h + 2*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 207 - 5. Suppose -5*t = a - 81, 0 = 99*a - 104*a + 5*t + 225. Calculate the remainder when x is divided by a.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*v = 2681*v - 1342*v + 798 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmjmjmmjmxmjwjwwmm. What is prob of picking 2 m?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-25)\/(-15))\/((-12)\/(-5508))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-816)\/352*(0 - -4) + 9?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (85*j + 96*j + 13*j)*(j + 1 - 1 + (2 + 4 - 4)*(-j - 2*j + 4*j) - j - j + 0*j - 2*j - 2 + 2) in the form b*j + w + g*j**2 and give g.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*n - 29*n + 94*n - 36*n.\nAnswer: 148*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872044*b - 436067*b - 11*b**2 - 435977*b.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 13*k + 48. Let v be t(6). Suppose -3*q = 3*z - v, z - 2*z + q = 2. Solve -5*r + 25 = z, -5*m + r - 25 = -0*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1))\/t*t)**(-26)*(t**(1\/4)*t)**(-3\/25) assuming t is positive.\nAnswer: t**(-523\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9881801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2. Let s(r) = -4*r**2. Calculate s(x(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4475184300?\nAnswer: 2, 3, 5, 29, 277, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332 - 255. Calculate the remainder when 290 is divided by p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/5, -66.4, 4\/3, 19 in descending order.\nAnswer: 19, 4\/3, 1\/5, -0.3, -66.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2)\/((-4)\/8). Suppose -4*z + 47 = q*h, -2*z - 3*h + 28 = -5*h. Suppose 15*c - 154 = z*c. What are the prime factors of c?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4, 5*p + 8*n - 4*n + 205000008 = 0. What is p rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-1)\/99*(-14 - (-589)\/38)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112233418 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -1\/2, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -4 - (2 + (-11 - -4) + 7 + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 - 757 = 47*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4612 divided by -16386.\nAnswer: -2306\/8193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q - 15*q + 6 - 13. Let z(g) = -19*g - 14. Let f(b) = 9*m(b) - 4*z(b). List the prime factors of f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from kmkimsmkmikmkkkmkib?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0*p\/((p\/(p**(-1\/6)*p))\/p*p)*p)**(-7))**(-12\/7) assuming p is positive.\nAnswer: p**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-7) - 585\/(-315) - -110. Calculate the greatest common divisor of t and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*a**5 + 2*a**3 + 496862*a**2 + 18779*a + 1482?\nAnswer: -1300*a**3 + 12*a + 993724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09006 + -0.09. Round t to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5782702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*o + 150 = 680 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -460930 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -51, 0.04, 0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95963, 191240, 286519, 381800, 477083?\nAnswer: 572368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16.5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 85. Solve 0 = w*m + 9 + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 123 + 54*r - 47*r.\nAnswer: 2*r + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**5 + 2*x**4 - 3187640*x**3 + 4*x**2 - 5*x - 975728 wrt x.\nAnswer: 300*x**2 + 48*x - 19125840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (12 + -3 + 2 + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(605) - (sqrt(605)*4 + sqrt(605)) - sqrt(605)) + -4 + sqrt(605) + sqrt(605)*1)**2.\nAnswer: 594*sqrt(5) + 5526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1505\/(-198) + (-4)\/12. Let f = l + 194\/33. What is the common denominator of 6\/(-40) - (-2)\/(-2) and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.53744312 and 1.0448.\nAnswer: 4.58224312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, y: 6, g: 2, u: 8, q: 1}. What is prob of picking 2 m and 1 g?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -452672*f - 62921412. What is o(-139)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/80)\/(198\/(-31715)). Let o be ((-2934)\/(-12))\/(1188\/10) + -2. Let l = v - o. What is the common denominator of -55\/4 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 28876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 divided by -2846.\nAnswer: -189\/2846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 11:42 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 24*f**2 + 36*f + 44. Let n be c(10). Solve 3*a + n = -o - 1, 0 = -4*a + o + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1101 divided by 400.\nAnswer: -1101\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 8*c + 6. Determine s(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -25*z - 1. Let m be s(-1). Let x = m - 22. Suppose 0 = 3*n + c - 38, -c - 15 = x*n - 39. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37542 times -0.4?\nAnswer: -15016.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 92\/3. Let a = -111\/290 + -1\/58. Is j at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*p + 34 = p, -5*v = 2*p - 36. Let f(g) = g**3 - 7*g**2 - 7*g - 8. Let h be f(v). Let r be -3 - 10\/30*(-14 + 2). Solve -b + 4 + r = h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57283 + -21076. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x - 74 - 20. What is the remainder when 151 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 217*o**2 - 94*o - 1944. Determine n(109).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**4\/12 + 119*l**2\/2 - 3*l. Let z(v) = -v - 1. Let q be z(-1). Is n(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 26 - 343*x**4 + 346*x**4)*(-12 - 16 - 2).\nAnswer: -90*x**4 + 570","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/9*o**3 - 44\/9*o**2 - 338 - 2\/9*o**4 + 520\/3*o.\nAnswer: -2*(o - 3)**2*(o + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(-2 - 4 + 4)*(-n**2 + 0*n**2 + 0*n**2).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.107 + 0.093. Let n = 4.2 - i. Let y = -1\/7 + 0. What is the nearest to -2\/3 in y, 0.3, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92836 and 28?\nAnswer: 649852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79311293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*w, o + 2*w = 5*w + 8. Suppose -2*x = o*t - 6 - 14, 0 = 2*t + x - 15. What is the remainder when t is divided by 4\/(-3)*(-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -88, -168, -250, -334, -420?\n\"Answer: -k**2 - 77*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, -2\/11, 2\/7, -8.4 in increasing order.\nAnswer: -8.4, -2\/11, 0.1, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*n - 0*n + 1, -2*u = 3*n - 2. Let l be 1 - (-22 + u + -1). Suppose -4*o + 89 = -l. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41392230 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2100 and 79\/21.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0 (c) 5 (d) 101 (e) -3.2484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-4) + (-474)\/79 + (-10)\/(-1).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let h(n) be the second derivative of -n**5\/30 - 3*n**2 - 6*n. Let k(d) be the first derivative of h(d). Give k(l(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-5)\/2)*80\/15. Calculate the greatest common factor of y and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1 - 2 - -5) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -141714*a + 856. Let u be i(4). Round u to the nearest ten thousand.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10658*a**3 - 66576*a**2 + 15930*a - 972 = 0.\nAnswer: 9\/73, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.042 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 11*s**2 + 11*s - 10. Let m be t(-12). Suppose i - m*i = 0. Solve -4*h + 30 = 5*a, -3*a - 5*h + 25 + 6 = i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -34*d**2. Let f(k) = 35*k - 4*k - 15*k - 10*k. Determine f(v(n)).\nAnswer: -204*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(32\/12)*2. Suppose -s = t - 11435, -4*s + b*t = 2*t - 45715. Round s to the nearest 100.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 - y + 1. Let k be w(2). Let v = 12 + -7. Let h = v - 3. Solve 0 = k*i - i + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1797 divide 2314536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.46 rounded to 1 decimal place?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -15 - (-13 + 12 + 7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61082 less than or equal to 59005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hssh when four letters picked without replacement from {h: 5, s: 13}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 77, 210, 419, 710, 1089, 1562?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8\/13)*d**(1\/58)*d*d*d**35*d*d*d\/d**(1\/5) assuming d is positive.\nAnswer: d**(147791\/3770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000988778342 rounded to seven decimal places?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*m**3*v**2 + 2*m**3 + 4*m**2*v**2 - 6*m**2*v - v wrt m.\nAnswer: 192*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(42\/22) + -2\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-8) - 9688\/52416*39\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Suppose 3*a - b - 618 = 0, -1 = a + 4*b - 194. Let z = a - 199. Put h, z, -2 in decreasing order.\nAnswer: z, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23954624 is divided by 98986.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeeh when four letters picked without replacement from hehteeetjeee.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31 + 0.39. Let n = w + 0.32. Let b = 0.2 + 0. Put -3, b, n in descending order.\nAnswer: n, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523138 = 129*c - 3563711. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b + 9. Let p be w(-4). Let h be 14\/p - (-14)\/(-126). Let f(d) = d**3 + 5*d**2 + 4*d - 1. Let o be f(-3). Sort o, 0.5, h in decreasing order.\nAnswer: o, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2747 = 4*k + 22772, -4*p + 102094 = 2*k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.7, -2, -95?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 21 = -4*k, -16*h = -18*h - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1661, -3151, -4641?\n\"Answer: -1490*w - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 236*p**2 + 0*p**2 + 81*p**2 in the form n*p + k*p**2 + c and give k.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f**8*f))\/f*f)\/(f\/(f\/(f\/(f*(f*f\/f**(1\/2))\/f))*f)*f))\/(f**5)**(-2) assuming f is positive.\nAnswer: f**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 0.054, 0.3, 0.2 in decreasing order.\nAnswer: 0.3, 0.2, 0.054, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times -0.029619?\nAnswer: -0.00710856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.93 - 0.07. What is the third smallest value in -1, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -26, 4\/9, -0.1, 0.4 in decreasing order.\nAnswer: 1\/2, 4\/9, 0.4, -0.1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, 0.1, -4, 4, 0.3 in ascending order.\nAnswer: -4, 0.1, 0.3, 4, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 101100101110010110 (base 2) to base 14\nAnswer: 4aa90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 3. Let i be s(-3). Let f = 59494\/64755 + -11\/1439. Let n = f - 1\/9. Is i >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14394.55 weeks to nanoseconds.\nAnswer: 8705823840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49\/32 - -1\/32. Let p be 58\/2 + 3\/12. Let o = p - 30. What is the second biggest value in n, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-280 - -293) + -12 + 2. Let t be (-4)\/18 + 56\/9. Put -4, r, t in increasing order.\nAnswer: -4, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from trgtrtgrrrrrrrtrrpr.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 488, 1582, 3702, 7190?\nAnswer: 12388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {r: 5, c: 2, y: 3, u: 3}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -43 + 0*j + 41 - j**2 - 9*j. Let s be q(-8). Suppose -8*h + 72 = -s*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.9852 centimeters to millimeters.\nAnswer: 7859.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(20)*2 - sqrt(20)))**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*x - 6, 2*x - 24 = -3*w + 7*w. Suppose i = x*y - 38, 0 = 3*i - i - 2*y + 70. Let t = -13 - i. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/7, 3\/4, 3525?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5.3. Let x = 34.7 - 32. Let w = -1.3 - x. Which is the nearest to w? (a) -0.1 (b) k (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 46 = 3*f. What is the remainder when 129 is divided by (-3)\/((3\/9)\/(f + -10))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*l + 11, 10*l = 5*l. Let s be (-2)\/r - (-336)\/(-88). Let z be (-3)\/(s\/((-48)\/(-27))). What is the biggest value in z, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 197*y**2 - 24*y - 27. Determine o(-1).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28330)\/(-9) + 3 + (-4)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(0 + 0 - 2*u**4 + (-2*u - u + 2*u)*(-u**3 + 0 + 0) - u**4 - 5*u**4 + 4*u**4 - 7*u + 7*u + 9*u**4).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:51 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let v be 636\/132 - 1\/11*-2. Let n be ((-84)\/30)\/(6\/v - 1). Let j(k) = 2*k**2 + 7*k + 7. Determine n*y(c) + 2*j(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -133, -542, -1225, -2182, -3413?\n\"Answer: -137*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 124 = 3*n, -n + 16645 = 4*x. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15184*x**4 - 2*x**3 + 14244*x**2 - 4*x - 2 wrt x.\nAnswer: 364416*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107902483019.3 take away -0.3?\nAnswer: 107902483019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, p: 2}. Give prob of sequence pe.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353*0.54.\nAnswer: 190.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**4\/12 + 5*n**3\/6 - 6*n. Calculate k(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 240791303 and -147940.\nAnswer: 240643363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.92 and -0.5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1393*m**3 - 801*m - 11. Let r(i) = -279*i**3 + 160*i + 2. Let j(a) = 2*o(a) + 11*r(a). What is the second derivative of j(z) wrt z?\nAnswer: -1698*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibixxninnqdd. Give prob of picking 1 b, 1 n, and 1 q.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13943*p - 3318*p = 31875 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - 22\/8. Let j = -16206 - -16204. Let b(l) = -2*l**2 - 22*l + 24. Let s(k) = 2*k**2 + 22*k - 24. Let q(x) = j*s(x) + r*b(x). Factor q(f).\nAnswer: 2*(f - 1)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let c be x(5). Let q(z) = 18*z - 273. Let w be q(26). Suppose 0 = c*n + 5*k - w, -3*n + 136 = -2*k + 44. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 32. Is 3 a factor of 954\/36 + t\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10 - 86*b + 304*b - 103*b - 99*b. Let w(s) = 11*s + 7. Determine -5*r(p) + 7*w(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-95)\/(-20) + 748\/(-272). Put -5, 57, h, -3 in descending order.\nAnswer: 57, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 - 38*n**3 - 380*n**2 - 616*n = 0. What is n?\nAnswer: -22, -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*v - 97*v - 42*v)*(0 + 4 - 2) + 2*v - 6*v + v to w*v + a and give w.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n + 158. Calculate the least common multiple of v(14) and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2 + 3)*6.\nAnswer: -36*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 58*t + 344. Calculate h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 - 59*m - 408 = 0. Calculate m.\nAnswer: -51, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/492 and -35\/4.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.29 - -1.61. Let y = f - 14.9. Suppose -7 = -p - 3. Which is the closest to -1\/4? (a) -2 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -280947 and 3.\nAnswer: -280944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**2 - 171*a - 277. Calculate u(23).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:48 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/54 and -76\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w + 14. Let d be m(-6). Suppose -5*z + 93 = 2*y, -d - 17 = -3*z + 5*y. Suppose 4*t = -z - 3. Sort t, 1, 4.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3\/8, 3 in ascending order.\nAnswer: -2\/5, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210504 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*(z\/(z**(-6\/7)\/z))\/z)\/z)*(z\/(z\/(z**(-2\/7)\/z*z*z)*z))\/z assuming z is positive.\nAnswer: z**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -392 + 249. Let y = i - -147. Solve o + y*o + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iddyziiidiidyiiizik. What is prob of picking 1 i and 1 k?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 2*g**2 + 5*g + 7. Is o(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = -5*x + 683, -3*x = -g - 409. Let o = -33 + x. Suppose -3*k + o + 66 = 0. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 2784*c + 197562. Calculate n(75).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*q**2 + 8*m**2*q + 11*m*q**2 + 4*m*q + 1947*q**2 + 6633*q - 2 wrt q.\nAnswer: -6*m**2 + 22*m + 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 15937*m - 143367. Give l(9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 10793 - 1861. List the prime factors of j.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6*a + 6204 = 0. Suppose 7*y = -5*y - a. Let z = 89 - 626\/7. What is the common denominator of y and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 25*x**2 - 26*x - 1. Let a be r(-1). Let g(z) = 1. Suppose -2*t - 1 = -3*t. Let k(i) = -9*i + 2. Let o(y) = t*k(y) - g(y). Give o(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88a (base 13) in base 5?\nAnswer: 21331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 - 13515841113?\nAnswer: -13515841110.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d + 0 - 8*d + 0.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 125?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138325 and 1006?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 11*y**2 - 1283 - 1262 + 2545.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001262247 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = h - 5*p, 3*p = -h + p + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*h + 76*h + 2136 = -285 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306089*n**2 - 152949*n**2 - 153134*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 93 = 47. What is the remainder when q is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 485058847, 970117693, 1455176539?\n\"Answer: 485058846*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -107. Let p = 128 + s. What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69158 is divided by 34443?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -212920 and 4?\nAnswer: 212924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 - j**3 + 3*j**3 + (25125*j + 60 - 25125*j + 9*j**2)*(2 - 2 - j).\nAnswer: -10*j**3 - 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(12\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38935, 38936, 38937, 38938, 38939?\nAnswer: 38940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 17*a - 30. Let g be w(10). Suppose d - 26 = -3*t - 10, g = -2*t - 8. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194336*m**2 + 6*m - m - 9*m + 3 + 4*m - 194335*m**2.\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1290115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 171, 340, 509, 678, 847, 1016?\n\"Answer: 169*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 2*y + 4. Let l(p) be the first derivative of -p**2\/2 - p + 14. Calculate -2*a(c) - 6*l(c).\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*j + 8 = d, 0 = -2*d - 5*j + 1. Let t(s) = s**2 - 3*s - 24. Let k be t(7). Let v(i) = -k*i + 7 - 6 - 2 + 2. Determine v(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9646 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -0.2, 1171 in increasing order.\nAnswer: -2, -1, -0.2, 1171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*o + 2*p, 0*p = -3*o + 2*p - 4. Suppose 0 = -c + o*c. Suppose -7*a + 2*a + q + 18 = c, 4*a = -4*q. Solve -a*i + 1 - 13 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106539?\nAnswer: 3, 17, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/5 + (0 - -1) - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101532.58 rounded to the nearest one hundred?\nAnswer: 101500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-4)\/84)*12\/14. Suppose 0 = t - d + 4, 3 + b = t + 4*d. Let q(o) = -4 - 6 + t - o**2 + 3133*o - 3122*o. Give q(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75075 (base 9) in base 5?\nAnswer: -3042030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -3, -7, 4067 in ascending order.\nAnswer: -7, -3, 1\/13, 4067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*b**2\/4 + 267*b + 41.\nAnswer: (b + 82)*(13*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(4\/12 - 49848\/72). Calculate the greatest common divisor of j and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (600\/180)\/(1\/(-3)) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -82*w**2 - 1013*w - 13. What is i(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 2*k - 2*k)*(2*k**3 + 0*k**3 + 0*k**3 + (-2 - k + 2)*(-k**2 - 3*k**2 + 5*k**2)) + (-1 - 2 + 7)*(0*k**5 - 2*k**5 + k**5).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-30)\/40*(-4)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624\/(-26) - 42\/(-5040)*2886?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 3. Let j = -7 + k. Let s = j - -11. What is the third smallest value in s, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 27 - 127 = 0. Let c(w) = 50*w**2 - w + 1. Let r be c(1). What is the greatest common divisor of r and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + (sqrt(768))**2 + -3 + sqrt(48) + (sqrt(192))**2 + -5.\nAnswer: 8*sqrt(3) + 952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127.12 - -120. Let m = -7 - n. Let z = m - 5.12. Which is the second smallest value? (a) z (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066821 bigger than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 - -977\/7. Let r be (1\/3)\/(2\/(-3)). Let z = -680 - -685. Which is the second biggest value? (a) z (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14034833 is divided by 453?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 - 5*a - 18 + 61*a**3 - 244*a**3 + 186*a**3. Give n(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 9, -4, 0.2, -73.2 in descending order.\nAnswer: 9, 0.2, -4, -6, -73.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326.68ml in litres?\nAnswer: 3.32668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 71. Suppose 64 = v*y + 2*b, b - 74 = 4*y - 9*y. What is the greatest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -275 - -82. Let j = i + 336. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (-14 + 32 - 17)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89370 and 23040.\nAnswer: 22878720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*v - 62*v + 144 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a739 (base 12) in base 16?\nAnswer: -e99d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 3 (c) -0.21 (d) -15 (e) 4\/7 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -57 - (-1825 - -1760).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*w - 3573. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**6\/180 + c**5\/60 - 3*c**4\/2 + 13*c. Let r(p) be the third derivative of k(p). Calculate r(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3576 by 4951.\nAnswer: -3576\/4951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3 - 3)*(7*g - 7*g + 4*g**2).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*f**5\/7 + 60*f**4\/7 + 213*f**3\/7 - 330*f**2\/7 + 156*f\/7 - 24\/7 = 0. What is f?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - w**2 - w. Let u be n(-1). Let g(d) = -u*d - 6 - 14 + 5 + 17*d - 21*d**3. Let r(j) = -3*j**3 + 2*j - 2. Calculate 2*g(x) - 15*r(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 5*l**2 - l - 3. Suppose 0*k = k + 5. Let d be u(k). List the prime factors of 15 + d\/(2\/(-1)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26703.444ms to minutes.\nAnswer: 0.4450574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 46*a + 108 = 0. Suppose 0 = 3*t + 4*s - 3919, 8*t + 4*s = a*t + 2606. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 4 in descending order.\nAnswer: 15, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.1 (c) 0 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162) + 4 - sqrt(162))**2*-6.\nAnswer: -3984 + 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 61.75. Let r = -0.05 + s. What is the nearest to r in -3, -2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.155? (a) -83 (b) 1 (c) 0.5 (d) -1\/6 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.9485 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j**3 + 5157*j**2 - 2*j + 55833.\nAnswer: 9*j**2 + 10314*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5. Suppose r = -o + 3*t + 5, 0 = -3*o + 2*t + 9 + 6. Suppose o*w - 125 = -0*w. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**2 - 4*s**2 + 2*s**2 - 3*s**2. Suppose 0*k = 5*k. Let p(z) = -z - z + z + k. Calculate p(y(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*t**4 + 681*t - 684*t - 3*t**3 - 22*t**4)*(0*t + 2*t - 4*t) - 2*t**5 - t**5 + t**5.\nAnswer: 98*t**5 + 6*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3)*2\/(-4). Suppose -3*i + 6 + 0 = 0. Is 14 + z\/(-1 - i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229303.047 rounded to the nearest ten?\nAnswer: 1229300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 162597219*i**2.\nAnswer: -3*i**2*(i + 54199073)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*y - 3*z, 0 = 3*z - 4 + 19. Suppose i = 2*i + 4*s + 4, 2*s = -y*i - 2. Solve -16 = u - 6*u + 2*j, 5*j - 10 = i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 + 7*a + 1. Let f(m) = -4*m**3 + 13*m**2 + 29*m + 3. Let h(o) = 9*b(o) - 2*f(o). Factor h(i).\nAnswer: -(i - 3)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - 2335?\nAnswer: -2334.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1224)\/4488 + 201\/495.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3 - 112*g**2 + 1088*g - 2304 = 0?\nAnswer: -36, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-78)*(-1131)\/(-174))\/(2\/60).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9*-3)\/(9\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) + (221\/(-6))\/17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-30)\/(-9)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*m + 4 = 0, 3*r = -0*r - 4*m + 4. Let z = r - 4. Let p be 9\/((-3)\/(-3) - z). What is the greatest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d + 0*d + (5 - 3 - 4)*(-9 - 71*d + 9).\nAnswer: 143*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 37*f - 4. Let h(c) = -103*c + 9. Let d(n) = -11*g(n) - 4*h(n). Let w(l) = 26*l + 41. What is 11*d(q) - 2*w(q)?\nAnswer: 3*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 627.7 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + s + 4, -2*g + 5*s + 8 = 0. What is the third derivative of -4*a**3 - 7*a**2 + a**4 + 3*a**g + 4*a**3 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -132 - 978. Does 37 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 35.1, -0.4, 11, 5 in ascending order.\nAnswer: -0.4, 2, 5, 11, 35.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182333?\nAnswer: 182333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10416876*b**3 - 3898*b**2 - 30*b + 2?\nAnswer: 62501256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11\/107 - -26417\/178904. Calculate the common denominator of 103\/3800 and c.\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1\/10, 177, -0.5 in descending order.\nAnswer: 177, 4, 1\/10, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/3745 and (-7 + -3 - (-86514)\/14445) + 1 + 3?\nAnswer: 33705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -12, -h + 21 = -4*a + 7. Factor 2\/9 + 4\/9*f**h - 2\/3*f**4 - 4\/9*f**3 + 2\/3*f - 2\/9*f**5.\nAnswer: -2*(f - 1)*(f + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -57*o + o**3 + 3*o**3 + 5*o - 11 - 3*o**3 - 3. Calculate the remainder when f(8) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t. Suppose n - 3*n = -3*f + 6, -4*n + f + 8 = t. Suppose 177 = n*r - 72. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5622941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-76 - (-21 + 32 + -20))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1101 times -682?\nAnswer: -75.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -30.7. Let y = -93.3 + w. Let t = y - -116.9953. What is t rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5873.029 hours to minutes.\nAnswer: 352381.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -228854 and 0.51.\nAnswer: -228853.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 329026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 4*p + 15*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32737919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5 + 1 + sqrt(2) + 2)*5 + (-1*(sqrt(14) + -1*sqrt(14)))\/(1*sqrt(448)))**2.\nAnswer: -100*sqrt(2) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 + -114. What is the remainder when k is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*t**2*w**3 + t**2*w - 613*t**2 - w**3 - 16101 wrt t?\nAnswer: 24*t*w**3 + 2*t*w - 1226*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270648.\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -90*i. Let b(o) = 14957*o. What is b(y(k))?\nAnswer: -1346130*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 t when three letters picked without replacement from bjjtbbftbnjb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1031260928?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(95)*3)\/sqrt(5).\nAnswer: 5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/24)\/((-12)\/(-8)))\/((-5161)\/19056)?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42903139 - 88.\nAnswer: 42903051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 556729 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 55 = 5*s, 18*s = 39*s - 19*s - 4 + 26 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 1 w when three letters picked without replacement from {a: 13, n: 2, w: 2, g: 2}.\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -8*i + 82. Let q = i + -163\/4. Is q >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-98)\/28)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/10*(-30)\/(-12). Suppose p + 57 = 4*b, 3*p - 15 = -2*b - h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262.121695 rounded to 1 dp?\nAnswer: 2262.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 138438 = -13*g. Is g 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? (a) -1\/5 (b) 0.1 (c) 1\/2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*s = 4, 3*s = -5*h - s + 10. Suppose l + k + 12 = -0*l, -4*k + 16 = -4*l. Let f be (12\/l)\/((-4)\/24). Solve 5*u = h*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517726 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 - 26*t**2 + 4*t + 59. Let z(q) = 9*q**3 + 51*q**2 - 10*q - 118. Let s(o) = -11*d(o) - 6*z(o). Let p be s(19). Factor 0*r + 0 - 2\/13*r**p.\nAnswer: -2*r**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 60 = 62. Suppose 78 = -4*j - 190. Let z = j - m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(4\/20 + 0). Solve n + k*g - 20 = 0, -n + 3*g = 2*n + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20*p + 38542. Let g(y) = 9*y**2. Determine x(g(b)).\nAnswer: 180*b**2 + 38542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let u(z) = 2*z**2 + 12*z. Let g(r) = 12*p(r) + u(r). Let j(c) = 4*c**2. Give j(g(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7349 (base 15) to base 9\nAnswer: 36376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*w - 712 - 30*w + 712.\nAnswer: 51*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8)*-4 + 5827. Let r = s - 1338. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggvgvvgggvvgg. What is prob of picking 1 g and 3 v?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357868297?\nAnswer: 1367, 261791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154274 - 629840 = -42*h. Let m(a) = 11323 - h + 30*a. Let l(q) = -1 + 1 - q. Give m(l(x)).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 17*s**2 - 38*s - 6. Let d be m(19). Let i be 1\/6 + ((-245)\/(-42) - d). Solve -3*f + 11 = 3*q - 1, 0 = -2*q + 3*f - i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 at least as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1474952.853 - 1475694. Let u = 746.3 + o. Let x = 5.1 - u. Round x to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -163*y**3 + 31*y + 6. Let a(o) = 489*o**3 - 90*o - 17. Give 6*a(z) + 17*t(z).\nAnswer: 163*z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155863 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 12. Calculate the remainder when q(8) is divided by (-1)\/(-4 - 55\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-315)\/(-3))\/(-3))\/(((-26)\/78)\/((-4)\/(-6)))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -1\/6*i**3 + 0 - 9\/2*i**2 + 189*i. Let f(s) = -s. What is f(z(j))?\nAnswer: j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = h + 3*h. Suppose 2*q - h = -4. Suppose 45 = 4*r - 3*n, -5*n = q*r - 5 + 2. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(5 - 7)*(-1)\/1. Let o be (-242)\/55 - (-5 - d). What is the fourth smallest value in o, 1, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*f - h, -f + 19*h = 16*h + 6. Solve -f = 7*t - 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 532, 508, 482, 454, 424, 392?\n\"Answer: -l**2 - 21*l + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.03, -2, -70\/9, 2, 0.5 in descending order.\nAnswer: 2, 0.5, 0.03, 0, -2, -70\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfwscvvwbwfccfcscc. Give prob of sequence cwf.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(3 - 5). Let q(z) = 3606*z**2 + 3608*z**2 + z - 10819*z**2 + 3613*z**2 + 1. What is q(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**11\/55440 + i**7\/1260 + i**4\/6 - 5*i. Let z(x) be the third derivative of c(x). Find the third derivative of z(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 2 - (-193 - -176)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*z + 125. Suppose 3*x = 5*f - 15071, 0*x - z*x + 15061 = 5*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 16938?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19263717, -38527415, -57791115, -77054817, -96318521?\n\"Answer: -m**2 - 19263695*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 2*z - 2*z)*(103048 - 2930*z - 103048) in the form w + t*z**2 + k*z and give t.\nAnswer: 8790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 361925\/(-246109)*(-102)\/(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-1 + 28 + (68 - (34 - -44)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3215328 + 0.323. What is m rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(8 + -5) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 + 2 = 0. Let h(j) = -24*j**2 - 3*j - 2. Let n be h(r). Suppose -3*a + 2*s = 55, a + 64*s = 63*s - 25. Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 642\/(-428) + 45\/2. Solve 4*p + 20 = -4*o, p + 7*o - 2*o = -k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -157 and 12.\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and 2\/6*58\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343.8 times -4?\nAnswer: -5375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 39*b**2 - 45*b + 269. What is u(38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1017, 1763, 2521, 3297, 4097, 4927, 5793?\n\"Answer: q**3 + 739*q + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.3, -3, 0, 27364, -5 in decreasing order.\nAnswer: 27364, 1\/3, 0, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.2. Let x = 0 - k. Let d = x + -0.09997. Round d to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -19?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 124\/43 (b) 21 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -17. Sort -1\/4, -2, j in decreasing order.\nAnswer: -1\/4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24.72 in -7, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*b = 15773 + 30049, 5*m - b - 45826 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1714 - -1878. Calculate the least common multiple of f and 32.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 + 13*f**2 - 9*f - 136. Let h(u) = u**3 - 3*u**2 + 2*u + 34. Let v = 80 - 78. Let o(n) = v*z(n) + 9*h(n). Is o(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2168*-40.4.\nAnswer: -87587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 18*u = 820. Suppose -u = c - 5*c. Suppose -c*m = -37*m. Solve m = 2*g - 3*k + 3, -4*g + 5*k = k + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)*14\/7. Let r = 3 + s. Sort -1, -5, r in ascending order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5365*q + 3. Let h(i) = 15*i**2 - 3. Give l(h(a)).\nAnswer: 80475*a**2 - 16092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**3 - 120*p**2 - 252*p**4 + 20*p**3 + 962*p**2 + 384*p**2 + 528*p**2 wrt p?\nAnswer: -6048*p + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 26*l + 38. Let z(v) = 26*v + 38. Let s(r) = -2*x(r) + 3*z(r). Let p be s(15). Let q = p - 206. List the prime factors of q.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -19. Solve -4*h - k = -7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-3))\/(15\/(-720)*-184).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/3)*(q\/(q**(1\/5)*q))\/q assuming q is positive.\nAnswer: q**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4\/5 + 1721*c**3\/5 - 21798*c**2\/5 - 68036*c\/5 - 7032 = 0?\nAnswer: -586, -2, -2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1793 (b) -1 (c) -0.4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -48, 4, -41 in decreasing order.\nAnswer: 4, 3, -5, -41, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/5 (b) -7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q - 50 + 13*q + 35 - 65 to the form o + d*q and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in -10.08, 2, -3, -54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367754239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 2 u when four letters picked without replacement from vnunsuunlvnnsvn.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 769 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.291 + 0.003. Let p = o + -0.024. Let x = p + -0.37. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001100001 (base 2) to base 5.\nAnswer: -23013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(16)\/sqrt(4)*-3)*-2)**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -31*r**5\/20 - 3*r**2. Let f(j) be the first derivative of j**2\/2 + 1293. Calculate f(x(t)).\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3))**17*(l\/l**(-2\/9))**(-1\/15) assuming l is positive.\nAnswer: l**(-4601\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/18910 and -79\/1618696.\nAnswer: 8093480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13770.89 - -13856. What is b rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 43. Let l be -2*1\/2*p. Put l, -1, 4 in decreasing order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose 0 = r + f + 1. What is the units digit of 15\/(-4)*8\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine fourteenths of a week in minutes?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/3100)\/((-45)\/(-54)*9\/30)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 14. Let t = 32 + -37. Calculate the smallest common multiple of 5 and q(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(11 + 87\/(-8))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = 126*v + 225 + 255 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 5*d + 8. Suppose -2*j + 10 = 2*c, 3*j - 4*c + 2*c = 20. Let l be v(j). Solve 0*p = -p - l, -8 = -w + 5*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4385243851 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -14 + (-17 - -7 - -20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 350\/45 + 2\/9. Let v(b) = -3*b - 16. Let m(o) = 2*o + 11. Let d(j) = x*m(j) + 5*v(j). Does 9 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -25. Which is the smallest value? (a) -1\/2 (b) f (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2493548221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170.4 - 170.6. What is the nearest to -0.2 in -3\/5, h, -0.5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5)**(-1\/18)\/(w**0)**(-37) assuming w is positive.\nAnswer: w**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19475331277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from rrrarjrjaaaarrjaj?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbq when three letters picked without replacement from {b: 2, s: 9, q: 5}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-50)*(-12)\/(-21)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 4 (c) -0.7 (d) 0.03 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -99*c - 8705. What is a(-88)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f - 1. Let h be y(1). Solve 0 = 2*v - h*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (413\/28 - 16)*(34 + -14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1 + -1)*(1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 37. Suppose 2*s = 5*q + s + 59, 5*q + 61 = -s. Let k be h(q). Solve 1 = 2*u - k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2338 - -2337.87. Which is the nearest to 2\/7? (a) -5 (b) -2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/19 - 140960*q**4\/19 - 2483856148*q**3\/19 - 4966725616*q**2\/19 + 7450722726*q\/19 = 0. Calculate q.\nAnswer: -35239, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 192, -6, 2\/17, 5, 4?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20 = -6*o. Let r(s) = -s**3 + 6*s**2 - 5*s - 2. Is r(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 5805.\nAnswer: -5804.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041 - 12006028616.\nAnswer: -12006028615.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11328 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5785 + 5785 - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113033 - -21?\nAnswer: 113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let z be h(0). Let b = z - -5. Suppose 0*q = 3*q + 3*r - 6, q = -b*r - 10. Solve s + 9 = -4*j, j - 12 = -q*s - 0*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 481\/2148 - -14\/537. Solve 1\/2*d + t*d**2 - 3\/4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1839 and 1837774?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.064 + -0.074. Are 9\/10 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 10*j. Let m be o(10). Suppose m*r - r = -2. Find the third derivative of -t**5 - 4*t**r - t**2 - 2*t**5 - t**2 wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:22 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 814473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2100 and -37\/4900?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*i - 11 = 5, 5*l + 3*i = -5. Suppose c + l = -5. Let k be 112\/49 + 2\/c. Solve -4*t - 3*j - 16 = -k*j, -j - 4 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380516.\nAnswer: 2, 251, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onxo when four letters picked without replacement from {w: 6, o: 3, x: 5, n: 3}.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 3418, 5, 3, -0.5 in descending order.\nAnswer: 3418, 5, 3, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 = -2*m, 3*m = 4*v - 7 - 6. Let s = m + 19. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2)\/(40\/24*80\/100).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 1, s: 3, d: 4, y: 4, h: 4}. What is prob of picking 1 d and 2 s?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i + 3. Let t be s(6). Let d be (11 - (1 + 1)) + (-1 - 3). What is the highest common divisor of t and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/16*-4*-7*(-9)\/126?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/13)\/i))\/i**3*(i*i**(-8))\/((i\/i**(-1\/6))\/i) assuming i is positive.\nAnswer: i**(-649\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6770\/133 + -978\/19. Let g be 2\/(-4)*2\/29. Let w = 26 + -26. Which is the nearest to w? (a) -5 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 10. Suppose -d + n*d = -19100. Round d to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 + 28. Let o = g - -86. What is the third smallest value in o, 3, -0.4, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 1, u: 2, j: 1}. What is prob of picking 1 u and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228841197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32730, -65458, -98186, -130914?\nAnswer: -163642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1999749*s**2 + 22627369 with respect to s.\nAnswer: -3999498*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -320167\/20 - -16003. What is the common denominator of 73\/45 and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-2) + 1748\/230)*-5. Put -5, 0, m, -193, -2 in increasing order.\nAnswer: -193, -5, -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:33 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9\/120*(-300)\/(-36)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 51*p**2 - 162*p.\nAnswer: p*(p - 54)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3168681, 3168680, 3168679, 3168678, 3168677, 3168676?\nAnswer: 3168675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.3 (c) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxxxdx. Give prob of sequence xx.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407534 is divided by 21386.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459562 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:28 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -65788 (base 14) to base 9\nAnswer: -414038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -1 - sqrt(320) - (sqrt(275)\/sqrt(5))\/sqrt(11)) + -3)**2 - (-1 + ((1*sqrt(360) + sqrt(10))\/(sqrt(16)\/sqrt(128)))**2).\nAnswer: -3898 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + (3 - 2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q**2)*(3 + 16 + 65 + (2 + 4 - 4)*(-1 + 3 + 0)).\nAnswer: -88*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k**14\/k)\/k)*k*k**(6\/13)\/k*k*k*(k\/k**(-1\/4))\/k**(2\/15) assuming k is positive.\nAnswer: k**(-5789\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + (sqrt(343) - (3*sqrt(343) + sqrt(343))) + 5 + sqrt(343)*-3 + -1 + -1)**2*-1.\nAnswer: -12352 - 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/((-4)\/(48\/(-9))). Let b be 8 + 0 + (0 - 3). Solve -2*d + k = -5*t, b*t + 20 = -0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204436801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*m + 2968 = 20935 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -7 (c) 0.3 (d) -1\/780\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*j - 8*j = -333*j + 31395 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2, 14, 5, -64, 0 in ascending order.\nAnswer: -64, -2, -1, 0, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9536 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 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122 (base 4) in base 15?\nAnswer: 13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 6*w - 5. Let c be a(7). Suppose c*l + 4 = 10. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1274, 855, -5, -1, 0 in descending order.\nAnswer: 855, 0, -1, -5, -1274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 7) + (10179\/130)\/(-29)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(252) - sqrt(252)))**2*4.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504332.1ml to litres.\nAnswer: 504.3321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12284?\nAnswer: 2, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 1, 2\/35, 4193?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -33034?\nAnswer: -33030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 228 + -231 + ((-3)\/1 - 1). Sort -3, w, -5, 6, -4.\nAnswer: w, -5, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/12780 and -43\/21584.\nAnswer: 971280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*1 - (-79 + 86) - -23. Solve -27*z + f + 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 27*v**2 + 31*v + 53. Suppose 0 = -3*a + 2*u - 84, 65*a - 64*a + 28 = -2*u. Determine d(a).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9237.6229978 + -9237.76. Let n = i - -0.137. Round n to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/5*2 + 0. Sort 3, 1, -4, t.\nAnswer: -4, t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:17 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 3. Let g be h(22). Let d(l) = -2*l**2 - 16*l + 6. Let n be d(-9). Let t = n - g. What is the remainder when 205 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:22 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 124?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 67*a**2 + 92*a + 1690. What is s(-68)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2) - (1 + sqrt(50))) + sqrt(4)\/sqrt(2)*-2)**2*4 + (sqrt(126)\/sqrt(36))\/(sqrt(56)\/(2*sqrt(8))).\nAnswer: -1460 - 239*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177 - -179. Let x(o) = o**2 - 4*o + 5. Let j be x(4). Let u(y) = -5*y + j*y**2 - 11*y**r + 1 + 0 + 5 - y**3. Determine u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a0752 (base 14) in base 13?\nAnswer: -3c2160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -89.9. Let v = 0.9 + d. Sort 2, 3, v in ascending order.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00641 to 4 dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2. Let d(f) = 51*f + 1. Determine p(d(u)).\nAnswer: 2601*u**2 + 102*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 156, 315, 462, 591, 696, 771, 810, 807?\n\"Answer: -u**3 + 166*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.57 (b) 9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from {g: 1, f: 2, d: 4, y: 7, h: 3, u: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*m - 270, 0*s = -s - 5*m - 58. Suppose -z - 159 = 3*a, 110*a + 5*z + 132 = 108*a. Which is bigger: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, o: 11}. What is prob of picking 4 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7536 times 15\nAnswer: -113040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-37)\/666)\/(4\/72). Let d = 5.9 + -6. Sort w, -3, d in ascending order.\nAnswer: -3, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 4409408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3780904 and 43?\nAnswer: 3780904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/15 - 52*c\/3 + 1072\/15.\nAnswer: -2*(c - 4)*(c + 134)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89524767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5801743?\nAnswer: 17, 31, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-8)\/g*g*g*g**(-2\/51))**(4\/33) assuming g is positive.\nAnswer: g**(-1028\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 492*c**2 - 8*c + 5. Let y be f(2). Calculate the greatest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 7410.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15*s*s*s*s*(s\/(s*s\/(s*s**27)))\/s*s**1*s*(s*s*s*s**3*s)\/s*s)**3 assuming s is positive.\nAnswer: s**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 t, and 1 u when four letters picked without replacement from uutuguttgtttgt?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157250081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 4, o: 2, q: 1}. What is prob of picking 1 q, 1 e, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81735 is divided by 26661?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 35*g + 84. Let a(w) = -7*w - 17. Let c(q) = -11*a(q) - 2*b(q). Let p be c(-3). What is the units digit of (-90)\/(24\/(-9) - p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + (5 - 2) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1100, -1\/4, -3, 3 in decreasing order.\nAnswer: 3, -1\/4, -3, -1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*k + 961196 = -176*k + z, -8*k - 3*z = -7689603. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:34 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -115014, 4, -0.1, -0.4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let o(d) = d**2 - 3*d + 3. Let h be o(4). Let q = h - 3. What is the remainder when q is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1160\/4109 + -2\/587. Which is the closest to -0.5? (a) 4 (b) 0 (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r + 9. Let w be g(6). Suppose 7*o = w*o + 32. Suppose -5*a = -4*c + c + 51, 5*a + 29 = 2*c. What is the remainder when c is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28846\/719 < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/144 and 85\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14080)\/(-44) + (-4)\/2*1. Let i = -26 + 38. Calculate the greatest common factor of i and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -28. Let h = -0.1 + 0. What is the closest to h in -2\/5, q, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4000\/8 + 70\/(-5). Is b < 1454\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)\/(a**3\/a))**33 assuming a is positive.\nAnswer: a**(-561\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-9 - (-3 + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -32*u + 144. Let i(a) = 1. Let l(s) = -288*i(s) + 2*m(s). Does 16 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, -5, 4, -1, -4 in increasing order.\nAnswer: -5, -4, -1, 4, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4 - 528*p**3 + 9990*p**2 - 45684*p = 0?\nAnswer: -282, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13702507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w - 9. What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3\/4. Sort y, -10, 3\/7.\nAnswer: -10, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 1520626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g - 59. Let w(s) = -38*s - 176. Let v(h) = -2*w(h) + 7*z(h). What is the tens digit of v(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 4. Let d(i) = 2*i + 3. Let o be d(-2). Let s(c) = -1. Let f be (-4)\/(-2 + 1 + 2). Let t(q) = f*s(q) + o*y(q). Let g(r) = -2*r. Give g(t(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-5865)*12*2?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44225442 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3218, 6408, 9592, 12770, 15942, 19108?\nAnswer: 22268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfs when three letters picked without replacement from {v: 2, o: 4, s: 1, f: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -741755?\nAnswer: 74175f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4 - 3. Let y be ((-4)\/(-7))\/((-2)\/q). Suppose -88 = -5*n + y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61631418782788 + 1.\nAnswer: 61631418782789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + 19. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**5 + g**3 - g**2 + 1. Let s(w) = -13*w**5 - 12*w**4 - 9*w**3 + 8*w**2 - 6. Let b = 8 - 9. Let n(h) = b*s(h) - 6*z(h). Factor n(y).\nAnswer: y**2*(y + 1)**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -21\/22 (c) -5 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 a when three letters picked without replacement from xnzaazazawwaunz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -14. Let b(m) = 4*m - 8. What is the smallest common multiple of 6 and b(a)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a33 + -3?\nAnswer: -5a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, d: 7}. What is prob of sequence dj?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 42?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81.9 - 83. Let s = g - -1.4. Which is the nearest to -2\/3? (a) -6 (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -38. Let u = -21 - k. What is the third smallest value in 0.2, u, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2385 - -0.1385. What is the nearest to -1\/4 in 10, u, 1, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2816, -2706, -2596, -2486?\n\"Answer: 110*v - 2926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2521 + -3)*2\/666. Let t = 2\/333 - j. Calculate the common denominator of t and (110\/(-12))\/5 - (16 - 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 502\/6 - 24\/36. Let p = q + -59. Suppose v - 6 = -i + 6*i, v + i - p = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -12\/7, -3\/13, 4\/23 in ascending order.\nAnswer: -12\/7, -3\/13, 4\/23, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503779679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10844*x + 37507*x - 9956*x to y*x + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -105*k**2. Let r(v) = 2*v**2 + 20*v. Give r(d(b)).\nAnswer: 22050*b**4 - 2100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 12*r. What is a(-7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -35*a - 168. Let j be u(-5). Let i(d) = d**3 - 7*d**2 + 6. Calculate i(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -12. Let o = q - 8. Solve -3*l - 2 = -o*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2809903 by 118.\nAnswer: 2809903\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -23708310 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6963, -0.6, -59, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:44 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 8. Let p = -13.2 - t. What is the closest to p in -0.1, 0.4, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2264 in -4, -2, 20\/9, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69262 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*x = -33, z = -3*z + 3*x + 27. Let p = 33 + -30. Suppose -p*a + 3 + z = 0. Put 1, -5, a in decreasing order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/3 + 184\/23 - -3661 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 3*f - 2. Let y(v) = -4*v**2 - 8*v - 5. Let u be (-9)\/(-15)*((-80)\/(-12) - 0). Give u*y(l) - 11*x(l).\nAnswer: -5*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 9. Let o be (30\/z)\/((-1)\/3). Let r(i) = -2*i - 5. Is r(o) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k - 1. Let v(f) = -39*f**2 - 65*f - 65. Calculate -65*m(j) + v(j).\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/112*(-77)\/(-22))\/(1\/((-5)\/230))\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201223 = 3*w + 4*t + 33866, -2*w + t + 111575 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(10)\/(sqrt(16)\/sqrt(8)).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464286 is divided by 232130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24224 divided by 91\nAnswer: -24224\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (25 - (-7 + 14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 3 - ((-807)\/(-269) + 300\/34).\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/2 - 5*q**2\/2 - 50*q + 2. Let l(d) = -2*d. Determine l(w(u)).\nAnswer: 12*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 14 - (1 - (-3 + -1) - (11 - 7)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p\/(p**(-3\/4)\/p))\/p*p))**(-2\/21)\/(p**(2\/63))**(-2\/17))**(-1\/3) assuming p is positive.\nAnswer: p**(-365\/6426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(3\/4)\/(u**(2\/53)\/u**(-6)) assuming u is positive.\nAnswer: u**(-799\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-10.5382.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from jjojojjjojojjjjjjj.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11126291 and 55969?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7)*((-5)\/10 + 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, -1, -3, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5 = 4*k, -42*t - k = -46*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 686?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 12:01 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 619. Is (-30)\/(-20)*j\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 2)**2*-3 + ((-2*sqrt(190))\/sqrt(10))**2 + 3.\nAnswer: -845 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 22*s**2 - 23*s + 30. Let i = -290 - -268. What are the prime factors of w(i)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5817 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 13*i + 22. Determine f(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:45 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 325154*v**2 - 2276095*v + 114. Give p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 4, 15, 34?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 + -28.8. Let w = 24.5 + i. Sort w, -2\/23, 0.2 in descending order.\nAnswer: w, 0.2, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25728?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -123, -15, 0 in descending order.\nAnswer: 0, -4, -15, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 178039.\nAnswer: 9\/178039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 3*j + 4*z, 3*j + z + 4246 - 4179 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 36*k = 240 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - -20.4. Let x = -8.9 + j. Sort 0.3, x, -4, 1\/2 in ascending order.\nAnswer: -4, 0.3, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w\/w**(-2\/71)*w)*w)*w*(w\/((w*w*w*w**8*w)\/w*w))\/w)**(-33) assuming w is positive.\nAnswer: w**(25707\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -2)\/((-3)\/6 + (-18)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-3) + 8094\/171?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(200) - -3*sqrt(200)*2 - sqrt(200))\/(sqrt(324) - 2*sqrt(324)*1)).\nAnswer: -30 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, s: 3, p: 1, m: 1, r: 6, f: 3}. What is prob of sequence sp?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421417 divided by 10.\nAnswer: 421417\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(2\/83)*(d**0)**32*(d**(6\/11)*d\/((d**5*d)\/d))**16 assuming d is positive.\nAnswer: d**(-100939\/1826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -2\/35, -9, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 - 2688d6?\nAnswer: -2688a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(121\/55) - ((-74)\/(-10) - 3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1*-1*sqrt(51))\/(sqrt(9)\/(sqrt(3) + sqrt(6)\/sqrt(2) + sqrt(3))))**2 + (sqrt(153)\/(sqrt(54)\/sqrt(6) + sqrt(9)) - (sqrt(833) + 0))).\nAnswer: -459 + 39*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129365934 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 107. Let m(y) = 2*y**2 + 3*y. Let x(w) = 6*w**2 + 8*w. Determine r*m(z) + 3*x(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20894038 is divided by 4227?\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s. Let x(l) = -7*l + 6. Let a(w) = 20*w - 17. Let p(r) = -6*a(r) - 17*x(r). Calculate b(p(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 13*j**4\/4 + 7*j**3\/3 + 8. Let r(v) = -6*v**3 - 3*v**2. Let c(h) = -5*r(h) - 2*y(h). Factor c(p).\nAnswer: p**2*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u - 236. Let p be v(-24). Suppose -3*x + 4*w + 2885 = 0, -p*x = 5*w - 8*w - 3856. What are the prime factors of x?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501246 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: Let l(i) be the third derivative of -i**7\/2520 + i**6\/120 + i**5\/60 - i**4\/24 + 4*i**2. Let z(k) be the second derivative of l(k). Determine z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/5*-1)\/(1\/(-13))*9450\/4725\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(4 + 12\/2 + -3). Let q = 67 + h. Calculate the remainder when q is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -20. Suppose h*u - 25 = 2*u. Let l(c) = c - 3. Let s be l(8). What is the greatest common divisor of u and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.5, 0.1, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7279 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: Collect the terms in 3415 + 2*z - z + 3441 + 3415 - 10271.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42768 divided by 21384.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 - 15*h + 6. Determine b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (4 - 2)*-1. Suppose -o*u + 16 = -52. What is the remainder when 67 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 7. Let a(d) be the first derivative of 2*d**2 + 8*d - 16. Calculate 5*a(i) + 6*p(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 19 = -5*a, 14 = -4*a + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 10032122111?\nAnswer: 10032122103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + r + 174*r**2 + 38*r**2 - 31*r**2.\nAnswer: 181*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/24 - (-127)\/4. Let i = s - 17. Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -56104859?\nAnswer: 56104860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10907.\nAnswer: 13, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (0 + 48*40)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-27)\/(-30))*((-81252)\/555)\/(-122)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -41. Suppose -q*t - 6 + 18 = 0, 2*o = -3*t + 111. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2289151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1f1?\nAnswer: -1f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 563\/16 - 1601\/48. Which is the closest to -1? (a) h (b) -0.4 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 18*x - 27. Let y be d(-14). Suppose 4420 = y*l - 12*l. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:33 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfmv when four letters picked without replacement from vfmmmvm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 106. Let p = h - 84.53. Round p to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289\/306 - (6 - 250\/45)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 298*q - 485. What is c(4)?\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.59 - -0.09. Which is the nearest to 3\/5? (a) u (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2, -5, -9\/2 in descending order.\nAnswer: 4, 2, -2, -9\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3943194529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4207.2 - 4207. Which is the nearest to 6? (a) -4 (b) t (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 54 = 90. Calculate the greatest common divisor of 168 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -273*x**6\/5 - 887*x**3\/3 - x - 59. Find the second derivative of p(f) wrt f.\nAnswer: -19656*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = 3*f, -2*x - 251 + 259 = -3*f. Solve f = -2*d + 59*d - 171 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 47*q - 13472 = 0. Calculate the remainder when q is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 8. Calculate w(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-41013)\/11284 + 9\/(-78). Suppose -2*a - 5*d + 34 = 0, 0 = 2*a + 2*d - 0*d - 22. Let h = a + -10. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.88792 from 2456.316.\nAnswer: 2455.42808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297707*l**3 - 1220*l**2 + l - 71?\nAnswer: -1786242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11 or -1280?\nAnswer: -1280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5616954*f**2 - 16441*f + 2.\nAnswer: -11233908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4763412 to the power of 1\/2, to the nearest integer?\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1391*n = -1396*n + 5, -12 = -4*f - 4*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -679442115 divided by -20589155?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 20. Let h(t) = t**2 - 5*t + 5. What is the lowest common multiple of -1 + (0 - 1 - -6) and h(c)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-5))\/((-9)\/135*6). Suppose -2017189 + 709189 = x*n. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-5)\/10). Let z = w + 5. Let a be (0*(-3)\/(-9))\/1. Sort z, -4, a.\nAnswer: -4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 537*t**7\/14 - t**5\/60 + 397*t**3\/2 - 17*t**2 - 282*t. What is the third derivative of z(y) wrt y?\nAnswer: 193320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -54 + 56 + 6*n**2 + 7*n**3 - 2*n - n + 4*n. Let d(q) = -20*q**3 - 17*q**2 - 3*q - 6. Let p = -22 - -5. Calculate p*g(i) - 6*d(i).\nAnswer: i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**4 + 22*z**3 + 39*z**2 - 90*z - 232. Let p(l) = -3*l**4 + l**3 + 8. Let o(c) = b(c) + 2*p(c). Find v, given that o(v) = 0.\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*i + 148. Suppose m - 42 = -5*j + 60, -j + 18 = -m. What is the remainder when i is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-184))\/(11\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2247\/8 in -3, 0.1, 0.3, 0.227, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.1 + -0.1. Which is the closest to -1? (a) d (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4303, -4086, -3865, -3640, -3411, -3178, -2941?\nAnswer: -2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 80.8007 years?\nAnswer: 8.08007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 581.\nAnswer: -174.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*k**2 - 12*k**3 + 101*k**2 + 10*k**3)*(2*k + 0*k - 4*k) to v*k + g + t*k**3 + p*k**4 + u*k**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 4*j - 1. Suppose 20 = -19*n + 14*n. Let p(v) = v**2 + v. Calculate n*p(l) + u(l).\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-117)\/(-6)*(-1)\/((-18)\/204)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 39413 + 107682 = g, -294154 = -2*g - 3*u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87149*l + 87139*l + 3*h - h - 130 = 0, 65 = -5*l - 5*h for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 20 = 3*a, 4*w - 10 = 5*a + 6*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48.4 + 0.4. Let q = -50.02 - v. Let m = 0.02 + q. Which is the nearest to m? (a) 5 (b) -3\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3949, -3958, -3977, -4012, -4069?\n\"Answer: -x**3 + x**2 - 5*x - 3944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3485, -3, -35, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13489*o**2 - 270*o + 13482*o**2 + 835*o - 26970*o**2 to the form j + b*o**2 + a*o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*j**2 + 2*j**3 - 572*j - 1 + 182*j + 189*j + 175*j as h*j**2 + b + d*j + r*j**3 and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27886 is divided by 14\/(4*(-140)\/(-320))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -793ab6 (base 15) in base 4?\nAnswer: -112010003310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 13, -12, -11 in descending order.\nAnswer: 13, 0, -1, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 18*f**2 + 20*f + 28. Let a be t(-19). Let u = a + 11. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558519310 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570\/20*240\/(-72).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3813*s + 102886. Calculate c(27).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 - 2 = 0. Suppose -u = t + 3*k - 13, 4*t - 4*k + 8 = 0. Suppose -h + 5*r + 36 = 0, 2*h + t = -5*r - 2. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + 14. Suppose c*k + 5 = 85. Suppose 3*l + 0*l = 12. Solve b + 2 = -h, -l*b - k = -b + 5*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:17 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/3 - 10*b**3 + 28*b**2 + 320*b\/3 - 256.\nAnswer: 2*(b - 8)**2*(b - 2)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010000011011011011 (base 2) in base 10?\nAnswer: -2426587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -1. Let l(s) = 2*s**3 + 23*s**2 + 13*s - 4. Let z(o) = o**3 + 11*o**2 + 6*o - 2. Let w(a) = -6*l(a) + 13*z(a). List the prime factors of w(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-268660)\/(-143925)*((-3)\/18)\/((48\/(-81))\/(-4))\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 + 128 = -45*q - 65 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -2571*((-66)\/18)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 231, 925, 2083, 3705, 5791?\n\"Answer: 232*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/3 + 2*i. Let w(z) be the second derivative of -z + 1\/2*z**3 + 0*z**2 + 0. Determine w(g(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -99. Let r(j) = 3*j**2 - 9*j - 8. Let o(w) = -7*w**2 + 18*w + 17. Let x(i) = a*r(i) - 4*o(i). Calculate x(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -574*o + 2905. Let t be u(5). Let h be (-2)\/(-6)*3\/(-2). Put 0.4, h, t in descending order.\nAnswer: t, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5983012 and 506324.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2278309 and 37658.\nAnswer: 4556618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 486503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 3*f**2 - f**2)*(2*f + 3*f - 4*f) + (-4*f**2 + 2*f**2 + 0*f**2)*(-41*f + 159 - 159).\nAnswer: 86*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 436*n**3 - 3*n**2 + 24. Let s(b) = 435*b**3 - 4*b**2 + 32. Calculate -3*s(w) + 4*y(w).\nAnswer: 439*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m + 14*m + 106. Calculate the remainder when m is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*x + 34266 + 30106. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12528 and 3628422.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 52643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + h**3 + 12 + 2*h - 4*h**3 + 3*h - 3*h + (0*h**2 - 2*h**2 + 4*h**2)*(-1 + 1 + 2*h) - 4*h**3 + 2*h**3 + 3*h**3.\nAnswer: 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*f - 3*f = -9, 0 = -3*d - 2*f + 15. Suppose z + 5*u + 0*u = -10, 0 = -3*z + u + 2. Solve -d*r - 6 = -z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3305 + -544. Suppose -4*r - 4*d = -3896, -2*d + u + 1127 = 4*r. Suppose r = 3*p + 4*i, -2*p - 2*i + 647 = i. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + j + 1 = 5, -5*h + 20 = 5*j. Suppose h = -i - 3*c + 26, 26 - 79 = -4*i + 5*c. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -10?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 151 - 3*a + 150 + 118 - 12. Is o(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyiuyyuziiyyyy. Give prob of sequence ii.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 5*u**2 + 23*u + 64. What is the hundreds digit of a(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*c - 2 + 17, -5*c = -4*t + 12. Let o(l) = -3*l - 15 + 15 - 9*l**2 + 2*l**t - 10 + 11*l. Let u be o(4). Solve -u*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 92, -1, 2 in ascending order.\nAnswer: -1, 2, 20, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0 + 0 - 2)*(5*l - 10*l + 6*l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/419, -2, 3, 2, 5\/3 in ascending order.\nAnswer: -2, -2\/419, 5\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -439062, -878125, -1317188, -1756251, -2195314, -2634377?\n\"Answer: -439063*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -719620 divided by 143924.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 2 - 0, 5*g + 29 = -4*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*m**2 + 20*m**3 + 37*m**3 + 20*m**3 - 81*m**3 to z + p*m + q*m**3 + w*m**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.041364 rounded to one dp?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, 660, -0.1 in descending order.\nAnswer: 660, 26, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 49, 67?\n\"Answer: 18*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193652009\/60 + -3227694. Let h = q + 778\/5. Calculate the common denominator of 73\/4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9367 is divided by 199.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. Let u = 4.97 + 0.03. Let r = 58 + -56. Which is the nearest to 2\/3? (a) u (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112 and -0.3.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1158951\/212 + (-26)\/(-8) + -2. Let b = -2835 + z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1232*z**2 - 26*z - 1 - 221*z**3 - 3721*z**2 + 1242*z**2 + 1247*z**2 to the form s*z**2 + a*z**3 + m*z + i and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*8\/4. What is the third derivative of -p**6 + z*p**6 + 2*p**2 - p**2 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:30 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 544044241 (base 6) to base 3\nAnswer: 200021100102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - a - 8. Let r be p(-8). Suppose 44 + 21 = u - g, 4*u - 2*g - r = 0. Find the common denominator of (-14)\/u - (-30)\/4 and -73\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 9*t - 3. Let f(v) = -v**3 - v + 2*v + 7 + 2*v**3. Let o be f(0). What are the prime factors of g(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*d + 581 - 1067 + 581 + 471*d.\nAnswer: -d + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 3*b**2 + 4*b\/3 + 12.\nAnswer: -(b - 2)*(b + 2)*(b + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:59 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**2*p**2 + 821*j**2 + 2*j*p**2 - 62*j*p - 20*p**2 + p wrt j.\nAnswer: 8*p**2 + 1642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 719013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8389 is divided by 1522.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**5\/4 - 8395*g**4\/4 - 86415*g**3\/4 + 781075*g**2\/4 - 343125*g\/2 = 0 for g.\nAnswer: -549, -50\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**3 - f**2 - 6*f - 1. Let t(b) = b**3 - b**2 - 2*b - 1. Let w(g) = -m(g) + 5*t(g). Give w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 2.5 (b) 4 (c) 2 (d) 1 (e) 3\/14 (f) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -f - 8*d + 6, 2*f = 5*d + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/12 - 2*v**3\/3 + 4*v**2 + 1. What is u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127197 and 93320199.\nAnswer: 279960597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.3 + 18. Which is the second biggest value? (a) h (b) 1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 + -109.5. Let f = j + -40. Round f to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 4 - l + l. Let h(d) = 12*d - 15. Give 15*g(f) + 4*h(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(176) + -4*sqrt(44))**2*3*4.\nAnswer: 103488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 6) to base 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 4, 0.1, 0.66?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -196435\/538 and -365 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 3:41 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 - 10*i + 4. Let g(k) = 4*k**2 + 11*k - 5. Let l(t) = -4*g(t) - 3*s(t). What is the units digit of l(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 27192777*q**2. Let j(u) = u. Give j(z(d)).\nAnswer: 27192777*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 23 = 4*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 21. Let q(k) be the first derivative of -k**3\/3 - k**2\/2 + 2*k + 4. Determine q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(11) - (sqrt(55) - sqrt(880))\/sqrt(5).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 8, s: 9}. Give prob of picking 1 m and 2 c.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10552359 and 612.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -59. Suppose 2*t - 44 = t. Suppose 2*s + 4*w - t = -2*s, 3*w + 3 = s. What is the highest common factor of s and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 3, l: 4, a: 1, h: 1}. Give prob of picking 2 b and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5*i**4\/24 - 5*i**3\/6 - 4*i**2. Let r be h(5). Suppose -2*v + r = 4. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.93 - 159.73. Round h to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4585 and -49.\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 140.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -160. What is the least common multiple of h and 53?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 47, 0.1 in descending order.\nAnswer: 47, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 + 7\/42*7\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21511 - -21929. Calculate the remainder when r is divided by 231.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 2*a + 3*a + a - 2 + 2 + (4*a - 5*a + 2*a)*(6 - 1 - 4) - 2*a + a - 2*a - 5*a + 3*a + 4*a - 932*a + 1 - 1 + 984*a.\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3890 is divided by 1289.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66\/(-4)*(-2256 - -119 - 1\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*b**4 - 13107*b wrt b?\nAnswer: -2028*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8776369 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - d - 2. Let q be j(6). Let h = 25 + q. Suppose -z + 2*p = -h, z - 53 = p - 2*p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -876, 3, 1 in descending order.\nAnswer: 3, 1, 0, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 + 12*c - 4*c**2 + 2*c - 254 + 253 - c**3 + 10*c**2 as o*c**3 + u + k*c**2 + q*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from ewwehdeweme?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 - -2.1. What is the third smallest value in u, -4, -3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4366 and -26429.\nAnswer: -11538.9014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4767 - -3.\nAnswer: 3.4767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 9.89326.\nAnswer: 6.89326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + -8 + -21 + (10 - 0) + -45\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g*g\/(g\/(g\/(g\/(g*g\/(g*(g*g\/g**(2\/5))\/g)*g))))))\/g)*g**(-2\/35))**(-36) assuming g is positive.\nAnswer: g**(-4212\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 11224.\nAnswer: 11225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a**2. Let s(i) be the third derivative of -1 + 0*i**3 + 0*i + 0*i**4 + i**2 - 19\/60*i**5. Determine s(j(f)).\nAnswer: -1216*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, 66, 228, 466, 774, 1146, 1576, 2058?\n\"Answer: -s**3 + 47*s**2 - 54*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 83*o - 14. List the prime factors of q(17).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooovvvvosobvkvobv. Give prob of sequence ksb.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*k + 7*s + 7, 3*k - s = 4. Let d(u) = 3*u - 1. Let g be d(k). Suppose -5*h - 5*b = -170, 5*h - 3*b + g*b = 152. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.90398 + -0.50398. Let i = -1.98 + -0.02. Which is the nearest to 6? (a) i (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550253345 (base 6) to base 16\nAnswer: -95d9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1214*i - 1267*i - 4*i**2 + 2*i**2)*(-7 - 4 + 2) as w*i**2 + l*i + n and give l.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*o - 5*r, 3*r - 4421 + 4415 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 4)*(18169*t - 18356*t - 42557*t - 12262*t) as b + z*t and give z.\nAnswer: -220024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q + 19*q**2 + q**6 + 3*q - q**2 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a3685b + -14?\nAnswer: a36847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Suppose 4*n = -y*n + 1016. List the prime factors of n.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158758, -1\/2, -3\/14 in descending order.\nAnswer: 158758, -3\/14, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*c - 5, -2*c + 18 = 4*y. Suppose -4 = n - y*n. Let k = 5 - n. Sort k, 5, -5 in descending order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o - 41*o = -i - 24, -18 = 2*o + 2*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61b (base 12) in base 5?\nAnswer: 12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 5*w - 6. Let f be (-2)\/(-6) - 10\/(-6). Let v(o) = -o**3 + 3*o**2 + 3*o + 1. Let y be v(-2). Suppose -f*b = b + y. Give l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*t + 4 = 689*t, 0 = -3*j - 5*t - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 2055.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119.1 + -113. Let b = 5.12 - y. Round b to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m*m*m\/((m**22*m)\/m) assuming m is positive.\nAnswer: m**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 8237.7\nAnswer: -4118.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1347 + -833. Suppose 0 = 4*t - 5*u - 407, 13*t - 8*t = u + n. List the prime factors of t.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/5)\/(3\/(-10)). Suppose -3*m - 80 = -y*m - h, 0 = 5*m + 4*h - 95. Calculate the highest common divisor of m and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1246 = -5*p - 412, 2515 = 3*f + 2*p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 2*l. Let g be k(-5). What is the biggest value in 0.4, 1, g, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 220.1.\nAnswer: 220.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 24*s**2 + 156. Calculate k(0).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 16 = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*h - 1529 - 291 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 86 = 8*x. Suppose 4*q - 3*q - x = 0. Suppose 16*s - 15 = q*s. Solve -n = 2*p - s*n + 10, 4*p = -5*n + 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y - 65704 = -3*j, j - y - 21896 = 0. What is j rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*r + 33952, -3*r + 2946 = -k + 11406. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -77. Which is the second biggest value? (a) l (b) -0.3 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and 0.13103317.\nAnswer: 0.10103317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*n - 5*a, 3*n + 6 = -2*a + 5*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-8) - -1) + 16\/64?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + (-42)\/(-9). Let p(w) = w - 2 + 2 - 2. Calculate the least common multiple of 4 and p(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.16 (b) -2\/9 (c) 20 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 z when four letters picked without replacement from hhhrzrrhrhhhhrz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3534 (base 10) to base 3\nAnswer: -11211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 3, 2\/7, -4, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/5)\/((-13)\/6565) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = m + 2*m - 15, 5*u - 15 = m. Suppose m = 5*k - 13 - 12. Solve r - 4*r + k*w = 10, 2*w = 3*r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tevetqtvecttzvzvct. What is prob of picking 2 v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 147 = -2*m. Let l = m + -25. Let f(d) = 3*d**2 + 5*d - 5. What is the units digit of f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -12*a**2 + 4848*a - 293031. What is o(330)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1674*c**3 - 80*c**2. Let q(w) = 343168*w**3 + 16384*w**2. Give -1024*a(x) - 5*q(x).\nAnswer: -1664*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:09 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.935 + -0.065. Let h = f - -33. Let d = h - 6.3. What is d rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/(-116)*12)\/((-20)\/(-2)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let a(x) be the second derivative of -23*x**3\/3 - 34*x. Determine m(a(d)).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1134021 (base 8) to base 9\nAnswer: 521207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -983824, -1967647, -2951466, -3935281, -4919092?\n\"Answer: 2*r**2 - 983829*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -321*b**2 + 3253 - 3253 - 3*b + 3*b + b**2 + (-4*b + 0*b + 2*b)*(0*b + 4*b - 5*b).\nAnswer: -318*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwpw when four letters picked without replacement from {w: 5, p: 7}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.752834 minutes?\nAnswer: 465.17004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -3152\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-11 - -9 - (-3 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 14\/107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1474.3 in -3, -0.5, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0 + 396\/24 + -15)*1368. Put 0, 5, u in increasing order.\nAnswer: 0, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*s - 112225 = a, 4*a + 3*s = 149585. Suppose a = 5*r - 3*r. Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-10)\/4 + 2). Let j(h) = -h**3 - h**2 + 1. Let k be j(r). Suppose 2*p = k + 31. What is the lowest common multiple of 22 and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p - 1. Suppose -2*h = -p*n + 6, 2*n + 3*n = -h - 3. Solve n*r - 5 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (0 + sqrt(567)))**2 + -3)*6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 450*v - 12120. Let o be d(27). What is the highest common factor of o and 3195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -21 - (-1 - (-1 - (9 + -2)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -783 and -0.5.\nAnswer: 391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 46, 188, 472, 946, 1658, 2656?\nAnswer: 3988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, -2, -10 in ascending order.\nAnswer: -10, -2, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 0.4 (c) -0.252 (d) -14845\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**3\/2 + 5*w**2\/2 + 102*w. Let n be 2*(-13 - (-161)\/14). Give s(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1411 + 120?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g + 1. Suppose y - 13 = 5*u - 3, 2*u = -2*y - 4. Let z be r(u). Solve -z*i = -0*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.253 - -0.047. Which is the nearest to 1? (a) d (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z = -91*z - 64 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262 - -264. Solve -2*n = -2, -7*p - 4*n = -f*p - 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 - 6\/5*h - 9\/10*h**4 + 23\/10*h**2 + 1\/5*h**5 + 2\/5*h**3 = 0. Calculate h.\nAnswer: -1, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008463339813 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111011 + 10001101100111010?\nAnswer: 10001110011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = a + 1, a + 5 = -4*u + 4. Calculate the remainder when 3 + 17 + a + -2 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 506247056 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 86310?\nAnswer: 863100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037985827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = y - 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2) + sqrt(22)\/sqrt(275)) + -1)**2 - 6*(2*2*sqrt(98))**2.\nAnswer: -234527\/25 - 36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.44804 rounded to one decimal place?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/31))**30*((a*a**(1\/6)*a)\/a*a*a)**50 assuming a is positive.\nAnswer: a**(17695\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253702.\nAnswer: 2, 126851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 166, -61149, -23 in descending order.\nAnswer: 166, -23, -61149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/448 - 11643\/(-24). Put -3, w, -5 in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 29*q + 55 = -12, -3*q + 6*q - 6 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1011011?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 36*m + 43. Let v be u(-17). Solve -v = -2*f - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k = 20. Solve -2*t - 4*w = -8, -4*t - 2*w - w = k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/8)\/(195\/(-104)). Which is the closest to -1? (a) 0.4 (b) w (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-40 + 9 + 60).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2494632 and 20?\nAnswer: 12473160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + -2 + -12 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1.407, 2, 0.1, 802, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**7\/840 + t**6\/40 + 9*t**5\/40 - t**4\/12 - t. Let h(z) be the third derivative of b(z). What is v in h(v) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13642, -5, 4, 5, -0.2, -9\/7, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-9 - -10) - -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395 + -207. What are the prime factors of a?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276561657.\nAnswer: 3, 30729073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506 + -206. Let b be i\/(-28) - 4\/14. Let v = -19 - b. Let n(u) = 11*u - 6. Let c(a) = -4*a + 2. Calculate v*c(d) - 3*n(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 15 = 3*p, 4*j - p - 10 + 2 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 33352?\nAnswer: 2801568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1428223.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 217\/6. Let c = -85 - -86. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66.86 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/3 + 98*v**3\/3 + 94*v**2\/3 - 98*v\/3 - 32 = 0.\nAnswer: -48, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u + 1 + 7 - 2085*u**2 + 2097*u**2 wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 + 0 - 2*h**2 + 1 + (-14 + 0 - 3)*(2*h**2 - 4*h + 4*h) - 3*h**2 - 2*h**2 + 3*h**2 to the form b*h**2 + i + d*h and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.028 - -36. Let x = 0.028042 + c. Round x to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:58 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-3 - (0 + -4))\/(-2). Let u be (1\/k)\/((-8)\/960). Suppose -5*p = -195 + u. What is the remainder when p is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((sqrt(432)\/(sqrt(36)\/sqrt(3)))\/sqrt(2) - ((-3*sqrt(252))\/sqrt(7))\/sqrt(2)))**2.\nAnswer: -912 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 20*n. Let m(y) = -88*y**2. What is f(m(h))?\nAnswer: 7744*h**4 - 1760*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -15*z + 14*z. Let n(k) = -4 - z*k + 6*k - 9*k. Let i be n(-18). What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 32, 3\/2, -8, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30130747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -29*(-3)\/(-5 - -8). Suppose -5*y + a = 3*i, -2*y = -5*i + 141 - 41. Let g be 35\/15 - (-12)\/i. Solve -g = 4*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08257994 + 127.35316006. Let r = 127.4 - b. Let s = -0.034 - r. What is s rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - s + 7*s + (-2*s + 2 - 2)*(-3 + 2 + 2) + 4*s + s + 0*s)*(-2*s**2 + 2*s - 2*s) to q*s**3 + z + o*s**2 + y*s and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**4 + 22*c**4 - 3*c**3 + c**3 - 2*c**2 + 0*c**3 + 2*c to u*c**2 + s + m*c + y*c**3 + d*c**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -135*t - 72. Let a(z) = 68*z + 35. Let n(d) = -5*a(d) - 2*v(d). What is the derivative of n(g) wrt g?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/13 - 22680*i**2\/13 - 226650*i\/13 - 566500\/13 = 0?\nAnswer: -11330, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/31? (a) 0 (b) 1\/5 (c) -2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 2 k when four letters picked without replacement from {q: 5, k: 2, r: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -23. Find the common denominator of 36\/7 and -2*w\/36 + 2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.4. Suppose -8 = -p + 3*p. Which is the second biggest value? (a) p (b) r (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (2 - -18) - 14?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000904 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.1 and 2\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {u: 4, a: 4, p: 3, b: 8}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - l + 15034. Give c(123).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/41 (b) -1\/4 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4296\/240 + 4\/(-10))*(12 + 1956\/(-168)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d + 12*d**2 - 2*d - 8*d - 3*d wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 15*q**2 - 8*q - 10. Let w be r(10). What is w rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = -44. Suppose g*z - 10 = 3*z. Solve -z*t = t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {b: 1, y: 2, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93491*l**2*y - l*y - 24526*y wrt l?\nAnswer: -186982*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 divided by -3719?\nAnswer: -376\/3719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46074 + -46075. Let t = -0.3 - -0.4. What is the closest to -2\/3 in t, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*o, -5*r + o + 13 + 0 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 - -356. Let l = x - 123.5. Let b = -0.1 - -0.2. Put l, b, 3 in descending order.\nAnswer: 3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x + 2*x = -21*x - 1485 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 265*m - 1319. Let g be n(5). Solve -g - 2 = c - 4*o, 3*o = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -1.42\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61311433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*w**2 - 40*w**2 - 40*w**2 - 8*w**2 - 4*w**3.\nAnswer: -4*w**3 + 27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -7 - 5. Let h be (4 - 2)\/(b + 5). Let r = 0 + 2. Solve r*w + 3 = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67010215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 23*r**5\/60 - r**3\/3 - 117*r**2. Let s be (2 - 1 - 3) + -1. Is j(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(6\/19)*y\/y**(2\/33))\/(y*y**(2\/69)*y**(2\/13)*y) assuming y is positive.\nAnswer: y**(-104840\/187473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:42 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 7 = 6*y - 2*y, 2*v + 52*y = -113 + 315 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g + 105. Determine t(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1\/3*w**3 + 0 + 4*w + w**2. What is the derivative of j(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 16348*j\/5 + 33407138\/5.\nAnswer: 2*(j + 4087)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43c + -644?\nAnswer: -a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2904.26 and -3.\nAnswer: -8712.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a + 20. Suppose -4*l - 50 + 170 = 0. Suppose 4*i - l - 70 = 0. Calculate the greatest common factor of i and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415178 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125216565 is divided by 1608.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -719 - -697. Let o be (-1)\/(-5) + ((-7524)\/90)\/u. Solve -5 = -t - 2*c, -c + 1 = -o*t - 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12808*j - 12803*j = 3*k - 50, -10 = j + k for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-40)*(10 - 5). Sort -1, r, -69.\nAnswer: -69, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 15*s - 22. Let z be p(-5). Which is the smallest value? (a) z (b) -4 (c) -0.8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100354 and 39?\nAnswer: 3913806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waa when three letters picked without replacement from {w: 3, a: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkiqkqiekeeekweqe. What is prob of sequence ek?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*r = -186, 5*c - 158 = 3*r + 153. Let f(b) = -16*b - 64. Let j be f(-11). What is the greatest common factor of j and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-952)\/24)\/(-7))\/((-8)\/24).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6168 = -95*d - 2463 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -102927, -3, -2, -18.\nAnswer: -102927, -18, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46024*o + 2349 = 46105*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 + -306. Suppose y + 3*g + 4 = v, 3*g = 0. Let l(m) = -3*m**2 + 5*m - 4. Determine l(y).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*(-155668)\/(-30))\/(12\/(-210)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1969? (a) 151 (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r = -42*r + 89262000. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23173*s**3*v + 2*s**3 + s**2*v + 386*s**2 + 9*s*v + 7*v wrt s?\nAnswer: -139038*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 899 and 4896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -139, -217, -293, -367, -439, -509?\n\"Answer: q**2 - 83*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/10)\/(p\/p**(2\/3)))**(-15))**(3\/16) assuming p is positive.\nAnswer: p**(21\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -28*a**2 + 22*a + 242. Let i(x) = 4*x**2 - 3*x - 33. Let j(t) = -22*i(t) - 3*y(t). Let d(f) = -6*f**2 - 15. Calculate j(d(n)).\nAnswer: -144*n**4 - 720*n**2 - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3*u*y**3 + 6*k**3*y + 2*k**3 + u*y**3 - 977*u*y - 2*y**3 wrt u?\nAnswer: 2*k**3*y**3 + y**3 - 977*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112 - -12201120?\nAnswer: 12121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + u - 5. Let w be f(-6). List the prime factors of (-1)\/(-5) + w\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21250 (base 6) to base 11\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 less than -5?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84389 + 133091 = -2729*q - 297881 for q.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26049.\nAnswer: 3, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 6*u + 3. Let i be j(2). Let m = i + 9. Suppose -5*o - m*l = -2*o + 14, -2*o - 3*l - 11 = 0. Solve -3*n - o*n + 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 298?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1082258, 1082268, 1082278?\nAnswer: 1082288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2) + (sqrt(2) - -2*(-1 + sqrt(2))).\nAnswer: -7 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 162*f + 316.\nAnswer: 2*(f - 79)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 175*t - 93*t + 15*t**2 - 9*t**2 + 6*t**3 - 82*t to the form a*t**3 + r*t + k*t**2 + p and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*y + 95 - 134, -4*u + 4*y + 76 = 0 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 + 2*k. Let i be x(-2). Let h(o) = -5 + 5*o**3 - i*o**2 + 0*o**2 - 4*o**3. Give h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {s: 2, j: 4, z: 6}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaadxdaawaaddx. Give prob of picking 2 d.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 330 = -5*k + 55, -v + 8*k + 69 = 0. Put v, 7, 3, -1 in decreasing order.\nAnswer: v, 7, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {x: 4, m: 10, a: 5}.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b + 40 = 0. Suppose -42*n + 51*n = 72. What is the least common multiple of b and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -17, 0.3, 1\/5 in ascending order.\nAnswer: -64, -17, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -8 + -8)*(-2)\/20\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12a (base 14) to base 13\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*s**2 - 25*s**2 + 123*s**2)*(-3*s + 2*s + 2*s) to q*s**3 + d*s**2 + h + l*s and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/65)*i*i**(-22))**(-21) assuming i is positive.\nAnswer: i**(28707\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2100120000112022?\nAnswer: 2100120000112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1206986 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 9. Let s = 17 + y. Solve -5*i - 11 = 4*j, 3*j + 2*i + 10 = -s*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m. Suppose m = -i - 0 + 2. Suppose 0 = -4*t - 534*o + 537*o + 19, 20 = -5*t - 5*o. Solve -f = -i - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 2.3\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 506014.2306.\nAnswer: -506013.8306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12616 and 2324?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -288*m**3 - 3*m**2 + 90*m + 567. What is the hundreds digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (24 - (-1936)\/(-32))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2748*a - 2749*a - 20, -2*a - 4 = 2*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = k - 4*t, -4*k + 2*t + 95 = 3*t. Suppose -13 = -3*a + 2*d, -4*a + 0*d - 4*d + k = 0. Suppose 138 = a*p - 42. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3370*y**3 - 4*y**2 + 3047*y**3 + 3*y**2.\nAnswer: -323*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1 = -w + 4*o, 3*w - 4*o + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789285.\nAnswer: 5, 557857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3590, -7157, -10724?\nAnswer: -14291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 16 = -4*v, -6*v - 1 - 3 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5323714 - 5323702 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156341027 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (-6*-2*sqrt(13) - sqrt(13)) + sqrt(104)\/(sqrt(8)*-1))**2.\nAnswer: -3912 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, a: 2, t: 4}. What is prob of picking 3 h?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 2. Let m be u(-12). Let v = 27 + m. Let z(d) = 5*d**2 + 7*d - 2. Let y be z(-6). Calculate the greatest common divisor of y and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82.5 - -82. Let n = -0.26 - -0.06. Which is the second biggest value? (a) q (b) n (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 22*s**2 + s - 9. Let c be g(-11). Let w be (110\/c - -8) + -2. Solve 1\/2 - k + w*k**2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1257, 5118, 11563, 20604, 32253, 46522, 63423, 82968?\n\"Answer: 2*o**3 + 1280*o**2 + 7*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001990065678 rounded to seven decimal places?\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5492 divide 1372066925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -0.22. Let q = 0.9 - 3.4. Let b = q + 3. Sort b, s, -0.2.\nAnswer: -0.2, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -311 and -25?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*i = 14474, -7*o - 7209 = -8*o - 5*i. Suppose 150*g - 153*g + 5418 = -5*q, -5*q - o = -4*g. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -3\/2 (b) 0.2 (c) -1.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 609*(-2 + (-28)\/(-12)). Suppose -c - 77 = -k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 670\/11, -5, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 360\/(-3 - -39).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3, -1 = -2*o - n. Let t = o - 0. Is (-2)\/6*(t - 39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/5 + 6*b**3\/5 - 24*b**2\/5 - 54*b\/5 - 27\/5.\nAnswer: 3*(b - 3)*(b + 1)**2*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 100 and -11390.4.\nAnswer: -11290.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + 186. Let o = j + -226.8. What is the second smallest value in o, -0.5, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:42 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.02, -30\/7, -5, -4\/103, -5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, n: 5, h: 1, i: 7, q: 1, z: 2}. Give prob of picking 1 h, 1 j, and 2 i.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4, 0 = 4*l - 2*f + 4*f - 114. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498008 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254572193.\nAnswer: 254572193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 511152968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - -14. Suppose 76 = x - s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 101*j + 1443 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by -43\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u**2 - 14*u + 20. Let t be k(14). Suppose -a + v = a - 3386, -4*v = 5*a - 8465. Let b = t - a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810005 is divided by 116.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/307 - -935\/2149. Let p = 17 - 16.8. Which is the nearest to 0? (a) s (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**6\/1260 + r**5\/140 + r**4\/42 - r**3 - 3. Let g(u) be the third derivative of l(u). Suppose g(q) = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 + -3) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:53 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5, -3, 627, 1.\nAnswer: -5, -3, -1, 1, 4, 627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*s**2 + 48460*s + 220800.\nAnswer: 5*(s + 1380)*(7*s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 33*g**2 - 31*g**2 - 8 + 12 - 4.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 212387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -642561288, -1285122574, -1927683858, -2570245140, -3212806420, -3855367698, -4497928974?\n\"Answer: n**2 - 642561289*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -596*-0.4\nAnswer: 238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -713 + 1262. Find the third derivative of 0*d**5 + p*d**2 - 585*d**2 - 29*d**5 wrt d.\nAnswer: -1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -481*x**2. Let a(q) = 3*q**2 + 8*q. Let z(f) = -f**2 - 2*f. Let t(s) = -a(s) - 4*z(s). Give t(c(r)).\nAnswer: 231361*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 2, z: 3, i: 2, e: 1, g: 3}. What is prob of sequence ari?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/288 and 5\/88?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**2 + 3*z**2 - 14*z**3 - 2*z**2 - 5*z**2 wrt z?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 + 14*z + 42. Is w(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.3 (b) -4\/7 (c) 0.03 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*v + 697, 137 = q - 6*v + 3*v. Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*j + 2*j - 6067 = 0, 5*r - 3*j - 30322 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19704.3943 rounded to the nearest ten?\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 454.6305km?\nAnswer: 454630500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(13) - (sqrt(13) + -5 + sqrt(13)*-1))**2 + 1)*-6.\nAnswer: -231 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8459628*t**4\/5 - 242073681*t**3\/5 - 32741676*t**2\/5 - 1473072*t\/5 - 4416 = 0. What is t?\nAnswer: -4\/89, 115\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3 = -l. Suppose l*g = -2*h + 31, 3*h + 1 = -4*g + 42. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -5 + 9 + (9 - 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 3 = 11*k. Let h = -125 + -43. Let p be ((-16)\/h)\/(k\/6). Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 56*c + 30. Give p(-30).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1576 is divided by 384.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1968 = -4*h + 1956 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**4*v + 3*o**3*v - 6*o**2*v + 2*v + 2 wrt o.\nAnswer: -96*o*v + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3350)\/50 + 72)*(-1)\/(-75)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3*7*(-27)\/(-1638))\/(131\/2358)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157.884 - 156.4. What is v rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 386, 1035, 1946, 3113?\n\"Answer: -h**3 + 140*h**2 - 32*h - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**4 + 0*l**3 + 0*l**3 + (-33 + 5*l**2 + 33)*(2*l**2 - 4 + 4) - 5*l + 5*l - l - 2*l**4)*(-3 + 4 - 3).\nAnswer: -26*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2218214.\nAnswer: 17745712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8. Let j = 4478 - 4479. Which is the smallest value? (a) 8\/5 (b) j (c) z (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(2\/3))**50)**(-40))**29)**(-4) assuming c is positive.\nAnswer: c**(1160000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.6, 5, -1237, -5\/2, -2\/3 in descending order.\nAnswer: 5, 3, -0.6, -2\/3, -5\/2, -1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 42, 60, 96, 156, 246, 372?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, 982, 2406, 3830, 5254?\nAnswer: 6678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -46*p + 331. What is i(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -31 + (-7 - 17 - -16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641551 at least 641554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80875.1713 - 80871. Round s to 2 decimal places.\nAnswer: 4.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 115600554?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -2\/23, 13, 0, 5, 4, -2.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80088 is divided by 19537.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3))**(-1\/4) assuming i is positive.\nAnswer: i**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-48)\/20))\/((-25)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*y + 2 - 11 = 0, 3 = -2*s - 5*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -172349928, -344699857, -517049786?\n\"Answer: -172349929*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-2*sqrt(130))\/sqrt(10) - sqrt(1872)*1)*-1 + sqrt(65)\/(sqrt(5)*-2) + -3 + sqrt(208) + 5)**2.\nAnswer: 70*sqrt(13) + 15957\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334371 - 668541 + 334170 - 27*a**2.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppgppppgpgpppg?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 10*o = -c - 7, 7 = -4*c - 3*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132993*k**3*o**3 + 2*k**3*o - 69*k**3 + 5*k**2*o - 7*k*o**2 + o**2 wrt o?\nAnswer: -797958*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let w(d) be the third derivative of 29*d**4\/24 + d**2 - 16*d. What is j(w(a))?\nAnswer: -58*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.3 (c) 9562\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2148 = 210*q + 258. Solve 3*c - 10*j + 15 = -q*j, -3*c = 2*j + 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12304 (base 5) to base 3.\nAnswer: -1022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -576 + 416. What is the highest common factor of p and 1536?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1119409*l**4 - 174616*l**2.\nAnswer: -26865816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4.52166 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - -0.21. What is the nearest to -0.2 in 3\/2, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 45 + 131 = -4*x, 5*x - 212 = -3*f. Let o = -65 + f. Let d = 57\/176 + -3\/16. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14439810 divided by -4655.\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47373 is divided by 252?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7078*h**3 - 30563*h**2.\nAnswer: -42468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 t when four letters picked without replacement from {c: 12, t: 1, g: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {n: 5, s: 2, m: 1, u: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44644, -88379, -132102, -175807, -219488, -263139, -306754?\n\"Answer: q**3 - 43742*q - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*v + 27*v - 1361 - 19564 for v.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*b + 2*g - 44, -5*b = -g - 325. Suppose -3*a - 20 = -b. Let r be 3 - (-1 + 0)\/(1\/42). What is the highest common divisor of a and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17769? (a) 3 (b) 5 (c) -0.328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211212201 (base 3) to base 11.\nAnswer: -51993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491 (base 15) in base 8?\nAnswer: -10473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from momoooomoooo. Give prob of sequence om.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3979?\nAnswer: -7958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -22*m - 268. Let l be x(-12). Which is the nearest to 5\/3? (a) -1\/3 (b) 4\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*o + 5, 3*o + 3 + 12 = 0. Let l be (-1)\/g + (-4)\/(-112). What is the closest to l in -5, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15539 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 28. Let n be k(12). Solve n*s + 12 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**4\/24 - 23*z**2 - 4. Let q(d) = -d - 1. Let u(n) = 1. Let t(f) = 4*q(f) + 4*u(f). What is t(c(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 941 + -942. What is the nearest to w in -2, 1\/4, 5\/47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 116056945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a + 15*a - 222 = 26*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/6)\/(6\/(-18)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d (base 16) to base 6.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:45 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - b + 1. Let n(z) = 3*z**2 - 6*z + 28. Let i be ((9\/(-2))\/(-1))\/((-3)\/4). Let c(m) = i*j(m) + n(m). Differentiate c(t) with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3694.057 centuries?\nAnswer: 4432868.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13\/2, 0.2, -4\/9, -5, -3\/2, 5, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/3017443 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7983435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (-21 - (-2 + -26) - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -7*i**4\/12 + 8*i. Let f(z) = -z. Calculate f(k(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-260)\/4056*13)\/((15\/18)\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 65?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*n**2 - 6*n + 696 wrt n.\nAnswer: -54*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 422 = -k, 0 = -2*c - 2*k + 7*k + 841. Let v = 551 - c. Which is smaller: v or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-119)*35\/(-30). Which is the second smallest value? (a) -2\/25 (b) -82 (c) o (d) -0.4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z - 13. Let v(n) = n + 3. Let r(w) = -6*b(w) - 26*v(w). Let q(k) = 3*k + 6. Let p(y) = -1. Let g(c) = -6*p(c) - q(c). What is r(g(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2554, 5104, 7630, 10120, 12562, 14944, 17254, 19480?\n\"Answer: -2*a**3 + 2564*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -231, -332, -431, -528, -623, -716, -807?\n\"Answer: i**2 - 104*i - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -20*f - 67 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66798 rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b**3 + 8*b**2. Let c(g) = 49*g**3 - 32*g**2. Let t(y) = 2*c(y) + 9*v(y). What is the third derivative of t(u) wrt u?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11092 to the nearest one hundred.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -8, -7, -4, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*b - 15, z - 12 = -2*b - 3. Sort -2\/9, z, -0.4, 1\/9 in descending order.\nAnswer: z, 1\/9, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1560 + 13137\nAnswer: 14697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -90 + -3 + 17 + (1 + -17 - -5)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*u - 70884 = -1787*u - 9636 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + 159. Suppose -2*b - 74 = 5*x, -b = 5*x + 29 + 8. Let p be j(b). What is the highest common factor of 3 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 - 324\/(-7). Let b(j) = -4*j + 33. Let h be b(6). Let s be (4 - h) + -185*(-4)\/10. What is the highest common factor of p and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.89 + -0.11. Let c = b + 29.9999346. What is c rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04904 and 28809.\nAnswer: 1412.79336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 1\/2, 3, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-60)\/25)*8\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 22*a**2 + 24*a - 5. Let n be q(-20). Suppose 5*g - 1130 = -5*f, -604 = -4*f + g + n. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*v + 19, -29*c + 33*c = 5*v + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(10\/11)\/g**(2\/91)*(g*g*g**11\/g)**(-28) assuming g is positive.\nAnswer: g**(-335448\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 9 + 9)*(-w + w - 2*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from wwlmmqwwlqwwlwqw.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67.2913072 and -37524.\nAnswer: -37591.2913072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66058702 divided by -78829?\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - sqrt(20)\/(sqrt(4)*-2)).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 1 + 1)*(-4*g**4 + 3*g**4 + 4*g**4) + g**5 - 2*g**2 + 2*g**2 + g**5 - g**5 + 2*g**5 + 5*g**2 + 3034*g**5 - 5*g**2 - 3157*g**5.\nAnswer: -114*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkwkyyikkwkwwwyywkk. What is prob of sequence ywyw?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-50)\/160*12\/630*3*-4\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 13 = 3*a, a + 2*z - 3 = 0. Let b = 16 - 13. Suppose b*w = -0*w - 15. Put -3, a, w in descending order.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -10 - (-5 + 22 - 18)) + 4 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*g + 216 - 151 = -397 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021110 (base 3) to base 16.\nAnswer: 3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:52 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 486765*q + 1460296. Determine r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -27.00136. What is k rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (57 - (-35 - -32))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b911 - -3?\nAnswer: -6b90d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1111011101001110001101111?\nAnswer: -1111011101001110001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17*n. Let a(l) = l**2 - 20*l + 2. Let f(z) = 6*z**2 - 160*z + 16. Let i(p) = -8*a(p) + f(p). Determine u(i(k)).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 2*n - 4. Give u(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 8074636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 87.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + -2. Let p = 8881\/8 - 1110. Which is the nearest to 1? (a) -4 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 rounded to the nearest ten?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 58*u - 4*u - u + 9*u.\nAnswer: -2*u**2 + 62*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436905160 rounded to the nearest one hundred thousand?\nAnswer: -1436900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -685 + 685 + 88*a**5 + 2*a**5 - 4*a**5 + 0*a**5 + (3*a**2 - a**2 - a**2)*(0*a + 0*a - a**3) + 1 - 8*a**5 - 1.\nAnswer: 77*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 589153 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 17*l**2 - 59*l - 59. Let w be n(-19). Calculate the greatest common divisor of w and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(6*sqrt(120) + sqrt(30)))\/((sqrt(2430) + -2*sqrt(2430))\/(((sqrt(960) + sqrt(60))\/sqrt(12) - sqrt(5)) + sqrt(5))).\nAnswer: -1300*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.76088 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22388465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x. Let h be u(-1). Let r be ((-16)\/(-20))\/(h\/10). Suppose -i = -r*i - 1. Which is the second biggest value? (a) i (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 5202*t**2 + 3006756*t - 579301656.\nAnswer: 3*(t - 578)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 8. Suppose 0 = -b - 5*y + 41, -4*b + 276 - 7 = -y. Suppose -f*j = j - b. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(1\/17)\/r)\/r)\/r*r*r\/(r\/(r\/(r**16\/r)*r)))**(1\/17) assuming r is positive.\nAnswer: r**(-237\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11389 + -11387. Which is the closest to -0.1? (a) -1\/2 (b) m (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 37 = 5*t + 86, -3*t = -5*o + 113. Suppose o = 5*f + 4*i + 8, 0 = -5*f + 5*i + 5. What is m in 1 + 0*m - 3*m + 2*m**f + 5*m - 5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 24*q**2 - 68*q + 67. Calculate the remainder when 583 is divided by a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871221446.\nAnswer: 2, 1511, 288293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/7)\/((-33)\/3234))\/(54\/(-3)*-1)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23166 and -8.45.\nAnswer: 195752.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004953 to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0075754 less than or equal to 2.43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -2, -1, -332.6?\nAnswer: -332.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -183, 7\/6 in decreasing order.\nAnswer: 7\/6, -1\/2, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818 - 7*c**2 - 12*c**2 + 818 + 11*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*a + 24, -41 = 6*a - 3*a - f. Let l = 13 + a. Solve l = -5*d + 9*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.16 + -6. Let j = 0.2 - w. Let r = j + 1.96. Which is the nearest to 0? (a) r (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890795.1 hours in seconds?\nAnswer: 3206862360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -2*k**2 + 5*k + 1. Suppose -n + 4*n + 51 = 0. Let s = n - -23. Let b(r) = -9*r + 11. Give s*b(f) - 13*z(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 22 - (16 + (3 - 11))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 2 + 1\/2*r**2 + 12*r. Let z be p(-8). Solve 5 = -d + 3*v, -2*d - 11 = -5*d - z*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4331433.\nAnswer: 3, 43, 33577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -13. Let m = -25 - -27. Which is the nearest to -0.3? (a) 2\/7 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230557*h**3 + 166475*h**3 + 73 - 73.\nAnswer: 397032*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -13.4. Let l = -10 - p. Put l, -2\/5, -3 in decreasing order.\nAnswer: l, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**7\/120 + z**6\/30 - z**4\/6 - 22*z**2. Let i(c) be the second derivative of l(c). Find the second derivative of i(u) wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j*j**(2\/7))\/j)*j*j*j*(j\/(j\/(j\/(j*(j\/(j*j**(-2\/39)*j))\/j))))\/j)**41 assuming j is positive.\nAnswer: j**(74579\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 24*w + 115. Calculate v(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3606, 3615, 3620, 3621, 3618?\n\"Answer: -2*w**2 + 15*w + 3593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -1, 1.7522, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 243 and 241 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 226, -34 in increasing order.\nAnswer: -34, -2, -1, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45208 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -5\/6*v**3 + 3*v + 0*v**2 + 1. Let o(c) = -6*c. What is o(r(j))?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -72864806.\nAnswer: 5\/72864806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 - h + 7. Let q be o(5). Let c(b) be the second derivative of -1\/60*b**4 + q*b + 0 - 1\/15*b**3 - 1\/10*b**2. What is y in c(y) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*z - 140 = 594*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14518 is divided by 764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11833575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/5 - 136*m\/5 - 448 = 0?\nAnswer: -40, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(15)\/sqrt(75) + -2))**2*-3.\nAnswer: -315 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b**4 - 2\/5*b**5 - 2\/5*b + 4\/5*b**3 + 0*b**2 + 0 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0583156 - -22548\nAnswer: 22547.9416844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l. Let o(t) = -2*t + 1333. What is u(o(b))?\nAnswer: -14*b + 9331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -75817041.236 + 2\nAnswer: -75817039.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 4*j**2 + 8. Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 34 = 492*r + 497*r - 994*r, 17 = 4*r - 2*y + y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8103)\/877825)\/((-9)\/78).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 9) to base 2.\nAnswer: -1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (1 - (4 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307120525 to the nearest integer?\nAnswer: 17525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-27)\/(-54))\/(6\/(-231)) and 97\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 117*b - 1122. Calculate the remainder when 160 is divided by r(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -23*y**6\/120 + 17*y**4\/6 + 23*y**3\/2 + y + 16. Let a(t) be the second derivative of p(t). Differentiate a(m) wrt m.\nAnswer: -138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24516 and -0.15?\nAnswer: 3677.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 8*s**2 - 3*s - 7. Let y be m(-4). Suppose y*k + 1045 = 10*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k**2 + 1156*k + 6*k**3 + 2*k**2 - 1108*k + 36 - 9*k**3 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a6 + -2480?\nAnswer: -3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 5 - 1)*50. Suppose q - 4*r - y = 0, -4*r = -4*q + 158 + 206. Suppose 3*z = -4*s + 31, 3*z + z - 4*s = q. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391721961 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -51689*j. Let b(t) = -2*t. Give b(a(n)).\nAnswer: 103378*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435973189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19\/((-171)\/(-36)))\/((-4)\/10). What is the tens digit of (-213)\/(-15) - -4*(-2)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-12))\/(15\/9 + -1). Let s(c) = c**3 - 10*c**2 + 12*c - 22. Let j be s(9). Sort a, -5, 2, j.\nAnswer: -5, a, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.26, -5, 0.5, -7, 0.07?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + 3) - (4 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 4*r**2 - 28*r + 22. Let s be m(7). Let b = -406 - s. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/12 + -12 + (0 - -5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 368500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.28 - 11. Round b to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**7\/504 - 3*z**5\/40 - 5*z**4\/24 - z**2. Let m(b) be the second derivative of u(b). What is the derivative of m(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*k**3 - 2*k**2 - 33*k**3 + 118*k**3 - 2 as r*k**2 + y*k**3 + v + b*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -326202530 divided by -5?\nAnswer: 65240506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2\/(-4)*-5. Suppose 0 = -c*s - 16 + 56. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2628.159 decades?\nAnswer: 315379.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -8*5\/(-4). Solve -2*l - c*l + 33 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/(21\/9). Let u = 14\/17 + -104\/85. Put u, -5, o in increasing order.\nAnswer: -5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 153200459072.5.\nAnswer: -153200459072.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 2, y: 1, x: 1}. What is prob of picking 1 y and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2\/4 + 753*x + 189003 = 0?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -419705, -5, -3, 1, 2, -2 in decreasing order.\nAnswer: 2, 1, -2, -3, -5, -419705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0.04663, -11, 6.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18.8047 - -0.013\nAnswer: 18.8177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/132 and 47\/763488.\nAnswer: 763488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17544 and 3264.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91740 - 665*y - 91740)*(-2 + 2*y + 2)*(3 - 2 - 3).\nAnswer: 2660*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94783?\nAnswer: 13, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 612563142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.543684 - -0.456316. Let o = -2 + 2.1. Which is the closest to 0.038? (a) o (b) -3 (c) y (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34600 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((-46)\/115).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5280 divided by -48.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8052 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11997526 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1823106 divided by -5\nAnswer: -1823106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1903252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723374?\nAnswer: 2, 361687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 3:30 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7964*j**2*z**2 + 7*j**2*z - j**2 + 9089*j*z**2 + 41*j - 4*z**2 wrt j.\nAnswer: -15928*z**2 + 14*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*sqrt(500) - sqrt(20)) + 2*(1*sqrt(80))**2).\nAnswer: 152*sqrt(5) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 168 and 0.1215485.\nAnswer: 20.420148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -13*u - 15. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4098 times -0.2\nAnswer: -819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*x = -255*x + 54 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 218952.747 microseconds?\nAnswer: 0.0000025341753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 5. Let l(c) = -9*c + 9. Let v(i) = i**2 + i + 1. Let z be v(-1). Suppose -4 = 10*g - 34. Suppose -x + z = -g. Calculate x*l(a) + 7*k(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**3 + 11*b + 4. Let j(l) = -3*l**3 + 5*l + 2. Determine 6*h(v) - 13*j(v).\nAnswer: -3*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 3*n**2 - 4*n + 2. Let w be z(-4). Let k(r) = -3 - 12*r**w + r + 15*r**3 - 14*r**3 + 3*r**2. Calculate k(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250368 * -5.36\nAnswer: 1341972.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 4*r**2. Let s(d) be the first derivative of d**5\/60 + d**2 - 6. Let w(v) be the second derivative of s(v). What is -4*w(f) + y(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2319 at least -2320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/48 + 317*2\/8. Let y = 2 - -2. Suppose -y*b = b - p. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {k: 4, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.072 - 0.028. Which is the nearest to r? (a) 0.2 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1742187755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - d + 1. Let a(c) = 7*c**2 - 10*c + 5. Let x(k) = -a(k) - 2*p(k). Let q = 41 - 117. Let o be q\/(-6) - (-14)\/(-21). Calculate x(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3563, -3585, -3641, -3749, -3927, -4193?\n\"Answer: -3*c**3 + c**2 - 4*c - 3557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhmbeyhx. What is prob of picking 2 h, 1 y, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(-2*((2 + sqrt(80)*2)*4 + -3))**2*-3.\nAnswer: -370440 - 23040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/6*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 303960 and 37230.\nAnswer: 22189080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 286266642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6019.201ng?\nAnswer: 6.019201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -36\/5, 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-2 - (-21)\/9). Let w(u) = u**2 + 3*u + 3. Let g be w(i). List the prime factors of (6\/15)\/(g\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*d + 18, 11*d + 36 = 15*d + 2*m. Calculate the least common multiple of d and 524.\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in 1730, 4, 0.04, 2\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 1)*(-107 + 107 - 24*x**4) + 3*x**3 + 0*x**4 + 4*x**3 + 6*x**4)*(-3*x - x + 2*x).\nAnswer: 36*x**5 - 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 + 3*z + 2. Does 19 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 3, 2\/21.\nAnswer: -0.8, 2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38\/15? (a) 4 (b) 5\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 54, -2 in decreasing order.\nAnswer: 54, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -16. Suppose -g*c + 4 = -16. Suppose -7*r + 49 = -2*r + 4*s, 5*s + c = r. Calculate the remainder when 33 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1. Let v(a) = -5*a + 20. Let y(k) = -20*t(k) + v(k). Let d(m) = -2*m. Calculate y(d(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 + (7\/(-14) - (-5)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h = -12. Suppose -h*t + 3*k = -18, t + 3*k = 3*t - 17. Solve -y = -2 + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b. Let v(j) = -20557*j**2. Calculate q(v(d)).\nAnswer: 143899*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 45*x**3 - x**2 + 7*x - 7. Determine h(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 0 (c) -10\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297499 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - -211. Suppose -197 - t = -i. What is the remainder when i is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18137832*m + 43424 = 18138200*m for m.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 4. Suppose -4 = 2*s, -4*d + l*s = 7 + 25. Let v = 9 - d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501305.4+850003\nAnswer: 348697.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 7 + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4 (c) -18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*q - 0*q. Let s = 8155 - 8134. Solve -s*v = -q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrg when three letters picked without replacement from {g: 2, n: 10, r: 2, v: 3, u: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/4 + g**3 - 2*g**2 + 2*g + 1. Let v be k(-4). What is the third smallest value in 2\/7, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20 + 20 - 2*l**2 - 6*l wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2\/15)\/l)*l)**(-8)*(l*l\/l**2*l*l)**(7\/9) assuming l is positive.\nAnswer: l**(-698\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.25, -817, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2424321023 (base 5) to base 12\nAnswer: -1aa9733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/((-387)\/(-54) - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(-1\/3))))\/(l*l**(-1\/6))*(l**(-2\/49))**(-48) assuming l is positive.\nAnswer: l**(241\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 equal to -0.3056738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - ((21 + -15 - -13) + -20)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nalnnxannnnaxannbnab. What is prob of sequence xxa?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - (-3)\/(-1)) + 1. Suppose 2*t - 20 = -k*t. Calculate the highest common factor of 32 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60.5 + -60.2. Let y = -0.176 - -0.676. What is the nearest to -1\/2 in y, t, -77?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 366249505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 38. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(3300) - sqrt(3300)*1))\/(sqrt(147) - (sqrt(147)*-1 - sqrt(147))).\nAnswer: sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795 and 382925?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599*c = -1208*c + 594*c + 33329295. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/136 and -17\/2548?\nAnswer: 86632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from xpppxppp?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -910868\/601 or -1516?\nAnswer: -1516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 6. Let b(t) = 2*t**3 + 1232*t - 12. What is -b(h) - 2*g(h)?\nAnswer: -2*h**3 - 1236*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-357579)\/16011)\/((-2)\/6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 29 = 24. Suppose -9 = -3*q + 3. Suppose -p*f + 4*r = -980, 4*f + q*r = 5*f - 180. Round f to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let l = 2 - 7. Let m = l + n. What is the closest to 0 in -3\/7, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -6 - 9. What is the smallest common multiple of (-10)\/k - (-1)\/1 and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 5. What is s(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/5, 0.28, -89?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7939795 a multiple of 3076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + a3d7?\nAnswer: a3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 33*g - 37. Let t(d) = d**2 + 11*d - 12. Let r(y) = -7*t(y) + 2*z(y). List the prime factors of r(-10).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 135*j = -16*j + 7290 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 3 - 29*w + 8*w + 17*w to the form f + y*w and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12021720, 24043414, 36065108, 48086802, 60108496, 72130190?\n\"Answer: 12021694*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:54 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-12)\/9)\/2. Suppose -4*t - 3*i + 14 = 0, 3*t + 0*t - 5*i + h = 0. What is the third derivative of 2*d**2 - t*d**4 + d**2 - d**4 wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:05 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65532 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eumm when four letters picked without replacement from {u: 3, m: 6, e: 2, s: 1, w: 2}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-2 - sqrt(320))*6 + -4 + sqrt(320) + 1 + -2 + 5)**2.\nAnswer: 92480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 496 + -497. Do a and 4\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.008 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118849 - -1187427\/10. Let h = x + 106. Which is smaller: -1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*h = -28, -12 = l - 2*h - 2*h. Calculate the highest common divisor of 12 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 1404029 in increasing order.\nAnswer: 1, 3, 1404029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492440825?\nAnswer: 5, 19697633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - l)*(-1 - 7 - 4 + (0 + 0 + 1)*(0 + 1 + 1)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 3*o + 1. Let s(d) = d**2 - 2*d - 1. Let i(v) = 3*s(v) + 2*u(v). Let p(h) = 7*h**2 + 3*h + 5. Determine 5*i(z) + p(z).\nAnswer: 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 + 370. What is the greatest common divisor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)*l*l*l\/(l\/(l*l**(-6)))*((l\/l**(1\/3))\/l)\/l**3*(l**(-6)*l**(1\/2))**(-9) assuming l is positive.\nAnswer: l**(229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 2)*(-11)\/2. Let w be (1\/(-3))\/(g\/(-363)). Suppose w*k - 2490000 = 14*k. What is k rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.62 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*i**3*m**2 + 6*i**3*m*n - 4*i**3*m + i**3*n - 3*i**2*m**2*n + i**2*m - 3*i*m**2*n - 27*n wrt m?\nAnswer: -44*i**3 - 6*i**2*n - 6*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112202000 + 10?\nAnswer: 12112202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324.0034 + 0.0034. Let z = r + 322. Which is the closest to -2\/7? (a) 0.5 (b) -4 (c) 4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 + 3*a**2 + 4*a + 6. Let f(g) be the third derivative of g**6\/60 - g**5\/30 - g**4\/8 - 5*g**3\/6 - g**2 + 173. Give 4*f(n) + 3*z(n).\nAnswer: -n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18321, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -119.\nAnswer: 50\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -60?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*w + 13, k - 4*w + 0*w = 45. Solve 5 - k = 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20068645?\nAnswer: 5, 4013729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40646809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5125 (base 13) to base 5.\nAnswer: -324220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -16. Let i = 26 - g. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -555*m*y**2 + 8*m*y - 202*m + 200*y**2 + 38*y wrt y.\nAnswer: -1110*m + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -299266.9973 - -299284. Let y = -17 + a. What is y rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12613669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*m + 106*m - 3325*m**3 + 2*m**2 - 254*m + 2 - 4854*m**3 wrt m.\nAnswer: -49074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 + (-33 + -15 - -20))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57593.\nAnswer: 57593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36 and 2.88.\nAnswer: 38.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 23 + 10 + 2 - 1 + 1 + (0 + 0 - 2)*(-2 + 1 - 1))*(613*j + 21*j - 242*j).\nAnswer: 12152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44228530 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 4 (c) 0.058 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/2103376 and -22\/35853.\nAnswer: 6310128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 18. Let q be 1 + -3 + (-5 - g). Let f be 10*3\/q + 4. Which is smaller: -6\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150*c**5 + 4577*c**4 - 4*c**3 + 33323751*c wrt c.\nAnswer: 3000*c**3 + 54924*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**2 + 114659320*g + 657337983143120 = 0.\nAnswer: -11465932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 14*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*a = -6, 0 = 5*a - 0 + 5. Let x be (-88)\/(-24) + q\/(-6). Suppose 160 = -x*h - h. Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 8)*(-1)\/(-2)*6. Let w(q) = q**2 - 18*q + 13. Is 7 a factor of w(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eke when three letters picked without replacement from ceekoeckkeeekkekeckc.\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 11*c**2 - 2*c + 20. Is a(7) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 2}. Give prob of sequence jh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9520.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -96090083\/5 >= -19218017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000187604 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 561\/102 + 1\/2. Let s(c) = 95*c + 177. Is 83 a factor of s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 848*z**2 - 59276*z - 908280.\nAnswer: 4*(z - 270)*(z + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2. Let m = -12 - -18. Let g(q) = 3*q + 5*q - m*q. Determine g(p(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29891 and 312803?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -44 + 41 + (1 - (-26)\/14). Let s = -7.7 - -7.2. What is the closest to 0.1 in s, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3*i - 72, -3*l - 4*i = -4*l + 18364 - 18457 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181 + 179. Which is the closest to 6? (a) -5 (b) 0.1 (c) v (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 - 1072*r**3 + 12660*r**2 + 3915000*r - 120528000 = 0. What is r?\nAnswer: -62, 45, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 4. Suppose -q + 173 = 4*p, -f*p + 4*q = 8*q - 208. Suppose -5*k = -k - p. Solve 0 = 3*s - 5*o + k, 0 + 2 = -2*s - 2*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1056 + 1057. What is the smallest value in 2\/17, o, 43?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1621120 and -39\/197425.\nAnswer: 429596800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 903 - -3?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/54 and 67\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (12 - (18 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1638 = 54474*c - 54516*c for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/4, 2\/11, -3 in descending order.\nAnswer: 6, 2\/11, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.968 - -56. Let z = 0.0258 - t. Round z to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15933 + -15929. What is the fourth biggest value in -4, 1\/105, u, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/71 or -557?\nAnswer: 15\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 18 (c) 69 (d) 6 (e) 540\/11 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(110) + sqrt(110) - sqrt(110))\/((sqrt(70) - (sqrt(70) + sqrt(70) + 1*sqrt(70)))\/sqrt(7)) - (sqrt(44)\/sqrt(4) + 2 + -6*sqrt(396)))**2.\nAnswer: -148*sqrt(11) + 15063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -287?\nAnswer: 28.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*t - 0, -43*f = -84*f + 45*f + 4*t + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/20 + 7*r**4\/12 + 2*r**2 + 25*r - 1. Determine q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1. Let n = 20 + -18. Let s(d) = 4*d - 5. Determine n*s(c) + 9*f(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3374\/18705 or -1?\nAnswer: 3374\/18705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2a4cd (base 14) to base 13\nAnswer: -38b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**2*q*y**2 - 150*j**2 - j*y**2 - 4*j + 12*q*y**2 - 9*q*y - 2 with respect to q.\nAnswer: 6*j**2*y**2 + 12*y**2 - 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003369 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529.9409us in minutes?\nAnswer: 0.000025499015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (1 + sqrt(1053))**2 - (5 + sqrt(117))) + -2.\nAnswer: 24*sqrt(13) + 1047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -30*a + 31*a + 0 + 1. Let c be m(-3). What is the closest to -0.1 in 2, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 - 4010*r\/13 - 819588\/13.\nAnswer: -2*(r + 231)*(r + 1774)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 - 2*n + 2. Let d be q(-2). What is the tens digit of (-1346)\/(-18) + d\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 22*s + 40. Give g(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**8\/28 - k**6\/5 + 4*k**4 - 70*k. What is the third derivative of l(n) wrt n?\nAnswer: -240*n**3 - 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 + -1)\/(-1). Let f(r) = -3602*r + 11. Let u(d) = 1601*d - 5. Let p(b) = -4*f(b) - 9*u(b). Let q(a) = -a**2 + a + 3. What is s*q(m) + p(m)?\nAnswer: m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35190 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -68*r - 128. What is h(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279203814.\nAnswer: 2, 3, 2203, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1860.5147 + 1861. Round f to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -740, -738, -736?\n\"Answer: 2*w - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4f91e4 (base 16) in base 7?\nAnswer: 62216120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, x: 6, l: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122942 - -122938. Let b = -68 - -41. Put -1\/11, o, b in descending order.\nAnswer: -1\/11, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11261323 (base 7) to base 5.\nAnswer: 223132334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 852919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63\/46 + -13115\/138. Let l = -93 - s. Factor -5\/3*j + j**2 - l.\nAnswer: (j - 2)*(3*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 5. Let m(t) = t**3 - 2*t**2 - 8*t + 5. Let r be m(4). Let n be p(r). Suppose n = -5*j + 7 + 8. Solve 0 = q - 4*s + 6, -2 - 1 = -j*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.067 - -57.772734.\nAnswer: 60.839734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1402 + 2485. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 60568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -5*j + 64. Let w = -10 - j. Calculate the lowest common multiple of 12 and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 149503618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 28 = 3*i, 2052*n - 2051*n - 22 = 3*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + 6 + 0*b - 5*b**2 - b**3 - 7*b + 2*b**2. Let y be x(4). Let t = y - -129. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4874\/21 + -232. Let o = 23\/54 - -2\/27. What is the closest to -1\/3 in o, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 3:07 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 21926 = 51*b - 11590. Calculate the least common multiple of b and 399.\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*l - 3*l + 12, 4*s = 12. What are the prime factors of ((-2)\/(-6))\/(l\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 9 + (-1 - -2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24755.\nAnswer: 5, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -7404?\nAnswer: -7417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 28*y + 27. Let i be p(-1). Suppose -2*d - 2*k + 110 = 0, i = -4*k - 18 + 30. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*t**2 - 5 - t**2 + 2*t**2 - 3*t**2 + (2*t**2 + 0*t**2 - 4*t**2)*(5 + 0 - 4) - t**2 + 5*t**2 - 3*t**2)*(-4 - 3 + 2).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (512\/768)\/(2\/33531)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387078 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886120?\nAnswer: 2, 5, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1800 = 7*y. Suppose 0 = 2*w, 0 = 4*s + 5*w + 40 - y. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*12\/((-26)\/(-13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 + i. Let r(j) = 5 - 11*j - 2 + 21*j**2 + 27*j - 13*j - 4. Give 7*c(l) - 2*r(l).\nAnswer: 7*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (5 + -6 + 2 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*c + 2*c + 20629 = 20648, 0 = -3*m - c + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 1 + 1 + (k - 3*k - 3*k)*(-1 + 3 + 6) to the form s + m*k and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 2:17 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 - (-4 - -7 - 5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37961976 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: Simplify ((r**4\/r*r*r)\/r*r\/((r\/r**(-6))\/r*r))\/(r**(-1))**(10\/7)*((r\/(r\/r**8)*r)\/(r*r\/(r**7\/r*r)))**(-36) assuming r is positive.\nAnswer: r**(-3532\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22966 - 20006. Calculate the highest common factor of 320 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 9. Let l = -6 - o. Sort -2, 4, l, 12 in descending order.\nAnswer: 12, 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4256 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**4 - 11829*j**3 - 47280*j**2 - 47268*j = 0.\nAnswer: -3939, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1687791764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/3)\/(-9*(-16)\/216)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3237427162 to the power of 1\/4, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385901.\nAnswer: 3, 11, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 362\/181*2\/4*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17867 and -0.6.\nAnswer: -10720.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/11 and -48\/13769.\nAnswer: 151459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402001072.\nAnswer: 2, 11, 67, 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 73.1469 weeks?\nAnswer: 737320.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4589086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1027524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 244371.7 to the nearest 100.\nAnswer: 244400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Suppose -m*o + 6 = 2. Put 0, 5, o in descending order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -376, 38, -1, -3 in ascending order.\nAnswer: -376, -3, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16204 + -15827. Solve 392*x - v*x = -90 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -149. What is the remainder when 53 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 - 699 = -17*y - 21*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10.4. Let m = 0.671 - 0.571. Put w, -2\/9, m, -0.3 in descending order.\nAnswer: w, m, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a9c + -2?\nAnswer: -1a9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 385420, 770817, 1156214?\n\"Answer: 385397*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 626213585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.000581993 to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12581224949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -16 + (2 - 3) - -10 - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57381*q**2 + 57373*q**2 - 229512*q**2 + 57360*q**2 - 2*q + 57354*q**2.\nAnswer: -44*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-15)*(1 - 19). Suppose -i = 2*i - k. Suppose -2*u = -2*h + 6*h - 48, i*h - 2*u = 12. Solve 2*q = 2*l + 4, 0 = 5*q + l - h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -456818 (b) 0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29413495 rounded to two decimal places?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.04 - 9. Let b = -7.96 - z. Let x = -8.2 - b. What is the second biggest value in x, 1\/2, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - -2 - (36 + 40 + -79)) + 4.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 7*n - 3*n + 54 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.14 - 39.1400033482. Round f to 7 dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 31 = 18. Let s be 5\/2*(y - (-126)\/(-30)). Let k(m) = 3324*m**3 - m**2 - 11*m - 6. Let h be k(s). Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by -3*(-1)\/(-15) - (-1086)\/30?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36498, -36490, -36474, -36444, -36394, -36318, -36210, -36064?\n\"Answer: m**3 - 2*m**2 + 7*m - 36504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrrjjrjjjjjjjrjjjj. What is prob of sequence rrj?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2)*-3*1. Suppose q - 14 = -3*d, -2*d - 12 = -6*d - u*q. Suppose 32 = -2*f + d*f. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Suppose 4 - 1 = q. Suppose q*r - r = z. Sort r, -3, 4.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 33 - (7843 - 7804)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 19\/3*n**2 - n**3 + 8\/3 = 0 for n.\nAnswer: 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 3*d**2 + 2*d + 1. Let a = 11 + -8. Let b be o(a). Let c = -2323 + 2328. Solve 3*v - c = -3*l + 2*l, 3*l = 2*v - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 165\/198 - 12345\/(-20)*(-2)\/(-9). What is the highest common factor of 14076 and f?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -3.7. Let p = r - 7.6. Let m = p - -4. Which is the biggest value? (a) -1 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 3:15 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-430)\/184 - 212\/(-2438). Which is the biggest value? (a) j (b) 5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*x + 47. Solve x = -5*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**2 + i**3 - 36*i**2 + 4*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r + 1. Let k be o(4). Solve -3*p = k + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3814 = 4*l + 42. Does 87 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*y + 235 = -0*y, -215 = -d + 2*y. Suppose d = 11*i - 160. Calculate the remainder when (-11 - -7) + (-1 - -144) is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 p when three letters picked without replacement from ifkpptt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32*-100.82.\nAnswer: -32.2624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 + 11*g**2 - 4*g - 21. Let v be d(12). Let h = -80335\/12 + v. Let i = 2357\/198 + -74\/9. Calculate the common denominator of i and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 199, 309, 427, 553, 687?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8abc9 (base 13) in base 10?\nAnswer: -252482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 111*a**2 + 6*a. Let d(m) = 111*m**2 + 5*m. What is 6*d(i) - 5*j(i)?\nAnswer: 111*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - -120. Suppose -3*c - l = x - 26, 0 = -3*x + 4*c + 23. Which is smaller: 11 or x?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + x**3 - x**3)*((0 - 1 + 0)*(1 + 3 - 14) + (2 - 3 + 0)*(0 + 4 - 6)).\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -36281383964.\nAnswer: -36281383964.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 5*l + 4*z, -5*l + 16*z - 100 = 22*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 1 w when three letters picked without replacement from {k: 2, s: 1, c: 1, w: 1, p: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28421, 28140, 27859, 27578, 27297, 27016?\nAnswer: 26735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 57 = -2*n. Let j = -3967 - -31825\/8. Find the common denominator of (9\/8)\/(3\/n) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 - -373. Let d = h + -102.999999598. Round d to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37283722 and -0.03?\nAnswer: 37283721.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.61 + 0.39. Let v = 17.5 - i. Which is the biggest value? (a) 2 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4650 - 93 = -3*t - 2*x, -4*t + 6366 = -2*x. What is the greatest common divisor of t and 897?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -349*y - 8673. Calculate d(-27).\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17, -5, 5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**1\/a)\/a)\/(a\/a**(-1\/4))*(a**(-1))**(15\/8))**(-31) assuming a is positive.\nAnswer: a**(775\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1250, 3, 3\/8, 8, 2\/11, -2\/11 in ascending order.\nAnswer: -1250, -2\/11, 2\/11, 3\/8, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -6 + 27. Suppose 28 = 2*x - 2*a, x = l*a + 10 + 8. What is the least common multiple of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2322130331?\nAnswer: -2322130320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 26 = 3*b + 9, m - 3*b + 2 = 0. Suppose u = 6*o - 7*o + 12, 0 = 5*o + 4*u - 64. Put o, -4, 3, m in decreasing order.\nAnswer: o, 3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 11*t**2 + 13*t - 120. Let j be z(10). Suppose 3*p - n - 260 = 0, -326 - j = -5*p + n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105967?\nAnswer: 37, 71, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -263*i**2 - 1308*i - 5. Calculate w(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*h = -18. Solve 4 + 5 = 3*l + 2*r, h*r = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.3 (c) -14 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(600\/(-2075)) + 21)\/(9\/(-1044))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/21 + 410\/35. Let v be 18\/h*(-2 + (-7)\/(-3)). Factor -v*n**3 + 0*n + 1\/2*n**5 + 0 + 1\/2*n**2 - 1\/2*n**4.\nAnswer: n**2*(n - 1)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 2 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 8. Is 2\/6 - 24\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 7*z + 46. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/6320 and 33\/2712544.\nAnswer: 13562720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + f**2 + 2*f + 1. Let j be v(-1). Let d = 8 - 4. Suppose -2*z + y = -z, 5*y + 1 = d*z. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.251 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 2. Let b(k) = 39*k**2. Give c(b(x)).\nAnswer: -78*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -702, -4 in increasing order.\nAnswer: -702, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5419 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - f + 41. What is the remainder when 900 is divided by n(0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*3*(10\/70)\/(16500\/(-9240)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*l - 3609*l + 60249 + 38265 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 18*v**2 - 372*v + 137. Is k(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (((-2380)\/(-44))\/(-5) - -7). What is the smallest value in -2, 72, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -60\/829, -4 in descending order.\nAnswer: 5, 2, -60\/829, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1165*g**5 + g - 248 wrt g?\nAnswer: 23300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 18*j**2 - 33*j - 16. Let y be m(-16). Suppose y = 60*b - 56*b - 2508. Round b to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6 = -3*k, -y = -156*k + 154*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)\/f**(2\/47))\/((f*f**(12\/5))\/(f*f*f**25)) assuming f is positive.\nAnswer: f**(1541\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1340009, -1340004, -1339997, -1339988?\n\"Answer: t**2 + 2*t - 1340012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) - sqrt(175)) - (-3*sqrt(343))**2.\nAnswer: -3087 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 359*u**3 - 7*u**2 - 4*u + 3. Let r(y) = -359*y**3 + 8*y**2 + 5*y - 3. Let l(j) = -5*r(j) - 6*w(j). Is l(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.8 in -2\/9, -6, -5, -1\/6, -11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -108. Solve 4 = b, -3*t + o*t - 3*b = -12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -12, 0*k = 2*u + 4*k - 30. Suppose -u*v + 1442 = -313. What is the remainder when v is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.346 - -54.946. Let p = -49.6 + a. Sort -3, p, -4, 2\/9 in increasing order.\nAnswer: -4, -3, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-7)*p)*p*p\/((p**(-3\/4)*p)\/p)*p)\/((p*((p\/p**6)\/p)\/p)\/p*p\/(p*p**5))*p**(-6)*p**(1\/3)*p*(p\/(p\/p**2*p*p))**(2\/29) assuming p is positive.\nAnswer: p**(217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 83 = -3*i. Suppose -3*m - 31 = -y + 6, 3*m - i = -2*y. Let u = y - 28. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5 + 17256*s**4 + 69076*s**3 + 51816*s**2 = 0 for s.\nAnswer: -3, -1, 0, 4318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4010 = 2*u, -3*u = 2*t - 1916 - 2096. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079765991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001283346 to 6 decimal places.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16840158, 16840180, 16840202?\nAnswer: 16840224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -165 + 165 + 28*l**2 + (l**2 - 1 + 1)*(2 - 5 + 5) + 1 - 1 + 2*l**2 - 2*l**2 - 2*l**2 + 5*l**2 as b*l**2 + o*l + s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 50*w + 126. Let i(y) = 2*y**2 - 52*y - 127. Let n(t) = -5*b(t) - 6*i(t). Let n(u) = 0. Calculate u.\nAnswer: -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35853 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111202122130 (base 4) to base 5.\nAnswer: 2421132410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 - l**3)*(-3601*l + 20*l**2 + 3601*l).\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/757417842 and -9\/14.\nAnswer: 5301924894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 - 94*f + 268. Give d(9).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*(t*t**(-1\/11))\/t*t*t*t*t*t**(1\/5)*t**(1\/5)*(t\/(t*t**(3\/4)\/t))\/t*((t*t**(1\/4))**(1\/12))**(-11\/9) assuming t is positive.\nAnswer: t**(152819\/23760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmxxmmm. Give prob of picking 2 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 667343895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (406\/290)\/((-1)\/(24\/(-21))).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48227 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, 165, -4, 3, -208 in decreasing order.\nAnswer: 165, 4, 3, 1, -4, -5, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**2 + 9*u**2 - u**3)*(0*u**2 - 2*u**2 + 4*u**2) + 5*u + 10*u**5 + 5*u - 13*u**5.\nAnswer: -5*u**5 + 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 204814564 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -19. Suppose 3*r - 4*n = 10 + x, -2*r + 10 = -2*n. Let t be (-2 + 4)*3 - -1. Solve m - 24 = r*c, 4*m - t - 4 = -c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71806*h*k**3*r - h*k**3 - h*k**2*r - 25*h*k - 3*h*r + 2*k**2*r - 82*k*r wrt k.\nAnswer: 430836*h*r - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-20)\/(-5))\/(294\/((-77)\/11)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*j + q - 5, -4*j = -4*q - 92. Let a = j - 198\/7. Which is greater: 1\/4 or a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3066*a**3 - 8531*a**3 - 3586*a**3.\nAnswer: -9051*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*-2 + sqrt(3024) + sqrt(3024) - sqrt(21))\/(sqrt(28)*-2).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + o = -5, -3*p + p + 3 = -5*o. Let n be 14\/7 - (-10 + p). Is 10 a factor of n - -1*(-4 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14397000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhrx. Give prob of picking 2 r and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -933*z**5 + 2381*z.\nAnswer: -18660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85168.339 - -86037. Let a = 1261.6447 - p. Let r = 393 - a. What is r rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 11*m. Let p be d(11). What is the nearest to 2\/5 in -3\/4, 7\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(96) - sqrt(6)))\/(sqrt(3) + sqrt(36)\/sqrt(108)).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert ebb34e (base 15) to base 6.\nAnswer: 1040340115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -1 - (68 + -284 - -93)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 46. Let n be 93 - (15 + -10 - (2 + -2)). Suppose -4 = -n*x + 87*x. What is the least common multiple of x and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - 2*d**2)*(d + 1 - 1) + d**3 - 3*d**3 + 3*d**3 - 67*d**3 - 269*d + 269*d + (2*d**3 - d**2 + d**2)*(1 + 1 + 3).\nAnswer: -58*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 - 290. Which is the biggest value? (a) z (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (72\/(-90))\/((-4)\/(-190)). Let a(p) = -p**3 - 6*p**2 + 6*p - 2. Let y be a(-6). Is l at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15073 and 2230804?\nAnswer: 2230804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14049*f - 2 + 2 + 1.\nAnswer: -14049*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52003216*g*y*z**2 - 7*g*y*z - 2349*g*z + 4*g + 3*y*z - 6 wrt z.\nAnswer: -104006432*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by 54?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1401*z - 20558*z - 10927*z to the form a*z + b and give a.\nAnswer: -32886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10707*y**2 - 9*y + 9. Let v be n(8). Let m = v - 1385185. What is m rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let v(m) = 10 - 26 + 13 - 14*m. Determine v(u(p)).\nAnswer: -28*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -24*v + v**3 + 22*v**2 + 12 + 3 - 5 + 11. List the prime factors of b(-23).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmjmffjfjfggg. Give prob of sequence ffm.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 0*r + 97*r**2 + 75 + 67 + 69 - 212 - 275*r**2.\nAnswer: -178*r**2 - 17*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 443*p**7\/14 + 385*p**3\/3 - 15*p + 1. Find the second derivative of h(d) wrt d.\nAnswer: 26580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w - w + 3*w)*(w**2 + 4*w**2 - 4*w**2) + (0*w + 0*w - w)*(w - 2 + 2)*(-16 + 19*w + 9 + 8) in the form z*w**2 + r*w + b*w**3 + j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -44 - 16. Let b = -8 + w. Solve -3*d - 5*a - 3 = 0, -b*d + 4 - 8 = -3*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 0, 24*m = 27*m + 4*s - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-348)\/42 + 8)*-1 - -3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528027 is divided by 505.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*u**2 + 101*u**2 + 10*u - 10*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -6*g**2 + 505*g + 1181. Determine q(42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:30 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/23)*t\/t**(-25))\/(t\/(t\/t**(-7\/2)*t)*t**(-30)))**17 assuming t is positive.\nAnswer: t**(47277\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 3*a - 4*a - a**2. Let k = -135 + 153. Let d(p) = -33*p + 8*p - k*p. Give d(n(r)).\nAnswer: 43*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -3)*(-2)\/(-5). Let i be 3\/(-4) - s\/8. Let a be (-1)\/(i\/8) + 1. Solve t - 1 = -2*z + 2, a = 3*t - 2*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*x - 8 = 20*x - 1973 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 1. Determine s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 952.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.858 + 9.9. Let g = 0.958 + u. Let w(c) = -c**2 + 10*c. Let y be w(11). Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -902 + 6c517?\nAnswer: 6ba15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-170)\/5*-1 - 2. What are the prime factors of n + (0 - 3) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 2770?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*a = -594*a - 592*a - 1872 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 340?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let d(w) = 408352523*w. Give d(s(x)).\nAnswer: -408352523*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**3 - 21*o**2 - 147*o + 1. Find y, given that x(y) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-21\/2))**46 assuming q is positive.\nAnswer: q**(-483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i + 12*i + 7*i)*(-38*i**3 - 7*i**3 - 23*i**3 + 9*i**3) in the form a*i**4 + j*i**2 + y*i**3 + l*i + o and give a.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 0 (b) 0.2 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-10) - -7)*36\/1305?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 4 (c) 8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1044)\/957)\/(2\/(-11)). Suppose -21*d + 108 = -15*d. Solve -i*p + 12 - d = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2 - 46776*n + 10705580 = 0. What is n?\nAnswer: 230, 46546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198803464.\nAnswer: 2, 2621, 57173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104751 - -49031. Let a = 55651.0116 + b. Let j = a - -69. What is j rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least -185\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-15) + 27\/15. Suppose -s*b + 3*b = -5*m + 29, 3*m = 3*b - 69. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + -11?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2106760, 2106630, 2106500, 2106370, 2106240?\n\"Answer: -130*p + 2106890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 62 - 2*f**3 + 3261*f**2 + 4*f**3.\nAnswer: 2*f**3 + 3261*f**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -70*n. Let a(h) = 25311*h**2 - 105*h. Give a(y(q)).\nAnswer: 124023900*q**2 + 7350*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*s**3 + 10320*s**2 + 5154*s + 644.\nAnswer: 2*(s + 322)*(4*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Suppose 0 = 5*d - y*o + o - 80, 2*d - 4*o - 44 = 0. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3 - 42*y - 61*y - 56*y - 244*y. Let i be q(-1). What is the highest common divisor of i and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-16 - -6 - -19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 44*w + 120. Determine y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 178091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011274922 to 4 decimal places.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445904 divided by -109.\nAnswer: 445904\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (28 - 27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -16, -14, -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + h**5 - 2*h**4 + (3*h**4 - 2*h**4 + 0*h**4)*(-2*h + 3*h - 3*h).\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/9 and 1 + 113\/30*-3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:49 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by 6730895?\nAnswer: -127\/6730895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 68*v - 18 + 15*v**2 - 18*v - 35*v. Is 13 a factor of s(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590168.2 nanograms in kilograms?\nAnswer: 0.0000005901682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33695.19 rounded to the nearest 10?\nAnswer: 33700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 3185 = 71*u + 37*u for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*h - 151872 - 38271. What is h rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-20)\/6)\/((-36)\/(-54)))\/(1\/(-86)). Which is greater: k or 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f. Let m = 4 + -3. What are the prime factors of f - 3\/m - -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 64*h**2 - 26*h**3 - 13*h**3 + 32*h**2 + 3*h**3 + 32*h**2.\nAnswer: -36*h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 4 + (sqrt(1900) - (1 + sqrt(1900))))**2 - sqrt(1900)) + -3*-1*sqrt(1900).\nAnswer: 80*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -135, -133, -127, -117, -103, -85?\n\"Answer: 2*u**2 - 4*u - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 350*o**2 - 2737*o - 45473. Calculate l(358).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5985 + 12\/(-24)*0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419 + -323. What is the lowest common multiple of z and 117?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let a(b) = -63079*b. What is a(l(j))?\nAnswer: 63079*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4816*f - 808. List the prime factors of z(6).\nAnswer: 2, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589 and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - h - 1. Let b(w) = -w**3 - 4*w**2 + 6*w + 4. Let l be b(-5). Let q be z(l). Let k = q - -15. What is the remainder when 27 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**36*y)*y\/(y\/y**(2\/119)))\/(((y*y\/(y\/(y*y*y**2)))\/y)\/(((y**(1\/10)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-51031\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2656 - -2656.2. What is the nearest to 1\/4 in 0.5, g, 64, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396811?\nAnswer: 53, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 + 5*s**2 + 73*s - 75. What is v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 3107 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1334 + -1320. Which is the third smallest value? (a) -0.1 (b) t (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 17. Suppose -12*p + d*p = 8. Which is the nearest to 0.02? (a) p (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*5\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - q + 1. Let d be g(5). Suppose 2*y = 3*k - 209, -17 = -2*k + 5*y + 126. What is the greatest common divisor of d and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 33*d**2 + 93*d - 282. Let q be r(30). What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344106, 688236, 1032388, 1376562, 1720758, 2064976, 2409216?\nAnswer: 2753478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4 - 4*w**3 + 5*w**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21043795 is divided by 618935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {k: 5, c: 1, r: 1, o: 3, d: 1, e: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 17 = -2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 376660376 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*p + 86. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.7, 5\/4, 2\/11?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1241 * 5.561.\nAnswer: 6901.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327 - 312. Let o(g) be the first derivative of -g**3\/3 + 12*g**2 - 37*g + 1. List the prime factors of o(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 20480*a - 81904. Calculate f(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**3 + 2619*a**2 + 71568*a + 496860 = 0.\nAnswer: -845, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 17 - (6 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmm when three letters picked without replacement from {j: 2, m: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p**4 + 2*p**4 + 0*p**4)*(48 + 37 - 28) to z*p**4 + q + d*p**2 + a*p + n*p**3 and give z.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 5. Let c be n(-9). Let d be c + 1\/(-3 - -2). Solve d*p - 1 = -z - 3*z, z = -4*p + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 2*f, 16 = -2*u + 3*f. Sort -6, u, 4 in increasing order.\nAnswer: -6, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 5*p + 4*p)*(46 + 12*p**2 - 46) + (2*p**2 + 3 - 3)*(2*p - 5*p + 4*p).\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.85 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + f + 5. Let z(d) = -1. Let n(b) = -v(b) - 2*z(b). Let p(q) be the first derivative of n(q). Is 4 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 12 = -703155*h + 703156*h - 6*a, -34 = 8*h - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i + 720. Let c = -141 - i. Suppose 3*b + 3*f = 30, -2*b + 11*f - 7*f + 26 = 0. Calculate the greatest common factor of b and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2\/9*m + 0*m**2 - 2\/27*m**3 + 7. Factor j(r).\nAnswer: -2*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 6*v - 483. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*u + 6*u + 25, 0 = 2*b + 5*u - 10. Solve 4*q - b*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434*b**2 + 3929*b**5 - 1895*b**2 + 622*b**5 wrt b?\nAnswer: 273060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 9. Suppose -2*c - r - 13 = 0, c + 4*r - r = -14. Let b = c + a. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110033 at most 110034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82900239?\nAnswer: 3, 37, 67, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4 - -6.31. Let k = 4.549 - 4.5. Let d = k + v. Round d to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1891 + -3639. Let y = -13949\/8 - g. What is the common denominator of y and 2\/(-2) + 26\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 2. Let p be l(5). Let s = p - 13. Let k be s\/14 + (-171)\/378. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 - 2*k**4 + k**2 - 32 + 34 + 2*k**4 in the form y*k + b*k**4 + w + u*k**3 + r*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 93106 + 96894. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 507*z**4 + 6006*z**3 + 22467*z**2 + 27720*z + 10800 = 0.\nAnswer: -5, -12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99.38 - 84.9. What is a rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*h + 15 = 0, 5 = -88*h + 43*h + 44*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/9 - 436*m\/9 - 23762\/9 = 0?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 6)*(7*l - 4686 + 5*l + 4689) - 2 + 2 + l)*(0*l - 2*l + 3*l)*(0 + 0 - 5).\nAnswer: -65*l**2 - 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6158316*t**2*y**3 - 9*t*y**3 - 42*t*y**2 - 3*t*y + 23*y**3 - 3 wrt t.\nAnswer: 12316632*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -136, -267?\n\"Answer: -131*b + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226 - -1128\/5. What is the closest to 0.1 in -2, 1\/3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.04. Let j = i - -0.11. Let t = -3.93 - j. What is the third biggest value in t, -3, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -887, -2\/13, -4, -2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6450.17 and 248.\nAnswer: -1599642.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 74. Solve 5*g + n*h - 9 = h, 0 = g - 4*h + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -258, -333, -408, -483?\n\"Answer: -75*v - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/24 - m**3\/3 - 6*m**2. Let f be t(2). Suppose 32 = -f*n + 4*n. What is the highest common divisor of 56 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s = -81*s + 35 - 2414. Put 1, s, -4.1 in increasing order.\nAnswer: s, -4.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmw when three letters picked without replacement from wmcmmmstm?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12*z - 45 = 0. Suppose 4*a + 112 = z*x + 2*a, 5*x + a = 124. Calculate the highest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*s - 154*s = -299*s. Determine t, given that 14\/25*t**4 + s*t + 6\/25*t**5 + 2\/25*t**2 + 0 + 2\/5*t**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + x + x - 3*x - 2*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*k**2 - 2*k**2 + k**2)*(3*k + 2 - 2)*(2 - 4 + 5) to v*k + r + y*k**3 + o*k**2 and give y.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*b - 2. Let o(t) = -1 + t - 3*t - 3*t**3 - 3*t**2 + b*t**2. Let u = -308 + 307. Determine o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14339716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 36 - (-2 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 17 + 19 = 2*w, 72*w + 54 = -4*h + 70*w for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 - (-3111)\/(-8 + 11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.213962 meters?\nAnswer: 213962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17446, 34903, 52360, 69817, 87274?\nAnswer: 104731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from goffgkowpfoo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 27. Let o = 20 - s. Are o and -32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.23 or -438\/1801?\nAnswer: -438\/1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - -0.35. Let u = -1.61 - c. Let t = u + 1.6. Which is smaller: t or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 35*u**2 - 191*u + 141. Let f be s(-28). Is f greater than or equal to -3\/9059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29522 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 4. Let u(f) = 2*f + 3. Let z(c) = -3*r(c) + 4*u(c). Let a(v) = 25*v - 95*v + 33*v + 21*v + 25*v. Calculate a(z(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:47 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456 by -57.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(40\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rddgnrddnnngrddj. Give prob of sequence ndn.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 371*o**3 - 4*o - 4. Let h(v) = 742*v**3 - 7*v - 7. Determine 4*h(x) - 7*r(x).\nAnswer: 371*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*d + 4 - 30, -3*d = -4*c + 8. Let y(r) = -2*r + 7. Let s be y(c). Let a = s + 4. Let u(p) = 5*p**3 + p**2 - p. What is u(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.88*40\nAnswer: -595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a + 2 = 32*a. Suppose 1052980 = -0*o - 3*o + 5*v, -5*o = a*v + 1755008. What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3996 and 592.\nAnswer: 15984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 30. Let l = 22 + h. Which is the third biggest value? (a) l (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbnb when four letters picked without replacement from {b: 9, n: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 799050 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5778158.\nAnswer: 2, 2889079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24996061 or 0.1?\nAnswer: 24996061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33412011 + 2?\nAnswer: 33412013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 134.796 from -8993.\nAnswer: -9127.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9919, -78816, -265819, -629980, -1230351, -2125984, -3375931, -5039244?\nAnswer: -7174975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5218 and 90.\nAnswer: 234810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8808 - 1546*l + 8808 + (0*l + 4*l - 2*l)*(-2 + 3 + 0))*(-2*l**2 + 13*l**2 + 2*l**2).\nAnswer: -20072*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252216 by 28024.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2341895, 2341973, 2342051, 2342129, 2342207?\n\"Answer: 78*c + 2341817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + 0 + -6 + 0 + 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1177*n - 41596 = 63388 + 6707 - 16354 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1695207.42 milliseconds to days.\nAnswer: 0.01962045625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from yyvyyyybbvvvby.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + 1 + -1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3435 - 30919\/9. Which is the closest to 14? (a) 7 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2117 and -184?\nAnswer: 38.9528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppuyputphpppptmpp. What is prob of sequence pm?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1223?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose -a*k - 3 + 57 = 0. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 - 2*q**2 + 4*q + 1579*q**3 - 1581*q**3 - 6*q to v + c*q**2 + r*q + k*q**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380931 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -18*x**2 - 3741*x + 566. Give d(-208).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or 61006.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27889*r = -27773*r + 2320 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 2, c: 1, l: 1, v: 1}. What is prob of sequence tlth?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 79*d + 128. Let v be m(-40). Suppose -v*j + 86*j = -8. Solve c + 12 = j*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 980 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*h - 5 + 51, -5*n + 2 = 3*h. What is the remainder when 34 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 16540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3432 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**6\/720 + x**4\/6 + 3*x. Let f(u) be the third derivative of g(u). Let h(c) = -2*c. What is h(f(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 20. What is h in -16*h - 8 - 3*h**3 + h**3 - j*h**2 + 0*h**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 + 4. Suppose 4*v + 290 = h*j + 3*v, 4*v = j - 39. Let p = -34 + j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200813, -200816, -200819, -200822, -200825?\nAnswer: -200828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7384*d**2 + 13903*d**2 - 7213*d**2.\nAnswer: -694*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-133)\/(-4522)*-561)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 5*d**2 + 6*d + 5. Let w be y(-6). Suppose -5*b + w = -5, -2*k - 36 = -2*b. Is -14 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117.6 + 6.6. Let d = -111.00000061 - k. What is d rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/17)*w\/(w**2\/w))\/(w**1)**(-21\/2) assuming w is positive.\nAnswer: w**(361\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*g**4 + 1116*g.\nAnswer: -336*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 4640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4\/3 + 10088*d**3\/9 + 291536*d**2\/3 + 1134688*d\/9 - 382720\/3 = 0. What is d?\nAnswer: -78, -2, 2\/3, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssccir. Give prob of picking 2 c and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-1)\/(2\/(-1))))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2809 + -2804. Solve -2*v = c*v - 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(3*(-12)\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.478? (a) 4 (b) 18 (c) -25\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.61 and 8.75?\nAnswer: 197.8375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -5*v**3\/6 + v**2\/2 - 15*v. Calculate w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4347, 19879, 45767, 82011, 128611, 185567, 252879?\nAnswer: 330547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 687*m + 684*m + 1 = 0, 0 = 5*x + 3*m - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 583128375 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18584*q - 18578*q + 82 = 2*u, -3*q = -5*u + 157 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607*n = -5*w - 605*n - 21, -w + 5*n + 5 = 0. Let a(c) be the first derivative of -2*c**3\/3 - 3*c**2 + 6*c - 2. Determine a(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-5 - -11)\/(-6)*3. What is the nearest to k in -0.4, -6, -0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144826 + 235039. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 6*z - 2*z + 7*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 1, y: 1, k: 4, m: 3, f: 4}. What is prob of picking 1 c and 1 k?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23020063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0 + 2. Calculate the common denominator of 48\/11 and 114\/(-32)*(s + -1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 3)*(-y**3 - 10*y + 10*y) to q + k*y + a*y**2 + j*y**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0 + f**2 + 1 + f - f**3 + 0*f. Let u(d) = -7 + 6*d**3 + 0*d + 3 + 0*d - 3*d**2 - d. Let w(v) = -3*o(v) - u(v). Determine w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/1667627 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-2) - (-14)\/28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = 3*g. Suppose 0 = -9*x + 11*x + g. What is the closest to 1 in -2\/3, x, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/119260 and -28\/25.\nAnswer: 596300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.0447 and -64.\nAnswer: -55.9553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.4, -10\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 4*g**2 + 12*g. Let i be d(-6). Let z be (-4)\/(-22) + 675\/99. Suppose z*u - 17647 = -i*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 8. Let q be b(7). Let h(t) = t**2 - 6*t - 6. Let l be h(q). Let u = l - 46. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 27 = i, 0 = 4*s - i + 26385969 - 26385994 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5509\/21)\/(9\/27)?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -22*t - 2. Let m(l) = 153641 - 153641 + 567*l**2 - 228*l**2. What is q(m(a))?\nAnswer: -7458*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-18) + (-26)\/(-6). Let a(w) = -2*w**2 + v*w**2 - 4*w**2. Let x(t) = 2*t. Give a(x(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 + 12122313?\nAnswer: 12123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 105*b**2 - 411*b - 38. Let z be q(4). Let v(n) = -8*n**2 - 11*n - 2. Give v(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 80.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 810, 3313, 7480, 13305, 20782, 29905?\n\"Answer: -x**3 + 838*x**2 - 4*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.750016 + 2.85. Let y = 0.1 - q. Round y to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864796.\nAnswer: 2, 13, 74323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 522262\nAnswer: -17\/522262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4545 - 2*f**2 - 4537 + 0*f**2.\nAnswer: -2*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 + 3*u - 5. Suppose 3*l - 48 = -l. Let n(j) = -10*j**2 + 8*j - 12. Let q(m) = l*w(m) - 5*n(m). What is y in q(y) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 20*y + 6*y in the form x*y + s and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(17 + (-1725)\/66 + 9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, 4, -3 in ascending order.\nAnswer: -3, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 65*l**3 + l**2 + l - 2. Let p be m(1). Suppose -7*h - p = 6*h. Is -10 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*h. Let g(z) = h*z + 0*z + z. Let b(m) = 2*m. Calculate b(g(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 208\/12626421 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -208.\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 27. Let m be 4*2 - (5 - 9). Let q = -526 + 530. Calculate the remainder when a(m) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -20*h**3 - 102099208*h**2 - 142938860*h - 40839672 = 0?\nAnswer: -5104959, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3854, 3979, 4104, 4229, 4354, 4479?\nAnswer: 4604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 775449*b. Let q(k) = -11*k**2. Give q(y(n)).\nAnswer: -6614532667611*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -6*b**4\/17 - 28*b**3\/17 + 50*b**2\/17 + 8*b\/17 - 24\/17 = 0?\nAnswer: -6, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(2 + 30\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136132945 by -4355.\nAnswer: -31259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 63 = 3*c - 82, 31 = -i + 5*c. Let a(w) = 25*w**3 - 3 + 6*w - 3*w**2 - 24*w**3 - 3*w. Let x(v) = -v**2 + v - 1. What is i*a(d) + 3*x(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 + 143527*c\/3 + 13655642.\nAnswer: (c + 286)*(c + 143241)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2018646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 2*q - 112. What is the remainder when 45 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -2*s. Let i = -44 - -51. Solve 0 = -2*a - 2*w - i + 1, -s*a + w = -8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*s**2 - 102*s**2 + 11*s**4 + (2*s**2 + 0*s**2 + 0*s**2)*(-237 + 33*s**2 + 237) in the form l + v*s**2 + c*s + q*s**4 + o*s**3 and give q.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14054 divided by 7027?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*10.2\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.468545 * 6\nAnswer: 14.81127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvfc when four letters picked without replacement from {g: 2, f: 3, a: 5, c: 1, v: 6}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3488*y + 895*y + 869*y + 879*y + 860*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 16. Let t be u(8). Let a(d) = -23*d**2 - 6*d - 13. Let v be a(-2). Let z = -91 - v. Solve t*i - 5*i - 4*w = 10, -z*i - 20 = 4*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.322 + 0.378. What is the closest to -4 in -0.2, a, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 254 and -38.084?\nAnswer: 292.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162 - 83. Suppose -6 = -17*y + b. Let x be 2\/(1 + (-7)\/9). Solve 16 = -y*c - x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 93*m**2 + 14320*m - 305. Let k be r(-154). Suppose 2*h - 40 = -2*h. Suppose -y - 3*y = 0. Solve -k*b + 5*v = 12, y = -4*b + 3*v - 6 - h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63.877*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1773\/(-394)*-2*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + x**3 + 415 - 235.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 337978264 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43138328257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least 2\/43530169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 748*n. Let z(h) = -2271*h**2 - 2275*h**2 + 4545*h**2. What is z(p(c))?\nAnswer: -559504*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1469\/5 - -295. What is l in 0*l**2 - 2\/5 - 8\/5*l**3 + p*l = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309224631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 176383050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 1, z: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1777, 4997, 8217, 11437, 14657?\n\"Answer: 3220*s - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 - 2231\/11. Which is the closest to -1? (a) z (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 0.04681.\nAnswer: -0.45319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -355*g - 12446. Calculate u(-35).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**3 + a**2 + 2*a + 1. Let i be t(-1). Let q = i - 9. What is the remainder when 2\/(-4)*(q + -74) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269\/5 - 54. Let l(k) = -2*k**2 + 48*k + 3. Let i be l(24). Put 0.1, m, i in descending order.\nAnswer: i, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6131 to two dps.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43438895*d*k - 24460226*d with respect to k.\nAnswer: -43438895*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434 (base 7) in base 16?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 21*a**5\/2 - 4621*a**4\/6 + 50864*a**3\/3 - 484*a**2 - a - 60. Suppose l(k) = 0. What is k?\nAnswer: 1\/105, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6891*c**2 + 27549*c - 12. What is r(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + ((sqrt(108) - (sqrt(108) + 0)) + -1 - -1*(sqrt(108)*1)**2 - (-3*(sqrt(108) + sqrt(108)*-2 - sqrt(108) - sqrt(108))**2 + 1))*5).\nAnswer: 75555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10325012 (base 6) to base 15\nAnswer: 60e2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61815, -61823, -61831?\n\"Answer: -8*d - 61807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 3, -79, -249, -531?\n\"Answer: -4*b**3 - 8*b**2 + 34*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253500 (base 7) to base 16.\nAnswer: b72d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1\/5, 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.192? (a) 263 (b) -0.4 (c) 24\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 79*o**2 + 233*o + 171. Calculate the remainder when j(-82) is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3007.235 rounded to the nearest 10?\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 4) to base 7.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 - -68. What is the tens digit of 2956\/16 - k\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3466866 millilitres to litres.\nAnswer: 0.0003466866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25875901?\nAnswer: 25875901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 536*c**2 + 4035*c + 7819. Give v(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1511101011?\nAnswer: -1511101004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*u**3 - 990*u**2 + 168*u + 392.\nAnswer: 2*(2*u + 1)*(11*u - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02678957 rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 b when three letters picked without replacement from vxvvvxvxvvxxxbxbxx.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k**2 - k**2)*(k + 0 + 4 + 0).\nAnswer: -2*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -336, 72, -3?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17854 and 0.083?\nAnswer: -1481.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51010 - -5?\nAnswer: -51004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence immi when four letters picked without replacement from imiimm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5394.972ng to milligrams.\nAnswer: 0.005394972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 1) + -10 + 9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 8*s - 2. Let w be m(-7). Let t = 85 + w. Calculate the greatest common factor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 13*v. Let d(c) be the third derivative of 41*c**4\/24 + 64*c**2 - 2*c. Calculate d(z(a)).\nAnswer: -82*a**2 - 533*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 174\/259 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-955)\/(-60) + -6 - 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/(i*i**(-6)*i))**(-15)\/((i**1)**(-2\/11)\/(i**6\/i**(-3))) assuming i is positive.\nAnswer: i**(926\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, 8, 38, 100, 206?\n\"Answer: 2*o**3 - 2*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28 - (0 + 2 + -2 + 3). Which is smaller: 28 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 562*k + 13. Let d(x) = 188*x + 5. Calculate -8*d(o) + 3*l(o).\nAnswer: 182*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*s**3 + s**2 + 27*s?\nAnswer: -114*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 90*c**2 - 3*c - 22. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g + 3. Let l be r(-6). Let a = l - 17. Let d be 1 - a\/20*-2. Is d at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -279\/7 + 1472\/35. Sort -2\/7, b, 0, 2\/3 in descending order.\nAnswer: b, 2\/3, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 83, 128, 175, 224, 275?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.7 less than 385586?\nAnswer: 385716.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) - 5\/(-2). Suppose -3*b - 70 = -r - 0*b, -o*r = -5*b - 230. Calculate the highest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7980\/(-2793))\/((-860)\/168 - -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321976014?\nAnswer: 2, 3, 19, 2824351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*u = -95*u - 8 + 230. What is the fourth smallest value in -3\/2, -1\/50, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2536659850 to the nearest one million.\nAnswer: 2537000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*h**3*x - a*h**2*x + a*h*u**2*x - a*u*x - 16*h**3*u**2 - 6*h**2*u*x + 2*u**2 wrt h.\nAnswer: -18*a*x - 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 4*q**2 + 28 - 2*q**2 as f*q + p + m*q**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -781\/60 - -805571\/61860. Let i = 59756\/7217 + k. Find the common denominator of -70\/3 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = 9*a - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*-2)*-5)\/(sqrt(729) - (1*sqrt(729) + sqrt(729))).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5607, -10545, -15083, -19227, -22983?\nAnswer: -26357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897 - 667 + 176 = -1388*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*v - 17265 + 6287 = 19760 for v.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oop when three letters picked without replacement from {p: 3, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 2 + 5*q + 4 - 6*q**2. Let d(b) = -8*b**2 + 3*b + 5. Let j(o) = -9*o**2 + 2*o + 6. Let h(y) = 4*d(y) - 3*j(y). Calculate 5*h(r) - 4*u(r).\nAnswer: -r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Let p be (320\/2850)\/((-2)\/10). Let z = p + -2\/19. What is the closest to -2\/7 in z, 0.5, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 at most 302\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.06892 plus -563.7?\nAnswer: -536.63108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10612740*x*y - 7962954*y wrt x?\nAnswer: 10612740*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39 + -0.09. Put 1, -3\/2, c in ascending order.\nAnswer: -3\/2, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 15*a - 125. Let y(f) = -f**3 - 16*f**2 - 9*f - 9. Let z be y(-15). What is the remainder when (-4)\/(-18) + (-14630)\/z is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**2 - 1410766210 + 1410766210.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -961*d**3*t + 4046*d*t**2 + 3578216*t**2 wrt d?\nAnswer: -2883*d**2*t + 4046*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w**2 + w - 2. Let b be n(2). Let y = b + 54. Let g be (y - -4)*(55\/10 + -4). Solve k = -g*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1506 and 753.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.0557 millennia to months.\nAnswer: 10404668.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 0*z - 28988 + z + 28988.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f + 8. Let n be 2 + (-1*12)\/(-3). Let v be u(n). List the prime factors of (v*1 - 0) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {o: 2, p: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 844631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2130*c**2 + 4383*c**2 - 2174*c**2.\nAnswer: 79*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, o: 1}. Give prob of picking 2 k and 1 o.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2 + -1)*-6. Let o = -2 + 4. Let z be (14\/(-5) + o)*-5. Solve -z - 2 = -d*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - z = -4, 2*o + z - 5*z = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6593.639 millilitres?\nAnswer: 6.593639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373 = -481*p + 24080 + 7115 for p.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**3 + 19*f**2 + 41*f - 42. Let k(m) = -m**3 + 4*m**2 + 8*m - 8. Let l(t) = 11*k(t) - 2*s(t). Calculate l(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*o + 769 with respect to o.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*d + 75. Let v = d - -36. Solve -x = -4 + v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x - 16. Let w be n(3). Suppose -w*i = c + 57 + 17, 4*i = 4*c + 368. Round c to zero dps.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85687, 171337, 256981, 342619?\n\"Answer: -3*c**2 + 85659*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 6 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, t: 14}. What is prob of sequence tt?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13655, 20088, 30809, 45818, 65115, 88700, 116573?\n\"Answer: 2144*i**2 + i + 11510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 290580572 to the power of 1\/3, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - z + 42 - 2 = 0, 0 = -5*b + z + 93. Sort b, -7, -2, 1 in descending order.\nAnswer: b, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 6*c + 0*c)*(-27 - 24 + 26 - 84).\nAnswer: -218*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-15))**(-1\/5)*v**(-29)\/(v*v*v**(-2\/59)\/v) assuming v is positive.\nAnswer: v**(-9784\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttooo. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/((-3)\/(-6)). Let v = z + 6. Suppose 0 = v*i - i - 222. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 0*l)*(-l - 3 + 3)*(3*l**2 + l**2 + 0*l**2).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1. Suppose -654 + 657 = -3*i. Let o(k) = k**2 + 6*k - 6. Calculate i*o(y) - 4*m(y).\nAnswer: -y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*n**2 - n + 7*n**2 - 17*n + 1328*n**3 - 37*n**2 + 568*n**3 wrt n.\nAnswer: 11376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005646845?\nAnswer: 5, 2447, 163927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3\/5 - 26313*c**2\/5 + 10527*c - 26319\/5 = 0.\nAnswer: -8773, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3816635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 16. Let g = w + -28. Suppose -15 = -3*k, -6 = -3*x + 2*k - 4. Solve -y + 5*i = -13, i - g = -x*y - 4*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*b - 4, 4*x + 6 = 2*b - 22. Suppose f - 4 = 0, r - b*r + 2*f = -247. What is the remainder when r is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 236 - 1?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 10. Suppose -5*v + 4*l = -48, -l + k = -2*v + 3*v. Let j = 0 - -2. Solve j*a + 2*a = -v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 86. Let h = m + 37. Solve 0 = j - 2*k - 7, h*j - 4*k + 10 = -3*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1415.75 - 1546. What is x rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2448 + -2455. Let a = -2.9 - -2.86. What is the closest to 1\/2 in t, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 * 0.141.\nAnswer: -0.6909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16688, -16327, -15726, -14885, -13804?\n\"Answer: 120*u**2 + u - 16809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -18. Let i(x) = -2*x**2 - 14*x - 7. Let m(h) = -h**2 - 7*h - 4. Let b(t) = -3*i(t) + 5*m(t). Calculate b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 528175\/27 + -19569. Let m = 4493\/432 + y. Calculate the common denominator of (2\/4)\/((-8)\/79) and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 2, l: 1, d: 1, f: 2, k: 2}. Give prob of picking 1 f, 1 r, and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 17 + 7 = -3*j, 5*j - 29 = -4*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*f + 31*f + 55. Let j be (-4)\/(-10) + 26\/10. Suppose -f*d - j = p, -5*p - 3*d + 7 = -0*p. Solve 0 = -3*y + p + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131896 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: Multiply -0.5 and -102029.\nAnswer: 51014.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -37*r + 13*r + 13*r - r**2 - 24*r + 21*r + 17*r. Suppose 8 = -2*c - 2*c. Let y(n) = n**2 - 2*n. Calculate c*v(j) - 3*y(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(171) - sqrt(171) - sqrt(171))\/(-6*sqrt(36) + sqrt(9)).\nAnswer: 10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 6738*s + 6743*s + 10, -s + 40 + 18 + 24 = 11*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 = 4*g + 9, o = 4*g + 15. Let s(j) = -2*j**2 + 20. Let w(a) = -a**2 + 7. Calculate o*s(n) - 8*w(n).\nAnswer: 2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*l**3 - 4*l - 2*l - 79*l**3 wrt l.\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = 8. Let z be ((-8)\/(-12))\/(1\/i). Let a be (-10)\/(-20) - (-3)\/z. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 13*y - 13. Let v be z(-14). Suppose 6*o - v + 7 = 0. Let q(s) = s**3 + 3*s**2 + s. Give q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 30 = 4*c. Let p be 5*(-1 + (-6)\/c). Let q be 10\/35*p\/4. What is the second biggest value in 0.5, q, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 - 18. Let m be (-457)\/(-7) + -5*10\/o. Suppose m = 7*f + 2. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - u + 7, -3*u + 7 = 2*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31216, 62427, 93634, 124837, 156036, 187231, 218422?\nAnswer: 249609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83765.\nAnswer: 5, 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6108 + 361. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717610433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-172)\/(-602))\/((-2)\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = -p - 7, -6 = 3*p. Which is the third biggest value? (a) -9 (b) -6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43423 is divided by 244?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 9*g**2 - 8*g - 17. Let f be s(10). Suppose -10*z + 11*z - 6026 = -3*r, -18092 = -f*z + 5*r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2709?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1531085.\nAnswer: -306217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1485 by -27.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94778 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) -8 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6*1)\/((-7)\/(-21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208962 divided by -114.\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/3)\/g**(-1\/2) assuming g is positive.\nAnswer: g**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110687\/48 + 2306. Let t(w) be the third derivative of -v*w**4 - 26*w**2 + 0*w**7 + 1\/120*w**6 + 0*w**3 - 1\/672*w**8 + 0*w**5 + 0*w + 0. Factor t(k).\nAnswer: -k*(k - 1)**2*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -87*g + 42*g + 47*g. Let w be -1 + 3 - (-2 - -2). Let k(d) = d + 0*d + d + w*d. Give o(k(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/11 + 304*x\/11 + 306\/11 = 0. What is x?\nAnswer: -1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260341620 to the power of 1\/2, to the nearest integer?\nAnswer: 35501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35261 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*c**5 - c**3*w - 2*c*w - 9*w wrt c?\nAnswer: 1300*c**3 - 6*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2. Let j(g) = 25*g - 5. What is j(b(v))?\nAnswer: 25*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5447?\nAnswer: 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14531 (base 6) to base 10\nAnswer: -2359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -569 + 575. What is the smallest common multiple of y and 4 + 4\/(-2) + 12?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 87 = n. Let h = -9 - n. Let z = 5 + 5. Calculate the highest common factor of h and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + v + 8. Suppose -l = -v*x + 48, x + 4*x + 3*l = 60. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l + c, 7 = 4*l - 3*l + c. Suppose -3*q - 195 = -l*q. What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5 - 447*p**4 + 30651*p**3 - 738973*p**2 + 7752714*p - 30067560 = 0.\nAnswer: -510, 12, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + 5\/10. Suppose n = -3*t + 3*x + x + 3473, 2*t = -5*x + 2277. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758539926.\nAnswer: 2, 3, 19, 383, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123759 is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 40216, -6, -59 in ascending order.\nAnswer: -59, -6, -0.1, 40216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45064744\/5 or -9012948?\nAnswer: -45064744\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123585081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 770 - 768. What is the nearest to 0.2 in -0.3, 4, m, -158?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 35958 = d + f, 7200 = d - 3*f. What are the prime factors of d?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 2*o**2 + 0*o**4 + 2\/15*o**5 + 0 + 0*o + 0*o**3. Let j(w) = -w**2. Give j(c(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 + 8*d**3 - 171 + 2*d**2 - 2*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wljflldlljljljmjmjjl. Give prob of picking 1 j and 1 f.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89\/23 + 23651\/6118. Sort 3, q, 0.2 in ascending order.\nAnswer: q, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 5*x - 16. Let c be a(-7). Let j = c + -31. Suppose 15*v = j*v - 95. List the prime factors of v.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 155*p**2 + 387*p - 736. Calculate n(75).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3*1*(-35)\/(840\/1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1128*j + 3387*j - 1129*j - 1130*j - 4955*j**3.\nAnswer: -4955*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 1.99. Let h = 5 - 8. Let y(s) = s**3 - 5*s**2 - 7*s + 2. Let w be y(6). Sort x, h, w in increasing order.\nAnswer: w, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1934 + -1826. Calculate the greatest common factor of 78 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 17*l - 7. Let c(b) = 6*b - 2. Give 3*a(r) - 8*c(r).\nAnswer: 3*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:18 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 + 107. Is 41 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2347160, 4694319, 7041478, 9388637, 11735796?\nAnswer: 14082955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 3 (c) 0.1 (d) 1\/4 (e) -4 (f) -576 (g) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a + 4, -5*o - 4*a = 74. What is the common denominator of -41\/60 and o\/14 + 1*(-106)\/(-24)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.453*55\nAnswer: -24.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 75 = i. Suppose 2*m = i*m + 3*z + 1, -3*m - z + 13 = 0. Solve 0 = 2*h + m*a - 8, 12 = -4*h + 3*a + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(3\/1) + -1. Let h = l - -4. List the prime factors of h\/5 + (-2)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(2\/35)*l**(29\/4)\/((l*l**16)\/l) assuming l is positive.\nAnswer: l**(-1257\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 4*u = -12*r - 0*u - 10, -2*u - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 47, 2, -118 in increasing order.\nAnswer: -118, 0, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(15\/(-103)) - (-54)\/(-90). Suppose q*r - 24*r = 0. Let n be (r - 1)\/(0 + 3\/(-48)). Which is greater: 15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 3812*f**2\/7 + 1269074*f\/7 + 16765488.\nAnswer: 2*(f + 197)**2*(f + 1512)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/18491 and -4\/18491.\nAnswer: 18491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 77 = 2*u. Solve -1 = y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*k - 49*k - 24 = 28*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186 in -63, -4, 12, 4?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 122458?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 y, and 1 a when four letters picked without replacement from {a: 3, y: 5, h: 1, z: 2, i: 7}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:01 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*a**3 - 1725*a**2 + 1725*a**2 - 413*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(272)*-5*5 + ((sqrt(136) - (sqrt(136) + sqrt(136)*1))*4)\/(2*sqrt(8)*3).\nAnswer: -1202*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3753*y = 3749*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441117089.\nAnswer: 3, 219649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19368 divided by -405.\nAnswer: -2152\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 6*v + 3*v + 0*v - v**2. Let p(b) = 168*b**2. What is u(p(y))?\nAnswer: -28224*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 + 231. Suppose 0 = -5*z + l + 2, 0 = z - 3*l + l - 4. Let n = z - 0. Sort w, n, 3 in descending order.\nAnswer: w, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 28 - 325. Suppose -115*m = -q*m - 64. Solve -3*w + 3 = 3*o, 2*o = -w + m*o - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 1, o: 2, t: 1}. Give prob of picking 1 t, 1 y, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46956 and 4255524?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 14*o**2 + o - 9. Let i be y(14). Solve c - 3*d = -0*d + 1, -2*d = i*c - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**3 + 33080*g - 74638*g - 2*g**3 + 69449*g)*(-3*g + 0*g + 2*g) in the form s*g**4 + b*g + w*g**3 + i*g**2 + l and give i.\nAnswer: -27891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 14. Let w be c(6). What are the prime factors of 534\/7 - w\/(-84)*3?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - r**2 - 2*r - 1. Let w be d(2). Let y = -3 - -6. List the prime factors of (7 - 3 - y) + w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/109 or -1?\nAnswer: 10\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13403, 53643, 120725, 214649, 335415, 483023, 657473?\n\"Answer: 13421*d**2 - 23*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.88248 days?\nAnswer: 335446.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s - j - 4*j, 3*s - j = 11. Suppose -2*p = 5*k - 28 - 27, -3*k - 71 = -s*p. Let q(c) = 6 - 2 - c - 4. Let a(w) = -8*w. Calculate p*q(g) - 3*a(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32533 divided by 115.\nAnswer: 32533\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6019 and 59\/7?\nAnswer: 42133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48579465?\nAnswer: 3, 5, 11, 41, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 divided by -149?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 2. Let z(n) = n**2 - 10*n + 46. Let y be z(12). Let v = 74 - y. Which is the smallest value? (a) v (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757676426.\nAnswer: 2, 13, 43, 337, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51789 and 48007.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 81. What is j rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l + 24*l**5 - 10*l)*(2 - 3 + 3) - 2 + 1 - 4*l**5 + 2*l**5 - 4*l**5 - 5*l**5 + l**5.\nAnswer: 38*l**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38193078 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3\/4 - 9*m**2\/2 + 21*m\/4 + 19\/2 = 0.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 358*z + 320*z - 638*z. Let r(y) = 3*y**2. Give r(x(l)).\nAnswer: 4800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*d + 2*x - 43, 4*d + 4*x - 104 = 0. Let h = d - 19. What are the prime factors of (2\/h)\/(7\/2688)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 43*a**7\/35 - a**6\/120 + 1981*a**3\/6 - 4274*a**2. Differentiate j(v) with respect to v.\nAnswer: 1032*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4, -4, 1, 0.4 in decreasing order.\nAnswer: 4, 1, 3\/5, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*x + 6 = 0, -5*z = -5*x - 0 - 15. Suppose -5*v + 23 = 2*w, -z = -2*v + 5*v - 3*w. Which is the third biggest value? (a) v (b) 4\/11 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:18 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133*h + 8658 + 27499 = -45919 - 5165 for h.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -23*b**10\/5040 + b**6\/72 - 7*b**3\/3 + 5. Let p(m) be the third derivative of a(m). Find the third derivative of p(i) wrt i.\nAnswer: -2760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*b**3 - b - 2*b - 387*b**3 - 55*b**3 - 203*b**3.\nAnswer: -729*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -6*x - 33*x. Solve 4*t - x*m = 6, 5*t - m - 8 = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1278 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2452 at most as big as -866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2256147mm to kilometers.\nAnswer: 0.0000002256147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281598 + 124*h**2 - 281598.\nAnswer: 124*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:24 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -178 - 184 - 3*h + 358. Let i(x) = -x**2 - x - 1. Determine 2*i(o) - m(o).\nAnswer: -2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222 or 10250\/11?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -34588463*k. Let y(j) = -28*j. Determine x(y(a)).\nAnswer: 968476964*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217*r**2 - 3*r**3 - 217*r**2 - 3)*(-5*r + r**2 + 5*r).\nAnswer: -3*r**5 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = 4. Let r be (2\/(-6))\/(n\/12). Does 14 divide (-2)\/r + 4 + 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9937 - 84*h**2 - 19880 + 9943 in the form k*h**2 + v + q*h and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5*x**2 + 751 + 294 + 360.\nAnswer: -5*x**2 + 1399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*w. Let i(g) = g**2 + 3. Is i(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 0, 9, 24, 45, 72, 105?\n\"Answer: 3*q**2 - 6*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 15*f**2 - 14*f + 35. Let n be a(-16). Suppose v = -r, 4*v = n*r + 2*r. Solve 20 = -g + 4*z, -4*g + 4*z - 5 - 27 = v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/7682157 and 85\/55972.\nAnswer: 30728628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 858?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -344*r + 2*r**2 - 4*r**2 + 262*r as m + d*r + i*r**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/6309962 and -14\/305.\nAnswer: 31549810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103002 (base 9) to base 10.\nAnswer: -1124120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 21 - 33 = -3*u, 0 = -2*u - 3*a + 39. Which is smaller: -1\/5 or u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7270570 to the nearest 10000.\nAnswer: 7270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4 - 1609251*i**2 - 914037*i.\nAnswer: 36*i**2 - 3218502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 17 - 22 = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 28\/3*f**3 + 1 + 16*f - 43\/2*f**2. What is the first derivative of i(b) wrt b?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 3186.\nAnswer: 3185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027028228484 rounded to five decimal places?\nAnswer: 0.02703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122322 (base 5) to base 12.\nAnswer: b929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*x**2 - x + 30*x**2 - 2*x + (9 - 9 + 36)*(x - x - 2*x**2) to the form r + h*x**2 + u*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:04 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s**2 - 36*s**2 - 4 + 2*s - 45*s**2 - 43*s**2 = 0 for s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174.6 + -174.6973. What is k rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2670685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46102 - 46097.5598. Round m to 2 decimal places.\nAnswer: 4.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -879828 or -879827?\nAnswer: -879827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - -0.81. What is the nearest to l in 2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 + 0 - (-44 + 32))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -212*t + 26. Let x(j) = -3. Let v(d) = -a(d) + 4*x(d). Differentiate v(q) wrt q.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 8*m**2 + 8*m + 2. Let r be t(-5). Let w = -22 - r. Let c = 24 - w. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -133. Suppose 0 = -w + 4 - 35. Let x = c + w. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 2*w. Find the third derivative of -6*m**6 + 11*m**w + 37*m - 37*m wrt m.\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -5. Let o(l) = -l**2 - 6*l - 1. Let p be o(i). Let x(t) = t**3 - 6*t**2 - 3*t - 3. Is x(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 213157 and -7.\nAnswer: 213150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(-5 + sqrt(55)\/(sqrt(11)*2) + sqrt(180)*3 + -2 + -1))**2.\nAnswer: -63936*sqrt(5) + 383454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:21 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3\/2, 0.1, 10, -3 in decreasing order.\nAnswer: 27, 10, 3\/2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -494 + 491. Which is the third smallest value? (a) l (b) 12 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -1 (b) 17 (c) 95 (d) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(147))**2 - (sqrt(108)*-1)**2) + 3.\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p + 2. Let c be o(0). Suppose 228 = 5*h - q, 0 = c*h - 7*q + 3*q - 102. Suppose h = 8*r - 3*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 37\/9, -2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88062, -176149, -264224, -352281, -440314, -528317, -616284, -704209?\nAnswer: -792086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 + 174. Solve 4*s = l + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7355040 and 42?\nAnswer: 7355040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9574 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17225208 and 22944.\nAnswer: 68900832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -27*f + 12*f. Let z(n) = n**2 - 7*n + 3. Let w be z(7). Calculate the highest common divisor of w and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/64 and 143\/28698336.\nAnswer: 57396672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -3\nAnswer: 127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 11) in base 10?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/15 + 26*y**3\/5 - 86*y**2\/5 - 9902*y\/15 - 8372\/5 = 0 for y.\nAnswer: -7, -3, 23, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqgqggqqggg.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 165*p - 1387. Determine b(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4496 and 333774048?\nAnswer: 4496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x - 27*p + 276, 73*p - 72*p = 4*x - 146 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 17 - 3)*(3 + 0 - 1)*(2*v**4 + 4*v**4 - 4*v**4).\nAnswer: 196*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1089909090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352*i + 114*i + 107*i to the form k + r*i and give r.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 39. Calculate the least common multiple of 14 and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -8. Let f = 9 - m. Let g(p) = -3*p + 9. Let v be g(-7). Calculate the greatest common factor of f and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 210?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 110 = -c, 9*w - 7*w = -6. Suppose -615 = -13*a + c. Calculate the highest common divisor of 208 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c396 (base 13) to base 3.\nAnswer: 1101000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 258, 680, 1298?\nAnswer: 2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 51.92. Let q = k + 0.08. Let h = 4 + -4. Which is the second smallest value? (a) q (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d + 44*d = -64380. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -3404?\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 17, -5, -2 in descending order.\nAnswer: 17, -2\/19, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*g**3 - 8*g + 7*g**2 - 10*g**3 + 8*g**2 - 16*g**2 + 2*g**4 in the form z*g**3 + b*g + k*g**4 + x*g**2 + a and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 16. Calculate the remainder when y is divided by 6\/4 + 182\/28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 8) in base 13?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29 - 0)\/(-2 - (-9)\/4). Let i = -69 + w. 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 48\/(-84)*7\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, p: 1, a: 1, u: 4}. What is prob of picking 1 p and 2 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 12472109 and 12472108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -664 - -4*(-35)\/(-28). Let w = 850 - k. List the prime factors of w.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 3*a**5\/20 - 5*a**4\/12 - 5*a**3\/6 + 5*a**2\/2 - 14*a. Let o(l) = -4*l**3 + 7*l**2 + 7*l - 7. Determine 7*n(m) + 5*o(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 203324 = -6*s + 39*s. What is the remainder when s is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76157 and 398.\nAnswer: -30310486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6450 and 774.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10*t + 88 = 256 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - c = -340, 4*k - 369 - 311 = -3*c. Does 22 divide (-15)\/(-20) - k\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60807 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731753236?\nAnswer: 2, 17, 10761077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/5 of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*t - 648 = -355*t + 696*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*b**3*u**5 - 30*b**3*u**2 - 2*b**3*u + b**2*u**5 wrt u?\nAnswer: 1200*b**3*u**2 + 60*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 4. Let o be -1*(1 + -2)*k. Let t = o + 3. What is the least common multiple of t and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -83*p + 8982. Let q be f(108). Solve 11*c - q = 59 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*r**2 + 480 - 34*r**2 - 96*r + 33*r**3 - 420*r**4 + 417*r**4 = 0. Calculate r.\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -15486\nAnswer: 1\/5162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2 - 18115065*a - 126805602 = 0.\nAnswer: -7, 6038362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -309981738.11 and 5?\nAnswer: 309981743.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*s + 212 = -159, w + 5*s = -178. Which is smaller: w or -182?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59137?\nAnswer: 13, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 20*f + 23. Calculate b(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3174, -14075, -24976?\nAnswer: -35877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 71. Let s = 7.7 - 7. Let b = -5.7 + s. What is the nearest to -1 in b, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 39. Give u(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 25 = -23. Let r(w) = w**3 - 3*w - 5. Let s be r(q). Is s >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, n: 1, t: 2, v: 1, i: 4, u: 1}. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -2*sqrt(136))*6)\/sqrt(8).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-14)\/(-112)*-34)\/(6\/12))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3 + (-4)\/2. Let v = 1196 - 1056. Suppose v = 3*q + d*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 167 - (-673 + 435)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - -22 - 5) - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 16826 - 16826.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -2*d**4 + 2*d**2 - 21*d - 74. Differentiate i(r) wrt r.\nAnswer: -24*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 3, h: 5, d: 2, r: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2. Let k(u) be the third derivative of -1\/12*u**4 + 0*u**3 + 0*u - 4*u**2 + 0. Calculate d(k(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1552 and 0.3.\nAnswer: 465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 4*v - 9, 5*u = 4*v - 2 - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p - 46. Let t(s) = s**2 - 37*s - 85. Let c be t(39). Give v(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*i - p, -2*i + p - 6*p = -24. Let q be (3 - 4)*i\/(-1). Solve l - q = -v, -5*l + 0*v - 17 = -4*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12 - 891870\/(-72))*-4)\/((-1)\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20430 - 20725. Which is smaller: -291 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -103*g**3 - 15*g**2 - 3*g + 1. Is x(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/43 (c) 4\/3 (d) 2 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 1 - 8\/2. Solve 16*y = 21*y - q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 3031*o**4\/2 + 1707*o**2\/2 - 3863. What is the second derivative of n(z) wrt z?\nAnswer: 36372*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 598?\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 2. Let v(r) = 7 + 2 - 6*r - 1 + 3. Calculate 22*j(q) - 4*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 15 - 140)*(4*c + 2*c - 4*c) + 4 + c - 4 + (-3*c + 2*c + 4*c)*(5 + 0 - 4) in the form f*c + l and give f.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84984 and 5679764?\nAnswer: 34078584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 3*g + 4. Suppose -h - 13 = -5*k, 7 = -3*h + 2*k - 6. What is the tens digit of u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 3*p**2 + p**2 + 10*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7463146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -52, 5, 1786?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 41. Suppose 2*w = 3*s - 0*w - z, 5*w = -2*s + 10. Suppose -f + 6 = -s. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**(-2\/133)\/(r**6*r*r*r**(-2\/5)*r*r))\/((r**(2\/13)*r)\/r**6*(r**(-1)*r)**(-9)) assuming r is positive.\nAnswer: r**(-82129\/17290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3689 + -2479. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 30*k**2 + 5*k - 7. Let x(t) = -15*t**2 - 2*t + 3. Determine -6*i(a) - 14*x(a).\nAnswer: 30*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -2, -106, -5, -33, 5, 6.8?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-48) - (-10)\/(-8)*(-808)\/(-48).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/7320 and 29\/180336?\nAnswer: 55002480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1251102, 1251098, 1251096, 1251096?\n\"Answer: h**2 - 7*h + 1251108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 11536?\nAnswer: 11533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300992 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = 0, 20*i - 4*f - 61 - 62 = -99 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-147078\nAnswer: 58831.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by 1?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eueeeeee. Give prob of sequence eee.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 64332 - 64332.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.652 + -69.652. Which is the fourth smallest value? (a) 2 (b) p (c) 4 (d) -1\/2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnbb when four letters picked without replacement from {x: 1, n: 1, a: 2, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 20*p**2 + 53*p + 1072. What is the remainder when 2898 is divided by f(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + ((-575)\/20 - -3) - -5 and -65\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -113.93. Let i = g - 0.07. Let y = -5.00000018 - i. What is y rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*v + 31*v = 37 + 87 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 117*k\/2 + 58.\nAnswer: (k + 1)*(k + 116)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + (17 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**3 + 31*v**2 - 16*v - 11. Let a(t) = 4*t**3 + 11*t**2 - 6*t - 4. Let j(b) = -8*a(b) + 3*k(b). Suppose 0 = 13*r - 574 + 639. Determine j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + 22 - 7447*-2 is divided by 233.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 2*w + 6. Let u be h(10). What is the common denominator of -119\/6 and u\/(-32) - 3\/(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 156 = 668. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5574.12 minus -3042?\nAnswer: 8616.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g**2 - 172*g + 512. Calculate l(3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-31) - (-128)\/1860?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/84*(-3)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skcs when four letters picked without replacement from kssc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 284 = -5*g - 4*a, -115 = -2*g - 3*a. Calculate the remainder when 17 - -14*(-16)\/g is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2. Let w(o) = 8*o**2 - 790*o + 666. Calculate w(p(g)).\nAnswer: 32*g**4 - 1580*g**2 + 666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -14 (c) 2\/13 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) -4\/5 (c) 15 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15070\/6850)\/((-23)\/(-290)) - 28.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 23, -0.2, -14, 14\/17?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(425) + 2) + -4 + sqrt(1088)*-1 + 3.\nAnswer: 29 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/11, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 + -268. Let j be 0 + (-60)\/(-189) + (-2)\/9. Which is the biggest value? (a) j (b) -10 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 2*v. Let q(f) = -10*f**2 - 7*f. Let p(j) = -6 + 24*j - 9 - 25*j. Let z be p(-21). Determine z*q(y) + 21*x(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -21, -123, -329, -675?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 251*o**2 + 191*o - 110261. Calculate d(250).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128509657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84368 greater than or equal to 84363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 2*h - 5*h)*(-5*h**2 - 3*h + 3*h + (-h + 0*h + 2*h)*(3 - 2*h - 3)) + 3*h**3 - h**3 - h**3 in the form i*h**2 + l*h + t + g*h**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 24. Suppose -r*a + 4*a = -81. Let i(v) = v**2 - 6*v + 2. Let y be i(7). Calculate the highest common factor of a and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -15 - (-252 - -221) - 57\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) + (2*sqrt(1000) - sqrt(1000)) + sqrt(1000) - sqrt(1000) - sqrt(810)*1)\/(sqrt(180)\/sqrt(4)*-6).\nAnswer: -11*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 7 - 16. Let z(s) = 3*s - 2*s - 1 + 2*s. What is z(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l + 19*l + 20*l)*(-2*l + 6*l - 3*l) + (3 - 1 - 1)*(-l**2 - 3*l**2 + 2*l**2).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30133 - -10?\nAnswer: 30203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 2. Let p(s) = -s - 2. Let d(i) = -8*i + 2. Let l be d(3). Let x = l - -19. What is x*p(q) + 2*w(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*r - 491, -3*q + 3*r = 720 + 69. Let n = q - -401. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(6*j - 4*j + j) + (2*j + 2 + 0 + 3)*(-1 + 0 + 3).\nAnswer: 10*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 6*w = -10*w - 17*r - 3, 0 = 2*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -507*k**2 + 24621*k + 10878.\nAnswer: -3*(k - 49)*(169*k + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 530465 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: -5100 (base 8) to base 4\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4744 - 4?\nAnswer: 4740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 299\/7. Let a be 33\/(-12)*(-172)\/473. Sort i, -1.6, a in increasing order.\nAnswer: -1.6, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000657 to five dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/309933 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/14))**(-9)\/((k*k**(-19))\/k*k*k**(-18)) assuming k is positive.\nAnswer: k**(495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255.575ug in milligrams?\nAnswer: 2.255575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5\/7 - 66*w**4\/7 - 312*w**3\/7 - 366*w**2\/7 + 45*w + 432\/7 = 0 for w.\nAnswer: -16, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474 - 10*p + 1474.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 6*x + x - 6*x)*(6 - 8 + 4 + 6*x).\nAnswer: -24*x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4062 + 4061. Put 0.099, o, 1 in decreasing order.\nAnswer: 1, 0.099, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 32*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 8*l + 4. Let i be q(7). Let z = 52 - i. Are 3 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4774 + 4773.7. What is the second biggest value in 0, 32, -1, h, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 754.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (21 - 0 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139167?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 = 2*k + 7, -15 = b + 5*k. Sort b, 1, 1\/7 in ascending order.\nAnswer: b, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52*((-7)\/1)\/(-28)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*-1*(-396)\/(-330)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**5 - 7*j**4 + j**3 - 4*j + 7. Let a(w) = -3*w**5 - 5*w**4 + w**3 - 3*w + 5. Let q(z) = 7*a(z) - 5*g(z). Determine f so that q(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, -2 in ascending order.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k**3 + 6*k - 6. Let r = -562 - -617. Let d(u) = -80*u**3 + 55*u - 55. What is r*a(i) - 6*d(i)?\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2137, 3, 5, -1 in increasing order.\nAnswer: -1, 3, 5, 2137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 5, 3, 2, 166, -1 in decreasing order.\nAnswer: 166, 30, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8090*f**3 + 16091*f**3 - 3580*f**3)*(-1 - 1 + 1)*(-3*f - 4*f + 6*f) as j*f**4 + v + n*f + c*f**3 + u*f**2 and give j.\nAnswer: 4421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369203 is divided by 1861.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 637 (base 8) to base 10.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (8 - 9)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*b - 0*b. Let n be (-22)\/(-6) - b\/(-6). Suppose 3*q - 45 = n*y, -2*q + y + 26 = -3*y. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 6 in decreasing order.\nAnswer: 9, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 39 = 1. What is the remainder when 56 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1078 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/83241 and -7\/18?\nAnswer: 166482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -11, 0.1, 4\/3, -1.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 10*w**2 + 13*w + 112. What is the remainder when m(-12) is divided by 114?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201546 - -1461?\nAnswer: -200055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 243. Calculate the remainder when 403 is divided by g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1 + (-5 - -4). What is the units digit of (-1)\/1 - (v + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -28. Let x be (h - 15)*550\/(-15). Round x to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15748868*4.\nAnswer: -62995472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 10}. Give prob of sequence pppg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 1. Let y(i) = -3*i**2 - 8*i + 8. Let n = 1652 - 1647. Calculate n*y(b) - 40*u(b).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14 - 22\/14) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223110 + 121030?\nAnswer: -102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 6*r**2 + r**2 + (100*r - 443 + 443)*(-3*r + 4*r - 2*r) - 2*r**2 - 1 + 1 as g*r + a*r**2 + n and give a.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*h - 3*h + 33, -h = -n - 9. Let l(d) = d**2 - 8*d. Let y be l(5). What is the units digit of n\/y - 33\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323626003 = 42*j - 2574406003. Round j to the nearest one million.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from ybddbvlhddbd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 0)\/(9 - 3430\/380) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0 + 6. Suppose -4*s + 4*r = 52, w*s + 4*r - r + 63 = 0. Let d = s - -31. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6120.2 - 6120. Which is the smallest value? (a) -42\/5 (b) h (c) -0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 4*t**2 + 2. Let g be s(4). Let z be g - 1 - 0 - -11. Let n = z - 8. Let h(i) = i**3 - 4*i**2 - 2*i + 2. Determine h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i. Let g(x) = 6*x. Let p(n) = -5*n. Let l(t) = -4*g(t) - 5*p(t). Determine l(z(o)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 4 + 5 + 1. Suppose 0 = -13*l + 11*l - b. Let y(v) = -6*v**3 + v**2 + v. Give y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -26 + (-242 - -345)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -15.\nAnswer: -15, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/(-70))\/(9\/(-12)))\/((-60)\/2300*-529)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from {h: 1, z: 1, e: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8956 is divided by 153?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (2 + -5 - -4). Suppose 2*x + 329 = 5*o, 7*o - 5*o = -z*x + 124. Let y = o + -32. What is the least common multiple of y and 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/12 + 31*k. Suppose q = -5*g + 25, 0 = g + 5*q - 3*q - 14. Let n(h) = -12*h**2 + g - 8 + 4. Give n(v(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239366.\nAnswer: 2, 29, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 140\/(-15)*(-6)\/4. Let b be ((-148)\/y)\/((-4)\/28). Suppose -c - c = -b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 1 q when three letters picked without replacement from qqqqqbqqqqqqqqqqqqi?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-8 - -9))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702229919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 33 - 7*h - 10. Let i be o(-8). Solve u = -6*u + i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 237\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-18))\/((-9)\/6) - (-55)\/3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8155374757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-3) + (-546121)\/(-117501).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 21*m + 39 = 0. Put -2, m, -3 in ascending order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1736)\/216 + 8)\/(1360\/96 - 14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 746 by 2.\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Let h(f) = 10*f + 0*f**2 - 40*f + 18*f - f**2 - 6. Let s be h(-9). Solve 5*z = -r*o + s, -o - z = 3 - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437035704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 46*b + 1. Is y(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41622327613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-587)\/1174)\/(2*(-1)\/1495396) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.1747 millennia in years?\nAnswer: 235174.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Let l(w) = w**3 + w**2 - 2*w - 6. Let r(i) = -i**3 - 2*i**2 + 45*i + 0*i**2 - 44*i + 6. Let j(s) = 5*l(s) + 4*r(s). What is j(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/88 and 47\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 0. Let t = 2.3 - 0.3. Which is the third biggest value? (a) h (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1, -0.06, -136, 0.115, -5 in decreasing order.\nAnswer: 4\/3, 1, 0.115, -0.06, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1610*v + 12550. Calculate t(-8).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 6*c**2 - 254*c - 2*c**2 - 80*c as p + j*c + l*c**2 and give j.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - 12\/(-2))*-16. Suppose 2*u = 6*u - 12. Solve -2*l - u*d = -s, -3*d - 2*d - 5 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6893 - -137829\/20. Calculate the common denominator of 77\/(-16) + 2 - (-2 + 2) and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**3 - 9*z**2 + 38*z - 101. Calculate the smallest common multiple of 1507 and h(7).\nAnswer: 12056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165.173 + -164.5. Let l = 1.184 - i. What is l rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-27) + 41\/3. Let q = t - 4. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.148.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9333\/5 + 51\/15 + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (300\/16)\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 + 63?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38.6 + -38. What is the nearest to 2\/5 in -4, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22363 - -22328.982. Let c = f - -34. Round c to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) -1\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 5*c + 40 = 0. Let v be (-14)\/(-18) - 4\/(-18). Let d = c - v. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 657941668027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 593 - 511. Calculate the highest common divisor of b and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5140008 divided by 17.\nAnswer: 5140008\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2849, 11323, 25427, 45161, 70525, 101519, 138143?\nAnswer: 180397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 907868124 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (67*(-4)\/8)\/((-8)\/16). What is the smallest common multiple of 8 and -8 + (b - 6\/2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 37\/4 (b) 4 (c) 4\/9 (d) 2.5 (e) 0.2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22738.293 microseconds to hours.\nAnswer: 0.0000063161925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-119)\/(-952)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17136214897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-143)\/(-26) - (-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201455013.\nAnswer: 3, 179, 375149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 7*h + 70. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*s - 7 = 0, -5*a - s + 33 = 3*s. Solve 2*x - 21 = 5*z, 21 = 2*x - a*x - 3*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - p**2 - 4*p**2)*((0 + 0 - 2)*(41 - 175*p - 41) + p - 2*p + 2*p + 0 - p + 0).\nAnswer: -350*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 23. Suppose -4*u - x*d - 14 = -2*d, -5*d = -2*u - 37. Let m be (-2 - 28\/u)*6. Solve -m = -w - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 3. Let z be b(-3). Suppose -5*o + 0*o - 30 = z. Let x = 8 + o. Solve 8 = x*r + 2*p, 0 = 2*r - 7*r - 2*p + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*a**2 - 10*a - 190*a**2 - 186*a**2.\nAnswer: -2*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272 - 273 + 33*n**2 - 129 - 36*n**2 - 42.\nAnswer: -3*n**2 - 716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:10 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -18, -22, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173965428 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 + 1313962*u - 1313962*u.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4428 and -59\/7626?\nAnswer: 137268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4541090798.\nAnswer: 2, 79, 257, 111833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*k - 157 = 7721 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 4:13 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.01 + 2. Let b = y + -0.29. Let q = 16.3 - 19.3. What is the second biggest value in b, 3, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, 5, -4 in decreasing order.\nAnswer: 21, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**7\/4 - 4*j**6\/5 + 33*j**5\/40 - j**4\/4 + 10*j. Factor x(d).\nAnswer: 3*d**2*(d - 1)**2*(7*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sosooototsssstss. What is prob of sequence ostt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from vicvivvriivvivvvwccv.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 32237160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10912*k**2 - 10913*k**2 + 21828*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 12*a**2 + 10*a + 115. Let t be g(-12). Suppose 0*p = -3*p - 18. Let n(u) = -2*u + 1. Let f(k) = 2*k - 2. Determine p*n(o) + t*f(o).\nAnswer: 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:37 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -r + 15, -2*r + 9 - 3 = 2*a. Let v = 992 + -977. Are v and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 5. Let l(g) = g + 2. Let n(y) = -y - 3. Let m(s) = -3*l(s) - 2*n(s). What is 4*m(d) - z(d)?\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45285.\nAnswer: 3, 5, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 26 + 5*o**2 - 7*o**2 - 15.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/26406240 and -11\/18484368?\nAnswer: 184843680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*(5 + -39 + 44)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93099461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 83925 = 3*r - 97386, 2*m - 2*r = 90666. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91533.15 centuries in decades?\nAnswer: 915331.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/((-17)\/((-136)\/80)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*u + 5*w - 25, 0 = u + w - 5. Suppose 7*q = 6*q + u. Solve 3*m - 4*g = -9*g - 29, q*m - 2*g = -4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -444298.\nAnswer: -14\/222149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97*h**2*l + 5822*h**2 - 2*h + 93*l**2 wrt l?\nAnswer: 97*h**2 + 186*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2059558 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66, -292, -684, -1248, -1990, -2916, -4032?\n\"Answer: -u**3 - 77*u**2 + 12*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/12 + 7*t**3 - 17*t**2. Calculate the remainder when 61 is divided by j(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + a + 1. Let f be m(-2). Suppose -d + f = -7. Suppose 3*v - 12 = 0, d = 5*j - 5*v - 26. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*s + 679 = 4*v + 678, s = 4*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 19*h**2 - 641*h + 117. Does 33 divide o(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 2. Let v be f(9). Suppose 2*s - 19 = -p, 2*s - v - 2 = -5*p. Let a = 74 - p. Round a to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a + 3*a - 9*a + 2 - a - 2 + (3*a - 3*a + 2*a)*(3 + 2 - 7) - 3*a + 3*a - 2*a + 6*a + 0*a - a - 6*a - 9 + 9 to the form l*a + x and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -239, -456, -739, -1088, -1503, -1984?\nAnswer: -2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -174, -262?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 + -8.79. Let u = -9 - g. Which is bigger: u or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101581388 is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 125861 - 0.2?\nAnswer: 125860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:22 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 + -105. Calculate the highest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51488 is divided by 93.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -4 + 8 + (-1)\/(-5). What is the closest to 2 in -1\/9, -0.5, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10138 and 21282.\nAnswer: 11144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6\/13, 3901, 5, 0 in descending order.\nAnswer: 3901, 5, 0, -6\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/2*(-96*15\/630)\/((-18)\/21)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1453 + 2?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.3, -5.2, -2 in descending order.\nAnswer: 9, -0.3, -2, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 6*c - 2. Let t(l) = -l + 20. Let h be t(13). Let m be f(h). Let k be 3 + 6\/(4 - 1). Calculate the greatest common factor of k and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 + -419a15?\nAnswer: -419920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 8184\/108 + (-8)\/(-36)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 3*b**2 - 2*b**2 + (-2*b + 2*b + 2*b**2)*(-2 - 2 + 2) - 40*b + 22*b**2 + 40*b + 3 - 3 + b**2.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232 + 4874\/21. Let k(l) be the first derivative of 0*l - f*l**3 - 4 + 0*l**2. Determine h so that k(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 43*n + 396. What is o(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (39 + 1 - (-680 + 661)) + 39\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1. Let w be q\/(1\/(-1)) + 1. Let i = -7 + 6.7. What is the closest to -2\/7 in w, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/310 and 10\/(-10) - (-2)\/(-160)*-1?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -348660 rounded to the nearest one thousand?\nAnswer: -349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let u = 14 - f. What is the remainder when ((-966)\/10)\/(-3) - (-20)\/25 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.9741kg in tonnes?\nAnswer: 0.0829741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 7 + 10)*(-g + g + g)*(-g**2 - 25*g**2 + 5*g**2).\nAnswer: 126*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/4 + 11*k**3\/3 - k**2\/2 + 15*k - 2. Let h be d(11). Solve 0 = 2*b + u + 4 - 17, 0 = -b + 3*u - h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328499537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -40 (b) 0.3 (c) -0.1 (d) -1\/3 (e) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 24*a**2 + 3*a - 105. What is the thousands digit of m(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 687.\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169656 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.6637 millennia to months.\nAnswer: 403964.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a + -13295?\nAnswer: -13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-21)\/(-30)) + 594\/220. Sort r, 1, -15 in ascending order.\nAnswer: -15, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -561, 743, 3 in ascending order.\nAnswer: -561, -19, 3, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. What is the fourth biggest value in -0.3, 0.1, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-7) - -2*(-10)\/20. What is the third biggest value in -0.5, 2, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 3*k - k - 5*k**4 - k**2 + 6*k**4 - 2*k**3 in the form t + c*k**2 + b*k**4 + m*k**3 + h*k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a - 50 = 0. Let c = a + 13. Does 19 divide c\/12 - (-717)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2. Let v(f) = 12*f - 26*f + 12*f. What is v(r(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/((-3)\/(-10)). Let f be (66478\/(-210) - 3) + 30\/70. Let w = 319 + f. What is the nearest to 0 in l, w, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j. Let a(c) = 208*c**2. What is s(a(x))?\nAnswer: 3328*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -119. Let o(x) = -x**3 + 4*x**2 + 3*x - 2. What is the remainder when 83 is divided by o(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130 = 9*i - 328. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6, -2*m + 5*m = -4*s - 18. Let t be s + 12\/2 - 1. Suppose 0 = 4*l - 10 - t. Solve -4*f = -f + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -142, 6\/11 in descending order.\nAnswer: 6\/11, -2\/5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 455, 946, 1439, 1934, 2431, 2930, 3431?\n\"Answer: g**2 + 488*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 30*o**2 + 17*o - 19. Let j(p) = p**2 - p. Let u(i) = c(i) + j(i). What is the tens digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44 and ((-14)\/(-5) - 3) + (-358)\/110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + g - 20, -5*d + 5*g = -54 + 4. Suppose -104 = -d*h + 56. What is the highest common factor of h and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**6*o))\/(o*(o\/o**(2\/9))\/o))**(-2\/11) assuming o is positive.\nAnswer: o**(104\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 + -2. Let j = c - -179. What is the lowest common multiple of j and 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 5571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 726 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*b + 6*b. Let u be (-2 - 21 - -4)\/b. Let z be -5 - -8*(-6)\/(-8). Solve z = -5*c - u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j. Let a(m) = -5924*m. Determine v(a(z)).\nAnswer: 11848*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67927248 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*p + 12, 2*p - 3*p = -3*w + 9. Calculate the remainder when 336\/(-36)*(-36)\/16 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 31*p**4 + 296*p - 5 - 311*p wrt p?\nAnswer: 372*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*g - 4*b - 165, -12 = 4*b. Solve -19*f + 2*f - g = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 - 60*y + 1501 = 0. Calculate y.\nAnswer: -79, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d*d)\/(d*d\/(d**(-4)\/d*d)*d))\/(d**5\/((d*d\/(d**(-2\/13)*d*d))\/d)) assuming d is positive.\nAnswer: d**(-232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 19*p - 26. Calculate w(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, 3, 1.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.349293 kilograms in nanograms?\nAnswer: 8349293000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01364 or 1323?\nAnswer: 1323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c3 + 1?\nAnswer: -4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 2, v: 1, o: 1, i: 1}. Give prob of sequence vh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6939 - f**3 + 6939 + 16*f**2 + 14*f**2.\nAnswer: -f**3 + 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.112 * -0.1244.\nAnswer: 0.0139328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i - 1. Let n be (i*-2)\/((-12)\/32). Let k be ((-12)\/(-16))\/(2\/n). Solve 9 = -k*p + 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -2 - 0\/2. Let f be (2\/12*4)\/2. What is the third smallest value in 0.5, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let n be (-26)\/22 - o\/(-11). Let a be 9 + n + 0 + 1. Calculate the highest common factor of a and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2\/24)\/(2\/(-20)))\/((-420)\/36). What is the third smallest value in -7\/9, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89*-10.6.\nAnswer: -943.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*l + 88963 + 1892961, -2*r + 990962 = 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-10) + -5)*(2 + (-24 - 6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -4. Let f(a) = a**3 - 5*a**2 - 5*a. Determine f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/(-63))\/((-5)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*b = 191*b - 64 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from huzuuuhqtqhthquzuu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2.7 (b) -2\/7 (c) -0.1 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9095*h**2 - 3628*h - 4.\nAnswer: (5*h - 2)*(1819*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(4\/(-6))*-2. Let x(k) = 2. Let t(b) = -9*b + 1. Let q(l) = 10*l + 1. Let p(i) = -q(i) - t(i). Suppose -6 + 2 = 2*g. What is g*p(n) + j*x(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*(33 - -5) + (-31680)\/(-396)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2 + 2)*(12 + 7 - 5).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + 0.3. Let h = o + -0.9. Put 4, 1\/4, h in increasing order.\nAnswer: 1\/4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 + 1540 = -161*p - 1906 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 3*c - 3*c + 28*c**3 - 8*c**3 - 3*c + 6. Is 24 a factor of q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -297, -686, -1233?\nAnswer: -1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -91634.408 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -121101000021 (base 3) to base 7\nAnswer: -2511301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -57. What is the units digit of (u\/(-6))\/((-8)\/(-48))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**2*s**4 + 20*p**2*s**3 + 42*p**2*s**2 + 5*p**2*s wrt s.\nAnswer: -48*p**2*s + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80194816 divided by -2506088?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*s - 6*s. Let y = -487\/36 - 2\/9. Calculate the common denominator of 3\/(96\/302) + s*-1 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 12}. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -20*b - 873. Let l be k(-44). Solve -3*g - 3*c - 15 = 0, l*c = -4*g + 2*c - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k. Let r(u) be the first derivative of -5*u**3\/3 - 20. Determine r(c(m)).\nAnswer: -125*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*s - 951 + 1312 = -1389 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 1. Let g(m) = -4*m - 9. Let p be g(-4). What is the second smallest value in c, -4\/3, 2, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from schzhzfahhhhzaz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -395, 1.\nAnswer: -395, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05209496 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -246779*t**2 + 3241*t - 3241. Let z(o) = -457*o**2 + 6*o - 6. Give 6*q(f) - 3241*z(f).\nAnswer: 463*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2003 + -10?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r + 45*r - 104*r + 32*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10172 + 60769\/6. Does m = -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7049\/18 or 157?\nAnswer: -7049\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -252a0 (base 13) in base 16?\nAnswer: -10bdf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193992282 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.01 - 0.81. Which is the nearest to -0.03? (a) 2\/5 (b) -1\/3 (c) -2\/5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1005 in 4, 49, 0.4, -1\/3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*v - 18, -3*v + 19 + 2 = 2*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156723*q = 156735*q + 216 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 2 + (4 - 4 - 2)*(-2 + 0 - 3 - 6 + 2 + 3 - 3 + 2 + 3 + (2 - 6 + 2)*(2 + 1 - 1) + 1 + 1 + 2))*(-4*l + 3*l + 4*l).\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 871822571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 1, o: 5, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 104. Let i = 55.7 + w. What is i rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 - -7c?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 165*b. Let f(a) = 15*a. Calculate 45*f(r) - 4*o(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**2 + 34 - 17 + 62 + 5 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44223138 to the nearest integer?\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 5. Calculate i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 7, l: 3, o: 7}. Give prob of picking 1 n and 1 g.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*u - 26. 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: Subtract 10 from -5082765.\nAnswer: -5082775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/195402 and -31\/202140.\nAnswer: 5862060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/((-9)\/((-243)\/(-6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -586 + 581. Let t(v) = -v**3 - 5*v**2 + 8*v + 12. Let z(r) = r**3 + r**2 - 2*r - 2. Let n(f) = c*z(f) - t(f). Calculate n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -796.4 - -77.4. Let x = -718.98986 - z. Let a = x + -0.01. Round a to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:16 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3853499696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.3 - -32.3. Let x = -1.94 - 0.06. Let u = x - -1. Which is the closest to u? (a) i (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 2*m - 5*m)*(-18 - 3*m**2 + 18) as c*m + s + x*m**3 + h*m**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**3\/3 + 11*s**2\/2 + 83. Calculate w(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0, -5 in increasing order.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -644 times -15371\nAnswer: 9898924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 - -125. Let t = u - -538. Does 42 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26078406 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 7:03 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(1\/5))*w*w**(-8)*(w**(-2\/7))**(-13\/7) assuming w is positive.\nAnswer: w**(-1634\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/5)*g*g**(2\/21))\/(g**(-2\/5))**(2\/13))\/(g**6*g**(-7)\/g*((g*g\/(g\/(g**(-1\/3)*g)*g))\/g)**(-22)) assuming g is positive.\nAnswer: g**(-4882\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/70 - 17*i**4\/84 - 2*i**3\/7 - 30*i**2. Suppose q(v) = 0. What is v?\nAnswer: -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1831 = 47*b - 17864 - 2489. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omfmffmifoovomiiffmk. What is prob of sequence ffvf?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 396?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1282, -1154, -780, -22, 1258, 3198, 5936, 9610?\nAnswer: 14358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**3 - 4*z**2 - 4*z - 4. Let k(n) = -39*n**3 - 13*n**2 - 13*n - 13. What is -13*h(c) + 4*k(c)?\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -53. What is the remainder when 49 + (4\/u - -2)\/3 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.4 + 49. Let f = -0.6 + s. Let q = -3 - -7. Sort q, 1, f, 0.5 in decreasing order.\nAnswer: q, 1, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -122. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlxublexbllbnln. What is prob of picking 3 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20*o**3 - o**2 + o + 1. Let p be l(1). Calculate the greatest common factor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 4*j - 4*j + (23 + 10 - 7)*(-j + 3 - 3) + j - 4 + 4 + 1 - j - 1 + (3*j + 0*j - 2*j)*(3 - 7 + 2).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2161 or -2130?\nAnswer: -2161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788921*m - 576 = -789017*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265323*l**3 + 173*l**2 - 28*l - 7 wrt l.\nAnswer: -1591938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3\/7, -72.8, -1, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2 + (-1 - 1 + 4)*(5 - 3 + 0))*(41*o + 47*o + 52 - 87*o) in the form l*o + b and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 + 6*h - 5*h)*(0 + 3 - 5) - 9 - 23 + 23*h + 30 to k*h + n and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1174816.3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 992*h + 246016.\nAnswer: (h + 496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -8)*2\/(-4) + (-85)\/(-15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -10 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -282 (b) 4 (c) 1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -462289514*-5\nAnswer: 2311447570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from ddr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.60090942*0.4.\nAnswer: -2.240363768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -119*t. Let d(k) = -2*k**2. Calculate a(d(o)).\nAnswer: 238*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.099 - -43.901. Let q = -108127992.2 + 108127948.1999961. Let s = g + q. What is s rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2844 divided by 22.\nAnswer: 1422\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -478, -1074, -1908?\n\"Answer: -119*d**2 - d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(931)*-2 + 4)**2.\nAnswer: -672*sqrt(19) + 22440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.57 - 0.67. Let f = 1.9 - 2.9. What is the nearest to j in f, -43, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 9\/5*k**2 + 24\/5 - 3\/5*k**4 - 42\/5*k + 12\/5*k**3 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78645 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*g - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/5)\/(1\/9). Let q be 2\/3 - (-75)\/f. Let a be (-3)\/(q\/(-6)) + -3. Is a at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*j = 60, 17*g + 48 = 21*g + 5*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 3*b)*(2*b - 2*b + 2*b**2) + b + 2*b**3 + 2*b + b.\nAnswer: 4*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779756?\nAnswer: 2, 17, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**4 + d**2 - 4*d - 4. Let u(g) = -9*g**4 + 9*g**2 - 33*g - 33. Let k(r) = -33*h(r) + 4*u(r). Solve k(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3*s + 4 - 2)*(-4 + 1 + 0) as x + o*s and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-11\/2)*x**(-21\/2))\/(x*x*x*x**(-9))**(-46) assuming x is positive.\nAnswer: x**(-291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100311\/5 + -20062. Put v, -0.2, 0.3, -78 in decreasing order.\nAnswer: 0.3, v, -0.2, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:56 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2090860 by 1.\nAnswer: 2090860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y**3 - y**2 - y - 1. Let x(k) = 64*k**3 + 2*k**2 - 179*k - 187. Let r(s) = 7*c(s) - x(s). What is n in r(n) = 0?\nAnswer: -18, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 u when three letters picked without replacement from kykulmkulmkukmkm.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 100*(4\/(-4))\/(-6)*6. Calculate the highest common factor of f and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 264174628\nAnswer: 264174627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.624mm to micrometers.\nAnswer: 18624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 - ((4 - (4 - -49)) + 0 + -13)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8) + 190\/4. Let z be 31 + 1 - (0 - 0). What is the greatest common divisor of s and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from pbbppbbbbpbbpb.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59675 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 351950413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(12)\/sqrt(3)))**2 - (1*sqrt(425))**2.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2093\/5 + 6284\/15. Is 22 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 + 13587*j + 243594 = 0. Calculate j.\nAnswer: -4511, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 61911.\nAnswer: 44\/61911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3252 - 17?\nAnswer: -3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x**2 - 18655*x + 18649*x - 2 + 7. Let d(w) = 4*w**2 - 2*w + 2. Suppose 2*j = -j + 24. Give j*d(t) - 3*m(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 11*i + 13. Let r be y(-10). Let x be (4 + -1)\/(r\/6). Suppose 46 - 4 = x*h. Calculate the remainder when 20 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16609928 and -0.1.\nAnswer: 16609927.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let d(i) = 3*i + i - l - 3*i. Let j be (24\/21)\/(-4)*-7. What is d(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423*k**4 + 7*k**3 - 167*k**2 + 6*k + 2?\nAnswer: 10152*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(2*m**2 - 1 + 1) + 0*m**2 + 2*m**2 - m**2 - 7*m**2 + m**2 + 2*m**2 - 3 + 2*m - 2*m**2 + 3 to v + c*m + r*m**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-13 - -5))\/((-4)\/8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/(-3159)*12\/(-40)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/54)\/(4\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c = 71*c - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xox when three letters picked without replacement from aoxnrrnnxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-7480)\/36)\/(-10) - (-42)\/189.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/30 + 346*b**2 - 3. Let y(d) = -1 + 1 - 27*d**2. Determine c(y(i)).\nAnswer: -1458*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 16*x**3 - 1. Let r be u(1). Let h be (-8)\/(-10) - (-33)\/r. Solve 0 = -a + 4*y + 14, -h*a + 6*a + 3 = -3*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1, -1.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.15. Let w = -0.05 - i. Let x = w - -0.3. What is the third biggest value in -0.5, 0.4, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 42*k**2 + 11*k - 114. What is the thousands digit of g(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30400 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 - 2*n**5 + 0*n**5 + (-n**2 + n**3 + n**2)*(0*n**2 + 0*n**2 - 2*n**2) + 2*n**5 - 6*n**5 + n**5 + (2*n - 5*n + 2*n)*(3*n**2 + 3*n**4 - 3*n**2).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 5*t - 45, 5 = 5*b - 4*t. Suppose 2*d + 0 = 12. Suppose -c + d*c = 95. What is the remainder when c is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854648863.\nAnswer: 919, 929977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131797 divided by 20.\nAnswer: -131797\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 7\/125977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 6)*(-1 - -2). Let t be (-4 + (-14)\/(-6))*(-6 - (-324)\/60). Let o(p) = -4*p**2 - 3*p - 2. Let u(w) = -w - 1. What is t*o(c) + z*u(c)?\nAnswer: -4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -69cf17?\nAnswer: 69cf22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = -7. Let r be 24\/20*15\/6. Suppose a*g = -r*g + 110. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2505 = -42*t + 1917 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10 + 5. Solve -2*l + t*r - 12 = 0, -l + 5 = r + 3*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (14 + (23 - 48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*q + 8 - 7 + 18*q - 116*q**4 + 105*q**4 in the form o*q**3 + n*q**2 + y*q**4 + j + s*q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 20*v - 90. Suppose 0*q - 4*n - 10 = -2*q, 15 = 3*q + 5*n. Let g = 39 + q. What is the remainder when g is divided by k(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 - 23*d + 41. What are the prime factors of a(7)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-10 - -22) + -11 + -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 17*y - 480. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*z**4 + 2*z**3 - 2*z + 14.\nAnswer: 372*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54071677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-7) - (-5)\/(30 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = -4*t. Suppose -5*p - t - 5 = y, 4 = -y. Let i be (-2)\/(p*10)*-1. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 6. Let r(h) = 3 - 5*h - 15 + 8. Let n(k) = -29*k - 23. Let u(s) = o*n(s) + 34*r(s). Let p(f) = -5*f - 2. Give -5*p(b) - 6*u(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 0.47, 0.4, 8\/19, 2\/23.\nAnswer: -1, 2\/23, 0.4, 8\/19, 0.47, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/20 + 67*w**4\/12 + 608*w**3\/3 + 1536*w**2 - 1085*w. Factor v(p).\nAnswer: (p + 3)*(p + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {s: 1, u: 1, i: 2, o: 2, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4834230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*f\/(f\/f**(-8)*f*f))**(-3\/5) assuming f is positive.\nAnswer: f**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*t + 67*t - 91*t + (1 + 1 + 0)*(2*t + 3 - 3).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 459528019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (896\/44)\/(1869\/5874).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/2700 and 79\/288?\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 5*l - 2*l + (-l + 0*l + 0*l)*(0 + 9 + 10).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(108)*-3*1 - (sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108) + 4 - sqrt(108))) + -2)))**2.\nAnswer: -648*sqrt(3) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6755 divided by -35?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*5)\/sqrt(8).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*-3 - (sqrt(30) - (sqrt(270) - -3*sqrt(270))))\/(-1*sqrt(1176)*-4) + 5.\nAnswer: sqrt(5)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = x + 54 - 58, 0 = -p + 5*x + 1. What is the second biggest value in 2, p, 1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 435 and 3320343?\nAnswer: 481449735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**9\/1512 - z**6\/80 + z**4\/4 - 3*z. Let l(i) be the third derivative of t(i). Find the second derivative of l(w) wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108) + 0 - 4*(1 + sqrt(3)) - (sqrt(3) - sqrt(15)\/(sqrt(5)*1) - 1*sqrt(432))))**2.\nAnswer: -1008*sqrt(3) + 5436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-280)\/(-2)*(-7)\/(-14). Let q be (-21)\/j*8\/18. Let y = -0.35 - 0.05. Which is the closest to -3\/5? (a) q (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112318151 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = -52. Suppose 3*n + 2*b = 5*b - 174, 4*n + 226 = 2*b. Let u = -29 - n. Solve u = -4*o + z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001010001111011101 (base 2) in base 14?\nAnswer: -2055c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-175)\/20 - -3. Let m(u) = -u - 7. Let f be m(-17). What is the second smallest value in 2, k, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 46 = 6. What is the highest common factor of q and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1664 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2507180 and 5850?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f + 3. Does 7 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 79*h - 1028. Let t be c(13). What is the second biggest value in t, 4, -5\/4, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/4 - 3*c**3 + 4*c**2 - 53. What is a(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -81, -118, -155, -192, -229?\n\"Answer: -37*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 11:04 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837582800 to the power of 1\/2, to the nearest integer?\nAnswer: 69553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let f(y) = 225*y + 221*y + 3 - 441*y. Give n(f(a)).\nAnswer: -50*a**2 - 60*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60182, -60190, -60198?\n\"Answer: -8*n - 60174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 12*h**3 - 2*h**2 - 25*h - 1. What is j(3)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -5) + -2 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 + 0.3. Let u = 0.84 + -0.64. Which is the second smallest value? (a) u (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 73 - 334 + 100 + 15*i + 61 in the form a + o*i and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 524343 + -5?\nAnswer: 524334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(44)\/(sqrt(11) - sqrt(99))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(3))\/sqrt(3) - (sqrt(171) + sqrt(171) + sqrt(171) + 5*sqrt(171) + sqrt(171) + sqrt(171))\/sqrt(9).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 1. Let j be r(-6). Let u = -17 + j. Factor 2\/3*d**5 + u + 2\/3*d**3 + 0*d + 0*d**2 - 4\/3*d**4.\nAnswer: 2*d**3*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2313355?\nAnswer: 5, 11, 42061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*144\/220 - 4\/10 and -12\/95.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 124*p - 127*p + 4.\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3092\/5411*(-49)\/(-2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6138 (base 10) to base 6.\nAnswer: -44230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from wqzrqrqwwwwwwqwwwww?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -715 - -1722. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*h - 3. Let t = -0.8 + 0.73. Let w = t - -4.07. What is the third smallest value in 0.4, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 751220*h**4*u + h**3*u**2 - 28*h*u**2 - 29*h*u + 9*h - 8*u wrt h?\nAnswer: 9014640*h**2*u + 6*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 11 = -21. Let o = -21 - -75. What is the remainder when o is divided by 31\/3 - v\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 19*r - 3. Let l(j) = 4*j**2 + 96*j - 14. Let m(p) = 28*i(p) - 6*l(p). Factor m(f).\nAnswer: 4*f*(f - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170)*2 - sqrt(170)) + sqrt(170))*6)\/sqrt(10) + (-5*((sqrt(1088) - sqrt(1088)*-2) + sqrt(1088))**2 - sqrt(1088)).\nAnswer: -87040 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 8*z + 19. Let m be k(9). Solve -2*t + 7*t - m = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264953621 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 45 + 15 = 0. Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 287*p**2 - 263*p + 6634. Calculate r(-286).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6720\/(-540) - (-42)\/9 and -37\/69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6599203 - 6599203 + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3017292 divided by -1508646?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 126, 0 in descending order.\nAnswer: 126, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 2*g**3 + 170*g**2 - 81*g**2 - 97*g**2 + (2*g**2 - 2*g**2 + 2*g**2)*(430 - 430 + 51*g) as i*g**3 + t + w*g**2 + u*g and give i.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 6. Let q be o(-3). Let w be 8\/(-168)*q*1. Let y = -1\/59 + 62\/177. What is the third smallest value in 2\/7, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -18.5, 3\/7, -5, 2.\nAnswer: -18.5, -5, -2\/17, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let y(l) = -6*l - 8. Let a(w) = 5*j(w) - y(w). Let t be a(-7). Let d be 4\/4 + t*2. Solve -15 = 5*u, 4*r + 10 = d*r - 3*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 11:24 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.43 + -6.7. Let o = 0.27 + k. Which is the second smallest value? (a) o (b) -3 (c) -0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2651*q - 216 = 2649*q - 15*k, -3*k = -4*q - 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -18917379771.\nAnswer: -18917379772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 114 + 4 + -4 - 8. Let s be ((-14)\/4)\/(j\/(-636)). Solve -s = -12*l + 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 - 5*h**3\/3 + h**2\/2 + h. Let t be a(-7). Calculate the greatest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -1689, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + (0 - -4) + -1. Solve -z*f = -f - 2*x + 12, 2*f + 3*x - 13 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 14*q**2 - 2 - 2*q**2.\nAnswer: 17*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/((p\/p**(4\/7))\/p)*p)\/p)\/p*p**2*p*p\/(p\/p**(2\/15))*p\/(p*p**(3\/2)))**(2\/43) assuming p is positive.\nAnswer: p**(673\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 3*i**2 + 0.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i + 12. Let o be -2*(3 - -1)*-1. Calculate v(o).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234 + 236. Solve 3*p - 16 = -p + y*r, -2*r - 21 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 26. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8288373 milligrams?\nAnswer: 0.0000008288373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 513869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7363, -7478, -7807, -8458, -9539, -11158, -13423?\nAnswer: -16442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3248 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -45, -174, -355?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266 (base 11) to base 3.\nAnswer: -102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12891, 51606, 116147, 206514, 322707, 464726?\nAnswer: 632571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:16 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -1 - 17) + 20 - 34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/6 + -8\/3. Let d = -206 + 202. What is the third biggest value in d, b, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -126, 13, -6\/13, 0.5, 32, -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:30 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 9944206?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10220 and 21\/82.\nAnswer: 419020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*l*s*y**2 + 169791*l*s*y - l*y**2 + 50941*s*y**2 + s*y - s + y**2 wrt l?\nAnswer: 5*s*y**2 + 169791*s*y - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 9 - (-3 + 1 - -4)) + 213 + -165.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -11. Let 9*l**5 + c*l**4 + 21*l**3 + 4*l**2 + 2*l**2 + 0*l**2 + 3*l**4 = 0. Calculate l.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e0c589 - 0?\nAnswer: -4e0c589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.1 - -0.9. What is the closest to 2\/7 in -4, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 4 + 3)*((0 - n**2 + 0)*(5 - 3 + 0) - 4*n**2 + 3*n**2 + 0*n**2 + (2*n + 2*n - 3*n)*(n - n + n))*(0*n + 4*n - 2*n).\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.43 + -2.3304. Let q = 0.1 - 0. Let l = z - q. Round l to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times -21998\nAnswer: -549950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzfz when four letters picked without replacement from {z: 6, f: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 33. Let l(o) = -o**2 - 7*o. Let x be l(-7). Suppose 2*p + 4*p = x. Let d be b(p). Which is smaller: -34 or d?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 2:21 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-30) + (2 - 3) - (-5326069)\/124635\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-75))\/(1\/5)*24\/32\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 17. What is the third derivative of 0*b**2 + 27*b**3 - t*b**2 - 3*b**2 + 6*b**3 wrt b?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1769 = -171*t - 62 + 121 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1278572*n*p**3 + 11689690*n*p + p**3 wrt p?\nAnswer: -7671432*n*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 154 = i + v, 5*v + 5 = 0. Let k = -75 + i. Let a = 18 - k. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.84458535 + -1.997583. Let b = i + 0.153. What is b rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 19. Let q(t) = 3*t - 56. Calculate 7*k(h) + 2*q(h).\nAnswer: -h + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 220285 = 3*z, -4*d + 12*z + 176226 = 14*z. Is 149 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 22*w - 1. Is z(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -7 (c) 11\/6 (d) 3\/4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -35)*-54 + (-2 - 21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**5 + 80*g**4 - 9*g**2 - 1.\nAnswer: -360*g**2 + 1920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let x(a) = a - 546. Calculate n(x(h)).\nAnswer: -h + 546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 46*p + 117133. Determine d(-320).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 489027 divided by -3?\nAnswer: -163009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 579031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -v + 414. Let u = 67 - -29. Suppose a = -3*a + u. Calculate the remainder when v is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 7, 3, -0.5, 185, -53?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -29.55?\nAnswer: -27.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -28*h + 41 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 392 = -48*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/10 + 1381*j**4\/10 + 684*j**3\/5 - 8278*j**2\/5 + 2768*j\/5 + 2208 = 0.\nAnswer: -1380, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/20 and 169\/354891930.\nAnswer: 709783860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 272, 275, 294, 341, 428, 567, 770, 1049?\n\"Answer: 2*g**3 - 4*g**2 + g + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8*x = 40. Suppose -x*o + 1125 = -159. What are the prime factors of o?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, d: 4, o: 2, m: 1, c: 3, l: 3}. Give prob of sequence hcll.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.3. Let k = 821.41 - 827. Let y = k + 1.59. Which is the second smallest value? (a) q (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*r**2 + 179*r**2 + 150*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 27*j**3 - 11*j**2 - 24*j. Let k(w) = -w**3 - 3*w**2 - w. Give -4*k(q) + y(q).\nAnswer: 31*q**3 + q**2 - 20*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-3)\/3 - 1). Let v be (-1)\/p + (-6)\/12. Which is smaller: 4\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11178.0333 + 11177. Round m to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 309\/5, 1\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 45 = 3*p, -4*m + 3*p + 47 = 4*p. Suppose -2*o + 4 = -m. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 + 86057417.828264.\nAnswer: 86057416.928264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -622 - -628. Suppose n*s = -11*s + 8313. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76817 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5560 = -4*d, 4*w + 0*w - 2780 = -2*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*b + 4*o - 0*o, -b - 6 = 5*o. Calculate the smallest common multiple of (-64)\/b - (-6 + (-160)\/(-24)) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12*l - 68. Let k be x(-6). Let t(a) = a**3 + a**2 + a - 1. Let f(p) = -3*p**3 - 8*p**2 - 4*p - 1. Let v(z) = -f(z) - 4*t(z). Determine v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*(-9)\/54 - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 646845079248611\/47220 - 13698540432. Let y = s - -1\/4722. Let n = -11\/108 - 257\/216. Find the common denominator of n and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 8464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -65887 and -65884 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j + 32 = 5*k, -5*k = 0. Let y be 2\/((j\/(-18))\/2). Let h be ((-48)\/y)\/(1\/1762500). What is h rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8494036 and 6712.\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10367.6 to the nearest one hundred.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3159?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -4*l**3\/3 + l**2 + 661. Let f(q) = -8*q**2. Determine f(b(g)).\nAnswer: -128*g**4 + 128*g**3 - 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7557 and 840840?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from uueuudfheee?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (1 - (1 + -1)). Let z(a) = 2*a**2 - a. Let n be z(-1). Suppose m = -k + 20 + n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 + s**3\/3 + 15. Calculate g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, h: 4, w: 3, q: 3, y: 2, x: 4}. What is prob of picking 3 w and 1 a?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 159 = -3*w. Is 30 a factor of 1910\/22 + (-12)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**5)\/r)**(-25) assuming r is positive.\nAnswer: r**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:01 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/35, 2, 229964, 5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:25 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 1. Let i(v) = 1. Let m(s) = -2*i(s) - z(s). Suppose -34 = -3*r - 22. Suppose 3*q + f + 14 = 34, q + 2 = r*f. Determine m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -379556331*m**3 - 361574818*m**2 wrt m.\nAnswer: -2277337986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjtj when four letters picked without replacement from {t: 4, j: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o. Let h be ((-4)\/(-60))\/((-10)\/(-210)). Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 3\/8 (c) 4 (d) -0.11 (e) 679 (f) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*p - 11*p**3 - 2*p**4 + 3*p**3 + 71*p + 3 in the form q + l*p**2 + g*p + u*p**4 + b*p**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -10. Let v be 6 + (-344)\/56 - 18\/70. Put v, -0.8, t in ascending order.\nAnswer: t, -0.8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 1122303?\nAnswer: 1122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, -2736, 6 in descending order.\nAnswer: 96, 6, -2736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1016, -2016, -2894, -3590, -4044, -4196?\n\"Answer: 10*b**3 + b**2 - 1073*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 29568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10169501 or -10169491?\nAnswer: -10169501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 174*g - 166*g + 40. Sort 27, g, -1\/9, 1\/3 in descending order.\nAnswer: 27, 1\/3, -1\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n - 2. Let g be q(1). Suppose g = -w + 5*z + 146, -4*w - 2*z = 2*z - 560. Let f be 1*w\/15 - 2\/5. Solve p + f = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - o - 2. Let h be 80 + 1*16\/4. Let d = h - 84. Give p(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-706156)\/(-605) - 1\/5.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4280)\/(-1712)*(-14)\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142032726 divided by -174702.\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 - 136. Let z = n - 79. Let u(r) = r**2 - 9*r + 9. Let s be u(8). Sort s, 4, z.\nAnswer: z, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 + 3*c**3*m - c**2*m - 96*c**2 + 41*c*m - 8*c + 16*m + 3 wrt c.\nAnswer: 24*c**2 + 18*c*m - 2*m - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**4 - 158*k**3 + 3 + 308*k**3 - 152*k**3 to o*k**4 + d*k**2 + l*k + u + h*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + sqrt(2)*-1 + 0 + (1*sqrt(162)*1 + sqrt(162) + sqrt(162) - 6*(sqrt(162) + 0)))**2.\nAnswer: -560*sqrt(2) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 3:15 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -31. What are the prime factors of h\/(-10)*4\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2289.430568 + -2289.3. What is y rounded to three decimal places?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-60))\/((-38)\/(-950))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-88)\/22)\/(6\/(-957)*-1). Let d = o + 2054. What are the prime factors of d?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j - 3*j - 8*j + 210*j.\nAnswer: 237*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 110220984479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = 0, 0 = -g + 2*h - 3 + 11. Suppose 0 = -3*x - 4*x + g. Factor 3\/4*f**x + 3\/4 + 3\/2*f.\nAnswer: 3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56408 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, q: 3}. Give prob of sequence vvvq.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 280113037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2175.4899 months?\nAnswer: 1.81290825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2034\/77 + 197\/7. Calculate the common denominator of w and (-10)\/(-11)*2\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 9. Let y be b(-11). Suppose -y + 1 = a. Suppose -2*p + 0*o = -o + 7, 0 = 5*p + 3*o + 34. Sort a, 2, p in descending order.\nAnswer: 2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -7 - 0) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 2*m + 98. Let q = -32 + 32. What is the tens digit of r(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23762669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 4. Let a = b + 41. Let c = -16 + a. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*9\/15)\/((-342)\/(-6)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3 + 20394*j**2*y**2 + 118*y**2 + y + 105 wrt j?\nAnswer: -6*j**2 + 40788*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1645420 and 5880.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + 2*l - 2. Let p be u(-2). Suppose 5*c = 1 + p. Suppose -2*q = 5*g - 11, c*q - 13 = -3*g + 8. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276*-0.2986\nAnswer: -82.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, a: 1, g: 2, q: 2, b: 4, v: 2}. What is prob of picking 2 g and 1 a?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (-3 + 1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 2 - 2)*(3 + 1 - 2) - q**3 - q**3 + q**3 + 2*q**3 - q + q + 75*q**3 - 9*q**2 - 1230 + 2445 - 1216.\nAnswer: 80*q**3 - 9*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66845*l**2 + 2292*l - 5 wrt l?\nAnswer: 133690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 4, -71204 in increasing order.\nAnswer: -71204, -9, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/20871 or 1?\nAnswer: 16\/20871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/25 + (-32)\/(-5). Let q be r\/27*19623\/(-714). Let y = q + -4\/1071. Find the common denominator of y and -16\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlt when three letters picked without replacement from lttlt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187)\/595*(-11375)\/650?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 251\/6?\nAnswer: 251\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, 12, 2, -4.\nAnswer: -4, 0.5, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -290*s**2. Let l(k) = -k**2. What is u(l(h))?\nAnswer: -290*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 divided by -93.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-22))\/(1029\/(-7546)). Solve c*x - 509 = -439 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) 0.4 (c) 15\/4 (d) -86993 (e) 2\/13 (f) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2180*z**3 - 3*z**2 + z + 1. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 9. Let m be u(5). Let r = -20 - m. Let i be (-1)\/(r\/15 + 0). Calculate the highest common divisor of 135 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 161 + -8a2?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 151. Let z = j - -48. Let p be 9\/z + 1 + 1. What is the fourth smallest value in 2, -5, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {c: 1, j: 3, d: 3, x: 1, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.28152 milliseconds in microseconds?\nAnswer: 92281.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1860684000 to the nearest one million.\nAnswer: -1861000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/3 - -4)\/(-2). Suppose a = -5*g - x + 35, x - 4*x = -5*g + 55. What is the least common multiple of 14 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -5. Let p = -2489.7 + 2490. Which is the third smallest value? (a) o (b) p (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g. Suppose g = -2*d + d - 5*l + 33, -14 = -3*d + 2*l. Suppose 0 = -a + s + 5, 5*a - 13 = -2*s + 5. Solve -4*j - d = a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 712*x**5 + 48*x - 3 wrt x?\nAnswer: 14240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 310*h + 6998. Let t(l) = 3*l. Give i(t(g)).\nAnswer: -9*g**2 - 930*g + 6998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -3*c**6\/10 - 7*c**3\/3 - 11*c. What is the second derivative of x(i) wrt i?\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.043, 2\/5, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - 2*r + (3*r - 3*r + r)*(3 + 2 - 3) - 2 + r + 2 - 2*r + 1 - 1 - 3*r + 5*r + 2*r)*(-2 + 2 - 1)*(-11*r + 76 - 76).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-56)*4)\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15414, 61773, 139032, 247185, 386226?\n\"Answer: -a**3 + 15456*a**2 - 2*a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 7 + 15 - 2789*r - r**2.\nAnswer: -r**2 - 2789*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-4)\/(-2) - -1. Let c be (-16)\/(-4) - (-1 + n). Suppose -o + 3*z + 2 = 0, -6 = 6*z - 3*z. Sort o, c, -2.\nAnswer: o, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/55 + 76\/1155. Let q = -53\/95 + 3\/19. Which is the nearest to w? (a) q (b) 3\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d*d\/((d*d*d**(-13)\/d)\/d)*d)\/d)*d)\/d)\/(d**8*d*d) assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100100 + 10101?\nAnswer: 110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -19*h**3 + 3*h + 2. Let d(p) = -75*p**3 + 13*p + 9. Determine 2*d(s) - 9*j(s).\nAnswer: 21*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = -4*f. Let n be 2\/f*0\/(-5). Suppose n = 4*u - 16 - 8. Solve 3*i = i - u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(28)*-4))**2*-1.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -242687.\nAnswer: -50\/242687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**3 - y + y)*(y - 2*y - y) - 10*y**4 - 6*y**4 + 4*y**4 to the form p*y + n*y**3 + t*y**2 + v*y**4 + q and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, p: 2, q: 10, j: 1}. Give prob of sequence qjqb.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3344850 to the nearest ten thousand.\nAnswer: -3340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 77865.75441 + -1150.2\nAnswer: 76715.55441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyny when four letters picked without replacement from {n: 2, y: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 17. Let p(i) = i + 8. Let t(d) = 13*p(d) - 6*u(d). Let h = -1 - 1. Let m be t(h). Solve -4 + m = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 - 164*k**2 - 1792*k + 94208 = 0 for k.\nAnswer: -23, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:43 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -21811a65?\nAnswer: -21811a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -679*s**4 - 475*s**2?\nAnswer: -16296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 0 + 0)*(-2 - 2*o + 2)*(8*o**2 - 3*o**2 - o**2) - 30*o**4 - 6*o**2 + 6*o**2.\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -1. Find the second derivative of -g*a - 8*a + 4*a**5 - 3*a**5 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1079, -1081, -1083, -1085?\n\"Answer: -2*j - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 16 + 8, 4*l - 14 = -n. Let p = 275\/8 + -35. What is the second biggest value in -5, p, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (32 - (35 + -9)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 21. Suppose -3 - n = -k. Calculate the smallest common multiple of 22 and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)\/sqrt(8) - sqrt(38))\/sqrt(2) + sqrt(19))**2 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-44)\/660)\/((-1)\/(-102)))\/(-2)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 0.05 (c) 116.1 (d) -7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 4*y**2 + y**2)*(8*y - 3*y + 6*y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10 = -d, 5*d - 6*d - 4*m + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -96 (b) 1 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 14*z**2 + 51*z + 4. What is j(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 - -174. Let z(r) = -11*r - 8. Let k be z(h). Solve 52 = -4*n + 3*p + 20, -2*p - 7 = k*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -g - 3*g - 4*h, 5*g - 246 = -h. Suppose 2*y = 7*y - g. Let r be 2*(0 + 1\/2). Is y at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -371164.999992 - -371161. Let k = -0.02 + -3.98. Let f = k - a. What is f rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*5\/(-210))\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b - 74*b - 79 - 75 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5013 + 356. Which is smaller: h or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -13*n. Let a(l) = -3*l**2 + 80*l + 1. Let g(o) = -5*o**2 + 128*o + 2. Let q(s) = 8*a(s) - 5*g(s). What is d(q(z))?\nAnswer: -13*z**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-9) + -3)*3. Let x = -15 - a. Find n such that -8\/3*n - 6*n**4 + 8\/9 + x*n**2 + 46\/9*n**3 + 2*n**5 = 0.\nAnswer: -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211523.\nAnswer: 3, 283, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19490.093877 - 19608.0938. Let l = 220 + -102. Let c = z + l. Round c to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 41. What is the greatest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**3 - 25*g - 9. Let h(m) = -5*m**3 - 12*m - 4. Suppose -3*z + 4 = -2*z. Let d(j) = z*f(j) - 9*h(j). What is the second derivative of d(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1716 and 1232?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -103. Calculate the lowest common multiple of 1*(-2 - -11) + -2 and l.\nAnswer: 42","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 {f: 1, k: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 30 + (-7 + 14 - 18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 143.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -3, 36, 111, 234, 417, 672, 1011?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -675\/118253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 - 13*l**3 - 24*l**3 - 6*l**3.\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -0.1, -1\/20, 1.522, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -36*h**3 - 434308*h**2 - 482520*h = 0.\nAnswer: -12063, -10\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221\/1132 + 126\/283. Which is the closest to g? (a) 0.3 (b) 124 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11536 + -1391. Does 74 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 14*l + 217 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ftbxxfxxxtnxxxxxf?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133 + 30 + 140*v - 139*v + 22 + 93 to q + s*v and give q.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2112389*u. Let b(y) = -3*y**2. What is m(b(d))?\nAnswer: 6337167*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 224\/15? (a) -1\/8 (b) -21 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j - 1. Let u be 2 - ((-6)\/(-2) - 1). Let y(h) = -h**3 - 2*h**2 - 2*h - 3. Let w be y(-2). Suppose -k = -u*k + w. Determine g(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emppeeh. Give prob of sequence peme.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487790100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/28801 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083458009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 176, 1853, -10 in increasing order.\nAnswer: -29, -10, 176, 1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1))**(-12)*(c\/(c\/(c\/(c*c**(-2\/13))))*c)\/c**(-2\/15))**(2\/23))**22 assuming c is positive.\nAnswer: c**(114004\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1094.9998633 + -1095. Round k to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000160761209 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3.4, -6, -20.3?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72.19634mg?\nAnswer: 72196.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21549630 divided by 2.\nAnswer: -10774815","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + s. Let b(a) be the first derivative of 3*a**4\/4 + 2*a**3\/3 + 2*a**2 - 4. Suppose 0 = 10*l + 5 + 35. Calculate l*h(q) + b(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -1\/2*i**3 - 15\/4*i**2 - 9*i + 116. Determine j, given that c(j) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.3. Let l = n + 0. Let j = -0.5 + 0.2. What is the third smallest value in 2, j, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -31, -41, -45, -37?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/270088 and -12\/35?\nAnswer: 1350440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 17518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/30)\/(5\/24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-444)\/333*3\/9*(-54)\/4. Solve -336 = -x*h - 324 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 1 - 1 - 2*v**2)*(-11*v - 5*v + 4*v) + (-3*v + 3*v + 2*v)*(0*v**2 + 5*v**2 - 3*v**2) in the form z*v**2 + f*v**3 + b*v + h and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - ((-3)\/(-9))\/((-4)\/12). Let l be (-3540)\/(2*x\/(-60)). What is l rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 1947, -2\/147, 0.3, 3 in increasing order.\nAnswer: -2\/147, 0.08, 0.3, 3, 1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + 3.96. Let g = -6.8 + l. Let m = 0.06 + 3.94. What is the third biggest value in -2, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z + 0)*(-6117*z - 5488*z - 6103*z + 4369*z)*(0*z**2 + 2*z**3 + 0*z**2).\nAnswer: -53356*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 41*z**2 + 22*z + 33. Let y be g(-14). What is the remainder when (-12)\/27 + y\/54*2 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, x: 1, w: 3, g: 1, t: 1, z: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from {w: 2, b: 4, l: 8, i: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmm when three letters picked without replacement from {h: 5, m: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - u**3 - u**3 - 2*u**3 + 3*u**3 - 3*u**3 - 2*u**3 + u**3 + 0*u**3 + (4 - 4 + 1)*(4*u - 4*u - 2*u**3) + u**3 - 2*u - 3*u**3 + 3*u**3.\nAnswer: -5*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 1, -1\/6, 2\/83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1344874.44 hours?\nAnswer: 8005.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + s**2 + s**2 + (-2*s + 0*s + 3*s)*(0 + 0 + s) - s**2 - 4*s**2 + 2*s**2 - 2 + 6 + s**2 - 1 + 3*s**2 - 2*s**2 - 4*s**2.\nAnswer: -5*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -36, -7\/8, 4, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324437268.\nAnswer: 2, 3, 29, 107, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1. Let u(z) be the first derivative of z**2 + 4*z + 6. Calculate 4*t(j) + u(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {t: 5, g: 1, e: 3, r: 3, q: 1, j: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.49 - 5.6. Let k = -1.088 + a. Round k to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6495*q**2 + 8*q - 14. Let w(l) = -2160*l**2 + 3*l - 5. Let n(r) = 6*i(r) - 17*w(r). Find the second derivative of n(o) wrt o.\nAnswer: -4500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -72, -83, -112, -165, -248, -367, -528?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (2\/5 - 134\/335))\/((-2)\/62)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.82 + -230.82. Let j = u + 229. Let x be (-4)\/10*(-3 - -2). What is the second smallest value in x, j, 1\/3, 2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -60 - 121\/2*x - 1\/2*x**2 = 0.\nAnswer: -120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224562164 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:44 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2660084 - 4237084. What is s rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176011310*d**3 + 759093125*d?\nAnswer: 1056067860*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -i - 5*q, -2*q - 2*q - 57 = -5*i. Let y = i - 1. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(1112\/417)\/(10\/6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(-1 + (sqrt(242)*-5*6 - sqrt(242))).\nAnswer: 7 + 1023*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-360)\/(-63) + (-2 - 16\/(-7)). Suppose 5*f - 6121 = z*f. Let i = f - -28721. Round i to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09232 (b) 0.054 (c) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59\/2 - 29. Let q(l) be the second derivative of c*l**2 + l + 0 - 1\/6*l**3. What is the first derivative of q(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53751 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*c + 53 = -381, -4*c + 1099 = 5*p. What is the remainder when p is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 242*z**3 - 241*z**3 + 30*z**2 - 110*z**2 as q*z**3 + t*z**2 + y*z + n and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3260 - 3260.000008836. What is o rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -138472, -277107, -415744, -554383, -693024, -831667, -970312?\n\"Answer: -f**2 - 138632*f + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1365, -1354, -1343, -1332?\n\"Answer: 11*n - 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1383356 and 60532.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280 + -279.8. Which is the second smallest value? (a) l (b) -5\/2 (c) -8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -97*r**2 - 148. Let z(f) = -2*f**2 + 2. Let k(j) = w(j) - 3*z(j). Differentiate k(c) with respect to c.\nAnswer: -182*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3245948692?\nAnswer: 2, 7, 23, 557, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 226*w - 223*w = 128, -182 = 2*i - 4*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let s be (6\/7)\/(k - 0). Suppose 0 = 5*f - b - 7, 0 = -3*b + 4*b - 3. What is the nearest to -0.1 in f, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -3*r + 403. List the prime factors of r.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-9)\/(-96)). Let r be (-36 - u\/4)*-1. What is the highest common factor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 11*g**3\/3 + 10. Suppose -7*x - 12 = -5. What is m(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 = 2*j + 3*o, 3*j - 1355 = 39*o - 44*o. What is the smallest common multiple of j and 230?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 27, 104, 253, 498?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732167854.\nAnswer: 2, 11, 3025487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (129*(-54)\/1548)\/((-156)\/(-2))\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47993094 at least as big as 47993101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-25)\/15*2\/210*-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14005444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y**2 + 7*y - 8. Let i be h(5). Let l be 8 - 0*(-1)\/2. Suppose -4*o + l = i*n - 2*o, -4 = -4*o. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7 - 5. Suppose -4*r - 2*s = -x*s, -r + 18 = 4*s. Let n(k) be the first derivative of -k**4\/4 + 2*k**3\/3 + k**2 + 3. Determine n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*6.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 19 + 23*s + 13 to i + r*s and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 502766 = -37*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16200*r - 178112. Determine s(-11).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 1, v: 6, x: 5}. What is prob of sequence vx?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in centimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -0.5 (c) -1 (d) -104.1 (e) -0.38 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -844*s**4 - s**2 + 694.\nAnswer: -20256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 9*u + 6. Suppose 5*k - 3*q = 65, 0 = 4*k + 2*q - 13 - 17. What is the tens digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g - 1. Let v(z) = 41*z**2 + 2. What is s(v(t))?\nAnswer: -574*t**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2800 = -24*a + 38*a + 11*a + 87*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 416.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -94. Let h = -61.5 + l. Which is the second biggest value? (a) 1\/4 (b) 1 (c) h (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8620*j - 8621*j + 2*f - 6, -21*j + 4*f + 64 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.06127 micrometers in nanometers?\nAnswer: 97061.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from jjjjjjddjjjjjjjjjjjj?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*a + 1. Let j(i) = 5 - 4 + 12*i**2 - 1 - i. What is j(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 12. Solve -f*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32757.540366 - 0.236?\nAnswer: -32757.776366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (0 + 2 - 3). Let n be 7*v*(-9)\/(-14). Let l = 9 + n. Calculate the remainder when l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 28*j**3 + 7*j**2 - 11*j - 34. Let k be u(-8). Is 14\/77 + k\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 5*k - 15*k)*(13352*k - 207*k**4 - 13352*k).\nAnswer: 828*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(2\/7)*b)\/b)*b)\/(b\/b**8))**(7\/4)\/((b**(2\/7))**(-31)*(b**0*b*b)**(1\/50)) assuming b is positive.\nAnswer: b**(7811\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-1\/4))\/m))**(8\/3)\/(m*(((m**6\/m)\/m)\/m)\/m*m\/(m\/m**(-1\/2)*m)) assuming m is positive.\nAnswer: m**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4659*b**2*i**2 - 17225*b**2*y - 60*b*i**2*y - 193740*b*i + 7*i**2*y wrt b?\nAnswer: 9318*i**2 - 34450*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 15. Suppose -x*v + 2*c + 423 = 0, 0 = -5*v + 4*c + 570 + 135. What is the units digit of (-7)\/(-7) - v\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3725 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-120)\/20 - 2662*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 10*g**2 + 143*g - 1275. What is c(10)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 2*f - 48, f = 5*p + 15. Suppose -f = -g + 9. Let k(h) = 8*h - 30. Calculate the remainder when g is divided by k(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.065, -1558?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -20*t**2 - 19549*t - 155111. Give o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/14 and 73\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 12935, -5 in ascending order.\nAnswer: -5, 10, 12935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.66 + 0.34. Put -3, j, 2 in ascending order.\nAnswer: -3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-17 - -15 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(242) + -3 + sqrt(6)\/(sqrt(162)\/sqrt(6)).\nAnswer: -7 + 34*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 25*d = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 9 = -3*s, -6*s + 7*k = -3*s - 5*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-1) + (352\/48 + (-306)\/(-54) - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340384467 is divided by 4516?\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 bigger than 605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:45 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 1643823.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:18 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21708\/641 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1906a (base 12) to base 3\nAnswer: 1211220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**3\/6 + r**2\/2 + 7*r. Let h(c) = c**2 + c - 1. Let b be h(-2). Let q(k) = -2*k**2 + 8*k + 8. Give b*q(d) - 8*g(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 3*g + 18 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:41 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p + 143. Determine u(-26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 11, 372339?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 3d326c?\nAnswer: -3d3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.043 + -2.957. Do 259\/5 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - 0.05. Let l = s + 0.03. Which is the smallest value? (a) 0.2 (b) l (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -37*z - 596. Let m(n) = -13*n - 197. What is -6*d(v) + 17*m(v)?\nAnswer: v + 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 56319612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1000100110011011011100?\nAnswer: 1000100110011011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.18 and -2226.\nAnswer: -2226.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 19*w**3 + 167*w**2 - 8*w + 62. Give q(-9).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (-20 + 28 + -8 + (4 - -5))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -38, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40*(-3)\/(30\/(-4)). Let g = m + -13. Find the third derivative of 4*x**6 - 9*x**6 + g*x**2 + 0*x**2 wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.135021 millilitres to litres.\nAnswer: 0.001135021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**3 + 5*i**2 - i + 53. Let j(f) = 3*f**3 + 3*f**2 - f + 25. Let y(c) = -9*j(c) + 4*s(c). Calculate y(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 252 = 2*h, 2*h - 4*b + 252 = b. Let x be (h\/15)\/(1\/20*-1). What is the greatest common factor of x and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 12. Let u(w) = 1. Let p(q) = m(q) - 12*u(q). Let r(n) = 13*n**2. Calculate p(r(j)).\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 3*d + 1. Suppose 2*h + 28 = 6*h. Suppose 1 - h = -2*a. What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4, 3*z + 3 = -3*s - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4875570 by -1526.\nAnswer: 3195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y - 1. Let k be p(2). Let u = k + 9. Which is the biggest value? (a) -0.2 (b) 2\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -27. Let w = 13 + -18. What is the biggest value in k, w, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**4\/7 - 40*a**3 + 3930*a**2\/7 - 900*a\/7 - 5104\/7 = 0.\nAnswer: -58, -1, 4\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**2))\/i**6*(i*i**(-2\/5))**(-19))\/((i\/i**8)\/i*i*i*i*i**(-2\/15))**3 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187300 rounded to the nearest 10000?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2. Let r(s) = 36*s**2. Let d(x) = 27*f(x) + 4*r(x). Let i(y) be the third derivative of y**5\/20 + 25*y**2. Calculate i(d(b)).\nAnswer: 243*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14769 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501640, -501458, -501276, -501094, -500912?\nAnswer: -500730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/65, -4, -1, 1\/2, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 22. Let r be l - ((-146)\/(-2) - 4). Let i = 162 + r. Does 30 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 2}. What is prob of sequence uzu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 42. Suppose 0 = 3*x + 6, 13 + 13 = -5*w + g*x. Is ((-842)\/w)\/((-4)\/(-60)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10944991 is divided by 422?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/4 - 12666135*s + 32086195167645.\nAnswer: 5*(s - 5066454)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:49 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (4 - (-14 + 16 - -3)) + 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/5, 4, -0.1 in descending order.\nAnswer: 4, 1\/5, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let r(h) be the second derivative of -311*h**4\/12 - 2284*h. Give r(p(n)).\nAnswer: -2799*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(153) + 1)*3 + 3.\nAnswer: 6 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let g = 83 + -27. Calculate the remainder when s\/(6\/g)*3 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -274 and -0.1?\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 2 + 0*r**3 - 4*r**3 - 11*r - 6*r to f*r**3 + o*r + z*r**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/35*5\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 43*m. Let v(x) = -297*x. Give v(h(g)).\nAnswer: -297*g**2 + 12771*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5\/7, 1\/2, 67, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 149*f**5\/10 - 331*f**4\/12 + f**3\/2 + 2526*f**2. Find the second derivative of v(k) wrt k.\nAnswer: 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -113*c**4\/3 - 2*c. Let b(r) = -6867*r + 20587*r - 6859*r - 6863*r. Give b(v(j)).\nAnswer: 904*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:37 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4\/5, -2, -0.054, 2, 1 in increasing order.\nAnswer: -2, -4\/5, -0.054, 1, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 514*h**2 - 16830*h + 2294082.\nAnswer: -2*(h - 49)*(h + 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**6\/30 - 1273*i**5\/20 + 1349*i**4\/6 - 1916*i. Find the third derivative of p(o) wrt o.\nAnswer: 24*o - 7638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612224*j - 692287*j + 833845*j + 879698*j.\nAnswer: 1633480*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -6298 + 6296, 4*o - 2*a + 32 = -0*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33281\/5 + 6714. Let x = -58 + c. What is the closest to 0.2 in 0.1, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1018*x**2 + 371*x - 3. What are the prime factors of t(3)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412357 + 185962 = 8296*q - 48769 for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8652 a factor of 3553488876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4453 - -2489. Let i = k + 3294. Find the common denominator of 1\/(-8)*i\/15 and -31\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 406*d. Let l(z) = -5*z**2. What is l(b(i))?\nAnswer: -824180*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:15 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 686 + -685. What is the third smallest value in 335, -1, x?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*u - 145 + 145.\nAnswer: -55*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 11:00 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*a**2*h**2 - 5143*a**2*h - 85*h**2 - 2*h wrt h?\nAnswer: -152*a**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 456844.34 to the nearest one thousand.\nAnswer: 457000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -44*d**2 - 2. Let h(a) = 70*a - 146*a + 78*a. What is h(k(p))?\nAnswer: -88*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = 16*c + 2208 + 15532. List the prime factors of c.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:25 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -5 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3)*-5)*-5 - (0 + sqrt(50) + 5)**2.\nAnswer: -75 - 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58541 by 8363.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19600 and 14350?\nAnswer: 803600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-4)\/(0 - 1). Let p(q) = q**3 + 9*q**2 + 7*q - 9. What is the tens digit of p(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.25 - -52.25. Put 3\/5, -2\/13, -5, -4, o in ascending order.\nAnswer: -5, -4, -2\/13, 3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-480)*-88)\/(6\/8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 31*y**2 + 2*y - 22. Let u(z) = 93*z**2 + 7*z - 67. Determine 7*s(h) - 2*u(h).\nAnswer: 31*h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4240838 months in decades?\nAnswer: 0.011867365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*b**2 + 9*b - 9*b to the form q*b + s + f*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -881?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) 2 (b) -7 (c) 10\/21 (d) -2 (e) -1.3 (f) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-40)*2\/(-18)*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x + 2 - 194*x**2 - 9*x + 199*x**2.\nAnswer: (x - 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + (-5 - (-6 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 61*d**5\/5 + 731*d**4\/18 - 2*d**3\/9 - 4*d - 285. Suppose k(m) = 0. What is m?\nAnswer: -2, 0, 1\/366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060771843 to 3 dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534071089?\nAnswer: 3, 11, 61, 769, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -49*m**5 + m**4 + 35*m + 5. Let i(g) = -49*g**5 + g**4 + 34*g + 4. Let j(h) = -2*d(h) + 3*i(h). Find the second derivative of j(u) wrt u.\nAnswer: -980*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/(-492)*1*1*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1903400 and 120.\nAnswer: 5710200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 17\/(85\/50) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1547 + 2906. Is 1360 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/8 + 1358202*v + 1229808448536.\nAnswer: 3*(v + 1810936)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 49 = 5*w, -17*d = -16*d - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13731, 13728, 13725?\n\"Answer: -3*h + 13734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2680.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -282 + 282.5. Let p = 0.5415 - b. What is p rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 1 + 1)*(3 - 3 + u)*(3 + 2 + 6).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*((sqrt(125) - (-4 + sqrt(125) - sqrt(125)) - sqrt(125)) + 3))**2*5 + 1.\nAnswer: 4806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -32118000 to the nearest one hundred thousand.\nAnswer: -32100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1355*l*m - 96409*l + 96750163*m wrt l.\nAnswer: 1355*m - 96409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 0*h**2 + 2*h**2 + (-2*h + 2*h + 2*h)*(-2*h + 3*h - 4*h) + h**2 + 0*h**2 - 4*h**2)*(2 - 2*h - 2)*(-1 + 2*h + 1).\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q + 60 = -71*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -139, -173, -171, -121, -11, 171?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 386934 and 15486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 16*t**2 + t + 18. Let q be w(-16). Suppose 3*a - 6*d + 40 = -8*d, 0 = q*d + 4. What are the prime factors of a\/42 - (-1 + 2230\/(-14))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 2\/9, 38?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/990)\/(((-18)\/3)\/(-36))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 2*y**3 - 19*y - 7*y**3 + 51*y - 23*y - 26*y.\nAnswer: -5*y**3 - 17*y + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:10 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 370, -10, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02671691683 to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feceefff. What is prob of picking 1 f, 2 e, and 1 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 10. Solve -y = -x*m - 11, -4*m + 3 = y + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -137*h - 7. Let k be i(-2). Suppose -4*g + 5*g - 79 = -l, -3*g + k = -3*l. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*c - 5*p - 1, 0 = -c - 2*p - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**4 - 2 + 20*s**3 - 2*s**3 - 13*s**3 - 2*s**3 + s - s**2 to j*s**3 + i*s**2 + n*s**4 + f + u*s and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59083 is divided by 4543?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8043 equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 133, 267, 401, 535, 669, 803?\n\"Answer: 134*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let u(x) = -x**2 + 11*x + 1. Let l(a) = -u(a) - 2*w(a). Give l(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11844704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-3 + 0 + 7)) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*t + 931, -5*t = 3*w - 518 - 144. Suppose 4*v - 831 - w = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 8 = p + 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.4, -0.1, -2\/257?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let h(w) = -44*w**2 + 441*w - 14. Let d be h(10). Let u(t) = -2*t - 3. What is d*f(n) - u(n)?\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2\/5, 6, 1\/7 in decreasing order.\nAnswer: 6, 1\/7, 2\/15, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c3 - 3?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 8*h + 11. Let n(s) = -2*s**2 - 4*s - 5. Let z(i) = -4*a(i) - 9*n(i). Is z(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**3 - 9\/20*j**5 + 15*j + 1\/10*j**6 + 1\/2*j**4 + 0*j**2 + 0. Suppose p(z) = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + i)*(-i**2 + 3*i**2 - 4*i**2) - 3*i**2 + 2*i**3 + 3*i**2 - 8*i + 8*i + 3*i**3 - 2*i**3 - i**3 + 0*i**3 - 2*i**3 + 0*i + 0*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35, -46, 13, 178, 485, 970, 1669?\n\"Answer: 6*h**3 - h**2 - 50*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3, 2\/3027, 0.3, -22\/5 in descending order.\nAnswer: 3, 0.3, 2\/13, 2\/3027, -22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjjj when four letters picked without replacement from {x: 2, h: 6, l: 3, c: 1, j: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000052029 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113273253 + -10?\nAnswer: -113273263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*l + 351*l + 6630 = -293*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11290 or -327426\/29?\nAnswer: -11290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 626 and 76860593?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*z = -637 + 7097 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 5360*d + 5362.\nAnswer: -2*(d - 2681)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 689*o**3 + 6*o**4 + 2*o - 687*o**3 + 2*o**2 + 5 as s + r*o**4 + g*o**3 + w*o + i*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 6)*(12 + -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 6*p**3 - 7*p**3 - p**2)*(0 + 0 - 5*p**2) + (-2*p**4 + 4*p**4 - 4*p**4)*(-p + p + 2*p) - p**4 + 3*p**5 + p**4.\nAnswer: 4*p**5 + 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (6*sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3) + -1*(sqrt(3) + -1) + sqrt(3))*-6.\nAnswer: -36*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from gex?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**9)**(28\/5)*(b**(-2\/3)\/((b\/(b\/(b\/(b\/(b\/(b\/(b\/b**(-5)))))))*b)\/b*b))**1 assuming b is positive.\nAnswer: b**(641\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2553405189 to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 18*q + 19. Let h be t(17). Let r = 2 - -2. Let v(g) = 0*g**3 - r*g + h*g**3 + 2 - g**3 + 3*g**2. Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1514 - -1518. Which is the fourth biggest value? (a) s (b) 0.5 (c) -6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 - 9310*y**2 - 59034420*y - 50784501960 = 0.\nAnswer: -1458, 4778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-2))\/(-5) + (-115)\/(-2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 9289?\nAnswer: -10\/9289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2953*b - 23632. What is c(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 844208867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(210)\/sqrt(6)*2)\/sqrt(7) + -2 + 4)*-2)**2.\nAnswer: 192*sqrt(5) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 8*j + 14. What is n(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 48*v**3 + v**4 - 36*v**3 - 6 - 4*v**2 - 14*v + 9*v**4.\nAnswer: 2*(v - 1)*(v + 1)**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(44)*-4)**2 + 2*sqrt(1008) + -1.\nAnswer: 27 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 26, -0.3, 1\/8, -1\/3.\nAnswer: -1\/3, -0.3, 1\/8, 2\/13, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.24 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63)\/9 - (-33)\/6. What is the nearest to 0.1 in 15, h, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 2*b - 1. Let y be a(-1). Let h(x) = -x**2 - x - 14. What is h(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 26*y - 22. Let u be b(-20). Let l = 100 - u. Suppose -3*o - 5*n = -l*n - 441, 5*n - 139 = -o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11650 + -8163. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15259587 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 457957, 2, 1, -4, -5 in descending order.\nAnswer: 457957, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 2. Let h be n(3). Let g(b) = -b**2 + 12*b + 167. Let d be g(-8). Let w be (620\/d - 40\/70)\/1. Calculate the greatest common factor of w and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*x - 12 = 0, -2*j + 0*j + 4*x = 14. What is the units digit of 17 - 17 - 1\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + -831?\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1436*y**2 - 4*y - 150. Let z(b) = -1433*b**2 - 6*b - 152. Let k(t) = 3*c(t) - 2*z(t). Differentiate k(p) wrt p.\nAnswer: -2884*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17079541 (base 10) to base 13\nAnswer: 370004b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25496 divided by 599?\nAnswer: 25496\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 91 = 4*y, 2*n + 2*y - 34 = 198. Suppose 4*v = c + n, 0*v = 3*v + 4*c - 88. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 27*b**2\/2 + 57*b\/2 + 29\/2.\nAnswer: -(b - 29)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328845?\nAnswer: 5, 7, 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-116)\/(-24) + -3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(((t**(-20)*t)\/t)\/t)))**20)**(-22) assuming t is positive.\nAnswer: t**9240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*l**3 + 0*l**3 - l**3 + (1 + 1 - 3)*(l**3 + 0*l**2 + 0*l**2) - 1 + 2*l**3 + 1 + (-4*l**2 + 6*l**2 + 0*l**2)*(0 + 0 - 2*l) - 2*l**3 - l**3 + 2*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 - 2123460*x**2 - 16987632*x - 33975232 = 0. Calculate x.\nAnswer: -2123452, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*p + 502 = 0, -64 + 193 = f - p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 8*i - 6. Let j = i + 14. What is the second biggest value in 3, 0.3, j, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 8 - 28. Sort 4, t, -3 in descending order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 487 - 455. Let u = 32 - 30. What is the second biggest value in u, 0.1, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008817010?\nAnswer: 2, 3, 5, 23, 107827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1238 * 1.\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*f + 2*z, -z = f + 2*f - 8. Let q(i) = 12*i**2 + i - 1. List the prime factors of q(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrxggxgrrx. Give prob of picking 3 g.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -682*b. Let p(y) = -3553*y**2 - 3*y + 6. Give p(f(i)).\nAnswer: -1652585572*i**2 + 2046*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385 by 77.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97681026.\nAnswer: 2, 3, 16280171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7625561 greater than 7625562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5\/8, -0.69, -16\/9, -0.5?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97463\/9539395 + -31\/2515. Let y = v + -443461\/151720. Find the common denominator of y and -137\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8664*s**3 + 246*s - 17.\nAnswer: -51984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, l: 1, c: 5}. What is prob of sequence cccc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 58*p - 268. Let r = 283 + -278. Let f(u) = -29*u + 135. Let s(q) = r*f(q) + 3*a(q). Differentiate s(n) with respect to n.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4756 (c) -0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60911776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(546\/(-160))*-8*(64\/8)\/(-80).\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -30\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826 divided by -2421.\nAnswer: 826\/2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*c - 498 = 102*c - 18*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 2*l**2. Suppose 12*o + 7 = 31. Suppose r + k + 3 = o, 0 = -3*r - 4*k - 2. Give z(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:37 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/(a*a*a\/(a**(1\/4)\/a)*a*a))\/(a\/(a*a**21))**(-1\/25) assuming a is positive.\nAnswer: a**(-159\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/53)\/(c\/(c**(-4)*c)) assuming c is positive.\nAnswer: c**(-210\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 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: What is the value of 1 + -5 + -3 + 11 - (0 - -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(891) + sqrt(891) + sqrt(11) + sqrt(11) + -3 - (sqrt(1331) + 1 + 5)**2.\nAnswer: -1370 - 130*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.6 - 0.4. Let w = m - -11.000408. What is w rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4625.865 - -0.043617945?\nAnswer: -4625.821382055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/(27*3\/(-30))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54, 105, 152, 195, 234, 269, 300?\n\"Answer: -2*i**2 + 57*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282482425*u**2 + 327940490*u.\nAnswer: 564964850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/4)\/p*p**(-1\/2))**23 assuming p is positive.\nAnswer: p**(-253\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 6*b - 5. Suppose 13 + 3 = -4*c. Let v be y(c). Suppose -5*k + 45 = v*l, k - 4*k = -2*l - 8. Calculate the remainder when 17 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 722 and 282568.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1729, 2278, 2923, 3712, 4693?\nAnswer: 5914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 820*i**4 + 12*i**3 + 685*i**2 - 3*i + 3. Let c(s) = -s**4 + 4*s**3 - s + 1. Let m(q) = -3*c(q) + d(q). What is the third derivative of m(a) wrt a?\nAnswer: 19752*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 158 - 29 + 54)*(-3*z + 4*z - 3*z - 4 + z + 4 + (-z - 4*z + 3*z)*(2 + 3 - 3) - 1 + 1 - z + z + 0*z + 2*z) in the form u + y*z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 5. Let d(y) = y**2 + 7*y + 18. Suppose -10*n - 20 = -5*n. Calculate the smallest common multiple of d(n) and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**5\/v)**(-28))**(-2\/39))**10)**20 assuming v is positive.\nAnswer: v**(44800\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-855)\/(-105) - 2\/14. Suppose -3*h + d*h - 180 = 5*x, 4*x + 189 = -5*h. Let b = 92 + x. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*6\/(-36)*(-3)\/(-3)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -2 + 8 - 4\/2. Suppose 5*l - 2*s = 2177, 0 = -l - 2*l + c*s + 1295. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 20276. Let a(g) = -386*g**2. Calculate j(a(o)).\nAnswer: 1158*o**2 - 20276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.96 - -18. Which is the smallest value? (a) 0.2 (b) 12 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2210*b**3 - 32*b**2 - 2*b + 12. Suppose 2*n = 3 - 29. Let z be y(n). Round z to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 2, -7 in decreasing order.\nAnswer: 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*h + 3*l + 16, 4*h + 5*l = -12. Suppose -31 = -h*s - 5*t, 4*s - 16 = -t + 1. Solve 9 = s*g - i, -i = -4*g + i + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000148423431 rounded to 7 decimal places?\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.0424\nAnswer: 0.1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 659819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-29*u**2 - 52*u**2 - 18*u**2).\nAnswer: -198*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g + 5. Let d(s) = 2*s**2 - 5*s. Calculate d(y(p)).\nAnswer: 338*p**2 - 195*p + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 21*t**2 - 20*t + 48. Let s be c(-22). Suppose 5*d - 5*i - 1370 = s*d, 4*i = -4*d + 5432. Suppose d = 12*x - 7*x. Does 24 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1906?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13544 + 7?\nAnswer: -13535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2996162332 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqebqoqqqebebqqbees. Give prob of picking 3 e and 1 s.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1580 - 1578. Let h(f) = -2*f - 1. Let d be h(-4). Let u(p) = -p**2 + 8*p - 5. Calculate the remainder when m is divided by u(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135261 and 1439055.\nAnswer: 191394315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Suppose -2*q + 0 = -4. Let y(m) = 0*m**2 - 2*m**2 + 5*m**q. Give y(x(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5156?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -5.04784096.\nAnswer: 4.64784096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147328504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 37 = p - 9*p, -2*v = 2*p - 2. Let b(a) = -a**2 - 7*a + 4. Let s(y) = -y**2 - y. Let w(c) = -b(c) + 2*s(c). Determine w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*l - 35*l - 111 - 94 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 8 = -3*m - 47, -9271*g + 2*m + 20 = -9272*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-4)*(-285)\/(-1045) + (2 - 3) and -111\/400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101111111 + -1110?\nAnswer: 1010101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15 - 31*j + 13 + 6 wrt j?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1671 is divided by 21\/(-28)*(304\/(-6) + (0 - 0))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -167. Let o = 132 - w. Suppose 6*i - 70 = i. What is the greatest common divisor of i and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -422445, -422955, -423465, -423975, -424485, -424995?\nAnswer: -425505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from {q: 7, d: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511952515.\nAnswer: 5, 23, 29, 153509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69993156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12*d**2 - 513*d - 35763. Give g(80).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-115)\/10350*-1125\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 44. Let n be (-3*1)\/(0 + -1). Solve -9 = -n*x, 4*q - x + 5 - g = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -971956854.0997.\nAnswer: -971956854.5997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-66))\/((-66)\/(-1980)*100\/(-12)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 + 62484*w + 68638592 = 0 for w.\nAnswer: -14432, -1189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**5\/(((x**(-1\/4)\/x)\/x)\/x)**34 assuming x is positive.\nAnswer: x**(201\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 - 4)*(1 - 1 + 3)*((-6 + 3 + 1)*(1 + 1 - 3) - 1 + 3 + 0 - 4 + 5 + 0 + 4 + 3 - 4)*(3*h - 3*h + 3*h) to s + d*h and give d.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1705 = 2*l + 5*i, 2*l + 2089 - 3822 = -i. Calculate the greatest common factor of 261 and l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25353 + -24849. What is the lowest common multiple of 4 and a?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 85 (b) -2\/7 (c) 0.086 (d) -0.128\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 156, 2.\nAnswer: 0, 2, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-4)\/792)\/((-46)\/(-92))\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5725270 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.4318 - -0.1318. Let q = 16.7 - h. Let w = 80.3 - q. Which is the third smallest value? (a) -3\/7 (b) 0.06 (c) -2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2 - (12\/8 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -25. Suppose 2*r = 3*g + k, -4*r + 10 = -10. Is (-1 + g - 0) + 18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 16*n = 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (980\/(-2730))\/((-8)\/(-171)). Is -7 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4) + (108 - 179 - -167).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2127 (b) 4\/177 (c) 0.09 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 11:53 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6834114.98556 + -6834707. Let g = -592 - i. Round g to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjj when three letters picked without replacement from {b: 4, g: 3, j: 4, v: 5}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.008 - -12.008. Which is the closest to -1? (a) i (b) 0 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 125, 124, 123, 122?\n\"Answer: -k + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 267286847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 + 3*o + 17. Let i be y(-5). Which is the nearest to 0.1? (a) 4 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 12. Let a(d) = 57*d. What is a(f(m))?\nAnswer: -114*m**2 + 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117742196 to the nearest integer?\nAnswer: 10851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/33 - (-2)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/29 - 211\/1160. Let y(l) be the third derivative of -l**3 + 0*l - r*l**5 - l**2 - 1\/4*l**4 + 0. Let y(z) = 0. What is z?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - (-4 - -15)) + 14 + 21.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -998 divided by 5?\nAnswer: -998\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2007\/402 + -5). Is (-6)\/2 - (-1 + x) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 - 22. Let t = s - 46. Let z = t - 24. Which is the nearest to -0.2? (a) z (b) -0.03 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {p: 6, e: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*-6*(-7)\/(-2) is divided by (0 - -2) + -3 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) - 18490\/(-15). List the prime factors of i\/81 - 2\/9.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6 + (-6279)\/(-12054))\/1. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0724 - -0.9724. Which is the second biggest value? (a) -3\/2 (b) 39 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -511 + 589. Calculate the greatest common factor of 156 and a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -808399415 or -808399414?\nAnswer: -808399414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 8 = 23. Suppose -38 = m*b - 5*b. Suppose -y + b = -6. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:59 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3235 + 3319 = -12*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 + 1. Let s = 0.4 + w. Let u = 158\/39 + -44\/13. Which is the second biggest value? (a) s (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/2700 and 119\/7200.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + -0.2. Let g = y - -0.7. What is the nearest to -0.2 in -2\/19, 0.5, g?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*y**2 + 1602*b**2 - 8*b*y**3 + 69*y wrt y.\nAnswer: 2*b**2*y - 24*b*y**2 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2188 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = -0. Find the common denominator of 3\/(-240)*35\/(-14) and (y\/(-24))\/((-2)\/(-74)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003394653 rounded to seven decimal places?\nAnswer: 0.0003395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66130359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (438\/73)\/(6\/(-36))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -108046390321928.\nAnswer: -108046390321928.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0151 plus -16631?\nAnswer: -16627.9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 120 - 49*u + 23*u + 24*u - 57.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6442\/5, -0.3, 1235\/8 in ascending order.\nAnswer: -6442\/5, -0.3, 1235\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.03 (c) 13\/2 (d) -4\/5 (e) -157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -24. Let i be ((-3)\/6)\/(3\/36). Let d be (i\/(-7))\/(1\/49). What is the greatest common divisor of d and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(4 - 51\/12). Suppose 2*j + 3*t = 531, 2*t - w = -2*t. Let z = j + -130. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7670*i**4 - 259*i**2 + 15*i.\nAnswer: 184080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/60 - m**4\/6 - 2*m**3\/3 + 75*m**2. What is k(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/((-6839316)\/54))\/((-5)\/165*3)?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + s + 176 = 3*s, -2*v + 2*s + 334 = 0. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -76*o**3 - 7*o**2 + 16*o - 6. Let d(m) = -76*m**3 - 8*m**2 + 20*m - 7. Give -4*d(w) + 5*v(w).\nAnswer: -76*w**3 - 3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 473*q - 473*q + 33*q**2 + (-18 - 19 + 10 + (3 - 2 + 1)*(2 + 0 - 1))*(-1 + 1 + 2*q**2).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/6 + 5*s**2\/2 - 3*s. Let z be a(0). Solve l = -v - 4, 3*v = l + z*v + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -9.9. Let b(x) = x**3 + 8*x**2 + 2*x + 15. Let r be b(-8). Let i be (-3 + r - 1)*-1. What is the closest to u in -1\/6, -3, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 - -2 - (6535 - 6594)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -2549.\nAnswer: -112\/2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 24907 - 73475 = 0. Suppose -25*c = -28*c + r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*o + 20*o - 2*o**2 - 41*o.\nAnswer: -2*o**2 - 93*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5 - 9) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(468) - sqrt(468))**2*-4 + (sqrt(468)*-2 - sqrt(468))**2 + 3 + 5 + 1*(sqrt(468) + 3 + 1).\nAnswer: 6*sqrt(13) + 4188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k - 22 = -5*u, -2*u = -5*k + 16. Let j be k\/(-6) + 4\/(-12). Calculate the remainder when 32 + j + -2 + 3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 1. Let d(q) = -3*q - 3. Determine d(v) + 4*g(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2022 - 1?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19228342 - 9*f**3 + 19228342.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436977 to the power of 1\/2, to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334 - 53*y + 50*y + 334.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:29 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 1232?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3640?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 + (-652)\/(-4). Let n = -1065 - -1083. Calculate the greatest common divisor of n and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 3.\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.260649ns in hours?\nAnswer: 0.0000000000050724025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28849 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 + 2*u + 7. Let i(n) = -2*n**2 + n + 4. Let m be (-7 + 1)*1\/(-2). Let x(y) = m*c(y) - 5*i(y). What is x(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1996.\nAnswer: -1\/998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 2\/323?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1485 and 1.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*n + 52*n + 442*n - 52*n to the form c + h*n and give h.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*a**3 + 204*a**2 + 129*a - 54 = 0. Calculate a.\nAnswer: -9, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**2 - 12*b**6 - 474*b - 6*b**3 + 548*b - 6*b**6 + 13*b**3 + 2*b**6 wrt b.\nAnswer: -1920*b**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*w - 9, 0 = -2*j - 0*j + w - 5. Put 0, j, 6, -5 in descending order.\nAnswer: 6, 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.64 - 0.\nAnswer: 24.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/12 (c) 2 (d) -0.4 (e) -206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5250\/(-280))\/(9\/(-5244144)). What is y rounded to the nearest 100000?\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15919.52 greater than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -123+-1994\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {w: 5, i: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -613 + 616. Let t = -33 - -38. What is the nearest to k in t, 1\/4, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 167*b**3 + 7*b**2 - 2*b - 2. Let l be m(2). Suppose 1361*v - l*v = 3975. List the prime factors of v.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 10882 in ascending order.\nAnswer: -7, 2, 10882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36509316 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2545, 10080, 22639, 40222?\nAnswer: 62829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2282 (base 14) to base 16.\nAnswer: -176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*d + 0*d - 3*d + (2 - 2 - 2*d)*(-5 + 2 + 1))*(1 + 9*d**2 - 1) in the form w + m*d**3 + r*d**2 + c*d and give m.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -14*d + 20. Suppose -2*f = 3*z + 9, 4*z + 2*f + 11 = -1. Sort 6, z, -2, d in descending order.\nAnswer: 6, -2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 129, 261, 393, 525, 657, 789?\n\"Answer: 132*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1\/2, -4.95746 in descending order.\nAnswer: 1\/2, -1\/8, -4.95746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -3, 0.7, 2, 18 in decreasing order.\nAnswer: 18, 2, 0.7, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.2. Suppose -t - 5*h - 121 = -89, t - 18 = 5*h. Let x = -0.1 + -0.9. Which is the nearest to x? (a) -0.1 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddddddduddd. What is prob of picking 1 u and 1 d?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 23*h - 63. Let j(n) be the third derivative of -1\/10*n**5 + h*n**2 + 0 + 0*n**4 + 0*n - 2\/3*n**3. What is the first derivative of j(z) wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37574.\nAnswer: 2, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 3*s**2 - 4*s - 1. Let k be d(-3). Let v = k + 32. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*m - 144*m + 64*m + 3623 + 2419 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from {u: 3, s: 2, i: 12}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*q - 95 - 170 + 29*q + 76.\nAnswer: -68*q - 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 235 = 191 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16100.9 litres to millilitres.\nAnswer: 16100900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23599875 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-24)*2)\/((-117)\/(-5857674)). Let n = 12515 - c. Find the common denominator of n and 105\/12 + 0\/2.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/8*10)\/((-1)\/4). Let z be 3*1\/2*-2. Sort u, -2, z in decreasing order.\nAnswer: u, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/7*(-1)\/(-2). Suppose -2*i + 5*i + 9 = 0, 9 = h - w*i. Solve -c = 4*u + 22, -3*u - 2*u - 5*c - 35 = h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 g when four letters picked without replacement from {i: 11, g: 5}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623861 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlnaavvaavz. Give prob of picking 1 a and 1 v.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -1 (c) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {s: 1, b: 4, k: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -119074560.7 and 18.\nAnswer: -119074542.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1300935911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d - 9. Let q(z) = 3*z**2 + 3*z - 2. Let v be q(2). Let m = v - 10. Is c(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721*(1\/(-2) + 1)*2?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 77972840.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from llolhlllshlsshhoh.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790226, 790228, 790230?\nAnswer: 790232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**2\/2 + 18. Let y(n) = 88*n**2 - 183*n**2 + 93*n**2 + 20*n. Give m(y(b)).\nAnswer: 2*b**2 - 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32719447 - 32719503.6904988. Let z = 10.69049834 + f. Let b = z + 46. Round b to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**3 + 11115*u**2 + 41181075*u + 6863. Factor s(i).\nAnswer: 3*(i + 3705)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/70)\/(2\/(-10)). Let l(q) = -2 + 3 + 4*q + 5 - o. Let y be (19 + -15)*5\/(-4) + 1. Calculate l(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + w + 1468. Suppose -2*s + 4*t + 157 + 19 = 0, 5*t + w = 4*s. Let q = -19 + s. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 65. Let q(t) = -2*t**3 - 10*t**2 - 8*t + 4. Let l be q(-6). Suppose -v - l = -r*v. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19965, 19967, 19969, 19971?\n\"Answer: 2*w + 19963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 22*y + 8. Let k(s) be the second derivative of 7*s**3\/6 + 3*s**2\/2 + 4*s - 266. Determine -3*f(r) + 10*k(r).\nAnswer: 4*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 56724 = -39697. What are the prime factors of q?\nAnswer: 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -3795.\nAnswer: 26565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -5, -1, 1\/7, -50, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.1 (b) -44 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-63)*(20\/25)\/1?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.51, -3, 540?\nAnswer: 6.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 6*n**3 - 4*n**3)*(-52*n + 61*n**2 + 27*n + 27*n + 16*n).\nAnswer: -122*n**5 - 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 12:04 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 5*g**2 - 9*g + 9. What is s(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 - 14*j - 6. Let h be y(-3). Suppose h = -4*d + d + 18. Solve 3*b - d*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -785991*n**2 - 29904*n - 1 wrt n.\nAnswer: -1571982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*a - 14. Suppose a*q = 20 + 165. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28390 - 28390.4. Which is the nearest to 3? (a) -11 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 662 + -673. Let v be (-4)\/6 - (-25)\/15. Which is the second biggest value? (a) v (b) w (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20550574 is divided by 3425095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9566*t**2 + 4 + 8 - 12.\nAnswer: 9566*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10418*l + 9702*l - 700 = 1265 + 3047 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 2*k**2 + 3*k + 3. Let s be -1*7 + (-28)\/(-7). Let v be l(s). Solve 5*u + 16 = v*i, -5*u - 2*i - 24 - 7 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = j + 395, -2*j + 0*j = 3*g - 1175. Suppose g = 3*d + 3*s, 8*d - s - 685 = 3*d. Let b = 347 - d. List the prime factors of b.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = 4*j, -n + 2*j + 1 = -6. Find the common denominator of 76\/132*n*3 and 51\/(-6)*(-3)\/(-12).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 44 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-513)\/(-9) + -2 - (-4)\/(-2) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/9436 and -27\/742?\nAnswer: 500108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -991*h**3 - 24*h**2 - 20*h wrt h?\nAnswer: -5946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -15688643*b + 7. Let w(p) = 2*p. What is m(w(o))?\nAnswer: -31377286*o + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1391, 2904, 4417, 5930, 7443?\nAnswer: 8956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153313 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oocc when four letters picked without replacement from occcccco?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11027858 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29\/(-4) - (-1)\/4. Let i = 1 + q. Let d be (-4)\/i - 6\/9. Solve -3*s - 2 - 1 = d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4679 - -58.322. Let o = y - 7.7188. Let w = 0.0353 - o. Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1))\/(3 + -4). Suppose p + 10 - 24 = -4*u, 5*u + p - 17 = 0. Suppose -3*d + t*d - x = -5, 0 = -u*d + 2*x - 1. Which is smaller: -3\/38 or d?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -102*((-33)\/(-9) + -4). Let u(c) = 2 + 37*c + 59*c + 3 - w*c. Is u(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -23. Is v smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 3*d**2 + 3*d - 3. Let t be j(2). Let v(y) = y**2 - 5*y - 7. What is v(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/(-210)*2\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 28 + 5)*(-2*k + 2*k - 2*k)*(-k - 3 + 3) to p*k + g*k**2 + n and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279150 = -2830*i + 2855*i. What are the prime factors of i?\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**5 + 4378*y**4 + 4*y**3 + 2*y**2 + 110727?\nAnswer: 120*y**2 + 105072*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:14 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 6*d**2 - 6*d - 7. Calculate the remainder when o(-6) is divided by (32\/10)\/(59\/295).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - 3*u + 3 - 2 - 3 - u**2 + u**4 in the form r + t*u**3 + i*u**4 + y*u + v*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 3*n + 120 = 0. Suppose 10*l - 176 = n*l. Calculate the highest common factor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5 = -3*v, -5*f - 49 + 41 = 4*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 1. Let j be r(2). What is the third derivative of -5*w**4 + j*w**4 + 5*w**2 - 2*w**2 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 111*v = 106 + 512 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4001 + -4008. What is the second smallest value in c, -3, -40?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16518 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44.6 and 0.1755.\nAnswer: 7.8273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -9\/7, 5, -98, -2\/15, 3\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.2515 - -34.8193. Let c = u + -30.949. Let i = 10.4 + c. Round i to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(3) - (4 + sqrt(3)*1 - sqrt(3))))**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/12 - 11*v**3\/6 + 43*v**2. What is s(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -20 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 - 1140*w**4 + 61350*w**3 + 428260*w**2 - 1036035*w + 547560 = 0.\nAnswer: -8, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-81)*(-456)\/(-76)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3 - 2*v + v + 2*v - 2*v**2. Let y(u) = -8*u**2 + 4*u - 13. Let w(c) = c**2 + 5*c - 2. Let k be w(-5). Determine k*y(g) + 9*s(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 - 4 + 5 - 3 + (-5 + 1 + 2)*(1 + 2 - 5) + 1 + 0 + 0 - 4 + 0 + 2 - 3 - 3 + 4)*(-3 + 0 + 0)*(-5*g + 0*g + 3*g) + (2*g + g + g)*(-2 + 0 + 3).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 9*r - 6. Let c(j) = j**3 + 6*j**2 + 5*j + 6. Let u be c(-5). Let i be m(u). Suppose -h = -3*h + i. Solve 5 = -h*d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + r**3 + 4*r**3 + 0*r**3 - 2*r**3 + (1 - 1 - 2*r)*(-r**2 - 2*r + 2*r) + (2*r**2 + 2*r**2 - 3*r**2)*(-1345*r + 2212*r - 1342*r).\nAnswer: -470*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7779, 31068, 69861, 124140, 193887, 279084, 379713?\nAnswer: 495756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69171.2 centuries to years.\nAnswer: 6917120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 + 12 = 0. Calculate the greatest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 692 or 693?\nAnswer: 693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 4*g + 6*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-12))\/((-6)\/198). Let f(x) = x**2 - 10*x - 11. Let p be f(i). Solve 3*u = -p*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2397 - -2389.1. Let q = 21050.730339439 - 21042.83034. Let a = q + m. Round a to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -6, 0 = -3*j - 34*p + 31*p + 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*s = 0, -7 = -c - c + 3*s. Let l be -1 - (-2 - 0)*4. What is the highest common factor of c and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/11 (b) -0.2 (c) -0.051346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -126. Calculate the smallest common multiple of 52 and y.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 48, 4, 0 in descending order.\nAnswer: 48, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52618218 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*w = -10*w + 39690. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**3 - 2*c**3 + 2*c**3)*(-44 + 6*c - 6*c + 2*c).\nAnswer: -16*c**4 + 352*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -998*291\/(-44136) + -2. Let k be (-16)\/(-9808)*(-1 + 3). Let d = b + k. What is the common denominator of 7\/6 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 1 = 6*m, -m + 12*g - 11*g - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 9*s**2 - s**3 + 7*s**2 - 8 in the form r + y*s**3 + z*s**2 + h*s and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -34*a - 656. Let d(k) = 279*k + 5253. Determine -4*d(s) - 33*v(s).\nAnswer: 6*s + 636","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11520*j - 1 + 1 - 11973*j as x*j + f and give x.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -401 - -417. Solve -18*d + 22*d + s = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757770 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 508000 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 0)**2 + 2 + ((1*sqrt(156))\/sqrt(12) + -4 + sqrt(117))**2.\nAnswer: -32*sqrt(13) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - n + 1147, -2*h + 26 + 752 = -2*n. Suppose 2*m + 2*m = h. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-3)*18\/15. Suppose -2*k = 4*j - 34, -5*j + 15 = -n*k + 70. Solve 0 = w + 4*w + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a + 48. Give z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.91 times 0.4?\nAnswer: 23.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1494.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -160001*w**2 + w + 2. Let m(b) = -b**3 + 6*b**2 + 5*b - 4. Let v be m(7). Let g be (2\/(-6))\/(3\/v). Let a be z(g). Round a to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 7:29 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*76\/(-12)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.71 + 0.09. Let x(v) = v**3 + v**2 - 2. Let a be x(0). Let u = 143 - 2147\/15. What is the second biggest value in t, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85733\/10 - -8570. What is the common denominator of (183\/18)\/(3\/(-9)) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a)*(2 - a - 2)*(-5 - 4 + 3)*(0*a**2 + 7*a**2 - 3*a**2).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f - 48. Suppose -13 = s + v, 4*s + 0*v + 25 = 5*v. Let i = s - f. Solve i = -5*l + 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = -130. Let s = t - 16. What is the smallest common multiple of 8 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 1)*-1 - (0 + sqrt(1008))**2*6) + 3 - (1*sqrt(77)*5)\/(sqrt(11) + 1*sqrt(11)*2).\nAnswer: -6046 - 41*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/4 - (-3)\/6. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*170\/(-150) + 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g**3 + 8*g**2 - 186*g + 1136. Give w(6).\nAnswer: -1852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11671 - -11671. Solve m = 61*k + 23*k + 588 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(2) - -6*sqrt(10)\/sqrt(5) - (1 + sqrt(72) + 2 + sqrt(2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 899823 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2113.95 - 2114. What is the nearest to -9 in 4, t, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h = 4*h + 8 + 217 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -690 - -694. Which is the nearest to -4? (a) 1\/11 (b) v (c) 23 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/2)*a*a**(4\/9)*a*a*a**(-2\/23)*a\/(a*a**(-7))*a)**(-46) assuming a is positive.\nAnswer: a**(-5737\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/((-4)\/(-6)) + (-35)\/(-7). Let q(a) be the second derivative of -2*a**3\/3 + 5*a**2\/2 - 15*a. What is q(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22951030?\nAnswer: 2, 5, 2295103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26460 - 14879 - 16540)*(-4*h + 4*h - h)*(0 - 3 + 1).\nAnswer: -9918*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0819086 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -54.\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 14, -1\/3, 1\/3.\nAnswer: -1\/3, 0.2, 1\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 4. Let f be i(4). Sort 5, -1, f in decreasing order.\nAnswer: 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*j**3\/7 - 15678*j**2\/7 + 6980*j\/7 - 776\/7.\nAnswer: -(j + 194)*(9*j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g - 2*g**2 + 3*g + (915 - 459 + 8*g - 6*g + 618)*(g - 10*g - 2*g).\nAnswer: -24*g**2 - 11814*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/30)\/((-9)\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -28. Let l be k\/30 - 34\/(-10). Find the first derivative of 1 - l*t**2 + t**2 + 0*t**2 wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 204129?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -83, -5, 2, 7.\nAnswer: -83, -5, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2713054 and 16733?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d**2 + d. Suppose g - 2*x = -9, 4 = 4*x - 3*x. Calculate the least common multiple of 176 and o(g).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 10:58 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8366487 is divided by 889?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 + 727\/5. Let m = -6\/11 + 9\/77. Sort c, m, -3 in decreasing order.\nAnswer: m, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*i**2)*(6*i**2 + 13 - 13)*(4 - 5 - 1).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/120 + 899*b**4\/24 - b**3 + 19. Let t(p) be the third derivative of a(p). Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -775 - -781. Let g(o) = o - 125 + d*o + 3*o + 126. Let z(s) = 5*s. What is g(z(v))?\nAnswer: 50*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9064747 or -27194242\/3?\nAnswer: -9064747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 plus 25193146509?\nAnswer: 25193146509.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*z**4 + 237*z**2 wrt z?\nAnswer: 888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 8*a + 37 - 12 + 21*a + 3*a + 3*a**2. Determine w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-12)*(0 + 6). Suppose 5*o - 2*s = -0 + 15, o - 5*s + f = 0. Let v be (4 - 2 - 1)*o. What is the greatest common divisor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x + 0*x - 5*x)*(-4 + 4 + x) - 2 - x**2 + 2 + 13*x**2 - 18*x**2 + 22*x**2)*(-x - 3 + 3)*(-4 - 2 + 5).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let t(g) = 182*g. Calculate y(t(q)).\nAnswer: -182*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 9*f**2 - 11*f + 9. What are the prime factors of u(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2444 and 282?\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 61*w + 594. Determine q(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 51, -23, 6.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, 66, 164, 264?\n\"Answer: c**2 + 93*c - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2*-5*-5)**2 - ((sqrt(637) + sqrt(637) + sqrt(637) + -1)*3 + (-4 + 1 + sqrt(637) - sqrt(637))**2).\nAnswer: -63*sqrt(13) + 1592494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1345100 (base 8) to base 4.\nAnswer: 1130221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 267*i. Let n(z) = 1598057 - 1598057 + 4*z**2. Calculate u(n(q)).\nAnswer: 1068*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**8\/84 + 8*h**7\/105 + h**6\/5 + 4*h**5\/15 + h**4\/6 + 6*h**2. Solve y(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 8*h**2 - 4*h - 8. Let v be d(-7). Let q = 44 + v. What are the prime factors of (-10)\/q - (-40)\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/4 in 1\/6, 22, -9, -4\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -32. Does 14 divide m + -1 + (-6)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3518922 divided by 8646\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27\/5 in 0.2, -4\/9, -2, 1313?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*x + 301*x + 157*x.\nAnswer: 620*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 1\/4 (b) -5 (c) -0.5 (d) -2\/9 (e) -1 (f) 212065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, v: 1, g: 1, e: 5, o: 3, h: 2}. What is prob of picking 1 g, 1 e, 1 v, and 1 h?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*f**2 - 4*f**2 - 7*f**3 + 6*f**3 + 2*f**3.\nAnswer: f**3 + 35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 2. Let j = -2 + -1. Let r be n(j). Solve r*l + 3*x + 5 = 0, l + 13 = -6*x + 3*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-80))\/((-18)\/(-4555)). Let m = 76 - j. Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 50 = 5*l, 3*p - l = 2*p + 11. Suppose z - 4*z + p = 0. What is the smallest common multiple of 6 + -4 + -2 - (-8)\/2 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/4 - 21*u**3\/4 + 9*u**2 + 3*u - 12.\nAnswer: 3*(u - 4)*(u - 2)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531*d - 567*d - 9726 + 25278 = 0. What is the remainder when d is divided by 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000027951428 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 = -4*b, 3*l - 16 = 3*b - 2*l. What is the closest to 1 in 2\/3, -3\/4, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 1272360*g**2 + 363710919*g - 26000944398 = 0 for g.\nAnswer: 143, 423834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3918\/4)\/3 + (-3)\/(-6). Let c = x - 39. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65314 is divided by 3558?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1157*u**3 + 14*u - 14 + 2*u**2 + 16*u - 25*u. Let n be r(6). Round n to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165718786 at least -165718788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - 4327779?\nAnswer: -4327821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 88864.8 to the nearest 1000.\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, i: 3}. What is prob of sequence mm?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 243?\nAnswer: -4\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -896, -878, -852, -812, -752, -666, -548?\n\"Answer: u**3 - 2*u**2 + 17*u - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/((2\/(-3))\/((-11)\/(-33))). What is the units digit of 8004\/9 + w - (-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + -3*(sqrt(320)*1 + sqrt(320))**2).\nAnswer: 23016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.915 - 0.355. Let m = -48.54 + 49. Let g = m - t. Which is smaller: 0.41 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5970311155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.16 - 1.26. Let r = -32 - -31.6. Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 1, b: 2, k: 1, t: 1, z: 1}. What is prob of picking 1 t, 2 n, and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -696469 or -696465?\nAnswer: -696469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 8. Let v be x(4). Let j be (-2)\/(-2) - 35\/25. Are v and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*t + 2737, -2*h - 5*t - 688 = -h. Let j = -443 - h. What is j rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -37063*f**3 + 119*f**2 - 17*f. Let n(h) = -9266*h**3 + 28*h**2 - 4*h. What is -17*n(k) + 4*y(k)?\nAnswer: 9270*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 2*l - 4. Suppose -2*v + 10 = 4. What is u(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = d + 1, -d = -6*n + 2*n - 7. Let m = d - -10. Suppose -3*c + h = -32, -2*h - 25 + m = -2*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-838)\/120 - (273 + -280). Let l(q) be the third derivative of -13*q**2 + 0*q + 1\/12*q**4 - p*q**5 - 2\/3*q**3 + 0. Determine l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.169 at most as big as -2147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6476, 25949, 58400, 103829?\n\"Answer: 6489*f**2 + 6*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + v**3 + 18 + (3*v + 0*v - v)*(-v - v + 0*v)*(2 - 3*v - 2).\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1824 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 135*w - 431. Let k(i) = -68*i + 217. Let r(p) = 5*k(p) + 3*z(p). What is the hundreds digit of r(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3501*b + 66893. Determine s(-19).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1036)\/(-264) - 4) + (-8)\/88?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 3*m. Suppose -12 = -2*y - m*w, -2*y = w + 2*w - 16. Suppose -5*v + 717 = -y*v. Calculate the remainder when v is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 278, -311 in increasing order.\nAnswer: -311, -3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 - 3*r. Let j(n) be the second derivative of -3*n**4\/4 - n**3 + n**2\/2 - 2*n. What is 5*h(o) - 2*j(o)?\nAnswer: -2*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*(f\/f**0)\/f*f*f*f**(-15\/2) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5\/9)*i)\/(i**16\/i) assuming i is positive.\nAnswer: i**(-122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-375)*5*1\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let y(l) = 8639249*l**2. Give n(y(v)).\nAnswer: 74636623284001*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3 + 198252*t**2 + 3371250807*t + 3146142410730 = 0.\nAnswer: -32547, -990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43111101 (base 5) in base 10?\nAnswer: -363276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3938*i - 3944*i + 54 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-13)\/(-5))*5. Solve 4*v = 2*k + 7 + 3, 2*v = u*k + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244447 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7.156 (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 296\/4599565?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3625504, 3625503, 3625502?\nAnswer: 3625501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4542*w = 4540*w + 234. What is the remainder when 341 is divided by w?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 4*q**2 + q + 3. Calculate d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1 + 3*k - 1 + 2*k**2 + 2. Suppose 0 = u - 4*u - 5*n + 41, 12 = 3*n. Calculate the remainder when o(-4) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -20. Put 1, t, 4 in increasing order.\nAnswer: 1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 4*q + 7. Let k be n(5). Find the third derivative of 17*h**k + 469*h**6 - 16*h**2 + 60*h**2 - 462*h**6 wrt h.\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3420 is divided by 342.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-11\/4))\/((a*a**4)\/a) assuming a is positive.\nAnswer: a**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 161874360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -1 (c) -5\/3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00090004 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 569 + 562. What is the remainder when b is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -224, -334, -446, -560, -676, -794?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 63. Let f be l(7). Sort -4, f, -2.\nAnswer: f, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 233805304, 233805306, 233805308, 233805310, 233805312, 233805314?\n\"Answer: 2*u + 233805302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-87)*29*-69?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Suppose -k + q*v = -10, -4*k + 5*k = 4*v + 18. Let g = 0.076 - 0.136. Which is the nearest to 0? (a) 4 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiikik. Give prob of picking 2 i.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x**2 + 2*x)*(-5 + 2*x + 5) + (-1 - 2 + 1)*(-2*x**3 - 8*x**2 + 8*x**2).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 30263232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o**5 - 3*o**3 + 28*o**2. Let t(l) = -18*l**5 + 4*l**3 - 29*l**2. Let b(m) = 4*j(m) + 3*t(m). Find the third derivative of b(u) wrt u.\nAnswer: 840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3222, -6444, -9666, -12888, -16110?\nAnswer: -19332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10665.72 + -0.12.\nAnswer: -10665.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94.4 * -0.008.\nAnswer: -0.7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -18*x + f + 4, 4*x = -f - 4. Let i be 156\/16 - ((-15)\/12 - -1). Solve x = -4*q - q + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 715, 717, 719, 721?\n\"Answer: 2*s + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/26)\/((-6)\/96)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1650*z**5 - 239*z**2?\nAnswer: 99000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(2 + 33\/(-15)). Which is greater: 24 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1437900 to the nearest 10000.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14*1\/6 - (-490)\/735 - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzezzzzzzzzzzezzzz. What is prob of picking 4 z?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 7, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 10, -m + 78 = -5*k + 13. Let h(l) = -6*l - 4. Is h(k) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -t - 42. Is t\/(-5)*-5 + 248 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.8*351\nAnswer: -1333.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - p**5 + 2*p**5 + (6 + 10 + 2)*(-2*p**5 + 3*p**5 - 2*p**5).\nAnswer: -15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -6a?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-51)\/(-36))\/(2\/17294). Let i = x + -12258. Find the common denominator of i and 59\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 (base 8) in base 14?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2020805 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*(-3)\/(-36)*3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4 - 3*n**2 + 4*n**2 - 1. Let v(x) = x**2 - 4. Let h(j) = 3*d(j) - 4*v(j). Let c(z) be the first derivative of h(z). Let a(t) = t. Determine c(a(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17867577.\nAnswer: 3, 7, 13, 65449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -153, -178, -241, -354, -529, -778, -1113?\nAnswer: -1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-41 - (-50 - -28)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1\/4))\/(i*(i\/(i**(-7)*i))\/i)*i*i\/(i*i*(i**(-4)\/i)\/i)*i**(2\/11))**(-2\/13) assuming i is positive.\nAnswer: i**(-63\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 496634.1 microseconds?\nAnswer: 496634100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*x**2 + 1 - 1 + 3*x**2 + 20*x + 6*x to u*x**2 + m + g*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b + 10. Let a(f) = -f + 2. Let p(l) = -l**2 + 27*l - 91. Let m be p(4). Let n(t) = m*g(t) - 5*a(t). Let i(d) = d**2 - 12*d. Calculate i(n(z)).\nAnswer: z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*z - y, -5*y + 55 = 4*z - 22. Let o(q) = q**3 - q + 4. Let x be o(0). Let s = 13 + -9. Solve -z = -3*j - 0*j + s*i, -4*i - x = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187 + 185. Let u = -40.4 - -40. Put 1\/18, n, -1\/4, u in increasing order.\nAnswer: n, u, -1\/4, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = a + 4*a + 115, -2*b + a + 42 = 0. What is the greatest common divisor of 133 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/32981 and 6\/301?\nAnswer: 230867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2932*r**2 - 6020*r**2 + 2567*r**2.\nAnswer: -521*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/4 + -5)*0. Let p(a) be the second derivative of 0 - 1\/3*a**3 + n*a**2 - a. Let w(v) = -v**2. Give w(p(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-5))\/x*x)\/x*x*(x\/x**(-5))\/x*x*x)\/((x**2*x*x)\/x*x)**(-5)*(x*x\/(x**(1\/22)*x)*(x**14\/x)\/x*x)**6 assuming x is positive.\nAnswer: x**(1174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 3. Let j(c) = -c**3 + 5*c**2 + 7*c + 2. Let g be j(6). Let o be v(g). Suppose m - 2*u = 2*m - 58, -298 = -o*m - 2*u. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*h + h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*i + o, -5*i + 11 = -5*o + 2*o. Suppose u = -i*l + 78, 10*l = 9*l + u + 22. Calculate the least common multiple of l and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19\/6 (b) 1\/6 (c) -18 (d) -1\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 881*a + 9448 - 12091 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, v: 12}. What is prob of picking 4 v?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 68*g + 6. Let k be f(-34). Suppose 0 = y + 2*b + 16, -k*y = -y - b + 25. Sort y, 2, 1, -3\/5.\nAnswer: y, -3\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13140 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(1\/10))**(2\/19)*(r**(-4)\/r*r**0)\/(((r\/(r*r*r*r**1))\/r)\/r*r)**2 assuming r is positive.\nAnswer: r**(854\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12 + 2\/(-8). Let j = 14 + -9. Suppose 8 = j*z - g, 4*g - 5 = 3. Solve x = -p + z - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 - -133. What is the remainder when r is divided by (-13 + -1*2)\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {h: 2, e: 3, v: 3, u: 3, k: 1, x: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -3404934 and -13619739\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120525545?\nAnswer: 5, 7, 83, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:12 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 13 + 24*m - 13 in the form z + t*m and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274538 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 12. Factor 96*h**5 - k*h**3 + 2*h**2 + 23*h**4 + 25*h**3 + 57*h**4.\nAnswer: 2*h**2*(3*h + 1)*(4*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and -0.21.\nAnswer: 7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310473 and 4887.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*j - 1151, v + 2*j - 305 = 7*j. List the prime factors of v.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 2753*u**4\/12 + 779*u**3\/6 + 167*u. Find the second derivative of l(h) wrt h.\nAnswer: 5506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1764 - 1759. Let u be (-2927)\/5 + 4\/10. What is the hundreds digit of (3 - u\/x) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 15, 11, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/63585 and -1\/1945701.\nAnswer: 9728505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -855 - -862. Let k(w) = -9*w - 2. Let h be 3 + 8 - 2 - 3. Let t(j) = 9*j + 2. Let m(o) = h*k(o) + r*t(o). Let l(y) = -4*y - 1. Give 7*l(p) + 3*m(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1169\/6 - 4240\/21. Calculate the common denominator of 31\/8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 11*t + 204 = 0, 203*r - t = 203*r + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80040 and 22185.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*p - 3 + 10 = 0, -3*p = 4*b - 9. Let l(v) = -11*v**2 - 13*v - 11. Let c(i) = 5*i**2 + 6*i + 5. Determine b*l(j) + 7*c(j).\nAnswer: 2*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - ((sqrt(55) - sqrt(110)\/sqrt(2)) + sqrt(55) - sqrt(55)))\/sqrt(5) - (-2*sqrt(22)\/sqrt(2) - sqrt(11)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-23)\/1058*-23*(-28 - 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 17\/2. Let y = 137 - 179. Let v be 4\/((4\/3)\/((-56)\/y)). Which is the closest to f? (a) 0.4 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g. Suppose 5*h - 5*r - 35 = 0, -3*h - 5*r - 3 + g = 0. Suppose -h*p = 5*k - 6 - 66, 0 = 5*p + 10. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60517199 is divided by 4350.\nAnswer: 4349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32\/7 - 89\/21. Let w = -326 - -326.188. Let q = -0.488 + w. Put q, -1, l, 2 in increasing order.\nAnswer: -1, q, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(288) - (3 + sqrt(288)))**2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 1\/2 (c) -10 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34080818 bigger than 34080819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*n - 1820 - 17638. Let x = 40 + 6. Calculate the highest common divisor of n and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Let r(v) = 4*v + 6. Give -r(y) + 3*z(y).\nAnswer: -y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282664, -2261362, -7632114, -18090946, -35333884, -61056954, -96956182, -144727594?\nAnswer: -206067216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 155 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1054, 2536, 4022, 5512?\n\"Answer: 2*c**2 + 1476*c - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1170*c**2*p**3*r - c**2*p**2*r**2 - c**2*p**2*r - c**2*r**2 + 2*c*p**3*r**2 - c*p**2*r**2 - 72*c*p*r**2 - 2*c*p - 4*p**4 wrt p.\nAnswer: 7020*c**2*r + 12*c*r**2 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303 - -329. What is the remainder when 98 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 17*t + 11. What is p(-8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 14) in base 9?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c = 57*c + 941. Let v = c + -626. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*r**2 - 1614104*a*r + 6350746*a wrt r.\nAnswer: 4*a*r - 1614104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13853 - 23801 - 19304 + 19008 = -506*q for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**24\/(f**(-4)*f**2) assuming f is positive.\nAnswer: f**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**2 + 3*f + 5. Let y(b) = 16*b**2 + 7*b + 11. Determine 7*v(i) - 3*y(i).\nAnswer: 8*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 35432600 to the nearest 100000.\nAnswer: 35400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1309, 1986, 3115, 4696, 6729?\n\"Answer: 226*l**2 - l + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13))**(-3\/10) assuming h is positive.\nAnswer: h**(3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 545 - 233. Suppose 167 + d = 4*i + 3*c, 3*i - 4*c = 378. Does 36 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 632 and 1185.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Let j(w) = 64*w. Calculate j(c(k)).\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**5 + 85*i**4 + 95*i**3 - 2165*i**2 + 4400*i - 2420 = 0.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 - -273. Let v = -130.787 + s. Let n = 0.087 + v. Which is the closest to 10? (a) n (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211918 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 16 = 4*j + y, 3*y = 2*j + 4. Suppose 2 = -3*m + j*m. Solve 4*r - m = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -588867, -588888, -588911, -588936, -588963?\n\"Answer: -j**2 - 18*j - 588848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57354 - 57352. Suppose -k = 2 - 3. Solve -2*b - b - 2*i - 1 = 0, -b - w*i = -k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003301303 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 14 = 3*q, -2*q + x = 28 - 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 5*h**2 + 8*h + 5. Let j be b(-7). Suppose -v + j = -0. What is the remainder when v is divided by 2\/(-6) - 245\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96 - -245bd?\nAnswer: 24675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4 + 34*q**2 - 47*q**2 - q**3 + 2. Let a be y(-13). Suppose a*x - 126 = 30. Solve -p + x = 3*c - 6*p, -26 = -5*c + 4*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -178, 0.5, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (71 + -72)\/(1\/(-3)). Solve -7*g + 4*h = -3*g + 8, 0 = g + y*h - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = 4*g. Suppose -4 = -3*f + g. What are the prime factors of 4\/((-4)\/(-3)) + f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1. Let t(q) = -19*q + 2. Let k(p) = 4*c(p) - t(p). Let g be k(1). Is 15 a factor of (-5)\/g + 466\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8*p - 2 = 7*p, -44 = 5*j - 9*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 9*j**2 - 8*j + 3. Let v be k(8). Suppose -v*x = p - 8, 4*p - 3 = -3*x + 11. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133 + 122682?\nAnswer: 122825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105\/(-28) - (-5 + 1). Let c be (-2 - -1) + 0 + 2. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-1 - 0)\/(-1)). Suppose 4*o - 15 = -x. Suppose 7 - 1 = o*a. Solve -4*k = -a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o + 6. Let u(q) be the third derivative of -q**4\/12 - q**3\/6 + 2*q**2. Let b(s) = -t(s) - 6*u(s). What is the tens digit of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1344 - 1347. Suppose 4*u + 3*i = -4 - 16, 4*i = -5*u - 25. What is the second biggest value in o, 2\/17, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 350 + -343. Suppose q*h - 39 = -18. Let o = 0.8 + -0.7. Which is the biggest value? (a) o (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 666*m**2 - 142*m - 2 wrt m.\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(3))**2 - sqrt(54)\/sqrt(2)) + sqrt(36)\/(-4*sqrt(48)\/sqrt(4)).\nAnswer: -13*sqrt(3)\/4 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3873620 rounded to the nearest ten thousand?\nAnswer: 3870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + 5 + sqrt(243)*1 + 4 + sqrt(243)*2 + 5))**2.\nAnswer: 25272*sqrt(3) + 84816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*b - 19. Let i = b - 7. Let o be (-47)\/(-5) - 8\/20. Solve -5*a - 21 = 2*q, 5*a + 10 = -i*q - o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 946693, 946692, 946691, 946690?\nAnswer: 946689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123 + 435*o**2 - 130*o**2 - 123 to the form q*o**2 + d + b*o and give q.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**5\/5 - u**2\/2 + 414*u. Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e7 (base 16) to base 6.\nAnswer: -10555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 770 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7609536 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (40 + 69 + 431 - 1331 - 1117)*(2*c - 4*c + 8*c) in the form a*c + p and give a.\nAnswer: -11448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -240144014 (base 5) to base 15\nAnswer: -16ad59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 - 4*m**2 - 7*m**2 + (-2 + 5 - 1)*(m**2 + 1 - 1) + (1 - 1 - m)*(3*m + 2*m - 6*m) - 5*m**2 + 5*m - 5*m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 46 + -9 - (-1 + -3 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 5359*p**2 - 5357*p**2 + p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96381 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:01 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23735201.\nAnswer: 7, 3390743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 4:43 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -12*l + 28. Suppose 2*i = 4*i + l. Let p be (-2)\/4*(i - -10). Let g(b) = 3. Let h(m) = -m + 1. Calculate p*h(f) - g(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*c + 2*r, c + 201 = -2*c - 14*r + 123 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**6\/5 + 18*u**5\/25 - 3*u**4\/5 - 4*u**3\/5 + 9*u**2\/5 - 6*u\/5 - 77. Factor a(q).\nAnswer: -6*(q - 1)**4*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594280.\nAnswer: 2, 5, 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.388 + 33.33. Let y = o - -0.058. Put y, -0.1, -4, -0.2 in decreasing order.\nAnswer: y, -0.1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 134*d**2 + 894*d - 653. What is r(127)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a. Let d = -12 + 5. Let v(u) = -3*u. Calculate d*v(t) - 2*m(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360746?\nAnswer: 2, 317, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1118.3 + -1119. What is the smallest value in -4, v, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.409.\nAnswer: -2.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 83*s**2 + 4*s + 16. Let f(z) = -42*z**2 - 2*z - 7. Let b(q) = 5*f(q) + 2*y(q). Find the first derivative of b(i) wrt i.\nAnswer: -88*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -1208?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 1.68, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 3. Let g be 6\/(-30) + (-82)\/(-10). List the prime factors of z(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1299, -2576, -3889, -5256, -6695, -8224, -9861?\nAnswer: -11624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/3 - 4*j. Let z(x) = -2*x**2 + 5*x**2 + 732 - 732. What is m(z(t))?\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19074 (base 11) to base 3\nAnswer: 1100121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 3102.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 104035 = 104038, -5*d - 3*b - 65 = -d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85680 - -85790. Let d = -2 - -3. Suppose -d = -y + 9. Calculate the lowest common multiple of y and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -11*z + 13*z - 6, -4*c = z - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 330\/24) + (-41)\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*s - 24666 + 258746. Calculate the highest common divisor of 380 and s.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*o + u + 125613, -u = -3*o + 75369. List the prime factors of o.\nAnswer: 2, 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 11 = -9. Let f = -2636 - -2639. Which is bigger: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 + -201131113333?\nAnswer: -201131120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 7*i**2 - 33*i**2.\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 49*h**2 - h + 35. Let d(w) = 2*w**3 + 33*w**2 - w + 23. Let m(k) = -8*d(k) + 5*j(k). Let y be m(-21). What is y rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*h**2 + 15*h - 305*h**2 - 12 + 153*h**2 = 0. What is h?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u = -174*u - 737*u + 38456 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-5))\/((-4)\/40). Let i be 2 - 0*2\/b. Suppose 2*a + 2 = 3*k, 1 + 2 = -3*a + 4*k. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3393 + 1153621\/340. Suppose 0*g + 6*g = 2*g. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 1464\/2741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -101?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(68))**2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, 86, 2\/5, 3, 5\/2, -1?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/3)\/(4 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (5 + 1 - (-4 + -26 + 19)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 7:39 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 12*d = 0. Let w(i) be the first derivative of 2\/5*i**5 + d*i - 2\/3*i**3 + 0*i**2 + 3 - 7\/4*i**4 + 7\/6*i**6. Factor w(l).\nAnswer: l**2*(l - 1)*(l + 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a. Let x(w) be the first derivative of -91*w**2\/2 - 21*w - 4. Let g(i) = 9*i + 2. Let o(f) = -21*g(f) - 2*x(f). Calculate -4*c(q) + 3*o(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -2\/3, -19, -15, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j + 4. Let h be o(9). Suppose -4*u + 2 = -2*s, h*s - 3*u + 0*u = -14. Which is the biggest value? (a) s (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 40, 46, 52, 58?\n\"Answer: 6*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1288)\/(-3381))\/((-1)\/6*-4))\/6.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 675*k**2 + 1763*k**2 + 3014*k**2 + (-k + 3*k + 0*k)*(k + 2*k - 5*k).\nAnswer: 4098*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16550553?\nAnswer: 3, 2029, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7558235 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77212 and 2786.\nAnswer: 540484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2. Let s(t) = t + 3. Let k = -157 - -159. Determine k*s(n) - 3*y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 1719.\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828400 is divided by 565.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.996 - 5.496. Sort -0.15, z, -1\/3 in decreasing order.\nAnswer: -0.15, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -4*c, 5*i - 4*i + 3*c - 13 = 0. Let q(j) = 8*j + 1. What is the units digit of q(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:48 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 37. Suppose -s = s + v*r, 1 = -r. Solve 3*w + 5 = k + 1, s*w + 21 = -3*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + u + 15. Let r be 6\/(-30) - (-2)\/10. Determine z(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10931 and 728093.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 6*f**2 - 7*f - 1. Give o(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 times 0.11402279?\nAnswer: 0.0695539019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -498618.99 from 3980.\nAnswer: 502598.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 10*m**2 - 326*m - 260. Determine w(24).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:58 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z + 0 + 0 - 39*z to t*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604827.\nAnswer: 1601, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 - 17*b + 259. Let j(x) = -17*x**2 - 47*x + 784. Determine 4*j(c) - 11*s(c).\nAnswer: -2*c**2 - c + 287","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 + 18*w**2 + 20217*w - 20234 = 0. Calculate w.\nAnswer: -134, 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1768 - -5c92?\nAnswer: 4527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.0844, 0, -7 in descending order.\nAnswer: 0.0844, 0, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*q = 534*q + 83960. List the prime factors of q.\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -984.\nAnswer: -1\/984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4160 (base 11) to base 2.\nAnswer: -1010110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2362 + -309?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o - 3. Give b(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 6. Let p = d - -10.3. Let b = 0.4 - p. What is the nearest to b in -2\/3, 1\/7, 1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19366 + -19366.102804. Round c to three dps.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*b - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18344 - -19340. Calculate the highest common factor of m and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244 and 3965?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71158 - 64*i**3 + 378*i**3 - i + 71158 to the form f*i**3 + d*i**2 + u + a*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + j = -8, -2*j = -r - r + 8. Suppose 3*z - 7 - 26 = 0. Suppose z = 6*s + 77. Put r, s, 5 in increasing order.\nAnswer: s, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 - 37. Let t = -80 + q. Calculate the greatest common divisor of 99 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from nbbmbbmnsbbbmmnbbbb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36325.1 micrograms to kilograms.\nAnswer: 0.0000363251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341225 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*r + 397*r - 478*r = 13104 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 289*m + 3204 + 264 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-181938)\/(-4)*((-14)\/(378\/225) + 9)?\nAnswer: 30323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(33))\/(sqrt(11) - (sqrt(132)*1 + sqrt(132))\/sqrt(12) - sqrt(11)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*q + 2*q**2 + q**2 - 3*q**2 - q**2 to u*q + m*q**2 + d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/8)\/(6\/48). Let t be (a + 4)\/((-2)\/4). Let d = 194 + -191. Solve -t*l + 11 = -g, -4*g + d*l + 8 = -0*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 299 = 4*k, 2*k - 214 = -k + 7*k + 14*b for k.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s + 21. Let t(q) = q - 1. Let h(z) = -6*t(z) + w(z). Let r be h(-9). Let p(l) = l**3 + l**2 - l + 2. Let d be p(-2). Is r greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.048 + -104.048. Let s = -100.35 - m. Let c = s + -3.64851. Round c to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 305\/25 + -7 + 2\/(-10). Suppose 0 = -x*t + 2*k + 153, -t - 2*k = -4*k - 37. What is the second derivative of -12*q - 16*q - 2 - t*q**2 + 2 wrt q?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i + 43*i - 2349 = 7*i. What is the highest common factor of i and 10237?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61112 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by -5136\nAnswer: -35\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/((-51)\/(-9)) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-42)\/(-9) - 4). Solve 0 = -3*m + r + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let z(k) = 44 - 5 - 39 - 195*k**2. Give d(z(m)).\nAnswer: 195*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 396882 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -211\/6, -243, -2\/9, 3, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 14.87. Let d = 0.03 + m. What is the nearest to -1 in 0.5, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2\/5 (c) 20 (d) 1\/1447\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(99) - sqrt(99)*-2) + 0 - (1*sqrt(99) + 0 + (sqrt(99) - (-2 + -1 + sqrt(99)))))*-3)**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -86, -147, -238, -365, -534, -751, -1022?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 7*s. Let d be p(-7). Let a(n) = 0*n - n + d*n + 2. Suppose 0 = -0*k + 4*k + z - 13, 3*k + 4*z - 26 = 0. Calculate a(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 3, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/20 - b**3\/3 - 17*b**2. Let o = 2 - 24. Let y(t) = -16*t**2 - 11. What is o*m(v) + 4*y(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/147 and 91\/8?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 897426*a.\nAnswer: -2*a*(a + 448713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from nnnmnmkmn?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 7:44 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -889 - 10*i - i + 1031 - 4*i**3 wrt i.\nAnswer: -12*i**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3395 - -3515. Calculate the lowest common multiple of 720 and c.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 37. Let t(n) = 1. Let a(i) = -r(i) - 5*t(i). Give a(-27).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 6*m - 14. What is the remainder when h(6) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/180 + f**4\/2 - 37*f**3\/18 - 1095*f**2. Find w, given that z(w) = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4106 - 2119. What are the prime factors of z?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -32 - (29 - 31)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -21?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 2*h - 1. Let t(r) = 859*r**3 + 4*r + 1332. Let d(w) = t(w) - 2*u(w). What is the first derivative of d(f) wrt f?\nAnswer: 2565*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2\/247 (b) -93 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 184, 408, 720, 1120, 1608, 2184?\nAnswer: 2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5948 is divided by 1187.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30428\/9 + 3381. Factor 0*z**3 - 1\/9*z**4 + t*z**2 + 0 + 0*z.\nAnswer: -z**2*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)*y)**(-44)\/((y\/(((y\/y**(-3\/4))\/y*y)\/y*y))\/y*y*(y**(-5\/2)\/y*y)\/y*y))**(-16))**9 assuming y is positive.\nAnswer: y**(-468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/(9\/81). Let l be (-1)\/(-1 - 4\/(-5)). Let j be (l + -6)\/(7*-1). Which is the biggest value? (a) v (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 + 28*v**3 - 35308*v**2 - 35452*v + 211848 = 0.\nAnswer: -97, -3, 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minus 1.0672?\nAnswer: 95.9328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4601 + -216249\/47. Put -5, r, 4, -0.3, -0.1 in decreasing order.\nAnswer: 4, r, -0.1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 1641, 5468, 12897, 25128?\nAnswer: 43361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 442725086 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6902133853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 2\/1461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*j + 5697222 = 0, -3*w = w + j + 11394488. Let b = w + 1338844597\/470. Let z = -6\/235 + b. Calculate the common denominator of z and -44\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 48 = -1357*m + 1354*m, 10*p - 42 = m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-4))\/3 + 6\/24*140. Solve 31 = a + r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {v: 1, p: 2, z: 7, h: 4, u: 6}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q**(-2\/13)*q))\/q)\/q)**(8\/3)\/(q*q**(-6)\/q*q)**(-2\/23))**(-2\/95) assuming q is positive.\nAnswer: q**(14396\/85215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 481, -0.844, 0.5?\nAnswer: -0.844","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*t)*(t - 3*t + 3*t + 1 - t - 1 + (1 - 2 - 1)*(0 + 0 - 2*t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -221, -498, -887, -1388, -2001?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 5*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-10) + 3)\/((-31)\/155). Let t = 3.4 - 0.4. Which is the nearest to -2\/7? (a) y (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 10*u. Let k be q(10). Suppose k - 6 = -x. Suppose 0 = -x*y + 25 - 1. What is the closest to -2 in 3\/7, 2, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*n + 7, -38*s = -40*s - 4*n + 24. Solve -v + 64 - 58 = i, 2*i - s = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -0.047 (c) 0.01 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q**2\/2 - 15*q\/2 - 9 = 0. What is q?\nAnswer: -6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -27. What is the greatest common factor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81407793 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1350)\/(-240)*(-291)\/(-485).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 690004\/30 + 76\/(-570). Round x to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9798447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 5. Which is greater: l or -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 31*v**2 - 36*v + 190. Let j be s(30). Solve 4*t = m - 0*t + j, -3*t = -4*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1577432 or 1577431?\nAnswer: 1577431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 2, 1\/2, 36, -4 in decreasing order.\nAnswer: 36, 2, 1\/2, 0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1539908235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 5*i = 19*v - 5, 6*v = -4*i + 54. What is the nearest to 0.3 in v, 3, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170 - -81. Let q = -89.000058 - w. Round q to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256923460 to the power of 1\/2, to the nearest integer?\nAnswer: 16029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = -4*t, 0 = -3*q + 5*t + 25 - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) 5 (c) 6 (d) -2\/77 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**3 - 4*q**2 + 4*q + 3. Let o(y) = -6*y**3 - 5*y**2 + 5*y + 3. Give 5*m(d) - 4*o(d).\nAnswer: -d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -59*r + 2. Let t(p) = -4787*p. Give o(t(u)).\nAnswer: 282433*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 242\/1 + (-16 - -11). Suppose -t + i - 171 = 0. What is the smallest common multiple of t and 27?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1335)\/7 - (-4)\/(-14). Suppose 2*s - 204 = -2*d - 570, -4*d + 408 = -2*s. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - a - 1586 + 1532 = 0, 2*c + 5*a = -40 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 v when four letters picked without replacement from vvgvgvgvvvvgvg?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 - 436. Let r = 474 + a. What is the highest common divisor of 51 and r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8.8. Let z = p + 0.2. Let o = -10 - -7. Sort -0.3, z, o.\nAnswer: o, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2377 + -2372. What is the second biggest value in f, 36\/7, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h\/(h\/(h**(-2\/7)*h)))\/(h\/h**1)**29)\/(h**(-6)*h\/h**(5\/6)*(h**1)**(-2\/37)) assuming h is positive.\nAnswer: h**(13367\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1475.\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (225 - (125 + -46)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(459)\/(-2*sqrt(9)) - (sqrt(51) + (sqrt(816) - sqrt(51)))*4)\/(sqrt(30)\/(sqrt(490)*5)).\nAnswer: -5775*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + 4*sqrt(153)*-1)*-1.\nAnswer: 6 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -55, -63, -69, -73, -75, -75?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 1, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/7)\/(156\/42 + -3). What is the closest to 2 in -5, 1\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48935774.\nAnswer: 2, 24467887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 528811446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.52 millilitres to litres.\nAnswer: 0.46452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-3 - -2) - -8) + 461 + -507 + 3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 22 = 5*d, 4*k - 8 = -4*d. Let u(o) = -o**2 + 7*o - 7. Let x be u(5). Suppose x = -s + 7. Solve d*b - s*a = 18, 0 = -5*a - 2 - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193 + a - 13*a - 83 + 43 to u + y*a and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011010 + -110001?\nAnswer: 1000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(3 + -7). Suppose -5*q - 4*r + 52 = -0*r, -5*r = x*q - 14. Solve -4*s + w + 3 - q = 0, -2*w + 13 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 203044, 31, 2 in increasing order.\nAnswer: 2, 31, 203044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*s - 6, -2*k - 2*k - 9 = 3*s. Let d be k + 20\/(-15) + (-50)\/(-6). Factor 6 - 9 - 2*f - 7 + f**2 - d*f.\nAnswer: (f - 10)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22799681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d077 (base 16) in base 3?\nAnswer: 20001002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/25496 and -103\/31870.\nAnswer: 127480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -23. Let a = 892 + w. Let v(b) = -a*b + 920*b + b**2. Let q(c) = 7*c. What is v(q(j))?\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 7 + 32*b - 1 + 7 - 16*b**2 + 14*b**2.\nAnswer: -2*b**2 + 32*b + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15167062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(24)*6)\/((sqrt(84) + 2*sqrt(84) + sqrt(84))\/sqrt(7)) + -1.\nAnswer: -3*sqrt(2)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 377971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666312.\nAnswer: 2, 3, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 4*k + 3. Suppose 4*h = w - 4, 18*h + 8 = 14*h. What is p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -12 - 37. Let d be -2*14 - (1 - 1). Let q = m - d. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.4 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -109, 0.1, -3, 5, 9\/7, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 65\/7, 1, 5 in increasing order.\nAnswer: -0.1, 0, 1, 5, 65\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, 71 in ascending order.\nAnswer: -5, -3, -2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(70)\/(sqrt(10)*-2*-2).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-156)\/(-72) + (-2)\/12. Factor 0*k**3 + 9*k**2 - 3*k**3 - 4*k**2 + k**x.\nAnswer: -3*k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o - 2*g + 55, 2*g = 4*o - 116. What is the remainder when 415 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17955 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-63)\/(-28))\/(1 - -5). What is the second smallest value in -2, -3\/4, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1.819?\nAnswer: 0.7276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -213*v - 32038. Determine m(-163).\nAnswer: 2681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from {d: 3, b: 2, v: 2, i: 7, h: 3, r: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {z: 5, x: 2, s: 1, m: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 3225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -9. Let k = 30 - 22. What is the remainder when k is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 6*v**2 + 8*v + 6. Let o be s(-7). Let h = 0 + o. Let z be h*(-1 + 1)\/3. Solve 1 = g - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -821.4 + 822.4. Which is bigger: y or -146?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*a*d**3*w + 36*a*d**2 + 17323*a*d + 4*a*w - 94*d**3*w - 82*d*w wrt d?\nAnswer: 354*a*d*w + 72*a - 564*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 18 = -3*q. Let z be (-1)\/4 - q\/6. Factor -z*s**3 + 0 - 3\/4*s**2 - 1\/2*s.\nAnswer: -s*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71525542.49 + 71525207.42048108. Let t = -335.60952 - f. Let l = -0.54 - t. Round l to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800999144?\nAnswer: 2, 11, 109, 113, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 73*s - 2 + 129*s + 22*s in the form v + f*s and give f.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297 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: Let c(v) = v**3 + 19*v**2 + 142*v + 4. Let p(u) = -u**3 - 17*u**2 - 142*u - 3. Let r(l) = -3*c(l) - 4*p(l). Find the second derivative of r(s) wrt s.\nAnswer: 6*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3485)\/51 - -40) + 28.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15806976293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -7644239.3?\nAnswer: 7644234.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30161 smaller than 30161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 36.07, 0.1, -0.2, 5?\nAnswer: 36.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3404440 and 12.\nAnswer: 10213320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-105)\/294)\/(10\/(-4)). Which is the closest to -2\/5? (a) -65 (b) -2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*g - 1 + 3, 2*g - 1 = -3*a. Let k(y) = -7*y - 2. Give k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 4.7. Let u = 917\/15 + -61. Which is the nearest to 0.1? (a) -0.2 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29588315437 and -5.\nAnswer: 29588315432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**3\/3 - 612. Let d(v) = -924*v**2 + 2*v. Give d(y(l)).\nAnswer: -924*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.0976 to one dp.\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55735\/91 or -613?\nAnswer: -55735\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:08 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*j - 17 = 0, 3*j + 95 - 115 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -703282?\nAnswer: 1\/703282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 20 = 11*g. Suppose 3*z - 230 = -5*c, -g*c + 104 = z - 73. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**3 - z**2 - z + 1. Let b be (32\/(-12) + 2)*-6. Suppose -b*n = -8*n + 20. Calculate the lowest common multiple of n and r(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**2*g**2*w**2 + 1215*d**2*g**2 - 3*d**2*g*w**2 - 2*d**2*g*w - 3*d**2*g + 89*g*w**2 + 3*w wrt g?\nAnswer: -12*d**2*w**2 + 2430*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11681104 to the nearest integer?\nAnswer: 3418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4773 = 8*i - 4731. Is ((2 - 1) + -2)*1 + i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-165))\/(7\/((-25200)\/(-30))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -395248 by -127.\nAnswer: 395248\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((896\/12)\/16)\/((-11)\/(99\/6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1620 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + -1 - (-15)\/5. Suppose -4*t + 3*t + j = 0. Let w(m) = 4 - 67*m - m**t + 0*m**2 + 65*m. Calculate w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/86 and (338\/91)\/((-60)\/(-21)).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -25*q**2 - 2*q + 2. Let c(p) = 213*p**2 + 17*p - 17. Let z(f) = 2*c(f) + 17*n(f). Let m(u) = 161*u**2. Determine z(m(o)).\nAnswer: 25921*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*o**2 + 187*o**2 + 230*o**2 + 205*o**2.\nAnswer: 311*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8215b6 - -5?\nAnswer: -8215b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1405 + 1407. Solve 4*g - 3*c = 5, -5*c = r*g - 7*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/3 + 6508*d**2\/3 - 26128*d = 0. What is d?\nAnswer: -3266, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*s + 2*x, -3*s + 3*x = -s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 - 2*v**2 + 156*v - 82*v**3 + 28*v**2 - 122*v**3 + 56*v**2 + 50*v**3 - 82*v**4 = 0 for v.\nAnswer: -39, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -258 - -93. Let k = a + 158. Put 3, k, 2 in ascending order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167408?\nAnswer: 2, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25671128 a multiple of 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -456, -518, -588, -666?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 18, 13, 10, 9, 10?\n\"Answer: o**2 - 10*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m*z**2 - 52*m*z - 3*m + 2*z**2 - z + 305 wrt m.\nAnswer: -5*z**2 - 52*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1551096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6829897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72.2 + 41.2. Sort m, -2\/3, 3, 0.5 in descending order.\nAnswer: 3, 0.5, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -73*s + 368. Let a be j(5). Solve 6*m - 1 = a*t + 2*m, -2*m = 3*t - 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-42)*4\/60*6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 9*m**2 + 2*m + 9. Determine h(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-25)\/798)*(0 + -5). Suppose 3*h - u = h. List the prime factors of h.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -160155266 less than or equal to -160155267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 57. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12) - 11\/(-3). Solve -l*m + m = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-88)\/(-440) + 38\/10. Let q be 12*11\/22 - v\/(-2). Let f(a) = a**2 - 4*a + 2. What is f(q)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/5672 and 48\/7799.\nAnswer: 62392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243626 + 243625.999879169. Round a to 7 dps.\nAnswer: -0.0001208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -204, -881, -2008, -3585, -5612?\n\"Answer: -225*f**2 - 2*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/6 (b) -2 (c) 0.1047 (d) 0.4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*f - 145 = -725*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*z**2 + 50*z**2 - 317*z + 335*z + 3246 wrt z.\nAnswer: 14*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*u - 154*w + 153*w, -3*u = -4*w - 2 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5651871871?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Solve 0*l - a = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 22*l. Suppose -11*h + 64 + 1289 = 0. Let y = -124 + h. Determine b(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2082*g**2 + 32 + g**4 + 0*g**4 - 2073*g**2 - 34*g + 10*g**3. Let i(s) = s**4 - s**2 + s + 2. Let k(v) = 6*i(v) - w(v). Let k(j) = 0. What is j?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -365855\nAnswer: -7317100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - -2 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/50 + ((-47)\/(-10) - (-151 + 156))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(sqrt(875) + (sqrt(875) - sqrt(875)*2))\/(sqrt(60)\/sqrt(12)*-4)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, j: 4, y: 2}. What is prob of sequence ggyy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (57*q**2 - 26*q**2 + 1651*q - 1643*q)*(76 - 76 - 20*q) as v*q + i*q**3 + n + w*q**2 and give w.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-15))\/((-26)\/(-39)))\/((-145122)\/(-6365))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -14. Let b = 1.52 + -27.52. Let d = b + g. Put 3\/7, 2, d in increasing order.\nAnswer: d, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 3*o + 2. Suppose -5*f + 14 = 3*n - f, -26 = -4*n + 2*f. Let m(d) = 9*d**2 - 6*d + 3. Let x(z) = n*m(z) - 11*y(z). Give x(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**3 - 3*r**2 + 6*r + 7. Let k(g) = 2*g**2 - g - 1. Calculate -c(p) - 6*k(p).\nAnswer: -9*p**3 - 9*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -222733, -445468, -668201, -890932, -1113661, -1336388?\n\"Answer: d**2 - 222738*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:28 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -38453898 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -0.016?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/(978\/6520).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(-4\/3)))**20*p**(1\/23)\/(p**(-3\/4)\/p*p))**(-1\/16) assuming p is positive.\nAnswer: p**(-13099\/4416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 - -188. Solve 3*n - 9 = 3*o, 3*o - g*o - 27 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 - 1310 = -3*o. Suppose -252 = 6*d + o. Let p = -93 - d. Solve -3*j + 4 = -5*r, -p*j + 2 + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*i - 19488 = 507*i. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 2*n - 20400 = 0. Suppose -11*m - n = -17*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 11:49 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(129\/16512)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10b9d2 (base 14) to base 7\nAnswer: -4562452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53599996, -53599995, -53599994, -53599993?\nAnswer: -53599992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4476457 rounded to the nearest 10000?\nAnswer: 4480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 606 or 584?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 1\/3*t**6 - 1\/20*t**5 + 51\/2*t**2 + 0*t**4 - 73*t - 1\/6*t**3 + 1. Find the second derivative of u(p) wrt p.\nAnswer: 120*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2720209\/92 + 29568. Let d = b + -6\/23. Are -1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.09 (c) -0.3 (d) 0.15 (e) -48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -24*p + 9*p + 9*p + 2842 - 2842. Let g(l) = -l + 63. Give k(g(a)).\nAnswer: 6*a - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/20 + 5*k**4\/12 - 7*k**3\/6 - k**2\/2 - k. Let q = 12 + -17. Is 17 a factor of c(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 9*n**2 + 35*n**3.\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33364, -66721, -100078, -133435, -166792, -200149?\n\"Answer: -33357*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let o = -295 - -296. Let x(m) = 55*m**2 - 2*m - 151. Let l(y) = o*x(y) - 4*a(y). Find the second derivative of l(u) wrt u.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 8*g - 3629. Suppose -4*u + o = -1672, -2*u - 2*o = -384 - g. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5382 and 3458.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngllzllggzggxll. What is prob of sequence nz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 2474316.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o**2 - 79*o - 93\/4*o**4 - 2\/3*o**3 - 173. What is the third derivative of i(t) wrt t?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 4*d - 308 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 162007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -698*w**2. Let j(o) = -29007*o**2. What is j(x(n))?\nAnswer: -14132326428*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*u - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -19 + (1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53888.11 years in decades?\nAnswer: 5388.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 1694028?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:26 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -20. Suppose 5*s + 3 = n. Calculate the highest common factor of 45 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s. Let b(i) = -2550*i + 5012*i - 2517*i. What is 6*b(g) + 39*w(g)?\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k**2 - 10*k + 10*k)*(12 - 19 - 11).\nAnswer: 234*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*c = 21, w - 25 = 4*w + 4*c. Is (w\/2)\/(16215\/5410 - 3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:20 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 904659 by -6.\nAnswer: -301553\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/9 (b) -289 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 5. Let d be n(0). Factor 3*s - 4*s**2 - 2 - 5*s + 3*s**2 + d*s.\nAnswer: -(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 17*y + 63. Let u = y + 20. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.4 - 31.400001096. What is s rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3961, -7218, -9769, -11614?\n\"Answer: 353*g**2 - 4316*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - -59) + 12 + -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -x + 30, 4*x + 5*t - 46 = x. Let l be (-5)\/(-12) + x\/(-33). What is the nearest to l in -3\/4, 2, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1632, 3, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000411 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - c + 1)*(-2 + 0 + 3)*(6 - 2*c - 6).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/30 - 3*p**5\/10 + 7*p**4\/2 + 253*p**2. Find the second derivative of y(j) wrt j.\nAnswer: 24*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 2}. Give prob of sequence pmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/5, -6, -0.9, -0.1.\nAnswer: -6, -0.9, -0.1, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/60 - l**5\/30 - 2*l**3\/3 + 77*l**2. Let g be y(2). Solve 2*r - 2*n + 7 = 3*r, 0 = -g*r - 4*n + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 374 - 120. Suppose b + 5 = n. Suppose 2*g + 4*d = -3*g + 138, 0 = -5*g + 4*d + b. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 20*o - 3*o + 22*o)*(16 + 23 - 14) - 1 - 3*o + 1.\nAnswer: -28*o - 1850","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in -1.4, 3, -0.4, 0.3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbb. Give prob of picking 1 c and 2 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1096*f**2 - 1098*f**2 + 0*f + 2*f**3 - f + 72*f**3 in the form y*f**2 + q + s*f + w*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1379172 divided by 18147.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217206.5 rounded to the nearest one hundred?\nAnswer: 217200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4)*2)\/((-2)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.65 + -0.35. Which is the closest to 9\/5? (a) 3 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9882 + 9927. Let i = 10 - 6. Calculate the remainder when g is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 6:22 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -0.3, 2.4, 2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922225?\nAnswer: 5, 37, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2619098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 12358*v - 86556. What is i(7)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/13)\/s)\/(s*s*s**(-1\/10)))**18 assuming s is positive.\nAnswer: s**(-3663\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 3:42 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*n - l, -6*n = -3*n + 2*l - 73. What is the remainder when 52 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -597 - -601. Which is the nearest to -1\/4? (a) 3\/2 (b) q (c) 4\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139\/18 + 56\/9. Let d = 4.5 - 4.3. Put -3, h, d in ascending order.\nAnswer: -3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 76?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 67*q + 200\/3.\nAnswer: (q - 200)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6048.02 to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + k - 4498 = -736. Calculate the greatest common divisor of k and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001861512 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 5. Let b(l) = -784*l. Determine b(q(t)).\nAnswer: -2352*t**2 - 3920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-315)\/(-3360))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71.8 + -6.8. Let l = -9.338 + 73.668. Let w = b - l. Round w to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -32255985.\nAnswer: -32255985.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 11) in base 12?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 4*v**2 - 21*v**2 + 8*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*o**4 + 277*k*o**3 + 768*k*o**2 + 131*k + o**4 - o**3 wrt o?\nAnswer: -48*k*o + 1662*k + 24*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84169, -674086, -2275301, -5393464, -10534225?\nAnswer: -18203234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2. Let i(a) = 27 - 13 + 2*a - 14. Give s(i(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4673, 29, -1, 4, -2.\nAnswer: -4673, -10, -2, -1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*(-6*u + 3*u + u)*(-2 + 0 + 1)*(43783 - 43783 - 276*u) in the form x*u**2 + y*u + i and give x.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 41\/178430?\nAnswer: 41\/178430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*h - 2007 + 14477 = 0 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:41 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*n + 5*k = -2*n + 55, 3*n + 2 = 5387*k - 5388*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28457 + 1878095\/66. What is the common denominator of l and -40\/39?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(343) - (sqrt(7) - (3 + sqrt(7))*-3).\nAnswer: -7 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 4, 17, -5, 2037?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l = 10*l + 27*l + 160 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 + (33 - 57) - (1 - -20)) + 0 + -113?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {s: 9, d: 1, a: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20975102.93 rounded to the nearest 1000?\nAnswer: -20975000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11101225 + 4304?\nAnswer: 11105533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7921 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3053 and 335546.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 298328*c**2 - 356*c + 356. Let r(f) = 2507*f**2 - 3*f + 3. Calculate 712*r(y) - 6*v(y).\nAnswer: -4984*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142709574?\nAnswer: 2, 3, 7, 71, 47857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 186328591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8250, -20086, -31922?\n\"Answer: -11836*x + 3586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.037 (b) 4 (c) -0.1 (d) 2\/5 (e) 1\/10 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1789*a + 7. Let v be l(11). Suppose 18*f + 33*f = v. What is f rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ac - -12?\nAnswer: 1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 6)*(2\/4 + -1). Let b(r) = 12 - 14 - 8*r**2 + g. Let t(f) = -5*f - 4. Let y(d) = -14*d - 11. Let o(j) = 11*t(j) - 4*y(j). Determine b(o(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k**(-9)*k))**(7\/5)\/((k**(-3)*k)\/k**(-26)) assuming k is positive.\nAnswer: k**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/8 + (7 + -10)\/(-24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let t(a) be the second derivative of -a**5\/40 + a**3\/6 + a. Let n(y) be the second derivative of t(y). Calculate l(n(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = 5*h, -14 = -5*v + 11. Let n(q) = 9*q + 32. Let k be n(h). Calculate the highest common divisor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9 and -1749?\nAnswer: 1748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001001111 - 101000000000?\nAnswer: -111001001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2233, -1\/30, 3?\nAnswer: 2233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 161 - 45. Suppose 3*p - 42 = 3*y + 6, 0 = 4*p - 2*y - a. Calculate the greatest common factor of 234 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2605574, -5211143, -7816718, -10422299, -13027886, -15633479, -18239078?\nAnswer: -20844683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 312*r - 188*r - 122*r. Let z(j) = 12*j - 11. Give u(z(f)).\nAnswer: 24*f - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9465, -18913, -28363, -37815, -47269, -56725?\nAnswer: -66183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15046392200 to the nearest 1000000.\nAnswer: -15046000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062\/177 - (-138)\/(-16).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 106, 248, 456, 736, 1094, 1536, 2068?\n\"Answer: t**3 + 24*t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 20*w - 15*w - 2*w to the form j + c*w and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 12. Let a be d(-7). Suppose a*n - 4*u = n + 36, 4*u + 27 = 3*n. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12050)\/(-723) + (133\/21 - (7 + -1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -50. Let i be (-1476)\/(-15) - (-3)\/j. What is the greatest common divisor of i and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -73. Factor 16\/5*u**s + 12\/5*u + 2\/5 + 24\/5*u**2.\nAnswer: 2*(2*u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2031 times -0.4\nAnswer: -812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 14 = -m, -2*m + 2 + 70 = 3*x. Suppose 6*d + 6 = m. Suppose 5*i = 2*y + 26 + 1413, d*i - y = 1150. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 9)*-1*1. Let a be v\/3*-2 + 0. What is the first derivative of -a + 0*w**3 + 3*w**3 - 2 wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17650?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 44 + 7*x - 95 + 44 + x**2. Determine y(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.2 - -46. What is the closest to 0 in 1, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 28. Let i = j + -17. Suppose 2*v - t - 125 = i, -3*v + 89 = 5*t - 79. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/2 + (-4)\/8. Suppose -c - g = -21. Calculate the greatest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 14, 20, 26?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33711, -135002, -303789, -540066, -843827, -1215066, -1653777?\nAnswer: -2159954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 9 = -0*n + 5*n, -u = 3*n + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.62 - -35.1. Let t = z - -1.62. What is the closest to t in -0.4, 0, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135299*n**3*q + 19599*n**3 + 4*n with respect to q.\nAnswer: 135299*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o**2 - 299*o - 54. Let z be w(-27). Solve -3*x - 6 = z, 3 + 11 = 4*r - 3*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135939 is divided by 328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.39 - 3.6. Let y = -0.19 + f. Which is the third smallest value? (a) 3 (b) y (c) -3\/7 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -15. Let j = 28 - f. Suppose -3*z = 2*k - j*z - 40, -k = -2*z - 18. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -56 (b) 55.1 (c) -1 (d) 6 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2486.5 + -2486. Which is the closest to 51? (a) 2\/9 (b) 5 (c) 4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -1.8. Let l be ((-1)\/4)\/(15\/20). Which is greater: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 5. Let k be f(-5). Let q(m) = 2*m - 6. Let l be q(4). Solve l*y = 4*y - k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:40 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -887\/83 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*q = -5 - 12, -7 = -3*w + 4*q. Let d = -2 - -5. Sort w, 0.3, d in decreasing order.\nAnswer: d, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2 + -2)\/1. Let z be (m - 0)\/((-5)\/(-130)). Let h = z - -38. Solve i = -3*i - h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 - 6.6. Suppose q + 11 = -0*q + 2*z, 5*q + z + 11 = 0. Let u be 3 + 8\/q + 0. What is the biggest value in u, h, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(19\/2)\/k*k\/(k\/(k\/(k\/(k*k**(11\/3))))))\/(((k**(-5)*k*k)\/k)\/k**(5\/2)) assuming k is positive.\nAnswer: k**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -62. Calculate the remainder when 74 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 2*u - 7*u + 3*u. Let s(n) = -2*n**2 - 3*n - 1. Suppose 3*c + 3*b = -b - 9, 4*c - 3*b = -12. Let t(p) = c*r(p) + 4*s(p). Factor t(m).\nAnswer: -2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 86.8?\nAnswer: 1996.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-2)\/(-41) - 0))\/(-26*(-29)\/1508).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167 and 3421766039?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(120\/(-25)))\/(6\/8)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.5 (b) -2\/129 (c) 0 (d) 77.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -11. Which is the fourth biggest value? (a) -2\/3 (b) -5 (c) -0.3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30330 - 220?\nAnswer: 30110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14064.2424 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4744200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 50*f + 464. Let l be r(-8). Solve l = 5*y + 2*i + 17, -2*y - 4 = -i + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = -3*q, -3*y - 5 = -3*q - 20. Suppose q = -34*v + 27*v. Which is smaller: v or 4\/93?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(99) + sqrt(99) + -5*(sqrt(99) - sqrt(99)*-2) + sqrt(99))\/(sqrt(63)\/sqrt(175)).\nAnswer: -240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4991.855 * -12.\nAnswer: 59902.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:19 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -32\/3*i**3 + 0*i**4 + 80 + 0*i**5 + 0*i**2 + 61\/3*i**6 + 0*i. What is the third derivative of f(w) wrt w?\nAnswer: 7320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + (3 + sqrt(475) + sqrt(475) + -2 + sqrt(475) + 4 - (-1 + sqrt(475) + (sqrt(475) + 0)*3)))**2 + -2.\nAnswer: -20*sqrt(19) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, 226, 86536.\nAnswer: -5, -3, 0, 226, 86536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*x = 565 - 159, -5*o = x + 640. Suppose 6*q + 167 + 85 = 0. Let j = q - o. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -14*p**2 - 19*p + 11. Let z(a) = -3*a**2 - 4*a + 2. Let g(d) = -2*j(d) + 11*z(d). What is the second derivative of g(b) wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 + -35625001?\nAnswer: -35625186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/27 and 5 - (2\/10 - 182760\/(-36450))?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k**2 + 2. Let u be w(0). Suppose z + 3 = u*z. Suppose -b - z*b = -20. Solve b*p - l - 3*l = 6, l - 3 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*c + 27, 2*c + b - 3*b - 38 = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/132 and 29\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1\/24*g**4 - 171*g**2 + 0*g + 1\/2*g**3 + 0. Suppose -x = 3*x + 12. Let z(l) = 3*l + 7. Determine x*z(p) + 7*f(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0 - 1\/12*l**4 + 1\/80*l**5 + 15*l + 1\/2*l**2 - 1\/24*l**3. Find p, given that o(p) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {y: 3, p: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1 - -104) + (26 - -17 - 56).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 6. Let n be (i\/30)\/((-9)\/27). Is -1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 8. Let q(g) = -7*g**2 - 6*g + 1. Let o(p) = -6*p**2 - 5*p + 1. Give j*o(h) - 5*q(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/11*1*-1 - (-10)\/2. Suppose -50 = -7*n + 2*n. What is the highest common divisor of n and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 10, 3*l = -2*d - l + 2130. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023403 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 19*x**2 + 2*x + 34. Let g be p(-19). Let z = g - -5. Do z and -3\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -333*r - 2*r**3 - 2*r**2 + 171*r + 168*r - 22. Let s(f) = -f**2 - f + 1. Let g(n) = c(n) - 4*s(n). Factor g(z).\nAnswer: -2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27047 and -386.\nAnswer: -10440142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 - -4. Let h = -2.92 - 0.08. Suppose 5*b + 4*u = -40, 3*b - 6*b = 2*u + 22. What is the closest to 6 in h, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 + 5*c - 6 - 1. Let o(b) = 5*b - 8. Let w(k) = -6*o(k) + 5*x(k). Let a(i) = -2*i + 3. Determine -8*a(u) + 3*w(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/72 and 1\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/124 and 77\/1832.\nAnswer: 56792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:49 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276065 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18821 + -18814. Solve -a*u = -2*u - 30 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3226990 - 12?\nAnswer: 3226978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.45 * -0.098.\nAnswer: -0.0441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -645*t**3 - 9*t**2 + 96*t + 393. What is the ten thousands digit of n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*a + 186*a - 11536 = 77*a. Calculate the greatest common factor of a and 1236.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2050 or -2086?\nAnswer: -2086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1\/4, -0.3, -1, -3\/35, 6\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -193, -62, 0, -2, -3 in decreasing order.\nAnswer: 5, 0, -2, -3, -62, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -8, 4, 32, 82, 160, 272, 424?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l, 3*p + 5*l - 455 = -450. Let w be (1\/(-3))\/(4\/(-6)). Which is the nearest to w? (a) 0.03 (b) p (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(9\/(-12))\/(15\/(-10)). Let f be 1\/(-4) - 5\/(-4). Sort u, 6, -3, f in increasing order.\nAnswer: -3, f, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/6 - 9839*s**2\/6 + 15811877*s\/6 + 5273905\/2 = 0.\nAnswer: -11245, -1, 1407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(1*sqrt(5)*1) + 3 - (2 + (sqrt(27) - (sqrt(27) + sqrt(27)*4))**2)*3.\nAnswer: -1299 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 - 102*u**2 + 582*u - 100. Calculate h(-39).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 12*s + 1. What is j(8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2733 - 2735. What is the nearest to j in -0.3, 0.005, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Let p(y) = 12*y - 12. Let z be p(-2). Let o be 4\/(-18) + (-62)\/z. Which is the closest to -2\/9? (a) n (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 20*u**2 + 54. Let o = 36 + -26. Let f be o\/3 - (-4)\/(-3). Let h(z) = 4*z**2 + 11. Let l(x) = f*y(x) - 11*h(x). What is the derivative of l(d) wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let a(l) = -14376*l - l**2 + 14470*l + 0*l**2. What is a(v(q))?\nAnswer: -q**4 + 94*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -765310510 to the nearest one million.\nAnswer: -765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/3, -10, 0.16, -2\/15, 2?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/13 - 846*v\/13 - 88704\/13 = 0.\nAnswer: -231, -192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-180))\/(40\/6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27193 and 30601.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.770754 years in decades?\nAnswer: 0.9770754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -1 - -4*sqrt(5)*1 - (-4 + 3 + 0 + sqrt(125))) + -1)**2.\nAnswer: -14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34715, -30002, -25289, -20576?\n\"Answer: 4713*s - 39428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 + 0.38. Let i = -0.06 + h. Let l = 0.2 - i. Which is the nearest to l? (a) -4 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jtvttttttttttttt?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2852 - 4826 = 223*j + 3026 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8) + 10\/4. Let w(u) = -9*u - 18. Let v be w(k). What is the remainder when 22*(v\/(-6))\/5 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095*d + 123 = -9*a + 1092*d, -3*d = 6 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*-2653\nAnswer: -4510.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from qotdobthb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 27 = -5*a, 3*a - 33 = 3*k - 6*k. What is the remainder when 67 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/10)\/b)\/b**(-1\/11) assuming b is positive.\nAnswer: b**(-89\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/15, 0.4, -3, 0.28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2861929 is divided by 2861865?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -180\/7*r**2 + 162\/7*r - 22\/7*r**4 + 2\/7*r**5 + 92\/7*r**3 - 54\/7.\nAnswer: 2*(r - 3)**3*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 2*b + 2*b)*(-4*b - 3*b + 5*b) - 8*b**3 + 16*b**3 + 12*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2086478 and 12971.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -11488.213 - -11493. Let x = z + 0.013. Let k = 0.2 + x. Put -1, k, 0.5 in descending order.\nAnswer: k, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = n - 6, -4*y - 46 = -5*n - 0*y. Solve -4*h - 2*z + 32 = 2*z, -5*h + 5*z + n = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(153) - sqrt(153)*2).\nAnswer: -3*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1571 and -1914 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8631b (base 14) to base 2.\nAnswer: -1001111001100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50556 divided by -431?\nAnswer: 50556\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*d**3*k**4 + 170*d**3*k**3 + d**3 - 306*d**2 + 2*d + 10 with respect to k.\nAnswer: 252*d**3*k**3 + 510*d**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35\/(-14) - -2)*-46*62. Calculate the highest common divisor of c and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*z + 954 = 0, -r + 4*z = 2*r - 598. Let g be (3 - -104) + (-8 - -11). Let b = r - g. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 389360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = 340*l - 613 + 3189 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**2 - 4*b**2 + 5*b**2)*(-3*b + 24*b - 7*b) to h + x*b + n*b**2 + t*b**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16923.56 to the nearest ten.\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1104, -2205, -3306, -4407?\n\"Answer: -1101*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 + 424322*v - 4243020 = 0 for v.\nAnswer: 10, 212151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(2\/11) - -3 - -4. Let a(p) = -p**3 - 2*p**2 + 5*p. Calculate a(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1642 + 1143?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-37)*(u\/((u*(u\/(u\/(u*u**18)))\/u)\/u*u))\/u*u*u)\/(u**(-2\/3))**(-38) assuming u is positive.\nAnswer: u**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*b**3*o**4 + 625*b**3*o**2 + 6*b**3*o - 330*b**3 wrt o.\nAnswer: 132*b**3*o**2 + 1250*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - w = v - 1, 5*w = -3*v - 19. Which is the nearest to 0? (a) 22 (b) 2\/17 (c) 8 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o = 19*o - 110*o + 638275. What is the highest common divisor of 242 and o?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8856988867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 222 times 3\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*a - 635 = -0*m, -295 = -2*m - 5*a. Suppose w = -4*w + m. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -28\/9721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**2 + 2865 - 2154 + 4*y**2 - 5*y**2 + 2*y**2 - 60*y wrt y?\nAnswer: -2*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 812978.3906 + -812982.248640257. Let m = 0.058040157 + g. Let w = 3.8 + m. What is w rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -498 + 1242. Suppose -4*t + q = 4*m, -371 = -m - m - 3*t. List the prime factors of m.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*127\/2. Let j = -79 - r. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3110293 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i + 921 = -5*b, 0 = 2*i + 2*b - 914. Suppose 2*q + 4*y = -0*q + 312, -3*q + 4*y + i = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29404580 divided by 1?\nAnswer: -29404580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/36*-3)\/((-1)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26418298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 15660*x + 15441*x + 0.\nAnswer: -219*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 2*p**4 - 2*p**4 + (3 + 2 - 6)*(p**4 - p**2 + p**2) - 2*p**3 + 2*p**3 - 5*p**4 - p**4 - 3*p**4 + 3*p**4 - 4*p**4 + 0*p**4 - p**4.\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/w**32))\/w*w**(-5\/4) assuming w is positive.\nAnswer: w**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r**2 + 24*r - 7. Let a(p) = 17*p**2 + 25*p - 7. Let t(m) = -4*a(m) + 5*h(m). Give t(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 187.567 and 0.0091479?\nAnswer: 187.5578521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3984 + 3984. Solve 14 = 3*c + 178*y - 173*y, -c - 2*y + 5 = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) - 0\/2. Suppose u*o + 12 = 6*o. Suppose -5*f - 4*w = -43, 0*w + o = 2*w. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from xxxxwxwxxqxfaxxxx.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose q + 0 = c. Let b = q - 4. Which is smaller: -1\/12 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 53*g = 183, 22 = 2*g + 28 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 17*o - 35427 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41307 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*20\/(-8))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103.1? (a) 5 (b) -9\/4 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*z**2\/4 + 825495*z\/4 - 117927\/2.\nAnswer: -3*(z - 39309)*(7*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015577 to five decimal places.\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**3\/3 + 19*n + 32. Let u(d) be the third derivative of -11*d**4\/24 + 7*d**2. What is u(a(q))?\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 2*z**5\/5 + z**4\/2 + 2. Solve y(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171088919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*((-1269)\/(-47))\/(-27)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6850003*x + 43 - 29 - 26. Let q be w(-4). Round q to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737 + 1875 = 4*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 274*h**2 - 335*h**5 + 685*h**5 - 343*h**5 - 2*h**5 - h**3 + h**3 + h**4 - h**5 - h**4 + (-4*h + h + 2*h)*(2*h**4 - 2*h + 2*h).\nAnswer: 2*h**5 + 274*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from ffcoolnnoff?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/5 - 14*j**4\/5 - 12*j**3\/5 + 88*j**2 + 160*j = 0. Calculate j.\nAnswer: -4, -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -109, -257, -455, -697, -977?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*12\/(-18). Let k be 4*v - 7\/7. Differentiate -3*r**3 - 6*r**k - 4 + 4*r**3 wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208991012 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 27000 = 2*n. Suppose -h - n = -4*h. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 40 (b) -5 (c) 0.3 (d) 155477 (e) 1\/3 (f) 2 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46169*y**2 + y - 15360*y**2 - 15349*y**2 - 15346*y**2.\nAnswer: 114*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86817742 divided by -17578.\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309500 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*p + 15, -2*p + 21 = 3*y + 2*y. Find the third derivative of 0*h**6 - p*h**2 + 2*h**6 - h**6 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/11 (b) 4 (c) -1810\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185 - 186. Let f = 1\/24 - -43\/120. Let t = 20.8352 - -0.1648. Which is the nearest to 1? (a) f (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25083767*i**5 - 4831670*i?\nAnswer: -501675340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 - 11*o + 3. Let p be c(4). Let h be p*(-72)\/(-30)*(-315)\/(-98). What is the highest common divisor of 414 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - s**2 + 5. Let d be i(0). Let p = d + -3. Differentiate -2 - p*c**4 + c**4 + 1 with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - l - 3*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 61510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = -1. Let k = 2 - j. Let v = k - -6. Calculate the greatest common divisor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*a - 37 + 2*a**2 - 62*a + 198*a - 77*a to f + l*a**2 + n*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -205\/3 < -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-21)\/(-4))*(27\/(-20))\/(278\/(-1390))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -117. Let r = n - 77.81. Let z = -2 - -2.5. Which is the nearest to 1\/3? (a) z (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*q + 195 + 62 = -23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+14280\nAnswer: 14279.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**30*(l**(2\/65)\/l*l)\/l)\/((l\/l**16)\/l*l*l**9*l) assuming l is positive.\nAnswer: l**(2212\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 s when three letters picked without replacement from {w: 2, b: 1, s: 3, z: 1, h: 1, y: 5}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1684 and 143\/228?\nAnswer: 95988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415*0.04.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 46?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - v**3 + v**3 + (9*v**2 + 5*v**2 - 5*v**2)*(11 + 4*v - 11) to the form o*v + u*v**2 + d + l*v**3 and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 12. Suppose -2*b = -2*x + 42, -q*x - 75 = -7*x - 5*b. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1321 - 6607\/5. Which is the nearest to 0? (a) 0.1 (b) -3.9 (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29711*s**4 - 926*s**3 - 1337*s**2 - 44545*s wrt s.\nAnswer: 713064*s - 5556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 27 - 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by -3 + -5 + 27 - -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:48 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 10*r - 5. Let k be d(5). Let g = 39\/2 - k. Let v = -5896.3 - -5896. Which is the closest to g? (a) -4 (b) v (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q - 5 = 0. Let i be q\/((-19)\/9 + 2). Calculate the greatest common divisor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = 3. Let d be (-52)\/(-16) + c\/8. Solve -d = y - 0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 + 0 - 249*s + 1.\nAnswer: -249*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*b + 13, -3*z = -6*z + b + 11. Suppose z*u + 5 = u. Let r(f) = f - 1. Calculate r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*c*d*o*u + 2*c*d*u - c + 2*d*o + 17*o*u + 37*u wrt d.\nAnswer: -21*c*o*u + 2*c*u + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2369 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 184989671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 42. Which is the closest to -2? (a) z (b) -0.2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -976 - -1375. Let x = 64 + u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6366757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -24. Let q be (-3)\/2 - (-44)\/r. Let v(j) = 2*j**2 + j - 2. Let k be v(-2). Solve q*i - k*z = -24, 5 + 16 = -4*i + 3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5976 or -0.3?\nAnswer: -5976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 2. Suppose 5*w - 14*g + 10*g = 15, 0 = w + 2*g + 11. Let s be (7\/2)\/((-2)\/4). Put s, q, w in ascending order.\nAnswer: s, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -554, -1477, -2748, -4355, -6286?\nAnswer: -8529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.28 less than -1762.61?\nAnswer: -1734.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(36)\/sqrt(2)*2 + -4)**2.\nAnswer: -108*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 5c4?\nAnswer: 5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -609*p*z**2 + 403*p - 2*z**2 + 2 wrt z?\nAnswer: -1218*p*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 + 3478640*s**2 + 292216344*s + 6136617312 = 0 for s.\nAnswer: -42, 1739404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Suppose 137 - 45 = 2*d. Suppose 48*f = d*f + 6. Solve f*g - 8*g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-780)\/(0 + 6))\/(-2) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3452.1 * 2800.7\nAnswer: -9668296.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4\/7, -2\/9, 2\/9, 9174?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -382?\nAnswer: -13752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6)*(-16)\/(-18)*9. Which is greater: q or 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 262, 261, 260, 259?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2691)\/18)\/(-23)*(-6)\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 336.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 23. Let s be l(12). What is the units digit of (-4 - 1)*(-5)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 + 3*u. Let r(z) = -z**2 + z. What is k(v) - 5*r(v)?\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 184.\nAnswer: 3\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93852540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196 + -195.9. Let z = -7 + 7.5. Which is the closest to u? (a) 3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -10 + 18 + 2 + 15.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(7 - 1704\/244) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4 - (185\/(-30) + 6 - -2). Let l be (-2*(-2)\/(-10))\/2. Which is the nearest to 1? (a) -0.5 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12376 and 4747288?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2 - -1) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5400*p**3 - 585*p**2 + 444*p - 36 = 0.\nAnswer: -3\/8, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7089252 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313324323 + 31?\nAnswer: -313324242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p**2. Let w(b) be the second derivative of 43*b**4\/6 + b - 1382. Give a(w(g)).\nAnswer: -125732*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92*0.05.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 33*s = -15*s - 693 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let v(c) = 3*c**2 + 4*c**2 - 2*c**2 - c**2. Calculate d(v(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1167393ng in tonnes?\nAnswer: 0.0000000000000001167393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*a**3 + 5 + 244*a**4 + 3*a**2 - 3*a**4 - 3*a**2 as h*a**3 + g + u*a**2 + c*a**4 + t*a and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 + 205*r**2 - 206*r - 2203. What is l(50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8579020 less than 9?\nAnswer: 8579029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*r**3 + 1239*r**3 + 724*r**3.\nAnswer: 1219*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3248 = 4*v - 549, 1805 = 2*s + 3*v. List the prime factors of s.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*b + 66 + 7*b - 7267*b - 66.\nAnswer: -6619*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + q + 0)*(129 + 281 + 79)*(-4 + 4 + 4) in the form p + g*q and give g.\nAnswer: 1956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23313 + 313320233?\nAnswer: 313230320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -589 - -595. Solve 0 = u*a + 5 - 23 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 1 + 4 + 8*c - 38*c.\nAnswer: -40*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 810*m - 39688. Let v be j(49). Let z be (-38)\/(-8) + (-2)\/(-8). Suppose -d - 2*d - 17 = -2*f, z*d = 5. Solve -8 = g - 2*w, 0*g - v*g = -w + f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30242 is divided by 30085?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 - 663 = 131*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -17 - -12 - (-2 + 4 + 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122*x**3 - 2*x**2 + 563.\nAnswer: 366*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a - 1070 - 1252 = 0. Calculate the highest common divisor of a and 2193.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/13, -4, -5\/4, -3\/35?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-1 + (-7705)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*c = 2*s - 47, 3*s - c = 52. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 11. Let l be a(-15). Let k(v) = v**2 - 2*v + 4. Calculate the smallest common multiple of 8 and k(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 4*n + 8*n + 2*n + 12*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49964724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and 2?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 171*b**3*n - 18*b**3 + 271*b - 7*n**4 - 9*n wrt n.\nAnswer: 171*b**3 - 28*n**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from ororoooll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -150*m**3 + 13*m**2 + 10*m + 5. Let r(a) = 75*a**3 - 6*a**2 - 4*a - 2. Determine -2*f(y) - 5*r(y).\nAnswer: -75*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + 0 - (5 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*h + 3. Solve 0 = -4*y + 3*x + h, 4*y + 3 = x - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10823 * -0.3.\nAnswer: 3246.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 14*i - 4. Let n be a(14). Let g(w) = -w**3. Let c(x) = -2*x**3. What is n*g(o) + 5*c(o)?\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 31\/5. What is the second biggest value in 0.4, l, -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 3594675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:21 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42539344097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(20\/(-53))*(-2)\/4 and 121\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 i when three letters picked without replacement from {w: 1, i: 3, r: 1, y: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/27?\nAnswer: -13\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 15981 = -b - 1602, -5*d - 5*b + 87965 = 0. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from lvlvvlllll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200 - -21221121?\nAnswer: 22001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2 - 40268*t + 40272 = 0. Calculate t.\nAnswer: -10068, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235.6 + -218.6. Put -5, -0.07, -2\/7, p in descending order.\nAnswer: p, -0.07, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/810*144\/12?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*x - 75*x + 157*x + 5*x**2 - x**2.\nAnswer: 4*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451 bigger than 5473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 276437*u**3 - 2*u - 276812*u**3 + u - 412 wrt u.\nAnswer: -1125*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y. Suppose x = -y*x. Sort -0.3, 1, x in descending order.\nAnswer: 1, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -45. Let d = -0.03781 + 0.07181. What is the biggest value in n, -1\/6, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3 = -3. Let v be s\/(-1 - -2) - -4. Suppose v*d - 2*u = 2485, 10*u = -2*d + 5*u + 1023. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8 = 2*s - 16, 0 = 4*l + 16. Suppose -5 = -s*u - 1. Find the second derivative of -2*f**3 - 2*f**3 + u*f + 3*f**3 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6649813 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9194 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192717643.\nAnswer: 71, 149, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57186648 divided by -28593324?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 4, c: 1}. What is prob of picking 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39*(-1 - (-4)\/3). Suppose -d*t = 44491224 + 40528776. Round t to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b*b*b**(9\/5)*b*b)\/(b**(-6))**(-26) assuming b is positive.\nAnswer: b**(-731\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 301*d**2 - 74*d**2 + 171*d**2 + (-d + 4 - 4)*(d - 3*d + 5*d).\nAnswer: 395*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)\/(3\/15). Let v = 4 - 1. Suppose 0 = -v*d + 2 + 10. Sort 2, h, d in decreasing order.\nAnswer: d, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-34)*112506\/(-63974)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116769 - 1523.72.\nAnswer: 115245.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12736577?\nAnswer: 7, 47, 38713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16085 from 0.038157.\nAnswer: -16084.961843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from xmxxmwmmmmmxxmmxxxxx.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*w + 19 + 5 = 0, 0 = 2*w - 2. Let h(v) be the first derivative of v**2 + 12 - v**3 + 0*v + 1\/4*v**i. Suppose h(f) = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*p + 85*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/22 + (1 + -1)\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -677, -728, -779, -830?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -91\/3. Let s(m) be the first derivative of -j*m**3 + m**2 - 1 + 2*m. Calculate s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73791215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1799\/(-5390)*8 + 12\/(-14) - 138\/506?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39188.3 kilometers to centimeters.\nAnswer: 3918830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4390)\/(-25) + 4\/10. Suppose -4*s = 4, 2*m - l - 11 = 5*s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1636*m + 22 = -1625*m. Solve 3*t - t - 2 = 0, -5*p - m*t + 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a0caa + -17c?\nAnswer: -4a1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330 - 103231313?\nAnswer: -103233303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15107722 - 3?\nAnswer: -15107725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 103 (b) -1.1 (c) -1972 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598121 divided by 7?\nAnswer: -228303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:33 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 2*o**7\/147 + 4*o**6\/35 + 2*o**5\/5 + 16*o**4\/21 + 6*o**3\/7 + 4*o**2\/7 + 2*o. What is x in z(x) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = 3*r - 4*v, -3*v = 2*r - 2. Put 5, r, -5 in descending order.\nAnswer: r, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9573312 and 1056.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.806, 647 in decreasing order.\nAnswer: 647, 0.806, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - 2 + 1 - 5*f + 4*f. Let i(v) = -v**3 + 7*v**2 - 10*v - 1. Let k be i(5). Let g be r(k). Solve -x = 4*x + g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.4 - 10. Let a = 1.3 + l. Put 1, a, -7 in decreasing order.\nAnswer: 1, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 1 (c) 2 (d) -1\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**3 - 4*k**2 - 3. Let u = 290 + -285. Let a be 47\/9 - (-6)\/(-27). Let j(p) = -p**2 - a - 2*p**2 + 11*p**3 - 3*p**2. Give u*j(z) - 8*m(z).\nAnswer: -z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1b0181ab?\nAnswer: 1b0181a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4565\/66 + 1\/(-6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - d)*(72 + 37 - 46186*d - 148 + 39).\nAnswer: -138558*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234 divided by -2?\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57391838633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (6 - (-14 + 14) - 9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {e: 3, c: 2, s: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-24)\/10. Let v(w) be the second derivative of w**3\/6 + w**2\/2 - 2980*w. What is v(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 - 128. Let h(v) = -26*v**3 + 2*v**2 + v. List the prime factors of h(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3043 >= -3046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s + 58. Let x be i(-7). What is the greatest common divisor of x and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2 + 6. Let j(a) be the first derivative of -a**3\/3 + 4*a**2 - 6*a - 2. Let u be j(7). Solve -u = r*z - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 29*r**2 + 4*r + 1. Let d = -79 + 78. Let y be m(d). Solve -2*b - 5*u - y = 0, 2*b - u = -0*b - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**4\/2 - o**3\/3 - o**2 + 4*o + 3. Calculate the remainder when k(3) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.0149.\nAnswer: 0.00447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1023888*a**2 - 2.\nAnswer: -1023888*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -17\/10591004?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 9. Let r(v) = -7*v - 1. Let b(k) = -6*k - 1. Let m(x) = y*r(x) - 6*b(x). Let z be m(0). Put z, -4, -1 in increasing order.\nAnswer: -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5910097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 12*z - 4. Let v be h(-13). Let x be (-264)\/(-21) + v\/21. What is the highest common factor of 117 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46861 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from {n: 2, e: 3, d: 3, s: 5}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 6*b + 3*b - 2*b**2. Let z(j) be the third derivative of -j**5\/12 - 3*j**2. What is z(p(f))?\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4913.5424 - 4909. Round n to two decimal places.\nAnswer: 4.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 336*a - 8393. What is w(-30)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 14 - 12 + 102*n**2 in the form d*n + b*n**2 + x and give b.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*h - 42, 4*f - 5*h + 10*h - 57 = 0. Suppose -7 = -f*g + 17. What is the greatest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c816 + -4?\nAnswer: -1c81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 - 2814 - 6*l + 3*l**2 + 28*l + 2815. Calculate b(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 1, d: 1, s: 2, m: 4}. What is prob of sequence rc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2301849338 to the nearest integer?\nAnswer: 47978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:50 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3242874701?\nAnswer: 11, 409, 503, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026563992 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(15\/12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*p - 17789 = 42*p + 31*p - 1682 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 58*s**2 - 4*s - 225. Determine r(-58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 160? (a) -3 (b) 626 (c) -5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 20. Suppose 106 = h*q - 5*p, 2*q + 2*p = 3*p + 56. Suppose 5*b = -q + 399. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*x - 17903460 = 49*x. List the prime factors of x.\nAnswer: 3, 5, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*r - 10*r + 138240 = 0. Suppose -4*v = 2590 + 822. Let b = v - r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/8 + 4\/1)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162.50117705 - 158.301177. Let u = g - 4.2. What is u rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 82*x**2 + x. Let n be z(-1). Let l be 2\/(-3) - 334890\/n. Let r = l - -4140. Find the common denominator of 12\/7 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(468))*1 + sqrt(468) + -2*(sqrt(468) + -1) - (3*(sqrt(468) + -1 + -1*sqrt(468)))**2)*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*f - f + 27042, -5*f + 4*u + 33801 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/190)\/(-4 - -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**24))\/(f*f\/(f**(-3\/4)\/f))*f**(15\/4)\/(f*f**(-4)) assuming f is positive.\nAnswer: f**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 44262.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.1 - 12. Let k = 0 + v. Which is the closest to k? (a) -1\/4 (b) -7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*l**3 + 0 + 0*l - 2\/3*l**5 + 2\/3*l**4 - 2\/3*l**2.\nAnswer: -2*l**2*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 - 8*v + 5. Suppose -33*y = -186 - 111. What is d(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-170))\/(2\/10*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbwtgtbbbbtgs. What is prob of sequence tp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 12. Calculate b(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532\/(-399)*6\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -86.8. Let d(p) = p**2 - 13. Let x be d(4). Put x, f, 16 in ascending order.\nAnswer: f, x, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 i when four letters picked without replacement from iibbciiijhjb?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/13, 0.\nAnswer: -1\/4, -1\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25212\/1528)\/(((-18)\/8 + 2)*6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 73, 114, 153, 190, 225, 258?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 2404.\nAnswer: -2, 2, 2404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 124 and -2.722?\nAnswer: 126.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 78, 46, -60, -264, -590, -1062, -1704?\n\"Answer: -4*y**3 - y**2 + 49*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 102 = 38*g. Solve -13*w + g = -14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 - 68 = 13*y - 177 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197 - 374 + 456)*(0 - 3 - s + 2) + (2*s + 3*s - 4*s)*(-3 + 1 + 1) + 3*s - s - 4*s.\nAnswer: -282*s - 279","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191*4.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27203*x**3 - 36*x**2 - 82 wrt x?\nAnswer: -163218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640387?\nAnswer: 7, 234341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5111, 5097, 5075, 5045, 5007, 4961, 4907?\n\"Answer: -4*y**2 - 2*y + 5117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a)**12*a\/(a*a\/(a\/(a\/(a\/a**3))*a))*(a*(a\/(a\/(a\/(a\/a**(5\/4)))))\/a)\/a assuming a is positive.\nAnswer: a**(-295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.8, 0.2, 5 in increasing order.\nAnswer: 0, 0.2, 1.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*1\/6)\/((-14)\/(-210)). Let w = -6.1 + 1.1. Which is the smallest value? (a) 1 (b) w (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g + g)*(744*g - 373*g - 593*g).\nAnswer: 444*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.39 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c - 80*c = a + 3, 5*a = 5. Let x(m) = -3*m + 3 + 0 + 2*m**2 - 2*m + 2*m**2. Let j(h) = 5*h**2 - 6*h + 4. What is c*x(f) - 3*j(f)?\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -o - 71. Suppose -r + o = -0*r + b, -4*r + 5*b = -13. Let a = 3 + -1. Solve -a*k - r = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:37 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)*2\/2. Suppose m = -2*l - 8, -2*l = -3*p - p - 8. Does 9 divide (36\/(-15))\/(p\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6446768503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1670635*s**2 - 5091099*s wrt s?\nAnswer: -3341270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1315 and 9.\nAnswer: 11835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1191 = 3*p, 0 = -3*u - 5*p + 67 + 638. Is 40 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166\/(-2)*3\/(-9)*3.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 1682*b**4 - 351110*b**3 - 1063442*b**2 - 1066816*b - 356168.\nAnswer: -2*(b - 422)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:54 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 + 35)*(-2)\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*f - 110*f - 72. Let a(q) = q**2 + 14*q - 91. Is a(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28258630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1293 and -71\/5610.\nAnswer: 2417910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16878 + 16949. What is the remainder when 2821\/14 - (-2)\/4 is divided by u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156402 - -104802. What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x**2 - 85*x + 526. Calculate t(6).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -80. Suppose 0*n + 3*x - 15 = -3*n, -5*x = -4*n + y. Solve 2*f + 16 = 2*j, n*f = 2*j + j - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185*s**2 - 15*s + 75*s**3 - 11*s + 26*s + 83*s**3 wrt s?\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6811649945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145213\/40 or 3631?\nAnswer: 145213\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 378, -16, -2, 1.\nAnswer: -16, -2, 1, 5, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = -2*c + 2*y, -5 = 5*c - 5*y. Factor p - 2*p**c - 2*p**3 - 2*p**2 + 2*p**3 + 3*p**3.\nAnswer: p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 21*p - 5. Suppose -7 = -x - 5*i + 11, -6 = -p*x - 4*i. Sort x, -4, -3.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.74 - 8749.26. Let q = h - -8801.96277. Let o = -0.037 - q. What is o rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93816 divided by 15636?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*k - k. Let i be ((-10)\/k)\/((-2)\/(-28)). Suppose 3*b - 4*f = -1, -6*f = 2*b - f - i. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3850*h**2 - 434 - 3852*h**2 + 5*h**3 - 698.\nAnswer: 5*h**3 - 2*h**2 - 1132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 19*w**2 - 16*w - 26. What is the remainder when 78 is divided by i(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 42 = 4*s - 10*s, 3*m - 5*s - 38 = -61 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - y**4 + 0*y**4 + (2*y + 2*y - 5*y)*(-4*y**3 + y**3 + 0*y**3) + 2*y**4 + 0 + 0.\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -1433, -2235, -3041?\nAnswer: -3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -145, -360, -655?\n\"Answer: -40*z**2 - 15*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -713280 > -7846068\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 52*w + 29. Let q(g) = -104*g - 58. Let b(c) = 4*q(c) + 9*t(c). Is b(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125411545, -125411544, -125411543, -125411542?\n\"Answer: x - 125411546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 2026?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11774052 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 541848 and 1943976.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*l, -5*i + l + 219 = 177. Sort 4, -5, 3, i in descending order.\nAnswer: i, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65754656 and 1681227?\nAnswer: 591791904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-168)\/35)\/(1\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 3*x**5\/5 - 493*x**4\/4 - 9*x**3 - 18*x**2 + 2*x + 5536. What is the third derivative of y(w) wrt w?\nAnswer: 72*w - 2958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4477 = -1336*r + 2491 - 1624 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**2 + 17*r**2 - 506*r - 38*r.\nAnswer: -r**2 - 544*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**4 - 3*g**3 + 2*g**2 - 192 wrt g?\nAnswer: 336*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s**3 + 150*s**2 + s + 0 - 1\/4*s**4. Let u(x) = x**2 - 2*x**2 + 2*x**2. Determine u(d(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13330, 13448, 13568, 13690, 13814, 13940, 14068?\n\"Answer: r**2 + 115*r + 13214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o*y**4 + 4*o*y**2 + 34*o*y - 3*y**6 - 4*y**4 wrt y.\nAnswer: 96*o*y - 360*y**3 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Suppose -2*r - 22 = -2*u, 3*u + 2*r - 39 = 7*r. Let i(q) = 2*q - 6. Let x be i(6). Let o = x - u. Calculate w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 13. Let s(m) be the third derivative of m**4\/12 - m**3\/6 + 4*m**2. Let q be s(-4). Is u(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 20 = -3*h, -78827*l + 20 = -78832*l - 2*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 38. Let v(w) be the first derivative of w**3\/3 - w + 19. Let x(n) = -n**2 + 3. What is a*v(c) + x(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -471.06519 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25382 and 707546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-135) + (119\/9)\/1. Suppose -k + 4*s - 3 = -c, 5*s + 10 = k. Calculate the remainder when 467 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 13*z + 33. Let o be n(3). Suppose 5*d = -10*k + 5*k + 190, 142 = o*k - 4*d. Calculate the remainder when 125 is divided by k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -578?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -1088\/9. Let t = -32551\/18 + 1809. Let h = t - g. Which is the second biggest value? (a) 0.4 (b) 3\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 34818 in descending order.\nAnswer: 34818, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 3:05 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -33*l - 10. Let q(x) = -22*x - 6. Determine -5*j(u) + 8*q(u).\nAnswer: -11*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let q(a) = 946*a + 2. Let r(l) = -q(l) + 3*z(l). Let f be r(-2). Let i be 3 + -7 + f\/4. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {l: 1, j: 1, w: 2, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5161 by -5.\nAnswer: 5161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 23*s + 14. Let i be a(-12). Let m = 6 + -4. What is the lowest common multiple of i\/(-2)*(19 - 26) and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17119 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3154, 12561, 28220, 50119, 78246, 112589, 153136, 199875?\nAnswer: 252794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 12*q**2 - 15*q - 6.\nAnswer: -3*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180427023.\nAnswer: 3, 7, 2863921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -145, -51, 39, 125, 207, 285, 359?\n\"Answer: -2*m**2 + 100*m - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6503.\nAnswer: 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 519 + -2?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/80319465 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c**3 + 2*c**2 + 2*c + 1. Let v be l(-1). Is 8066\/7 + v\/(-49) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**6 + 13472*j**4 + 2*j**3 + 132498*j**2?\nAnswer: -240*j**3 + 323328*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2 - 933824*i + 39949009 wrt i?\nAnswer: -4*i - 933824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011100001110 (base 2) to base 8.\nAnswer: 43416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**2 + 169*j + 585. Determine g(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*t - 107, -87 = d - 3*d + t. Let a be 23\/(d\/(-360))*-7450. Round a to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406140656 to the power of 1\/2, to the nearest integer?\nAnswer: 20153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c + 14272 - 14578 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1229927*m + 67. Let t(j) = 2*j. Give i(t(d)).\nAnswer: 2459854*d + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 27.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 434454 or 434415?\nAnswer: 434454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -901 + 906. Suppose -5*v - 3*l + 57 - 40 = 0, -v + 21 = k*l. Do v and -2\/667 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*n + 220, -3*z + 44 + 121 = -4*n. Let y = 10737 - 53958\/5. Let j = y + z. Put -1, -4, j in decreasing order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -55. Suppose -s + 23 = -o. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + 10 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 53*i**2\/2 + i + 5. Let s = 3 - 2. Let o be k(s). What is the highest common divisor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 28 - -17 - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2136 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -13122\nAnswer: 26244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 4:25 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -0.4, 163, 6, -0.1 in ascending order.\nAnswer: -0.4, -0.1, 1\/10, 6, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35985013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 239405000 to the nearest one million.\nAnswer: 239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:10 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 2*a - 2. Let b(m) = 2*m + 9. Let z be b(-6). Suppose 3*v + 3 = 0, 0 = -5*k + 2*k + 5*v + 20. Let q = k + z. Calculate t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14846 - 8502 + 29214 = 715*g - 44184 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-2292)\/120 + 19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/((-5)\/(-25)). Suppose 0 = s + n*i - 9 - 9, 0 = 4*s - i - 45. Let o = -93 + 94. Solve 5*f = q - o, -2*q - s = 7*f - 3*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24, -35, -0.153?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.69946 meters to centimeters.\nAnswer: 469.946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 0*y = -3*y + 3, -4*h + 4 = 4*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*u**3 + 69*u**3 + u - 108*u**3 + 38*u**2 to l*u**3 + c*u + b*u**2 + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 8 - ((5 - 6) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2560 and 16874320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220c4 (base 14) to base 4.\nAnswer: 110020330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68c7 + -27?\nAnswer: 68a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*c - 2*c + c - 3*c + c + 4*c + (-2*c + 7*c - 3*c)*(3 + 0 - 2))*(5 - 3 + 1) in the form s + y*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + sqrt(3) + 0 + sqrt(3) + -4.\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(104\/(-221))*-2099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d = -565491 - 817747 - 18170. Calculate the highest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 28. What is h(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -p. Suppose l + 2*l = p. Let f(k) = 114*k**3 - 1. Is f(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 111 + 600 = 0. Suppose -2*t - 697 = -6*t + i, 2*i = -t + r. Let v = -2943\/17 + t. Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 0*s + 4*s + (0*s - s + 2*s)*(-4 - 4 + 7) - 4 + 2*s + 4)*(-148*s + 148*s + 24*s**2) as x*s**3 + f + t*s + w*s**2 and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -12*b + 16. Calculate the remainder when 25 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 47*r**2 + 15*r - 16. Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 285*n**2 + 356*n + 6495. Calculate y(-96).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 528 = 7*g. Is 11 a factor of g*6\/4*(-299)\/(-78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22 + 0.3. Let a = -40.22 - -40. Let r = q - a. What is the closest to 1 in r, 5, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 5*m - 7*m + (4 + 1 - 6)*(21*m - 12*m + 7*m))*(-5*m**3 + 3*m**3 + 4*m**3).\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 435388017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/4 + 43*c**2\/4 + 59*c\/2 + 26.\nAnswer: (c + 2)*(c + 4)*(5*c + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0537 + -0.48612?\nAnswer: -0.43242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -155?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 147791410 divided by 29558282\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 802?\nAnswer: 802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -1\/20*j**5 - 31*j + j**3 - 5\/12*j**4 - 2 + 0*j**2. Let v = 4 - 10. Calculate m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*p - 7*a + 6, -19 = -5*p + 4*a. Suppose 2*h + 16 = 5*y, -p*h + 2*y = 2*h - 2. Solve -3*i + 1 + h = 3*j, 3*i = j + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -62 in ascending order.\nAnswer: -62, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccc. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 4*t + 231. Let r = 3 - 1. Suppose 5*u - r*u = 21. What is the greatest common divisor of t and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(3))*5)**2.\nAnswer: 100*sqrt(3) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*s**2 + 28*s**2 - 20*s - 13*s - 21*s.\nAnswer: -72*s**2 - 54*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17983887, -17983898, -17983929, -17983992, -17984099, -17984262, -17984493?\nAnswer: -17984804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 17. Let r be 2*6*8\/32. Put n, r, 2\/5 in increasing order.\nAnswer: n, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 84*p**2. Let c(f) = 8*f**2 - 42*f**2 + 293590*f - 293592*f. Give c(m(a)).\nAnswer: -239904*a**4 - 168*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-944)\/(-6) - (-6)\/(-18). Let t = x - 97. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4522289.\nAnswer: 17, 29, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -229\/4. Let x(l) = l + 8. Find the common denominator of b and x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5891*t - 18. Suppose -5*q + 12 = 7. Is m(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1384960 by -80.\nAnswer: 17312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5738 is divided by 185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1321 - -1322. Put 34, u, 0.1 in increasing order.\nAnswer: 0.1, u, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5957 + 5960 = 0. Suppose 1\/2*b**2 + 4 - g*b = 0. Calculate b.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.9 + 12. Let l = -1.1 + w. Let a = -5.087 - -0.087. What is the third smallest value in l, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 36. Suppose -2*y + s = -5*h, -y = 4*h - 6*h - 3. Sort -1, h, -2 in ascending order.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**2. Let q(k) = 8*k**2. Give q(h(z)).\nAnswer: 648*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 24*l + 168. Let y = l + 79. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662 is divided by 758?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.857 + 1.457. Which is the third biggest value? (a) w (b) 0.06 (c) -0.04 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14337.9 + -14338. What is the nearest to 2\/9 in -0.01, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*p = 3*p - 15, -3*a + 13 = -5*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313923.\nAnswer: 3, 269, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 4, y: 5, q: 1, r: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:36 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/3, -0.4, 14, -2.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-102)*2\/7*-5\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -3*t - 852. Let w = 138 - t. Put -2, -1, w, 6 in ascending order.\nAnswer: w, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkt. What is prob of sequence kkt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9332012 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -182 + 50 + 48 - 499*f + 37 + 49 in the form m + x*f and give x.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (12 - (-23 - -3)) + 0 + -98?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2114428, -2114421, -2114414?\nAnswer: -2114407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 + 10*m + 4. Let c(b) = 20*b**2 + 1. Determine s(c(g)).\nAnswer: -400*g**4 - 40*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/7 or -877201?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by -7\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*259\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, u: 7}. Give prob of sequence uup.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3675 divided by -3\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 23*o + 22. Calculate n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -5. Suppose -a - 7 = -4*h. Calculate the least common multiple of h and 50\/18 + (-6)\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-2100 - -2149)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 7635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45228 * -25.\nAnswer: -1130700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55596 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -128*g + 3342 + 2994. Calculate the smallest common multiple of 222 and g.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 62.92. Let x = 246941.9200008 + -246942. Let r = l + x. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 185710 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.01. Let x = -0.11 - -1.12. Let p = d + x. What is the biggest value in p, 4\/7, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91620000 to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4745545 or 4745531?\nAnswer: 4745545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 29798.\nAnswer: -1\/29798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26324.31kg in micrograms?\nAnswer: 26324310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttqtyqyqqttytdttyq.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1587*w + 826*w + 521*w - 767*w + 2 to the form r + d*w and give d.\nAnswer: 2167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4 + 4 - 5*h. Let j(l) = l. Let w(v) = -6*j(v) - x(v). Suppose 16*n = 49*n - 198. What is w(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27446163.\nAnswer: 3, 383, 23887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2425*y - 1279 - 15*y**2 + 1280 - 2426*y - y**3 to the form k*y**3 + v + w*y**2 + o*y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*d - 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + q = -19, 3*g + 0*q - 5*q + 1 = 0. Solve -2 = 2*d + g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-30))\/((-16)\/48)*25. Let p(t) = -85*t - 172. Let w(i) = -4*i - 1. Let k(d) = n*w(d) - p(d). What is the derivative of k(z) wrt z?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5.3 (b) -1.33 (c) 0.3 (d) 0.2 (e) -5\/4 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - (3 + -8)) + 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1456 and 19\/910?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 18.67.\nAnswer: -10.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -182, -452, -832, -1322?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)\/(g**(-3)*g))\/(g**(-4)\/(g\/g**(2\/7))))\/(((g**0*g)\/(g**(-6)\/g))\/(g**(-2)*g**(-3\/4))) assuming g is positive.\nAnswer: g**(-121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 343 + -342.9765. Let g = 0.0235 - m. Which is smaller: g or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-3) + -38 + 42.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 7*m**2 + 1. Let w be o(6). Let d be (-3)\/12 + (-302)\/8. Let y = w - d. Solve y - 6 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 16) in base 7?\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 2 + 0 + -1. Suppose r*d - 7 = 2*i, -4*i + 1 = -d - 0*i. Suppose 0 = -g + d*g - 54. Calculate the highest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from qukkqkc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2250541*d**2 - 3691888.\nAnswer: -4501082*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 4, 105 in descending order.\nAnswer: 105, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 205*s**3 + 1025*s**2 - 41*s - 214. What is z(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*(b\/b**(2\/9))\/b)\/b)*b*b\/b**(-18)*b*b*((b**(1\/27)*b*b)\/b)\/(b**(1\/11)\/b))**(-7\/2) assuming b is positive.\nAnswer: b**(-52325\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-1)*(-5)\/(-3). Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -t + 8*t. Calculate the greatest common factor of 174 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -x - 5*m, -4*m = -44*x + 39*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:54 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-4)\/(-14))\/(((-25)\/14)\/((-2545)\/(-1018)))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-20)*(-3465)\/462. What is the closest to -1 in -3, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 5*d**4\/12 - 215*d**3\/6 - 110*d**2 - d + 26. What is o in v(o) = 0?\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79107 + -12340567\/156. Calculate the common denominator of c and -59\/14.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 14*z**3 - 46 + 24 + 22.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.870472cm to nanometers.\nAnswer: 8704720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5062 is divided by 129?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001101001111111 (base 2) in base 10?\nAnswer: -105087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l + 396 = -2*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 + 0 = 0. Let f(u) = -10. Let d(z) = -z + 11. Let x(q) = 2*d(q) + 3*f(q). Let r be x(-8). Solve -4*i - 5*h = 17 + r, a*h = -15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4+6.8\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 14*u - 10*u + 18 = 0, 4*u + 32 = 0. Let l(h) be the first derivative of h - 39 - 2\/3*h**3 - c*h**2. Calculate l(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 13, w: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3573, -3578, -3579, -3570, -3545, -3498, -3423, -3314?\n\"Answer: s**3 - 4*s**2 - 3570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let i(x) = 4113742*x. Determine i(p(m)).\nAnswer: 4113742*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 6) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81843 - -0.07364430741.\nAnswer: 81843.07364430741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 183 + 292 = 0. Solve -11 = 3*j - 6*j - 4*m, 5*m + s = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 times -69571.1?\nAnswer: -10087809.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151133022 - 122?\nAnswer: 151132500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/97 - -6450\/679. Suppose -70 = -136*g + 129*g. Which is bigger: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhl when three letters picked without replacement from {l: 6, h: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 = -19. Let o(t) = -t - 1. Let z be o(x). Which is the second smallest value? (a) z (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (43 - 22) + 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285 - 468 - 1460 + 769*c with respect to c.\nAnswer: 769","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z - 73*z**3 + 14*z**3 + 16*z.\nAnswer: -59*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106.95 - -106.85. Are 2.662 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/5)\/u))**15)**(-8)\/((u**(-4\/9)*u**(-6))\/(u\/u**(2\/5))**38) assuming u is positive.\nAnswer: u**(-11644\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.5 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*i**2 + 2*i*r**3 - i*r*t - 2*r**3*t - 107*r**3 wrt i.\nAnswer: -74*i + 2*r**3 - r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1564 - -1578. What is the closest to o in -0.6, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11132991 to 3 dps.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 1\/1)*1. Let b be (-63)\/(-396)*(-4)\/(-14). What is the third biggest value in g, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:02 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*z + 896164 = -3313572. Does 92 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 10. Let n = 14 - c. Let y = 3.07 + n. Round y to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 42*p - 73837 = 0. What is p rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24487, -46508, -68531, -90556, -112583?\n\"Answer: -v**2 - 22018*v - 2468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.58352+-27026\nAnswer: -27026.58352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 3}. Give prob of sequence hcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*l + 220*l - 428*l to u*l + d and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 + 26. Let b = -110 - l. Let u be -1 - 2*1*-3. Solve w = -4*w + u*k - 45, 3*w + b = 5*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 1:48 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.92327638 and -0.342.\nAnswer: 14.58127638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*((-1 + 3 + 10)*(6*s - 2*s - 3*s) - 2 - 3*s + 2 - 2*s + 0*s + 0*s)*(5*s**4 + 6*s**4 - 6*s**4).\nAnswer: 70*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12734*y**2 - 7*y + 4006. Let k(t) = -t**2 + 7*t - 20. Let a(q) = c(q) + k(q). Differentiate a(d) wrt d.\nAnswer: 25466*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, k: 5}. Give prob of picking 4 k.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i + 10. Let l(g) = 14*g - 20. Let k(r) = -3*l(r) - 5*z(r). Determine k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let v be z(-2). Suppose -3*s + v + 2 = 0. Suppose s - 4 = -j. Calculate the least common multiple of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80184.\nAnswer: 2, 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -4.07457, 1, 2\/3, -3\/2, -1\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6574*l + 8450 wrt l?\nAnswer: 6574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 48*o**2 - 288*o + 512.\nAnswer: -2*(o - 16)*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 6*l**6\/5 + l**3\/3 + 119*l**2\/2 + 190*l. Differentiate g(n) wrt n.\nAnswer: 144*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-294)\/(-56) - ((-25)\/(-4) + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-h**2 + h**2 + 2*h**4) + 90*h**4 - 9*h**4 + 12*h**4 to y*h**3 + f*h**2 + p*h**4 + g + r*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -2.7. Let l = -2.9 + o. What is the second smallest value in l, 3, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -77. What is the hundreds digit of (-1 + c*1)\/((-71)\/7739)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + a + 410 = 6*l, -3*a + 830 = 4*l. Let d = l - 194. Solve 3*i + p = d, -3*p = 2*i - 7 - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*l = -60, l = i + 4*l + 35. Let b = 141\/7 + i. Let q = -2.473 - -0.473. Put 0.2, b, q in ascending order.\nAnswer: q, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 25*y - 2. Let x(u) = 4*u**2 + 2*u. Let j(p) = -13*p**2 - 7*p. Let l(n) = -2*j(n) - 7*x(n). Determine l(c(f)).\nAnswer: -1250*f**2 + 200*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1.8, 1, -1?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23674749419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -214268.5 rounded to the nearest 100?\nAnswer: -214300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 38883.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113\/((-17515)\/2914))\/((-4)\/10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108) + -4)**2 - (1 + -2 + sqrt(108))**2.\nAnswer: -60*sqrt(3) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, v: 2, z: 6}. What is prob of sequence zvvu?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4283418905 to the power of 1\/3, to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667 is divided by 128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9696.23 + -9583. What is d rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177.712 * 0.3\nAnswer: 53.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 282330606*y**2 - 360425857 with respect to y.\nAnswer: 564661212*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/12 + q**3\/3 + q + 1. Let p(f) be the first derivative of u(f). Find the second derivative of p(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*3\/12*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -25942*s**3 + 9*s**2 - 13*s + 5. Let c be d(10). Let l = -14841225 - c. What is l rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5600500 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9935 is divided by 146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231331300 (base 4) in base 10?\nAnswer: 188272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 2678760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xszppppxtssxpx. What is prob of sequence zpxp?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/21, -555, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1598 and 10.\nAnswer: 7990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 7, z: 6, y: 2, t: 3}. Give prob of picking 2 k.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.5109036231 + 606\nAnswer: 604.4890963769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/20 - 5*i**4\/12 + 13*i**3\/6 - 220*i**2. Let c(w) = 2*w**2 - 7*w + 9. Determine 5*b(p) - 7*c(p).\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87267707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43033667257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 3*b**3 - 3*b**3 - 1726*b**4 + 30050 - 30050 + (-2*b - 2*b + 2*b)*(-b**3 - 3*b**3 + 2*b**3) as t*b**3 + x + w*b + c*b**4 + u*b**2 and give c.\nAnswer: -1721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*r - 169*r - 121*r)*(0*r**2 - 2*r**2 - 2*r**2 + 6*r**2) as y*r**3 + o + s*r**2 + h*r and give y.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1270.53 - 1265. Let a = 0.53 - o. What is the nearest to 0.1 in -2\/3, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t. Let j(d) = d**3 + 8*d**2 - 8*d - 3. Let f be j(-3). Let l(u) = 23*u - f*u + 53*u. What is m(l(z))?\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 21*i**5\/8 - 16899693*i**4 + 54399933113097*i**3\/2 - 31085602947591*i**2\/4 - 217599732452409*i\/8 + 31085670546363\/4 = 0.\nAnswer: -1, 2\/7, 1, 3218989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 583*w + 1158*w - 130*w**3 - 576*w in the form z + x*w**2 + k*w + i*w**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 62*k - 4839. What is h(64)?\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2. Let o(f) = 1. Let z(y) = 2*o(y) + u(y). Let x(s) be the third derivative of -17*s**5\/60 - s**2. What is z(x(b))?\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 + -8. Round q to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11225 + 16720. Let k = w + 3098. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b**2 + b - 1. Let j(r) = -r**3 + 7*r**2 - 8*r - 12. Let g be j(5). Let h(z) = 4*z**2 + 2. Determine g*a(k) - h(k).\nAnswer: -2*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299*c**2 + 16 - 11 - 5 to the form i*c**2 + z*c + d and give i.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9460000 to the nearest 100000.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010655 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 4*r**3 + 6*r**3 + 5*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/29, -481\/2?\nAnswer: -481\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47042, 43632, 40222, 36812?\n\"Answer: -3410*v + 50452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96874417.\nAnswer: 1217, 79601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/5 - (-14)\/70. Suppose -102 = -5*i - v*g, 9 = 3*i + 5*g - 47. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/8)\/((-18744)\/(-2272))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 56. Let l(u) = -8*u + 177. Let v be l(m). What is the highest common factor of v and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -347354 and -347352 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*k**2 - c**2*k - 50*c**2 + 213*c - 2*k**2 - 89*k + 73 wrt c?\nAnswer: 4*c*k**2 - 2*c*k - 100*c + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 8, h: 2, c: 6}. Give prob of picking 1 h and 1 r.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350012 divided by 4.\nAnswer: 337503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 40765.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2535 + 2536. Which is the nearest to v? (a) 3 (b) 0.2 (c) 0.1 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 2. Let q(b) = 0 + 5 + 6*b - t + b**2 - 2*b**2. Calculate the smallest common multiple of q(4) and 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190 or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8757.00799925 - 8754.708. Let j = 2.3 - k. What is j rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/493 and -103\/13702.\nAnswer: 397358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**4*s**3)\/(s**(-1)*s**(1\/8))*((s\/(s*s**(-2\/13)))**(5\/8))**19 assuming s is positive.\nAnswer: s**(1217\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5313)\/105)\/(-11))\/((-7)\/(-70))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 10*m - 49. Calculate p(15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 4*q + 5*q)*(-3*q - q + 6*q) + q - q - 2*q**2 + 323*q - 323*q + 20*q**2 + (2*q + 4*q - 3*q)*(5*q - 3*q - 3*q) to x + v*q**2 + b*q and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2481 + -45. Suppose -a = 5*h - 4036, 3*a = 2*h + h - q. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230608820?\nAnswer: 2, 5, 13, 587, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q + 11. Let g be 1\/(-2)*-4 - 0. Let h = 5 - g. Let v(c) = 9 + h*c - 4 - 8*c. Give 4*t(w) - 9*v(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 493, 709, 733, 553, 157, -467?\n\"Answer: -2*g**3 - 84*g**2 + 482*g + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3490246431?\nAnswer: 3, 7, 7914391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-15.1\nAnswer: 4.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010100001011 - 1000000001?\nAnswer: -100010011100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**2\/2 + 4. Let x(t) = t. Calculate x(k(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -76. What is the remainder when w is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 82 = 4*o, 8*c - 5*o = 7*c + 44. Suppose 0 = -c*d + 44787 + 12855. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/9)*d**(2\/37)*((d*d**10*d)\/d)\/d**(-2\/17) assuming d is positive.\nAnswer: d**(67646\/5661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/13 + 43546*w**2\/13.\nAnswer: 2*w**2*(w + 21773)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 3, 5*w = 5*q - 15. Let n be 21\/((-3)\/(-1)) - w. Let z be (144\/(-14))\/(-3)*n. What is the greatest common divisor of z and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/33527 - 100573\/134108. Which is the closest to -2\/9? (a) -17 (b) i (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*(m**7*m)\/m*m)*m**(-13) assuming m is positive.\nAnswer: m**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2*z + 0)*(-72988 + 72988 + 332*z**2) - 4 + 4 + 3*z**3)*(0 + 0 - 2) as h + w*z**2 + q*z**3 + j*z and give q.\nAnswer: 1322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 + 45 = -4*k. Suppose w = 3*g - 23, -2*w + g - k = -0*w. Let u be (w + 2)*2\/(-6). Solve 2*b - 8 = 4*h, b - 13 = u*b + 3*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50*2\/(-2640))\/((-30)\/(-36))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*r + 14 = 0, 5*j - 3*r = -2*r - 49. Let x(q) = q**2 + 11*q + 1. Let h be x(j). Which is smaller: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g**2 + 3*g - 3. Let a(x) = 220*x**2 + 50*x - 50. Give 3*a(i) - 50*z(i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 46785964\nAnswer: -842147352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3\/13 (c) -201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 2.74. What is o rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/20 + ((-1488)\/80 - -17) + -2?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34017*f*x**2 - 2*f*x + 43*f - 1 wrt x.\nAnswer: 68034*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8112 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 14*w - 850 + 790. Let t(u) = 16*u - 31. Calculate t(w).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13125 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/5, 2\/7, 4, 3.\nAnswer: -2, 2\/7, 4\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1 + ((-96)\/10)\/(-3). Let v(d) be the first derivative of -y*d**5 + 0*d**3 + 3\/2*d**2 + 0*d**4 + 2 + 0*d. Find the second derivative of v(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o - 288 = 0. Let j be 138 - (-3 + 21\/(-14))\/(6\/(-4)). Let r = j - o. List the prime factors of r.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(85)*-3)\/(sqrt(240)\/sqrt(3)))**2 + 2.\nAnswer: 1409\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 48*d**2 - 551*d + 23. Give i(-29).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -543.08922.\nAnswer: -543.10922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2994 + 9241. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**4\/12 - x**3 + 5*x**2\/2 - 5*x. Suppose -m + 5*m = -4*l - 32, -m = -2*l - 10. What is b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26854, -107428, -241724, -429748, -671506, -967004?\nAnswer: -1316248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*m + 3*b, -m + 2*b = 4*m - 152. Suppose 0 = 5*g - 5*h + m, -h = -3*g - 7 - 5. What are the prime factors of (-3 - 3)\/(g\/20)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = -3*r + 432, -3*r - 5*z + 411 = 0. Suppose 0 = -3*t + 86 + r. What is the smallest common multiple of t and 28?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d - 7. Let v(h) = -17*h - 18. What is 3*v(y) - 7*z(y)?\nAnswer: 5*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*q = -3*q - 5, -2 = 4*x + 2*q. Solve 6\/5*r**2 + 0 + 2\/5*r**3 + x*r = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1843 - 322527\/175. Let a = g - -881\/525. Let r = 311\/78 + -23\/6. What is the second smallest value in 4, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 275 + -257. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4 - 6. Let j(m) = 5*m**2 - 4*m**2 - 8*m**s + m**2. Let z(a) = 2*a**2. Calculate z(j(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -37 - 2 - 1) + 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 45*p**3 + 10*p**2 - 6*p + 7 - 24*p**3 - 22*p**3. Does 34 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1332866.\nAnswer: 9330062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17723 - 15011368\/847. Calculate the common denominator of f and -3\/308.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (0 - -2)) + -1. Is ((-30)\/25)\/(c\/1070) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1906*h + 1901*h + 3*d = -5*d - 112, -h + d + 14 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 189*w**2 - 3499*w - 632. Determine x(206).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*i**(-5) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/15 and -11\/3892.\nAnswer: 58380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2. Let j(x) be the third derivative of -x**2 + 0*x**3 + 0 - 1\/12*x**4 + 0*x. What is b(j(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/17 + 468*x**2\/17 + 34338*x\/17 + 752720\/17 = 0. What is x?\nAnswer: -97, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1 = 3*y, x + 0*x = 4*y - 9. What is the smallest value in 1\/8, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w - 1. Let q = 58161 + -58134. Put 5, q, 4, w in descending order.\nAnswer: q, 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + f - 2*f + 16 = 0, 0 = 2*l - 4*f - 6. Suppose -l*m + 9180 = -5*m. Round m to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472*h - 851*h + 6419*h - 68111 + 483471 = 0 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-16)*4*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 115 = 90. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1202 (base 3) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*v - 50 = v, 125 = 5*i + v. Let p be ((-12)\/(-10))\/(5\/i). Let o(d) = d**2 + d - 3. Let z be o(3). What is the highest common divisor of p and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145967 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68977 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10475, -20956, -31453, -41972, -52519, -63100, -73721, -84388?\n\"Answer: -x**3 - 2*x**2 - 10468*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/5 (b) 1\/3 (c) -437 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7261566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (62\/(-527)*-17)\/3. What is k in 92\/3*k**4 + 68\/3*k**2 - 115\/3*k**3 - 28\/3*k**5 - 19\/3*k + i = 0?\nAnswer: 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 383 - 383 + 0*p. Let c(t) = 362*t. Calculate c(w(l)).\nAnswer: 362*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6424808ml?\nAnswer: 0.0006424808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/5))\/c*c*c\/(c*c\/c**(-1))*c)\/(c*c**0*c)**(-35)*(c**4*c**1\/c)\/(((c**(-6)*c)\/c*c*c)\/c*(c*c**3)\/c) assuming c is positive.\nAnswer: c**(379\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*sqrt(76))*1*-2*1 + 5)**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.4 - -8. Let k = c + -0.1. Put 1\/4, k, 4 in ascending order.\nAnswer: 1\/4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 15*r - 19. Is q(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**3 + 2*l**2 - 2*l - 5. Let v(j) = 31*j**3 + 11*j**2 - 11*j - 24. Determine -11*n(t) + 2*v(t).\nAnswer: -4*t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 14231000 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 4\/7, 0.049, -1\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**3 + 13*l**2 - 2*l - 18. Let x(f) = -16*f**3 - 19*f**2 + 2*f + 27. Let n(p) = 7*r(p) + 5*x(p). What is the units digit of n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 2 + (sqrt(272) - (sqrt(272) - (sqrt(272) - ((sqrt(272)*2)**2 + sqrt(272))) - sqrt(272))).\nAnswer: -1086 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 9*w**2 + 14*w + 13. Let v be f(-5). Let i = 262 - v. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((-12 + 6 - 3)*(2*o - 2*o - o) + 0*o - o + 3*o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1.9, -99, 1 in descending order.\nAnswer: 1, 0.2, -1.9, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*s**2 + 9*s**3 + 2 - 148*s**2 in the form k*s + t*s**2 + x*s**3 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 102a884 - 0?\nAnswer: 102a884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59810285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 5 - r + 0 - 269 - 247.\nAnswer: 8*r**2 - r - 521","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 20. Calculate the common denominator of -38\/5 and (14\/s)\/(6\/(-72)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -30266.630496.\nAnswer: -30267.130496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i - 1\/2*i**2 - 1. Let a(p) = -p - p - 3*p + 3*p. Determine x(a(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10179 (base 12) in base 13?\nAnswer: -9714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.35 rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - m + 434536 - 434513, -3*n - 3*m + 6 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -623*u**3 + 731*u**3 - 583*u**3 + (u - u - u**2)*(-3*u + 0*u + 4*u) - u**3 - 6*u**3 + 4*u**3.\nAnswer: -479*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 - 2*p + 120. Does 10 divide m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/120 - 7*h**5\/60 - 7*h**4\/24 - h**3\/2 - 2*h**2. Let y be n(-6). Solve -2 = -y*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12309936 is divided by 756.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d (base 15) in base 6?\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 654 = -126. Let f(i) = i**2 + 2*i + 3. Let q be f(-2). What is the highest common divisor of q and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67658995 to the power of 1\/2, to the nearest integer?\nAnswer: 8226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3334384 is divided by 3909.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -509485.\nAnswer: 29\/101897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3)*18\/(-225).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 100. What is the remainder when 44 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 20*l - 101. Let z be o(-24). Which is the nearest to 8\/3? (a) 1\/5 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6911, -27673, -62277, -110723, -173011, -249141?\nAnswer: -339113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k. Let c(p) = 42*p**2 + 7*p - 228. Calculate c(o(q)).\nAnswer: 168*q**2 - 14*q - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(448) + sqrt(448) + 1 + sqrt(343)*-4 + sqrt(343) + sqrt(252) + 2)**2.\nAnswer: 16*sqrt(7) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1319 + -10?\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 20*u**2 + 33*u**2)*(4 - 2 + 0).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5*i**3\/3 + 40*i**2 - 48*i. What is the hundreds digit of w(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 11:21 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7111 + 8729 = 16*a. Suppose -33*k + a = -28*k. What is the remainder when k is divided by 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.448559 rounded to two decimal places?\nAnswer: -4.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 2*a**2 + 4*a + 3. Let b be i(-2). Suppose -471 = 5*p - b*w, 0 = -w + 3*w + 6. Let m = 168 + p. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 23380*s - 70176.\nAnswer: 4*(s - 3)*(s + 5848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/5, 9, 707, 1.4, 0.99?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {r: 3, h: 1, s: 1, u: 1, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 295 - 295 - 11*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21836 (base 9) to base 14\nAnswer: -5420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 - 2184*s - 2184. What is m(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*d + 722*d - 30 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10741 and 198008?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1025412312 by -585281.\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/50 and 133\/12000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 + 18325*r - 402666 = 0. What is r?\nAnswer: 22, 18303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 71 = -m, -3*q + 75 - 178 = -2*m. Suppose 3*x + 8 = -p, 3*x = -3*p - x + 1. Suppose 9 = p*u + 44. What is the third smallest value in q, 5, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 4. Let l(q) be the first derivative of q**3\/3 + 2*q**2 - 9*q + 6. Let a be l(-6). Let r be (-2)\/2 - 6\/a. Determine d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -x + 16, 5*x - 3*b - 2*b = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543 divided by 4.\nAnswer: -543\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/3))**(-1\/10))**(-9\/5)*d\/(d\/d**(-6))*d**4*(d\/d**(-2))\/d**(-1) assuming d is positive.\nAnswer: d**(56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*d + 15*d - 24*d - 1 - 3*d in the form t + g*d and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*o + (-2 + 2 - 2*o)*(-40 + 56 - 47))*(6*o + 2*o - 6*o).\nAnswer: 130*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 5*r**4 - 5*r**4 + (-2*r + 2*r - r)*(2*r**3 - 2*r**3 - r**3) - 12*r**4 - 14*r + 14*r.\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + n. Let r be g(2). Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-18)*(-18)\/(-3). Let q = p - 11. Suppose q*d - 2059988 = 2*l, 4*l - l - 2*d = -3089992. What is l rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*p - 5*j = 173*p + 20, p + 9 = -2*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - c + 4 + 6. What is the units digit of l(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73995, -73856, -73717, -73578, -73439?\nAnswer: -73300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:43 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y**4 + 0*y**3 + 0*y - 17\/35*y**7 + 0 + 0*y**6 + 79\/30*y**5 - 148*y**2. Find the third derivative of a(g) wrt g.\nAnswer: -2448*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30151 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4500*-11.\nAnswer: -49500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 1 = -31*g - 0, 29*a - 4*g - 46 = 22*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1119\/173 in 5, -0.15, -9, -0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586848.\nAnswer: 2, 3, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -61396, 0, -7, 2 in increasing order.\nAnswer: -61396, -7, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 110 = 3*j, -5*j - 595 + 520 = -4*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116*q**3 + 81*q**3 + q**3 + 2*q)*(-q - 2*q - 7*q) to x*q**4 + o + f*q + j*q**3 + d*q**2 and give x.\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506005807?\nAnswer: 47, 10766081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2248*b - 100 = 5*q - 2243*b, 0 = q + 5*b + 92 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 990400*f - 49044608000.\nAnswer: -5*(f + 99040)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 6*x - 13*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(-3*sqrt(252) + sqrt(252)) - (sqrt(252) - -3*sqrt(252))*1) + (4*sqrt(252)*1*-1)**2*-1.\nAnswer: -4035 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, 4 in increasing order.\nAnswer: -2, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:32 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/((-81)\/6))\/(4\/66). Let n(f) = 2*f**2 - 5*f + 57. Is n(m) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 - 107a7?\nAnswer: -1075c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - 0 - (-3 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.16, 1, 6, -2\/7 in descending order.\nAnswer: 6, 1, -0.16, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*3*16\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 210*t - 391. Let d(a) = -210*a + 391. Let f(x) = 2*d(x) + 3*m(x). Differentiate f(p) with respect to p.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58 + 791?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 720\/330 - (-4)\/(-2). Which is the fourth smallest value? (a) 0.2 (b) l (c) -17 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -34*t + 8. Let p(g) = -23*g + 9. Let d(b) = 3*p(b) - 2*s(b). Determine d(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - -17. Let h be 0 + s\/22 - 1. Suppose -33*b = 8*b. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7*z + 80 = 0. Let h = 58\/3 + z. Is 2 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/3*(-11)\/((-1188)\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.314404 nanoseconds?\nAnswer: 0.000000004314404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 0.1 (c) 0 (d) -8 (e) -2 (f) -3682 (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 - 314\/(-4). Let x = -25 + r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5\/5 - 132892*j**4\/5 - 1462516*j**3\/5 + 7311772*j**2\/5 - 9704448*j\/5 + 797616 = 0.\nAnswer: -15, 1, 2, 33234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + 83. Let i = q + -139. Solve f - i*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/90 and 103\/37600?\nAnswer: 338400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-11)*309100\/(-19670)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -10854.\nAnswer: 37\/5427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 575655472 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4980688\/3 < -1660228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 1, 3, -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*(-1)\/(-4) - -4. Sort -2, -1\/3, -4, z.\nAnswer: -4, -2, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3871, -7977, -12085, -16201, -20331, -24481?\nAnswer: -28657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-14))\/(4\/14). Solve 2*q - 11 = -0*x - 5*x, m*q + 16 = 4*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 7) in base 11?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5 - 2 = y, -2*y = 3*c + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*i = -22, 2*p + 2*i = -0*i + 16. Let j = -52 + 47. Let f = -82 + 80. Which is the smallest value? (a) j (b) f (c) p (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 13, 5 in decreasing order.\nAnswer: 13, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 11*g - 17. What is m(9)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6)*(5 + -3). Solve -4*o + 3 + 5 = w*h, 2*h - 6 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -16. Let n(f) = -f**2 + 14*f + 2. List the prime factors of n(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*u - 2)*(0 + 3 - 4)*(u + 3 - 5 + 0*u) - 4790 + 4790 + 599*u**2 + (5*u - 3*u + 0*u)*(0*u + 2*u - 3*u) to the form s + y*u**2 + r*u and give y.\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9624487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 223259983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.319979 centuries in months?\nAnswer: 11183.9748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -35*l**2 + 8*l - 5. Let o(f) = f**2 + f - 1. Let v(q) = 6*o(q) - u(q). Let j be v(2). Let b = j - 106. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5085036 and 3276.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/56 and 93\/178160.\nAnswer: 1247120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332556.\nAnswer: 2, 3, 7, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10193981, -10193982, -10193979, -10193972, -10193961, -10193946, -10193927?\nAnswer: -10193904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 384.46 minus 2015781901?\nAnswer: -2015781516.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -594.2229156 rounded to zero decimal places?\nAnswer: -594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33902 divided by 5.\nAnswer: -33902\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -4*f. Let z(v) = f*v**2 + 4*v**2 + 9 - 8. What are the prime factors of z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -43, -184, -453, -892, -1543, -2448, -3649?\nAnswer: -5188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -8. Let d = -3 + x. Sort 5, d, 3 in decreasing order.\nAnswer: 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 2*h**3\/3 + 31*h**2\/2 - 20*h. Let a be j(-5). Calculate the highest common factor of 55 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63789796 is divided by 12757957.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) - sqrt(768)*2*6) + (sqrt(768)*-2 - sqrt(768) - sqrt(768))*5)\/((sqrt(96)\/(sqrt(18)\/sqrt(3)))\/(sqrt(48)\/(sqrt(36)\/sqrt(3)))).\nAnswer: -248*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + (-39)\/(-65). Solve 2*a + 11 = 4*z - w, 5*z - 15 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71442446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*k - 5*r + 4, 0 = -3*k + r - 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*o = h - 40, -2*h + 28 = o. Suppose 4*g = -0 + h. Suppose 0 = g*n + n - 8. Solve -4*f = 5*l + 4, -2*l - 6 = n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/13 + 2*z**4\/13 - 28*z**3\/13 + 4*z**2 - 38*z\/13 + 10\/13.\nAnswer: 2*(z - 1)**4*(z + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 131789, 263556, 395323, 527090, 658857?\n\"Answer: 131767*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 11. Let j be c(11). Let h(u) be the first derivative of 1\/14*u**4 - 2\/35*u**5 + j*u - 1\/7*u**2 + 2 + 2\/21*u**3. Suppose h(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.127, 0, 0.5, -2\/19, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10230 and 990.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243 - -245. Sort -8, -1, r.\nAnswer: -8, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1242 and 1069983.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42079653 is divided by 576433?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpvg when four letters picked without replacement from ppgpgppggvp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55836, 55845, 55854?\nAnswer: 55863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - 66) + -17 + 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2\/3 - 5930*m\/3 - 1976 = 0.\nAnswer: -2964, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*v - 3*k - 13, -5*v = 2*k. Let f(u) = 5*u**2 + 3*u - 6. Let j be f(v). What is the greatest common divisor of 460 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/101? (a) 0 (b) -0.1 (c) 0.3 (d) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29368183 to the nearest integer?\nAnswer: 5419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/3 + 0 + 2. Let d = h + 3. Which is the closest to 0? (a) 0.5 (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*c - 33*c = -28*c - 4389. Solve -38*w = -55 - c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 55 (b) 8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*p*q + 9552812*p - 326811340*q wrt p.\nAnswer: -11*q + 9552812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120725.\nAnswer: 5, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*2\/(-4) - 1. Differentiate -1 - q + 3 - 5*x wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 652414 and 56.\nAnswer: 2609656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/22489 and -26\/129.\nAnswer: 67467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43491229 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334 - 82 = 36*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:12 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**5\/60 - 7*s**4\/24 + s**3\/2 - 86*s**2 - 85*s + 2. Let o(l) be the first derivative of t(l). Determine o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -4)\/(2\/(-4))*-1. Let p be (-4 - -1)*6\/(-4). Factor -1\/2*s**w + 3*s - p.\nAnswer: -(s - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r + 16 = 0. Calculate the remainder when 33 is divided by (r - (1 + -3)) + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 14. Let h be t(-6). Solve -h*j + 7 = 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49148694, 98297386, 147446078, 196594770, 245743462, 294892154?\nAnswer: 344040846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + 299353\nAnswer: 299352.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141356210.\nAnswer: 2, 5, 3319, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 5:19 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 9:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47870.18l in millilitres?\nAnswer: 47870180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.1, 0.5, 3\/7, 2\/9, 1, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(65) - 4*sqrt(65)*2 - sqrt(65)) + (sqrt(65) + (sqrt(65)*-1 - sqrt(65)))*-3)\/(1*(sqrt(5) - (-2*sqrt(25))\/sqrt(5))))**2.\nAnswer: -325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 19*i**3 + i**2 + 2*i + 1. Let k be f(-1). Let b = 33 - k. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -46*c - 14. Let a be p(-11). Suppose 0 = q + 3*q - a. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*n + 100, -n = -5*o - 46 - 10. What is the highest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j\/((j*j**(-4\/11)*j)\/j*j))\/(j**(2\/3)*j)**(-11\/5) assuming j is positive.\nAnswer: j**(397\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -565, -1304, -2725, -5056, -8525, -13360?\nAnswer: -19789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12*a**(-1\/2)*a)**8 assuming a is positive.\nAnswer: a**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(((-2*sqrt(133) + sqrt(133))\/sqrt(7) - ((sqrt(19) - sqrt(57)\/sqrt(3)) + -3)) + -3))**2 + -5.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*g - 19 = 0, t - 3*g = 7 + 19. Suppose t*v - 6 = 8*v. What is the lowest common multiple of 11 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - z + 971 = 291, 5*z - 25 = 0. What is the highest common factor of 50 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212202 - -111?\nAnswer: 212313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101067198 and 42.\nAnswer: 707470386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 14 = 6*i. Let h(k) = k**2 + 10*k - 9. Let x be h(i). Is 13 a factor of (-1402)\/(-9) + (-4)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s**2 + s**2)*(4*s + 5*s + 6*s) + 20*s + s**3 - 150*s**2 + 151*s**2 - 36*s.\nAnswer: 16*s**3 + s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -651 (base 11) to base 10\nAnswer: -782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42655*s**2 + 42655*s**2 - 43078119*s + 43078119*s - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -837, -1279?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 + 61*z + 28. Is 44 a factor of f(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 24. Let h = 33.973 - i. Round h to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 4. Let j(y) = y**2 - 5*y. Let s be j(5). Let z be x(s). Let m = 3.127 + -4.127. What is the second smallest value in z, 8, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - 18 = -5*u, 0 = 3*u - 4*w - 16. Sort 192, 5, u in decreasing order.\nAnswer: 192, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17573120.\nAnswer: 2, 5, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1926)\/4173)\/(4\/13).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 - 2*v - 3. Let d be (3\/(-4))\/(1\/4). Let t be p(d). Let k = -0.03 + -0.07. Which is the second smallest value? (a) k (b) t (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310 a factor of 164871360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Let n = -11.2 + 1.1. Let y = n - -10. Which is the second smallest value? (a) l (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**3 - m**2 + 1. Let g be w(-1). Let f(q) = -q**3 + 7*q**2 + 11*q - 16. What is the units digit of f(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:56 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 93057 = 3*a, -6*i + 10*i = -a + 31027. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(500) + 0.\nAnswer: 3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 23. Give o(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + l - 300, -3*o - 261 = 3*l - 705. Suppose -5*y = -27 - 68. Calculate the highest common factor of o and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*s = 473, -9 = -4*p - 4*s + 347. Suppose 1665 = 6*o - p. List the prime factors of o.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109983*l**2 - 219976*l**2 + 110003*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 + -9 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 + 67979596*h - 1155306368080804 = 0 for h.\nAnswer: 33989798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 + 6 + 5 + 109436*r + 10 - 80)*(-2 + 2 + r) as d*r + v + x*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 338 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -126, -177, -244?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1221210201120 (base 3) to base 16\nAnswer: fdbf9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768306 by 6.\nAnswer: -128051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -58.1. Let p = -3 + 2. What is the closest to p in -5, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 26*f + 197. What is l(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 9*n + 6. Let j be x(10). Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*l - 538 = d, -5*d - 2*l = -1345. Let i be ((-2744)\/170)\/(5 + (-2223)\/450). Let t = i + d. Is t >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2126 and -0.69?\nAnswer: 2125.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4899 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6344\/21 - -302. Let i be 8 + (-232)\/72 + -5. Which is the nearest to i? (a) -0.4 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*m - 969*m - 36 = 6*q + 84, 64*m + 88 = 68*m - 4*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 229454.3 rounded to the nearest one thousand?\nAnswer: 229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3895, -177, 3 in descending order.\nAnswer: 3, 0, -177, -3895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365 + -349. Solve 31 = 3*f + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 0.1.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/239 < 1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45167 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*m + 165*m - 3*b + 7 = 0, 5*m + 3*b = -17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 995804.68 - -630763?\nAnswer: 1626567.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 318845 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 597294 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - 5*u + 3. Suppose 6 = 2*z - z. Suppose 8 = 4*r + 4*d, 2*r - 16 = 4*d - z. Calculate the remainder when 16 is divided by f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.5, 6, -4, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.6578 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3, -4, -9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:07 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*-1 - (sqrt(637) + -3).\nAnswer: -15*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4 = 4. Let h = -15 + 5. Sort h, v, -3, -1 in ascending order.\nAnswer: h, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224343243 (base 5) in base 14?\nAnswer: -1c4ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1694, -3382, -5070?\n\"Answer: -1688*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73146 + -17?\nAnswer: 73128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010110100 + 10000101011?\nAnswer: -100001010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -870 - -469. Let m = -184 - c. Calculate the remainder when m is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -242*t - 31 - 414 - 1249 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 8*g + 41 = -3*q + g, 0 = -g - 4 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/(m**(2\/13)*m*m))\/m)*(m\/(m*(m\/(m*m**(-3)*m))\/m))\/m)**(-1\/2)\/(((m*m\/m**(-5))\/(m**8\/m))\/(m*m**(-2)*m)**(-24)) assuming m is positive.\nAnswer: m**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-369)\/495 + ((-2068)\/(-242) - 8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/2134 + (-186)\/(-2046)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 9528 = 22*u. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1697943 and 47\/130611.\nAnswer: 1697943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 7, o: 10, w: 1}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 332, 3, 5, 0, -5 in ascending order.\nAnswer: -5, 0, 3, 5, 332","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 38957.652ms in hours?\nAnswer: 0.01082157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0225 * 75935\nAnswer: -1708.5375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b - 4*o = -52*b - 13, 5*o - 10 = 0. Suppose 11*p - 6*p = 0. Let h(w) = -3*w + 2*w + 6*w**2 - b - 1 + p*w**2. What is h(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**4 - 29 + 5*l**4 - 3*l**2 - 23*l**3 + 2*l**2 + 2*l + 25*l**3 + l**4 in the form b*l**3 + c*l**2 + i*l**4 + s*l + y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 915132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3904 and 8784.\nAnswer: 35136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2. Let q(w) = 1614591*w. What is q(j(f))?\nAnswer: 6458364*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 3*t - 2. Let p be d(-3). Is -5 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, o: 6, z: 1}. Give prob of sequence zoo.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 158, 0.11289?\nAnswer: 0.11289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -906 divided by -2.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 3*c**5\/160 - c**4\/32 - c**3\/8 - 21*c. Solve w(q) = 0 for q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 592845.2 millennia?\nAnswer: 592845200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3)*b*b)\/(b**(-4)*b))\/(((b*b*b*b\/(b*b**(-2))*b*b)\/b)\/b)**(-23\/2))**1 assuming b is positive.\nAnswer: b**(119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 2*x - 52. Let i be l(-5). Solve -5*d - 5 = 0, -12*d + 6 = -5*a - i*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 4125\/120 - (-3)\/6?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**3 - 38535*x**2 + x + 4698?\nAnswer: 6*x**2 - 77070*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -96\/149 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z + 1738 = -15*z + 88. What is the highest common factor of z and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -3*x + 0*x**2 + 2\/15*x**6 + 0 + 5\/12*x**4 + 0*x**5 + 0*x**3. What is the third derivative of v(n) wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d**2 - 17*d**2 + 4*d**2 + 10)*(0 + 2 + 0).\nAnswer: -6*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-26\/7))\/(x\/((x*x**(-1\/29))\/x*x))*x*x**(-42)*x*x**(-1\/38) assuming x is positive.\nAnswer: x**(-272663\/7714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**17)\/m**(1\/11))\/(m**(4\/5)*m**(1\/10)\/m) assuming m is positive.\nAnswer: m**(2091\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c - 7. Let t = -409 + 406. Let s(h) = 35*h + 20. Let j(b) = t*s(b) - 8*a(b). Calculate j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2) + (-1)\/2. Let g(l) be the second derivative of f*l + 0 - 1\/2*l**2 + l**3. Determine g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*x = -3*n - 50, -3*x + 9 = -n. Let f = -20 - n. What is the third smallest value in 2, -1\/4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6560 is divided by 816.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262996 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 1025*t - 37109. Determine j(-35).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37 + 30?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*b**5 - 276*b**4 + 9*b**2 + 419*b - 318 wrt b?\nAnswer: -700*b**3 - 3312*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 20. Suppose -4*t + 165 = -67. Let q = t - 38. Calculate the remainder when j is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54940 to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r - 21*r - 2*r + 84*r.\nAnswer: 174*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 - -12*380\/40 and ((-60)\/21)\/(6\/(-21)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 3.2.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 8, y: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1) + 0 + 2. Let a = 0.8 - -2.2. What is the second biggest value in -1\/6, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11730388 is divided by 690022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*y - 444*y + 429*y - 611 = 7045 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Let f = 0.375 + -0.675. Put -2\/7, f, -0.2, z in descending order.\nAnswer: z, -0.2, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*x - x - 37, 2*s - 3*x - 21 = 0. Suppose -3*l = s*y - 51, -3*y + 4*l + 28 = y. Let o = y - -3. 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 152 minutes before 3:45 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 857*j - 49476. What is a(59)?\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 33424*c**3 - 12*c**2 + 17*c**2.\nAnswer: -33424*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.1. Let y = 95.8 - 96. What is the nearest to 1 in d, y, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*1*6\/(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**6\/120 + n**5\/15 - n**4\/4 - n**3\/2 + 71*n**2. Let i be d(-5). Solve 3*w + 5 = -i*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/164027 and -125\/917814.\nAnswer: 81685446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 194005 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 11\/2*t**2 + 48 + 0*t. Let a(r) = r**2. Give a(f(w)).\nAnswer: 121*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.789 - -19.889. Which is the third biggest value? (a) 224.8 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1002780 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*s + 4*d - 8, -d - 4 = 0. Let z be 0\/s + 1 + 1. Determine i, given that -i + i - z + i**2 + i = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 30 = -7. Suppose -4*s = -2*s - 4*q - 2, -3*s = q + 32. Let t = c + s. Calculate the greatest common factor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6655524 to 2 decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 37. Suppose a*h = 5*h + 15. Calculate the remainder when (-8)\/(-4) + h + 31 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 1026272*h**2 + 9.\nAnswer: 1026272*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 69 = -2*i - 9, 3*i = -3*f + 60. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 27*n**2 - 175*n - 10. Give u(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129007937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1872*o - 2107*o + 3368*o.\nAnswer: -611*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, n: 5}. Give prob of sequence ssnn.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(2485\/415 - 6). Let f = s - -239. Calculate the remainder when f is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 2*s**2 + s**2 - s**2)*(2*s + 4*s + s).\nAnswer: -7*s**4 - 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1124715 by 224943.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u**2. Let r(p) = 5*p**2 + 4*p - 4. Let k(s) = -19*s**2 + 35*s + 22*s**2 + 13*s**2 - 35 + 29*s**2. Let b(a) = -4*k(a) + 35*r(a). What is b(t(x))?\nAnswer: -1280*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*p. Sort 4, -2, p in descending order.\nAnswer: 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -19. Let i = -0.2 - -0.4. Let q = i - 0.4. Put 2\/9, u, q in ascending order.\nAnswer: q, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from vqvvq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4744686, -4744685, -4744684?\n\"Answer: t - 4744687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1704 (b) -0.2 (c) 14 (d) -0.4 (e) 2 (f) 5 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let b = -2.72 - -2.82. What is the closest to -2\/3 in b, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -o - 14, 3 = -69*o + 72*o. What is the smallest value in 1, 5, d, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 104 (b) 32 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102111102 (base 3) to base 16.\nAnswer: 20bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343801285 by -4351915.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 759204, 759273, 759342, 759411, 759480, 759549?\n\"Answer: 69*n + 759135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n - 28*n - 25 = 0. Suppose 5*k = 17*y - 22*y + 10, 10 = 5*k - n*y. Which is the second biggest value? (a) 11 (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(243) + 0 + 1 + sqrt(243) - sqrt(243)) + sqrt(243) + sqrt(243) + 0 + -1) - (1 + (sqrt(243) - (sqrt(243)*-3 + 4 - sqrt(243))))*5)*-4)**2.\nAnswer: -95040*sqrt(3) + 1885392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 5*n + 13 - 24, 0 = -2*h - 7*n - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2119 (base 13) to base 5.\nAnswer: -121320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1049560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7472 + -7549.81. What is a rounded to 0 dps?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17456749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 45 = 7*q. Let i be (-1 + q)*16\/32. Suppose 3*l = i*l - 28. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 12*u - 26. Let o be (3\/3 - u)\/(1\/(-1)). Solve q + o = -5*s, q + 1 = 2*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(4 - 2\/1). Suppose 0 = 2*j - i - 20599996, 2*i - 51500008 = -y*j - 0*i. What is j rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - o - 5. Let h = -3 - -7. Calculate the remainder when l(h) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2217264, -2217241, -2217204, -2217147, -2217064, -2216949?\nAnswer: -2216796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 20*w**2 - 8. Let m(u) be the second derivative of -13*u**4\/12 + 5*u**2\/2 - 3*u. Suppose 0 = 5*a - 50 + 90. Give a*m(g) - 5*i(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/(-1274)*2058\/2842?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 3, z: 4, f: 1, v: 2}. What is prob of sequence fyzy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20 - 0\/(-1)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**19\/m*m)*m\/m**(-1\/34)*((m\/(m*m*m*m**(-1\/20)))\/m)\/(m\/(m*m\/((((m**(-1)\/m)\/m)\/m*m)\/m))) assuming m is positive.\nAnswer: m**(-5413\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -102?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 488046013 divided by -601783?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5489*i**4 + 16305*i**2?\nAnswer: -131736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(33)\/sqrt(3) + 4)) + 3)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 - 38. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1 + (3 + 2 - 7)*(-2 + 2 - 1) - 1 + 1 - 2)*(184*r - 77*r + 40*r).\nAnswer: -294*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3155 rounded to two dps?\nAnswer: 2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1829\/1552 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4768742 is divided by 10789.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 5 - p**3 + 0*p**3 - 4*p**2 + 4*p. Give u(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 65 = -47 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 11:47 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -13*s**2\/2 + 13*s - 5. Let x(z) = -3*z + 3. Give 2*k(f) - 9*x(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 256981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 0*h**3 - 4*h**3)*(0 + h + 0) - 2*h**4 - 4*h**3 + 4*h**3 + 5*h**4 - 3*h**4 - 4*h**4 + 18 - 175*h**4 + 29*h**4 - 17.\nAnswer: -152*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117643 or 117645?\nAnswer: 117643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16*((-396)\/8)\/9. Let r = p + 175. What is the first derivative of 8 - r*y - 79*y + 166*y + 14*y**3 wrt y?\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.4. Let m = 1.4 - s. Let x = -0.1 + 0.3. Which is the closest to -1\/2? (a) 1\/8 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6859 + -322385\/47. Calculate the common denominator of a and -85\/4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = 224. Calculate the least common multiple of -7*(((-80)\/12)\/5)\/((-6)\/(-9)) and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 5:26 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -3, -16105?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**3 + 6*i**2 - 3*i - 4. Let q be x(-4). Calculate the common denominator of -17\/2 and ((-50)\/q)\/((-66)\/88).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (151 + 167 - 73 - 16)*(-4*i**3 + 0*i**3 + 5*i**3) as o*i**2 + b + p*i**3 + n*i and give p.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*b - 57*b + 3 - 3 in the form v + i*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k + 18. Let y(i) = 3*i - 37. Let d(w) = -5*o(w) - 2*y(w). Let p be d(7). Let f(u) = -u**2 + 13*u - 2. What are the prime factors of f(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12183 divided by 93?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8207*h + 6103*h - 14337*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 360a985?\nAnswer: -360a980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(405) + 1)**2)*2.\nAnswer: 38*sqrt(5) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*f + 125*f + 125*f - 487*f + 122*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 273969908 - 5?\nAnswer: 273969903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m - 2. Let q(n) = 7*n + 10. Let z be q(7). Suppose 2*a - z + 51 = 0. What is d(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 4 + -7)\/(-4 - -3). Let f be 0 + 1 + (2 - 1). Solve p = -i - f*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + v + 25. Let b = 0 - v. What is the remainder when 7 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1476 divided by 3.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**2. Let l be f(-1). Suppose 0 = -p - p. What is the common denominator of -73\/4 and p + -2 - 29\/l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -23*a**3 + 134*a**2 + 59*a - 164. Determine g(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 266*q = 264*q - 4, -p = -q - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1735 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1538\/11 - -140. What is the nearest to -2\/5 in 0.5, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 66*u + 269. Let v be c(-4). Suppose 5*k = -470*n + 466*n - v, 0 = 5*k + 5. Factor n + 2\/5*w - 1\/5*w**2.\nAnswer: -w*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9699 + -9698. Which is the closest to r? (a) -0.3459 (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52.32, 4, 0 in ascending order.\nAnswer: 0, 4, 52.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**3 - u**2 + 7*u + 6. Let q(w) = -37*w**3 - 3*w**2 + 20*w + 17. What is -17*j(f) + 6*q(f)?\nAnswer: -18*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5 + 9)\/(-4))\/((-1)\/(-465)). Let b = -322 - m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 595593 and 156978?\nAnswer: 20250162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 24932 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -1209*f**6\/40 + f**5\/60 + 7*f**4\/24 + 184*f**3\/3 + 262*f**2. What is the second derivative of v(y) wrt y?\nAnswer: -21762*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + 1.3. Let i = -45 + 45.3. Which is the third smallest value? (a) -9 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -78, 1, 0.1, 0.4, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*2 + (sqrt(117) - (sqrt(117) + 5*sqrt(117)*-1 - sqrt(117))))\/(sqrt(441) + -1*(sqrt(441) + (sqrt(441)*2 - sqrt(441)))) + 2 + 5.\nAnswer: -4*sqrt(13)\/7 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 94*f - 87. Let r be o(-35). Let h = r - -460. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 136*r + 2408. Let k = -39 - -62. What is the remainder when b(-17) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + p = 7, -2*j + 0*j - 5*p - 1 = 0. Suppose -u - 13 = -5*q, q - 3*q = -4*u + j. Is u + (23 - (3 + 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 17. Let k = -53 + 57. Let j be 2*(53 - 2) + (k - 2). Calculate the greatest common factor of j and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-130)\/1)\/10)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.244 and 7349?\nAnswer: 53236.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -1\/4*d**3 + 1\/8*d**4 + 0*d**2 + 3\/40*d**5 + 0 - 9*d - 1\/20*d**6. Determine p so that h(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 16. Let i(g) = -2*g - 8. Let t(u) = 5*i(u) - 3*y(u). Let s be t(0). Let q = s + -5. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 50. Let r be (-2)\/(-5)*5\/s. Let d(y) = -y**3 - 10*y**2 + 18*y - 74. Let i be d(-12). What is the closest to 0 in i, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(432)*-2)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26650624 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-8)*-2)\/((-9)\/(-450)). Suppose g - 225 + w = 0. Let o = 0 - -1. Put 7, -1, g, o in descending order.\nAnswer: 7, o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 252450116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 + 10\/(-1). Let y = 9 + t. Solve -16 = -4*u - y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:37 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 6. Let q be u(0). Let p(t) = -t**2 + 5*t + 11. Let c be p(q). Suppose 54 = -c*z + 8*z. Calculate the greatest common divisor of 144 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 25. Give x(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 87 - ((-38 - -20) + -8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 20*n**3 - 19*n**3 + n**4 - 83*n**3 - 66*n**3 + 22*n**3 in the form t*n + d*n**2 + v + l*n**3 + j*n**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = 0, b = -3*s - 0*s - 88. Let q be -3 + -2*b\/(-2). Let t be (-2)\/5 - q\/20. Solve -2*i - t = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 9690 (c) 0 (d) 93\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/8)\/((-2)\/(-12)). Which is the closest to -5? (a) p (b) -0.2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/252*-9)\/((-39)\/(-24))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1045025*s**3*x**3 + s**3*x + 7*s**3 + 4*s*x**2 - 1649 wrt x.\nAnswer: 6270150*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38472683.\nAnswer: 17, 2263099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13409, -13414, -13419?\n\"Answer: -5*j - 13404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2) + -2 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (-19 - 25) + 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70, 67, 64, 61, 58?\n\"Answer: -3*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 13 = -a - 0, 2*m - 4 = 0. Calculate the remainder when 53 is divided by (-84)\/(-8)*12\/a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1342612 + 3134?\nAnswer: 1346046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 24*t - 95. Let p be l(5). Solve -619*v + 613*v + 24 = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n. Let m(p) = -4*p - 3. Let u(t) = t - 1. Let l(z) = 5*m(z) - 15*u(z). What is o(l(w))?\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/376 and -5\/1034?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - v - 4. Let u be 6 - (-12)\/((-4)\/1). Let d be 1 + 1 + -5 - u\/(-1). Determine m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + a + 3*a + (-16481 + 16481 + 210*a)*(14 + 18 + 59 + 1).\nAnswer: 19319*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 468\/126 - (-2)\/7. Solve 4*z + 6*y - 2*y = 32, -g*y = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21912 and 658416.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.1 - -0.1. Sort -2\/3, l, -3 in descending order.\nAnswer: -2\/3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:35 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 8*z**2 - 9*z + 11. Let g be v(-6). Let c(b) = -2*b**3 - 10*b**2 + b - 20. What is the hundreds digit of c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/10*(-750)\/(-225)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(7\/5)*o))\/o*o*(o\/((o*o*o\/(o*o**4))\/o*o))\/o)\/(o**(-5)*o*o**2\/o) assuming o is positive.\nAnswer: o**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 261*g + 494 - 113. Which is the smallest value? (a) g (b) 38 (c) 0.5 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2, -4 in descending order.\nAnswer: 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6723 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2*h**2 - 1. Let f be o(1). Let y = 6 - f. Suppose -y*d + 12 = -0*d. Solve -15 = d*c - x, 4*c + 2*x = 2*c - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((6\/9)\/(2\/(-3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -115006 in ascending order.\nAnswer: -115006, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 916982997 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = -5. Suppose -n = -3*x - 2*y + 1, -4*y = 3*x + 2. What is the least common multiple of 9 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + r + 5)*(41*r - 27*r + 61*r) to the form p*r**2 + t*r + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1 (c) -24 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.211 + -3839.7?\nAnswer: -3839.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + 3 + 34 + (15 - 39) + 16)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 + 2*j**2 - 1. Suppose -4*n - 5 = n. Let a be d(n). Find the third derivative of -4*l**4 + l**2 + 2*l**4 + l**a wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 + 3*o. Let p be k(4). Let b be (p\/(-12) - 0)\/(2\/12). Let d = 0.2 + -0.1. What is the closest to -1 in 4, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10197252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 2*j - 11. Let h(s) = s**2 - 2*s - 11. Suppose 2*m + a - 4 = 0, 4*a = -3*m - 1 + 7. Calculate m*z(w) - 3*h(w).\nAnswer: -w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + 1 + 19)\/(30\/180) is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -2 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34833888?\nAnswer: 2, 3, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 3. Let v(t) = 15*t - 11. Let o(q) = 22*p(q) - 6*v(q). Let g(s) be the second derivative of s**4\/6 - s**3\/6 - 449*s. Determine o(g(m)).\nAnswer: -4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eln when three letters picked without replacement from {v: 2, n: 5, e: 4, b: 1, l: 1, a: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*x - 17*x + 540 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12218, 24436, 36654?\nAnswer: 48872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2097 + 384 + 1039 = -16*s. Suppose -3*f + 2 = 11. Let w be (s\/(-16) + -7)\/(f\/(-64)). Calculate the highest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 692027 and -95.\nAnswer: -65742565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i = -5*m + 45, 25 = 5*m. Suppose 95 = 4*w + i*n - 105, -50 = -w - 3*n. What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*j + 1752 + 668 = -648*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 15. Let g(c) = -9*c + 22. Let f(x) = -5*g(x) - 7*r(x). Let l be f(5). Solve -5 = -3*y + l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5320 + 5320.12. Which is the third smallest value? (a) -1 (b) t (c) -0.4 (d) 2 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/4, -3, 0.3, -5\/57, 2\/23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499718931?\nAnswer: 3, 503, 331159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40691740 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7580817.5 + 7580823.4999997. Let j = 16 - 22. Let m = j + v. Round m to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294150 and 57350.\nAnswer: 9118650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/7 - 4929*f\/7 + 19668\/7 = 0. Calculate f.\nAnswer: 4, 1639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4349, -8674, -12983, -17270, -21529, -25754, -29939, -34078?\n\"Answer: d**3 + 2*d**2 - 4338*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8271 to the nearest 100.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 - 2*h + 4*h**2 - h**3 - h**3 + 0*h**3 - 6. Suppose -4*f + 3 + 45 = 0. Let g = f + -16. Give o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 18 = -5*i. Let c(d) = d**3 + 14*d**2 + 12*d - 9. Let l be c(-13). Let h = i - l. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033 (base 4) to base 12.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 6. Let m be h(4). Let l(g) = 23*g**3 - 2*g**2 + g. Is l(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 9 + 1. Let m(n) = 21*n**2 - 44*n + 56. Let y(u) = 4*u**2 - 9*u + 11. Let q(t) = -2*m(t) + 11*y(t). List the prime factors of q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 25*r + 12. Let f be b(-19). Let m = f + 5. Let k = 52 + -28. Calculate the highest common factor of k and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27612 - 384747\/14. Let a = x + -130. Let o = -1\/2402 + 61253\/4804. Find the common denominator of o and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16484 < -16430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114045\/44 - -2592. Which is the nearest to -1? (a) 0.2 (b) -0.4 (c) r (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 13.05.\nAnswer: 117.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.147295 rounded to one decimal place?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**2 + 6*r + 36. Let c(x) = 7*x**2 - 8*x - 37. What is -3*c(a) - 4*y(a)?\nAnswer: 3*a**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3497 divided by 229.\nAnswer: -3497\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = -3*s + 5*z, 232 = -0*s + 2*s - 4*z. Let k = s - 79. Suppose -19 = 2*d - k. Solve 4*a + 2*y = 8, -5*a = -a + d*y - 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.2 + -22. Let y = z + 4.8. Let a = -2 - -7. What is the nearest to 0.1 in a, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/6)\/(5\/(-30)) + 7944.\nAnswer: 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -98\/825 (b) -2\/5 (c) -1\/12 (d) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14814*u + 2251731. Calculate l(152).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a microsecond in nanoseconds?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(891) + -1)**2 + (sqrt(77) + 4*(sqrt(77) + (sqrt(77)*2 - sqrt(77))))\/(sqrt(84)\/(sqrt(48) - sqrt(12))))*-3.\nAnswer: -10767 + 513*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.024 + -3.024. Let p = -41.4 - -41. Let w = 6 - 3. Sort p, r, w.\nAnswer: r, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 190*y + 27. Is k(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.107, 0.\nAnswer: -0.107, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22409 + -91929. Let a = p + 69518.90038. Let u = -1.1 - a. Round u to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = c + c - 704, 4*c - 8 = 0. Suppose 0 = 2*b + 3*b - s. Suppose b = 4*o + v, -o + v = 1 - 3. Solve -d = d - o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.405263 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 1652. Let d(p) = 1244*p**2. What is x(d(w))?\nAnswer: -1547536*w**4 + 1652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Suppose 4*f + 5*y - 23 = 8, y + 10 = f. Let j = f + -16. Which is the biggest value? (a) w (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((16 - 16 - 9*l)*(84 - 93 + 58) + l + 2 - 2 + (-4*l + 2*l + 0*l)*(1 - 6 + 3))*(l**3 - l**3 + l**3) as h*l + d*l**3 + o*l**2 + x + r*l**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 6*u - 3. Let r be t(4). Let p be r\/((-20)\/(-16)) - 8. Put p, -3, 3 in descending order.\nAnswer: 3, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3687135\/71266 - -192\/2741. Let d = a - 103\/2. Factor d*g + 6\/13*g**2 + 0 + 2\/13*g**3.\nAnswer: 2*g*(g + 1)*(g + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 317*o - 795. What is v(4)?\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from vsmdzzr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 16*y - w - 204, 0 = 2*y - w - 104. What is the least common multiple of 5 and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78538 or 3\/10?\nAnswer: -78538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14704*w - 14817*w + 3616 = 0. Let n(j) = j**2 - j - 297. Let t be n(0). Let m = t + 424. What is the remainder when m is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 38 = 2*z, -4*z = 4*k - 4 - 4. Solve -4*x + k*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19494471 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1523460.3ms?\nAnswer: 25.391005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 19?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 - m - 2. Let g be d(-6). Suppose 4 = q - g*u - 5, -2*u + 1 = 5*q. Sort q, -3, 0 in decreasing order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085*r + 716 = 39*f - 1090*r, 2*f - 4*r = 18 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(225) + sqrt(9)) + (sqrt(1584) - 2*sqrt(1584)) + 3.\nAnswer: -71*sqrt(11)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 35, 76, 135, 212, 307, 420?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8380*j**2 - 186*j**2 + 405*j**2.\nAnswer: 8599*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o + 305 = 0. Let i = 95 - o. Suppose 19*j + 34 = 21*j. What is the highest common factor of j and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 21*c + 50. Calculate b(10).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 146d31?\nAnswer: 146d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f**4\/3 - 484*f**3\/3 + 172*f**2 + 836*f\/3 - 184\/3 = 0 for f.\nAnswer: -1, 1\/5, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.3 (b) 3 (c) -6\/5 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 8 + 5*a + 2*a**3 - 13*a**2 + 4*a**2 - a**3. What are the prime factors of v(-10)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 31*i + 60. Let y be q(4). Suppose 506 = 2*m - y. List the prime factors of m.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1084083 divided by 2527.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2412520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.5, 2\/241, 2, -1\/109 in ascending order.\nAnswer: -1\/109, 2\/241, 0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245416.16541 - 0.5.\nAnswer: -245416.66541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, 3, -2, -62 in increasing order.\nAnswer: -62, -2, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, 119, -2, -64 in descending order.\nAnswer: 119, 14, 0, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.979 + -11.979. Suppose 4*h - 23 + 3 = 0. Suppose -2*x + 4*g + 8 = 0, h*g = -2*x - 0*g - 28. What is the second biggest value in c, -29, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/50)\/(2\/(-5)). Let m(j) = 2*j - 1. Let s be m(3). Suppose t - 2*h = s + 5, 39 = 3*t - x*h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 17 - (2 + -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 + 108*y\/5 + 40.\nAnswer: 4*(y + 2)*(y + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - l - 57957 = -58006, -9*u + l + 155 = 0 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-30)*(-2)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68365*t**3 + 435*t + 27 wrt t?\nAnswer: -410190*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = n - 2*x - 72, 0 = n + 4*x - 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b09 (base 12) to base 15.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/7 - (-44)\/42)*3780\/42. Solve -24*s = -4*s + b for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/21 and 145\/61497234.\nAnswer: 430480638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -54 - (-140993)\/2493.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*t = -2, -5*n + 5*t - 622 + 614 = 4*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:13 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7 = -4*s, -2*s + 13 = 2*h + h. Suppose 5*k - 90 = 2*k. Let y be 78\/k - 3\/5. Is s at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 9:33 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + 36\/24. Suppose q = 3*p + 2*p - 79, p + 4*q = -i. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2840\nAnswer: -1\/1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1401 + -630.14. Let f = c - 764. Let t = 1.44 + f. What is t rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (4 - (-2 + 4))) + (98 - (81 + 27)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) -359 (c) 1 (d) -192 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h - 99*h**2 - 71*h**2 - 61*h**2 + 228*h**2.\nAnswer: -3*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14428930457 - 135487656851951\/9390. Let f = -18690 - -29249851\/1565. Let q = v + f. What is the common denominator of 89\/2 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = d - 41, -i - 5*d + 2258 = 0. Does 40 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j - 4 - 13*j**2 - 37*j**2 + 10*j. Let s(o) = -o**2 - o + 1. Let m(p) = 2*g(p) + 4*s(p). Find a, given that m(a) = 0.\nAnswer: 2\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*t + 18*t + 2*t + 3*t - t + 0*t + (-1 - 2 + 4)*(-4*t + 2*t + t))*(-4 + 4 - t).\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-13 - (-9 + 3) - -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Suppose -2657 = -47*l - 216*l + 762. Let s = 9 - 5. Solve -r*o = -l + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2799 - 2811. Sort -2, l, 2, -1, -5 in ascending order.\nAnswer: l, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7337*v - 10408*v - 3783*v - 6848*v - 13038*v.\nAnswer: -41414*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-5) - -5*20\/(-250). Are 31\/12 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 20433.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:10 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*l**2 - 257*l**2 + 130*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o, 44*o - 53635 = -3*c + 48*o. What are the prime factors of c?\nAnswer: 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1776 and 32?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -245 - -244.67. Let w = -0.27 + n. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 9 + 11. Calculate the smallest common multiple of u\/(-15) - (-20)\/3 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/12 + l**3\/6 + 4*l**2 - l. Suppose -5*p + 4*y = -8, p - 2*y = -p + 2. Let k be h(p). Sort 2, -2, k in ascending order.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 1174 (c) -1\/8 (d) 192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -9.6. Let o(v) = -v**2 - 3*v + 4. Let a be o(-3). What is the second biggest value in a, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let y(g) = -7*g**2. Let d(m) = m**2 + 67*m + 1085. Let q be d(-40). Calculate q*y(x) - 21*k(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1366 or 1368?\nAnswer: 1366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4899771 or 14699309\/3?\nAnswer: 4899771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 989?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/((-1)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 317, 330, 341, 350, 357, 362?\n\"Answer: -p**2 + 16*p + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(-2 + sqrt(180) + 1))**2 + 2*(1 + sqrt(50)\/(sqrt(10)*-2*-2)).\nAnswer: -863*sqrt(5)\/2 + 6518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 49180\/35 - -1 - (-1)\/(-7). Let h = -973 + g. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - -16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*j = -832, 0 = 3*b - j - 388 - 856. What is the remainder when b is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-20))\/(-1*14\/8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1.7. Let g = -10 + 2. Let v = g + 6. What is the closest to -1 in c, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*s**2 - 260*s**2 + 526*s**2 + 122 + 2*s.\nAnswer: 8*s**2 + 2*s + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*w = -2*n + 2, 4*n + 25 = -3*w. Is (-405)\/(-12) + 3\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, 1, 16, 37?\n\"Answer: 3*r**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(144)*2)\/sqrt(8))\/(sqrt(30)\/sqrt(125)) + -5).\nAnswer: -10 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:34 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 0 = 5*b + 4, 0 = -5*l - 5*b + 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let g(n) be the third derivative of -5*n**4\/24 + 6*n**2. Calculate g(b(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, z: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 + 588. Is 34 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 9 - 26 - 11 + 2*g**3 to c + r*g**3 + q*g + u*g**2 and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186 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: Collect the terms in -2081915 + 2081915 + 6*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 18. Let u(r) = -3*r - 52. Suppose -2*g - 3*j = 3, -5*g + 5*j + 7 = -48. Let a(x) = g*u(x) - 17*w(x). What is a(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4257645502.\nAnswer: 2, 11, 53, 3651497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*r - 23094623 - 2*r**2 + 23094647 - 17*r to u*r + o + b*r**2 and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/(-216))\/((42\/(-3))\/(-168))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741668.\nAnswer: 2, 157, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223755?\nAnswer: 3, 5, 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -41080?\nAnswer: 41079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(2\/(-3)) - 2) + -13. Let o be (1 - (-32)\/q)*-9. Is (-6 - -1)*(1008\/o)\/(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 756 in -0.2, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9309 and 4173?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -7 - (50973\/12)\/(-2 + (-35)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238527721.\nAnswer: 238527721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 58636*d**2 + 234488*d - 703536.\nAnswer: 2*(d - 2)*(d + 6)*(d + 29314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2. Let j(n) be the third derivative of 1\/4*n**4 + 0*n - 3*n**2 + 0 + 0*n**3. Determine h(j(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/20 - x**4\/2 + 5*x**3\/6 - 49*x**2\/2 - 64*x. What are the prime factors of s(9)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by -15?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -506841.42 rounded to the nearest 100?\nAnswer: -506800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -4*r**3\/17 + 89*r**2\/17 + 190*r\/17 - 810. Factor b(x).\nAnswer: -2*(x + 1)*(6*x - 95)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2. Let j(u) = -25 + 2*u**2 + 25 - 4*u**2. Give m(j(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/(-424)*32\/284?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - 8\/12. Let n be v\/(-9) - (-17)\/9. Suppose 24 = 2*w + n*q, 0 = -4*w + 2*q + 29 - 5. Calculate the greatest common divisor of w and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u**2 + 9*u - 18. Let s(v) = 17*v**2 + 17*v - 34. Let c(h) = 9*s(h) - 17*t(h). Let p be 0*3\/(-12)*2. Let z(a) = 0*a + p*a + a. What is z(c(q))?\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/14 + -4 + 2. Let o be -2 + 0 + (-231)\/12. Let z = -21 - o. Put 3, z, c in descending order.\nAnswer: 3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*v - 44*v + 12*v - 25*v - 19313 = 0 for v.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281497960 to the power of 1\/2, to the nearest integer?\nAnswer: 35798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -266.9 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165649 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4452405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18260*b**2 + 9114*b**2 - 48*b + 9239*b**2.\nAnswer: 93*b**2 - 48*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*t + 5*g - 22, 0 = 3*t + 4*g - 13. Let m(y) = 2*y**2 + 4*y - 8. What is m(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 4*u - 2*u. Let t(l) = 8*l**2. Give t(s(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-45\/7)*(c\/c**2*c)**46 assuming c is positive.\nAnswer: c**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 4.\nAnswer: -23, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**3 + d. Suppose 0 = -4*j + 5*p + 4, 2*j - 4 = 2*p - 2. What is the remainder when 15 is divided by a(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 43, 98, 177, 280?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (14616\/768 + 0)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039875 to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 635807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1969 divided by 60.\nAnswer: 1969\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 8*x + 8. Is 18 a factor of q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 1472 = 13*l. Let b = l + -211. What are the prime factors of b?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-42)\/(-24))\/((-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = k - 25*k. Is 25 a factor of (31 + -119)*k\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + 41656.57.\nAnswer: 41656.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k + 3. Let z be m(-2). Let t(u) = 3*u + 95. Let f(y) = 10*y + 284. Let i(w) = z*t(w) - 2*f(w). Is i(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -487 - -501. What is the highest common divisor of o and 1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 - 6*z - 11. What is the remainder when r(-7) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 350.07 + -348. Let l = i - 1.852. Let h = l - 0.21800955. Round h to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3 = -p. Let k(g) = 12*g + 9. Let h(m) = 6*m + 5. Let x(s) = p*k(s) - 5*h(s). Differentiate x(q) with respect to q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -0.43134311?\nAnswer: -0.06865689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 304 + -273 + (99 - 1 - -2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((4\/(-10))\/1)\/((-6072)\/(-9108)). Put 0.1, 6, w, 2\/5 in decreasing order.\nAnswer: 6, 2\/5, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13344 is divided by 534?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:15 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5114*i + 142884 + 181744 = 35357 + 23343 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022233 (base 4) to base 8.\nAnswer: 31257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 15*m - 13*m - 2 = 0, -5 = -p - 5*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702817409.\nAnswer: 7, 107, 938341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -469 and -0.4.\nAnswer: 187.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12025268578 rounded to the nearest one million?\nAnswer: -12025000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/100*((-7)\/(63\/152))\/(2\/3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/24 + 15*o**2 - 2*o. Let w(z) be the first derivative of f(z). Let b(i) = -i + 33. Give w(b(k)).\nAnswer: -k + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.1. Let f = -0.13107 - 0.06893. Which is the smallest value? (a) 0.058 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -307747 > -307770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.3, -2557, 0.5, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143999 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-2280)\/(-9))\/(-5))\/((-8)\/12). Let a = 94 - w. Determine b so that a*b**3 + 128 - 34*b - 24*b**2 + 10*b**3 - b**4 - 94*b - 3*b**4 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*o - 200 - 9 = 10. Factor 0*j - 2\/3*j**4 + 0*j**o + 2\/3*j**2 + 0.\nAnswer: -2*j**2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.74 - -16. Let g = w + -0.2. Let y = g - -0.34. Put 1, 2, y in descending order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122000 - 200120101?\nAnswer: -121221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkeeqqekqe. Give prob of sequence qk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 275 and 3944600?\nAnswer: 3944600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5 - 202*z**4 + 38924*z**3 + 14127112*z**2 + 1349442976*z + 42766852096 = 0?\nAnswer: -122, -92, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -14)*86\/(-4)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*-14*(-3)\/(-12). What is the greatest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 4*o - 1. Suppose 4*x - 4 = 4*n, 4*x + n - 2*n + 2 = 0. Let c be -3 + 1\/(x\/(-6)). Give q(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-3) + (0 - 0). Suppose 0*t = d*t - 6. Determine u, given that 76*u**t + 5*u + 98*u**4 + 78*u**3 + 3*u + 64*u**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (-7 - -19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96\/5*r + 96\/5*r**3 - 16\/5 + 44\/5*r**4 - 28\/5*r**2 = 0. Calculate r.\nAnswer: -2, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 4. Let y be j(-6). List the prime factors of (1 - y)*-653 - -4.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-213 + 138 - -99) + -39.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411*u**2 - 73*u**2 + 704*u**2 + u**3 - 3*u**5 wrt u?\nAnswer: -180*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 84*z + 80. Let i be p(-83). Which is the third biggest value? (a) 18 (b) i (c) -1 (d) 0.3 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 5 (c) -0.1 (d) -6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/1120275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36943960?\nAnswer: 2, 5, 923599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*o - 44, 4*x = o - 5*o - 44. Let f = x + 5. What are the prime factors of (16\/f)\/((-1)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 12. Let f(t) = 3*t**2 - 74*t - 7. Let g(u) = -4*u**2 + 91*u + 8. Let l(o) = -5*f(o) - 4*g(o). Determine l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = 18*z + 20. Factor -2*d**5 - 2 - 9*d**2 - 4*d**4 + 13*d**2 + z*d + 2.\nAnswer: -2*d*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22, -3, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-2)*(-24 - (-81 + 55)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 507, 509, 511, 513, 515?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufo when three letters picked without replacement from {o: 1, f: 1, u: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 + -6 + 3 + -3. Suppose -5*m = p, 3*m + 148 = 3*f - 92. Let d be (7 + -10)*(-4)\/f. Which is the closest to -1? (a) d (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614678854?\nAnswer: 2, 37, 8306471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(1\/4))\/j)\/(j*j**1*j))\/(j\/j**(3\/5)*j**(1\/2)\/j*j))**(-8) assuming j is positive.\nAnswer: j**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(2 + 2)\/4. Suppose -2*l = -2*s - 6, 4*l + 5*s = j - 24. Factor 2\/11*n**2 + l - 2\/11*n.\nAnswer: 2*n*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/17 + (-1380)\/3910. Solve 11*a - i*a + 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 11 + -5 + -20 + 17\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -79161425 divided by -4\nAnswer: 79161425\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (66 - -1 - 22)) + 4.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.6 + 14. Put 5, w, -5 in descending order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 1. Let i(u) = -u - 1. Let w(l) = -4*i(l) + 5*t(l). Let f be w(-1). Solve f*k - k**4 - 2*k**3 + 0*k - k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.2, 50.32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179036634 divided by 59678878.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1113111?\nAnswer: 1113112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 20 + (11 - -11).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2793221 weeks?\nAnswer: 168934.00608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, n: 7}. Give prob of picking 2 t and 1 n.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 5*m. Suppose -m = 3*j - d, -3*d + 0 - 5 = -2*j. Let s(c) = 2*c**3 + 2*c**2 - 3*c - 2. What is s(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, 24, 137, 294?\n\"Answer: 22*k**2 + 3*k - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 - 38220*k - 920160 = 0 for k.\nAnswer: -24, 7668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 365\/304 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*a**2 + 6 + 2*a**4 - 4*a**4 + 7*a**3 + 2*a + 24*a**2 to b + c*a**3 + y*a + p*a**2 + j*a**4 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w + 5. Let o(b) = 13*b - 4. What is -6*o(z) - 5*u(z)?\nAnswer: -13*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, c: 3, d: 8}. What is prob of picking 2 d and 1 v?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-27)\/(-6))\/(((-6)\/(-1))\/(-6))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -12*o**2. Let h be 9\/6*(36\/(-3))\/2. Let g(i) = -5*i**2 + 9*i - 9. Let q(y) = -y**2 + 2*y - 2. Let r(m) = h*q(m) + 2*g(m). What is r(d(k))?\nAnswer: -144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 4 - (-17 - (3 - 8))) + -53.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3 + 29079*l**2 - 544*l - 208329033 wrt l.\nAnswer: 9*l**2 + 58158*l - 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -978 + 982. Which is the second smallest value? (a) 2 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/45*(-252)\/(-224). Solve -15\/2*y**3 + 15*y**2 - 10*y + x*y**4 + 0 = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 13805*d**3 - 524*d**2 + 4 wrt d?\nAnswer: -48*d - 82830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.569 + 44.549. Let j = 53.7 - l. Let m = j - 14. Round m to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2\/19 (b) 24\/31 (c) -2\/9 (d) 0.41 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.78 in 1.1, 1, -62, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 - 10814596*c**2 - 64887468*c - 97331148 = 0 for c.\nAnswer: -2703643, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 29*o**2 + 28*o - 7. Let q be n(-28). What is the least common multiple of 123\/7 + q + (-52)\/(-7) and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 92, 0.5, 4.349 in decreasing order.\nAnswer: 92, 4.349, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 11*f - 490. Let k be ((-39)\/f)\/(2\/10). Which is smaller: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 123 + 2*i + 43.\nAnswer: 2*i - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 3\/2, 3, -35, 0.03, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 1, -12, -2 in increasing order.\nAnswer: -12, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - 21\/(-6). Suppose -a*z + 7 = 10. What is the biggest value in z, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -1, -1\/181?\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 525 (c) 2 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/176*330\/12\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*v - 26*v + 693 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {f: 11, t: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhqhhqqqvqhkvq. Give prob of sequence hq.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 14 - 15 + 176*a**2 to b*a + f + g*a**2 and give g.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7979 - -2207. Calculate the remainder when q is divided by 167.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 141565?\nAnswer: -141569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 111891*c + 559446. Calculate y(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 3. Let a be j(-5). Suppose -1 - 7 = -q. Let y be (18\/(-30) + 1)\/(6\/30). Solve a*i + y*i = -q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -544961, -543514, -542057, -540584, -539089?\n\"Answer: b**3 - b**2 + 1443*b - 546404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*t - 136*t - 24573*t**2.\nAnswer: -24573*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824896897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*n + 30. Solve -u + n*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(35\/14)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 + 145*w**2 - 4125*w.\nAnswer: -w*(w - 550)*(w - 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 1. Let l = -27 - -27. Let x(f) = f**3 - f - 8. Let z be x(l). Let j = z - -8. Calculate q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let n be 4\/(-22) + 245\/77. Let u be -4*(-2 + -1)\/n. Is 4 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 - u**4 - 4*u**3 + u**4)*(-u + 6*u - 2*u)*(-1 - 3 + 3).\nAnswer: 3*u**5 + 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 10*x - 22. Let o(b) = -3*b**2 - 30*b + 66. Let m(c) = -3*o(c) - 8*w(c). Suppose 82*v - 73*v = -108. Let n be m(v). Are n and 17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0 = g + 13, -l + 3 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3830 + -3820. Solve -p*d + 17*d - 28 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 3 - (-6900)\/54. Let g = o + -132. Suppose -2*t = 2*t. Put t, g, 0.4 in decreasing order.\nAnswer: 0.4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/35 and 31\/623055.\nAnswer: 4361385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -23*o**3 + 4*o**2 + 16*o + 26. What is q(-2)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:26 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:46 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -6. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a + 45 + 28*a**3 + 11*a**3 - 2*a**2 - 11*a wrt a?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2003 and -2005 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u - 82. Let o be a(-9). Sort 15, 2, -5, o in decreasing order.\nAnswer: 15, 2, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -373303858, -373303860, -373303862?\n\"Answer: -2*n - 373303856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 8 - 16 - 20*v**2 + 15 - 255*v + 21 = 0. Calculate v.\nAnswer: -13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505, -1016, -1527?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 8*d**2 + 6*d - 13. Let r(y) = 2*y**2 + 8*y + 15. Let u(m) = m**2 - 1. Let v(b) = r(b) - u(b). Let c be v(-7). What is the tens digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 0*x)*(2 - 1 + 0) + (71*x + 1 - 1)*(-3 + 0 + 1).\nAnswer: -144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 89 - 17. What is the remainder when 294 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 31 + (-61 - -101)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/13, 1022, -5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-463 + 0)\/(3 + 2). Suppose 3*c - 294 = 3*z, -7*z + 2*z + c - 470 = 0. Let x = z - h. Is x at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3\/9 - 4*w**2 - 18*w - 24 = 0?\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18161*o - 18164*o - 2*k - 12, -o = 3*k + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 24 + -19 + (0 - -2)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6774 and 35868.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100569?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14631342 is divided by 3657818.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 4*a - 27 - 5, -5 = -5*k - 3*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = -w - 2*b, -5*w = 7*b - 8*b - 1995. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/12 + i**3\/6 - 2*i. Let n(d) = -d**3 - 2*d**2 - 2*d - 2. Let a be n(-2). Let g = a - 2. What is q(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3998*v**3 + 2*v + 20102 wrt v.\nAnswer: -11994*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 293838 - -0.23.\nAnswer: 293838.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 2112*g + 1114778. What is k(1074)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -0.3 (c) 0.1 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)*(-4)\/4. Let s = 4 - c. What is the lowest common multiple of s and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c91 - -3c9?\nAnswer: 105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r**2 + 2*r + 14. Let j(i) = 6*i**2 + i + 6. Let d(f) = 2*a(f) - 5*j(f). Determine d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 557, -4, 4, -43, -1 in decreasing order.\nAnswer: 557, 5, 4, -1, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -243 and 3.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*l**2*t**3 - 139*l**2*t**2 - 358633*l**2*t + 2*l**2 + 127*l*t - 7688*t**2 wrt t?\nAnswer: 150*l**2*t - 278*l**2 - 15376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d. Let t(b) = 40*b**2 - 6*b**2 - 42*b**2. What is t(s(c))?\nAnswer: -200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*y**3 - 10*y**5 + 68*y**3)*(4 - 6 + 0)*(1 - 2 + 3) + 10*y**5 + 20*y**5 + 0*y**5.\nAnswer: 70*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6077421 (base 9) in base 7?\nAnswer: 36353056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 = 159. Let p = -24 - m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025188 plus -2?\nAnswer: 3025186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*t**2 + 128*t**2 - 160*t**2)*(-4*t + t + 2 + 2*t).\nAnswer: -42*t**3 + 84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -88. What is the nearest to j in -2, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 50. Let u = -7 - -7. Let v be w(u). What is v rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 20*o - 4*o**2 + 25*o + 67 + 60 to c*o + p*o**2 + k and give k.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -17*t**2. Let x(l) = 4407421*l. Calculate q(x(d)).\nAnswer: -330231117811097*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12245727 and 0.4.\nAnswer: -4898290.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1345, 2469, 3583, 4681, 5757, 6805?\n\"Answer: -v**3 + v**2 + 1128*v + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3395795 - -208.91.\nAnswer: -3395586.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 2. Let a be i(-2). Let l be 4\/(-12) - 20\/(-6). Let b(o) = 0*o**2 + 4*o - o**3 - l*o**2 + 0 + 1. Calculate b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*l - 84*l = -213*l - 11359 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -196 (base 15) to base 3\nAnswer: -111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21257.99999863712 + 21258. What is h rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-12)*14*1. Let r(b) = -2*b + 13. Let h be r(v). Let j(z) be the second derivative of 2*z**5\/5 + z**4\/6 + z**3\/6 - 8*z. Determine j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhvv when four letters picked without replacement from {v: 5, h: 15}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1520, 5189, 11362, 20051, 31268, 45025, 61334?\nAnswer: 80207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45821.3 decades to millennia.\nAnswer: 458.213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/80 and -9\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 3510370?\nAnswer: 351036a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, t: 1, b: 2, m: 2, n: 2}. Give prob of sequence tg.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/32*8\/2. Let d be (-78)\/9*w\/2*3. Let j be (-9)\/d*(-4)\/(-6). Is 0.1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o*z**3 + 35*o*z**2 + 2*o*z - 1433*o - 3*z**3 - 15*z**2 - 3*z - 72 wrt z?\nAnswer: -24*o*z + 70*o - 18*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/6)*d\/(d\/((d\/(d*d**(-3\/7))*d)\/d)))\/((d**(-3\/2)\/d*d)\/(d*d**(-1\/8)))*((d**(-2\/9))**48)**9 assuming d is positive.\nAnswer: d**(-15517\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42 and 13\/861.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 16\/3, 0.018, 1.1, 3?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.13. Let q = 0.02 - t. Let w = 2 - 0. What is the nearest to q in -0.5, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -13. Suppose -j = j - 256. What is the highest common divisor of j and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3742092 and 41\/11226276.\nAnswer: 11226276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167256 and 19512.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 99 = -3*w, 55731*w - 55735*w - 68 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10950\/(-876))\/(107 + (5 - 17)).\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 13. Let y be o(-10). Let v be 3 + (59 - y) + 3. Suppose 28 = 2*z + 2*b, 2*z + b = -2*z + v. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u**5\/5 + 13*u**4 + 224*u**3\/3 + 150*u**2 + 126*u + 586. Determine j so that p(j) = 0.\nAnswer: -21, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2. Suppose 4*l - 6 = -2. Determine p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2790, -5577, -8364, -11151?\nAnswer: -13938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*i - 68 = 0, 80 = -0*j + 5*j + 5*i. Solve m = -2*m - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 + 5*t - 2. Let f be b(4). Let n be f\/(-2)*1\/3. Suppose -4*q - n = -1. Sort q, 1, 2.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 399, 309, 219, 129?\n\"Answer: -90*j + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 19059 = w, 2*o - 3*w - 9533 = -0*w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -15. Suppose 0 = -k*s - 3*v + 10 + 56, -2*v = s - 25. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1760202 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**5 - 65*v**2 - 1 + v**5 - 35*v - 29*v - 45*v + 27*v wrt v.\nAnswer: 80*v**3 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 7, e: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02752 - 0.009496.\nAnswer: -0.037016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065751 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/45 - (-95)\/25. Solve 7 = l + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -315 bigger than -318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6508 = 3*v, 198 - 2358 = -v - 3*a. Let r(d) = 2193*d - 4 + 4 - v*d. Let j(b) = -5*b**2. Calculate r(j(f)).\nAnswer: -105*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:36 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*i = -5, p - 2*i + 3*i - 1 = 0. Solve p*g + 4*g - 12 = -5*t, 0 = t - g + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 + 4*t**2 - t + 1. Let f be q(-2). Let w be f - (30\/(-5) + 3). Is 4 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j - 2. Let p be (j\/9)\/((-3)\/18). Is p less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 94. What is the first derivative of -22*p**2 + 51*p**2 - 7 - q*p**2 wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*y - 1451 + 7541 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:06 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*((-100)\/(-18))\/(60\/72).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 74 + -62 + (-5 - (-3 - -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 2*v**3 + 0*v**3)*((v - 2*v + 2*v)*(5 + 1 - 5) + (v - 2*v + 2*v)*(-1 - 2 + 2) - 4 + 4 + 4*v).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccmcmccmmcccccvm. Give prob of sequence cc.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 5)\/1*-4*(-414)\/(-27). What is the greatest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 158\/20 - 6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 5*f + 52, 4*f + 57 = v. Suppose -v = -4*q + 203. What is the highest common divisor of 56 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15948 - 15949. Is o smaller than 1281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 2.2, 174 in decreasing order.\nAnswer: 174, 2.2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32304 or -36321?\nAnswer: -32304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3074048 = 3*y - 131*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -36. Suppose 5 = -2*m + 1. Is 22 a factor of f\/(1\/88*m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6405.048 months in years?\nAnswer: 533.754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 s when four letters picked without replacement from {s: 5, r: 1, j: 5, a: 3, u: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6700221131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(2) + 3).\nAnswer: -12 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7180759517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4565 and 14670997.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133791344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/29? (a) -1 (b) -0.1 (c) 29.47 (d) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 37 = o + 5*v, -3*v - 15 = 0. Suppose -11*c = -o*c. Suppose -4*l - a + 848 = c, 6*a + 233 = l + a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17706482117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n, -2*c - 38 = 5*n + 4. Let p be (-36)\/(-21) + (-6)\/c. Is 1\/2 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63562687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-108))\/((40\/(-12))\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 20*j - 58*j + 18*j. Solve -15*z + 1 = -j*z + 5*g, 0 = -5*z - 5*g + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 23 = 3*j, 0*h = 5*j + h + 27. Let k be j\/3*(-6)\/2. Solve -4*q + 28 = d - 3*d, -37 = -k*q + 3*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (58\/20 - 3)\/((-3)\/(-24)). Let r = 0.5 + -0.9. Which is the biggest value? (a) 0 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 19 = -3*s + 58, 4*c + s + 19 = 0. Let w be ((-2004)\/(-60))\/(2\/(-5))*c. Let u = w + -284. List the prime factors of u.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343 = -7*u - 399 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -4*y - 76. Let j be (-14)\/y + 6\/28. Which is the nearest to j? (a) -3\/2 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-9 - (-10 + 18 + (-9 - -2))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 - 8*k - 12*k + 20*k.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, -3\/8, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + ((-2)\/7 - (-23)\/7). Suppose -3*j - 16 = -r*b, -3*b - 7*j - 14 = -2*j. Solve -b*w + 4*w - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62688656 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from mnczzm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 6*u + 3. Let b be p(-6). Suppose b*v = -h + 5*h + 2, 0 = -v + 3*h - 1. Solve -g - v - 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/244 and 67\/36.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 2*x + 1. Let v(y) = y**2 - 5*y - 8. Let f be v(6). Give s(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 50*b + 20 + 282*b - 7 to z*b + w and give z.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1 + (2 - -248*1). Suppose 736 - y = 4*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o + 51. Let m(z) = -2452*z - 26830. Calculate the remainder when m(-11) is divided by p(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678792.\nAnswer: 2, 3, 28283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f - 1. Let w(p) = -p - 4. Let l be w(-3). Let d = l - 0. Determine c(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51*(-134)\/(-5695))\/((-6)\/100)*-2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, 55, 0.4 in descending order.\nAnswer: 55, 0.4, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8757455 != -8757455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 438244*a**2\/7 - 4112344*a\/7 + 9647236\/7 = 0. What is a?\nAnswer: 1553\/331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/26594645 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24 = u, 25*q - u = 24*q + 4. Solve -3*o + 5 = 4*n, -4*n + q*o = 2*o - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 828.3894 nanometers?\nAnswer: 0.0008283894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 14. What is n(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i**3 - 2*i - 1. Let g be q(-1). Suppose -3*m - 29 = 4*n, 0 = m + 3*n - 2*n + g. Is (m - 0)*(-4 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*l + 194*l - 83*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -236, 1\/5, 0, 2, 13 in decreasing order.\nAnswer: 13, 2, 1\/5, 0, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 6*y + 3. Let v be x(-6). Suppose -23 + 39 = -4*b. Let h be -2 + 51\/6 - 2\/b. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91440 or -91441?\nAnswer: -91440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-402 + 432)*(-4)\/6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1511\/712 + 22\/89. Let q = -479 + 476. Does q = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3\/12)\/(9*(-6)\/(-1188))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by 2.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 16*x - 2*b - 56, -x = b - 16. Calculate the smallest common multiple of x and 14314.\nAnswer: 157454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 - 11*h + 16. Let b be w(9). Suppose -5*y + b - 1 = 0. Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3704 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 744.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 867, 1298, 1729, 2160, 2591?\nAnswer: 3022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4\/9 + 26932*p**3\/9 + 32719432*p**2\/3 + 5482714380*p - 5493623850 = 0.\nAnswer: -6435, -597, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11201*h - 70 = -11215*h. Let k(w) = 10*w + 8. Let n(u) = 11*u + 7. Determine h*k(l) - 6*n(l).\nAnswer: -16*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 313397527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -4595, -10101, -17745, -27527?\nAnswer: -39447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*g - 743 + 95. Suppose 5*j - 4*w - w = 280, 4*w - 154 = -3*j. Calculate the greatest common divisor of g and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 780*n**2*w*x**2 + 44*n**2*w - n*w*x - 2*n*w - 5283*w*x - 2*x**2 wrt n.\nAnswer: 1560*w*x**2 + 88*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692573 is divided by 2043?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1130, 7761, 25644, 60413, 117702, 203145, 322376, 481029?\n\"Answer: 939*v**3 - 8*v**2 + 82*v + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(1\/21)*k))\/k*k)\/k)**(2\/89)\/(k*k**(-13\/2)*k**(-30)*k))**(-10\/7) assuming k is positive.\nAnswer: k**(-644365\/13083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12184)\/(-14) + (30\/(-35))\/3. Let m = 1290 - a. List the prime factors of m.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5835309?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 99, 131, 163, 195, 227, 259?\n\"Answer: 32*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 = 3*f + 5*v, -5*v = -5. Sort 4, 2, -4, f in descending order.\nAnswer: 4, 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942548.7 millilitres to litres.\nAnswer: 942.5487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q + 1197 - 396 = -1439 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + 0.3. Let i(m) = -m**2 + 9*m - 13. Let g be i(4). Let w = g - 51\/7. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -4*p - 8 + 1\/3*p**3 - p**2. Let v be l(-4). Solve 7*t - 2*t - v = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) - 1\/2. Let m(t) = t - 7. Let h be m(10). Let a(v) = v**3 - 7*v**2 - 8*v + 5. Let o be a(8). Sort o, h, s.\nAnswer: s, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 2. Suppose 5*n - 2*u - 19 = 2*u, h*u = 12. Suppose a - 5*a + 3*k = 8, 0 = -3*a - k + n. Put -4, a, -5 in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n = -1577*n + 24*n - 102784 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(-102)\/(-544)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -13. Suppose a = y*a - 6. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 64, 151, 274, 433?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-8)*(-84784)\/(-2271)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n - 40*n + 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11499*a + 77 = 11492*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + (-2)\/(-6). Let w(x) = x**2 - 2*x**3 - 1188*x + 1189*x + 3 - 2*x**2. Let n(r) = 5*r**2 + 1 - r**2 - 5*r**2. Determine g*w(k) - 3*n(k).\nAnswer: -2*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 1\/3, -0.5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k + k**4 + (3 - 3 + 2*k)*(-2*k**3 - 3*k**3 + 4*k**3) - k**4 - k**2 + k**2 - k**4 - 3*k**4 + 2*k**4 + k**2 - 10*k**3 + 0*k**2 + 35*k**4 + 9*k**3.\nAnswer: 31*k**4 - k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2aa0c4 (base 13) in base 14?\nAnswer: -1d4ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.3414 or -15.8?\nAnswer: 2.3414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -223, 1, -38, -0.1, -1\/8?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 + j**2 - 6*j**3 - 26*j**2 - 7*j**2.\nAnswer: -6*j**3 - 45*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/60*5)\/(2\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = -8. Suppose -6 = -n - y, 0*y = -y + 1. Suppose -n + 1 = -4*d. Sort -4, t, d in decreasing order.\nAnswer: d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/1404495 and -47\/159.\nAnswer: 74438235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 1975?\nAnswer: -1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 2*t - 1. Let g be -2 + 1 - (-12 + 0). Suppose 3 - g = 4*b. Determine p(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = 2*r. What is the greatest common factor of 135 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t - 2. Suppose -59*z + 62 = -174. Put 7, t, -1\/3, z in ascending order.\nAnswer: t, -1\/3, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.165 - 0.035. What is the closest to 0.1 in -2, z, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474071 to the power of 1\/2, to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -449, 1, 2\/9, 1\/3, -4 in decreasing order.\nAnswer: 1, 1\/3, 2\/9, -4, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*o + 4, 5*w + 0*w = -o + 36. Suppose -5*u - 2*x = -10, -2*x + 6 = 4*u - 0*u. Suppose u*n + 344 = w*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 683.6021um?\nAnswer: 683602.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 - 89*w - 309. What is y(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2. Let w(z) = -2*z**2 - 9. Determine l(w(q)).\nAnswer: -28*q**4 - 252*q**2 - 567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m**2 + 6*m**2 + 6 - 9*m**2 + 2*m**2. What is w(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 2*d**3)*(-1 - 4 + 7) - 2*d**3 - 2 + 2 - 3*d**2 - 4*d**3 + 3*d**2 + 2*d**3 + 0*d**3 + 0*d**3 + (-4 + d**2 + 4)*(d - 2*d + 0*d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**4 - g**3 - g**2 - g + 1. Let x(s) = 215*s**4 - 2*s**3 - 2*s**2 - 2*s - 26. Let h(c) = -4*q(c) + 2*x(c). Find the first derivative of h(w) wrt w.\nAnswer: 1656*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**4 - 22*b**3 + 6*b**2 + 28*b - 16. Let y(i) = 13*i**4 + 43*i**3 - 11*i**2 - 54*i + 32. Let g(m) = 5*h(m) + 2*y(m). Find n, given that g(n) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*n + 116 + 160 = 0, -5*t = 3*n - 344. Let b be t\/114 + (-4)\/6. Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2*a**3\/3 + a**2\/2 - 5. What is the second derivative of z(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:04 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -139\/1834668?\nAnswer: -139\/1834668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h**2 - 52*h + 73. Let t(l) = -3*l**2 - 10*l + 15. Let y(i) = 11*t(i) - 2*x(i). What is y(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 3. Let a(g) = 9*g - 114. Let f(p) = -a(p) - 4*n(p). Let y be f(24). Solve -z + 3*z = -2*t + y, -4*t = -z + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 22*z - 43. Let b(t) = t**3 + t**2 - 4*t - 22. Let y be b(0). Is j(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102420, -0.04, -0.3, 13 in ascending order.\nAnswer: -0.3, -0.04, 13, 102420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:38 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11a (base 12) to base 16\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*i**3*z**3 + 7*i**2*z**3 - 8*i**2 + 2*i*z**3 wrt i?\nAnswer: -210*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-5))\/(((-2)\/1)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -707\/2 and -104792 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-10)*(2 + -72). Let q(l) = -l**2 + 12*l - 6. Let h be (-5 - -2)*20\/(-6). Let k be q(h). What is the greatest common divisor of k and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*k - 85*k + 1035924. What is the remainder when k is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*3*-5)\/(sqrt(98)*-1) - ((5 + -1*sqrt(637) + 5)*3)**2.\nAnswer: -6633 + 8835*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/4 + 747*w**3\/4 + 2223*w**2\/4 + 2217*w\/4 + 369\/2.\nAnswer: 3*(w + 1)**3*(w + 246)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307418446?\nAnswer: 2, 17, 47, 192377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 21*d - 198. Let z be n(-10). Let w = -187 - z. Let f = -7 - -2. Put f, w, -5\/4 in increasing order.\nAnswer: f, -5\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -2 - -1*19. Suppose -4*n + 65 - 22 = 3*q, 2*n = -4*q + 74. Suppose 255 = 18*y + q. Solve -5*j + 16 + y = 3*f, 2*j + 4*f = o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = 4*u. Let h be ((-364)\/104)\/(7\/(-6)). Solve -h*r - u*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4 + 54*j**3 + 4*j**2 + 64*j.\nAnswer: 72*j + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -331754*h**3 + 163960*h**2?\nAnswer: -1990524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1\/2, -7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 2212 - 1105 - 1107.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - -0.03. What is the biggest value in 5\/2, r, 3\/2, 0.4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -15\/4, 5, -2 in increasing order.\nAnswer: -15\/4, -2, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z**(-13)\/z)\/z)*z**(-8\/9)\/z*z**(-2\/31)\/((z\/(z\/z**2))\/z) assuming z is positive.\nAnswer: z**(3640\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/5? (a) -4 (b) 2 (c) 27\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2707475 (base 9) to base 12.\nAnswer: -5b5588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, u: 15}. Give prob of picking 1 u and 2 k.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -9*z**4\/10 - 2*z**3 + 32*z**2\/5 - 24*z\/5 - 58. Let i(y) = 0. Calculate y.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 182 - 28. Calculate the greatest common factor of 210 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -828, -1481, -2136, -2793, -3452, -4113?\n\"Answer: -u**2 - 650*u - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*d*i**3 + d*i**2 + 1412*d*i wrt i.\nAnswer: -660*d*i + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 3*n - 6. Let g be o(-5). Suppose -g*t + 5*t + 20*t = 0. Solve 0 = -5*q - 2*i - 23, t*q = 2*q - 2*i + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 + 20*x**2 + 22*x + 1. Let c = -34048 + 34047. Determine a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d = 113542 + 38119. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + u + 52 + 49.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/4 and -79\/946.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7 + 11*h - 7. What is the lowest common multiple of 10 and x(1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.41 + -10.41. Let v = 7804\/11 - 710. Which is the closest to 2\/3? (a) v (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282 and 987?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 25, 46, 87, 154?\n\"Answer: d**3 + d**2 - 3*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345543 is divided by 56?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 94 * -0.2\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-81))\/(28\/(-24))*(-3)\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1532244 and 104748.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 3*j - 5, 61466*w - 61471*w - 3 = -2*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-42) + (-2)\/(-12). Solve 4*a - g + n = 0, a - 15 = -4*a - 2*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 126*l - 43. Calculate the remainder when q(2) is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 18. Let x be 495\/30 + -15 - (-135)\/20*-6. Sort k, 1, x in descending order.\nAnswer: k, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 - 7*s + 1. Suppose -60*g = -56*g + 3*v - 8, -g = 5*v - 36. Let j(h) = 4*h**2 - 6*h + 1. Give g*j(i) + 3*o(i).\nAnswer: -i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 43 = -5*c, -d + 6*d = 3*c - 32. Let s be 6\/c*-3 + 4. Suppose 58 = -0*v + s*v. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r + 10 - 2\/5*r**3 + 22\/5*r**2.\nAnswer: -2*(r - 5)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:00 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*(-665)\/(-19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 10341*v + 11072258. Give u(1213).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r. Let u(q) = 2*q**4 + 46*q**3 + 214*q**2 + 314*q + 144. Let n(g) = -2*u(g) - 36*y(g). Factor n(d).\nAnswer: -4*(d + 1)*(d + 2)**2*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62037 and 15473655?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p + 310. Determine w(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*i = 579*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 865*v = -868*v + 11, -5*k - 20 = -3*v. Suppose -4*o + 10 = 2*d, -1 = -6*d + d + 2*o. Is 8 a factor of (-108 - -5)*k*(0 + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(2 + -2))\/1. Is r less than -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 14*c - 99. Calculate d(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 + 316. Suppose 92 = 32*z - x. Solve -4*s + 4 = 5*l + 22, -5*s - z = -l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {x: 10, j: 8, v: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(-4*sqrt(125) + 5 + -5 + sqrt(125) + 1)**2.\nAnswer: -16890 + 450*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 406968 - 5?\nAnswer: 406963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 - 104. What is the units 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 63898?\nAnswer: 2, 43, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6369632, 6369645, 6369660, 6369677?\n\"Answer: n**2 + 10*n + 6369621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c. Let s(i) be the first derivative of -6 + 0*i - 1\/2*i**2. What is s(l(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - 1 - ((-348)\/(-32) + -2) and 23\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:25 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10411 is divided by 861.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 1. Let f be o(-1). Suppose 5*j - j = 3*i + 35, 5*i + 13 = j. Let r = 0 + j. What is the highest common factor of r and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14600 and 884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 4*x = -40. Suppose -x*l = 2*r - 16, 0 = 3*r - r + l - 7. Solve r*k = 7*k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213 - 1535?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165524, 329705, 493886?\nAnswer: 658067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 13)\/(1 - (-2)\/(-4)). Suppose n + z - g = 0, 8 + 7 = 3*z. Suppose 8\/3*u**n - 8\/3*u**4 - 2*u**5 + 0 + 0*u**2 + 0*u = 0. What is u?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10 + (-98)\/((-36750)\/275)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, d: 4, h: 5}. Give prob of picking 2 t.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 4886*v**3 + 5794789*v**2 + 423762780*v + 7522092900.\nAnswer: (v - 2478)**2*(v + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4 = 3*q, -4*q - 391*h + 393*h - 8 + 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.3641 + -0.3641. Let v be -5*(4 - 2058\/515). What is the nearest to -0.1 in v, 0.1, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -2\/7 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 234646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 58. Let u = -174 + 86. Let d = -85 - u. Solve -d*h + 5*h = -g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22126 (base 7) to base 16.\nAnswer: 15b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.5 (b) 5 (c) -11204.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/7 in -51\/11, -0.48, 4\/17?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.5 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 21*w**3 + 4. Let p(q) = -22*q**3 + q**2 - 5. Give -2*p(t) - 3*z(t).\nAnswer: -19*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7 - 2 + 6 + 2*j. Let q be y(5). Solve -2*i - 3 = -f + q, 3*f - 3 = -3*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcrrqrrjr. Give prob of picking 2 j and 1 c.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t = -132*t. Solve 0*r + 1\/8*r**3 + t - 5\/8*r**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14399?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200*c**3 + 4*c**2 + 82*c?\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**3 + 3*l**2 + 131*l - 111. Let t(b) = -7*b**3 - 2*b**2 - 130*b + 112. Let o(n) = -3*t(n) - 2*z(n). Differentiate o(a) wrt a.\nAnswer: 3*a**2 + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -s + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*z**6 - 2*z**4 + 2*z**3 - 3*z**2 - 2036*z.\nAnswer: -1200*z**3 - 48*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/53 - -2372\/1113. Let g(q) = 861*q + 7. Let z be g(-3). Let j = -54113\/21 - z. Calculate the common denominator of j and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.9 + 10.3. Let c = 3.39921 - y. What is c rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188\/(-94) + ((-252)\/39)\/(-3)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:04 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2208 is divided by 111.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 6*n**2 - 6*n - 2. Let k be o(-6). Let s = k - 34. Suppose 4*m - 3*q + 85 = -0*m, s = 4*m + 5*q + 125. Is -25 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -685, -5 in descending order.\nAnswer: -5, -78, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37*(1\/3)\/(42\/2898*-23)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a hour?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47728 + 4486525\/94. What is the common denominator of -151\/564 and a?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + j = 512, 5*j = -4*f - 186 + 604. What is the remainder when f is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 161*m - 474 = 0.\nAnswer: 3, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 136 = y. What is the greatest common divisor of 136 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 793.6235t to grams.\nAnswer: 793623500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.62 - 0.656. Let z = -0.03600042 - v. Round z to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.3 - -15.23. Which is the closest to 0? (a) k (b) 0.4 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -577088101*m**4 + 724829656*m wrt m?\nAnswer: -6925057212*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -2*(3 - (-30)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 3:36 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1243\/(-113)*144\/(-66).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 1236.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {l: 6, x: 1, y: 4, a: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139096.\nAnswer: 2, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -26*x**2 - 7*x + 4. Let w(k) = 53*k**2 + 13*k - 7. Let m(n) = 7*r(n) + 4*w(n). Find the second derivative of m(s) wrt s.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -56*y**2. Let l(x) = -5*x**2. Calculate l(a(m)).\nAnswer: -15680*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/32 + 5 + 34\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 - (-160)\/25 - (-272)\/(-30) and (-4)\/2 + (-162)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-25) + 332886\/5450. Solve 5 = 14*l + v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -34*s - 743. Let v be u(-22). Solve -4*i = 5*p + 5, -v = i - 3*p + 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 44 + -29 + (3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/3)\/u)**(-44))**(-16\/9) assuming u is positive.\nAnswer: u**(704\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 71\/9 (c) 2\/17 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 5*m + 14 - 16)*(-2*m**3 - m**3 + m**3) to the form c*m**2 + x*m + q + d*m**4 + k*m**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s. Let z(u) = 3317*u. Give f(z(o)).\nAnswer: -66340*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q - 35. What is the least common multiple of 847 and b(14)?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (47 - 49) + 0 + 182. Suppose 11*m - x - 73 = 0. Suppose -28 - 12 = -5*s. Calculate the remainder when m is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279*w + 69*w - 166*w)*(5*w - 3*w - w).\nAnswer: -376*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-215)\/50 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 7*f**2 + 6*f. Let i be s(6). Let q = i - 1. Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 4 = 9*m. Let x = m + 14. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 20*b - 77. Determine o(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132101230 (base 6) to base 4.\nAnswer: 300130032102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.428604 * -0.5.\nAnswer: -0.214302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 33*q + 3941. Calculate the remainder when 6860 is divided by o(-118).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8505 times 5.6?\nAnswer: -47628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 13. What are the prime factors of y(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 3708?\nAnswer: 55620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.5, -4, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -2. Let o = 339\/860 - -1\/172. What is the third smallest value in o, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4))**3\/((b**(2\/23)*b*b**(-4\/7)*b)\/((b\/b**(-2\/7))\/(b*b*b**0*b*b))) assuming b is positive.\nAnswer: b**(-1275\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round 3699.8923 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 612969150 - 6722991097\/11. Let d = w + -1785319. Let m = 929593\/330 - d. Find the common denominator of m and -89\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 14065 = -19*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 - (3 - 27 - -4 - 11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**3 + 6*x**2 + x + 6. Let s(r) = -r**3 - r**2 - r - 1. Calculate b(q) + 6*s(q).\nAnswer: 2*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3)\/((-3)\/12). Let c(p) = -1 + 7*p + 2*p + p**2 - m*p + 7. Determine c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3671\/30 - -1843\/15. Sort c, 1\/6, -10.9 in descending order.\nAnswer: c, 1\/6, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + -3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 498259.8 micrograms?\nAnswer: 0.0004982598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 divided by -18.\nAnswer: 425\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 - 21 = 0. Suppose -5*w + 20 = -0*w, -w - f = -2*d. Suppose -d*o + k + 2 = 5*k, 3*o - 2 = -2*k. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 41 = -4*s - 4*h, 3*s - 5*h = 22. Do s and 170\/19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 2*u - 5. Let y be (6\/(-12))\/(1\/(-8)). Let r be f(y). Is ((-97)\/r)\/((-3)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 10*s + 4, 19*n + 2*s = 16*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from {y: 4, h: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -13. Let y be 2 + (-2)\/(-2) - k. Suppose 0 = -y*n - 4 + 10. Which is the second biggest value? (a) -3 (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 564781*p**4 - 711*p - 198 wrt p.\nAnswer: 6777372*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011101 - -10?\nAnswer: -111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + -72 + 49 + -30?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, d: 2, q: 2, y: 5, g: 2, v: 1}. Give prob of picking 1 v, 1 s, and 1 y.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + -85. Suppose 193 - a = 2*h. Calculate the common denominator of 39\/8 and 0 + h\/(-56) - -2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b**4 - 1\/5*b**5 + 0*b - 1\/56*b**8 + 0*b**6 + b**2 + 0*b**7 + 0*b**3 + 0. What is the third derivative of v(h) wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(99) + 1 - sqrt(99)) - sqrt(99)) + 3 + -1*sqrt(99).\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 547. What are the prime factors of l?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 2*q. Let o be l(0). Suppose -2*c + 866 + 1236 = o. List the prime factors of c.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2\/3 + 6152*b\/3 - 6164 = 0. Calculate b.\nAnswer: -1541, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12373751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7014 by -21.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5770 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930070 is divided by 310021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -102471.7329 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240832380 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 5, 0.07, 0.5, -67?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**5\/210 + 2*d**4\/21 - 16*d**3\/21 - 3*d**2 - 4. Let i(y) be the second derivative of l(y). Let i(f) = 0. What is f?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 16\/(-6))*(-13 + 16). Solve -3*m + 20 = p*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 27 = -4*s, s - 5*s + 24 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*a + 168*a = 88*a + 2265 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 482, 926, 1546, 2342?\nAnswer: 3314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -968*25031\nAnswer: -24230008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5\/4, 6, 0.2, 2\/7, 2.5 in descending order.\nAnswer: 6, 2.5, 2\/7, 0.2, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -13*n - 33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-2 - -3*(sqrt(57)\/sqrt(3))**2) + sqrt(152)\/(sqrt(200) - (5*sqrt(200) + sqrt(200))).\nAnswer: -451*sqrt(19)\/25 + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 331*x. Let y(s) = 11*s - 36. Let v(w) = 5*w - 16. Let p(f) = 9*v(f) - 4*y(f). Determine p(b(k)).\nAnswer: 331*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -2*n**2 - 4*n - 58 + 2\/3*n**3. Let r = 6 + -2. Give u(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73285730863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, 276, 9, 4, -10 in ascending order.\nAnswer: -10, -1, 0, 2, 4, 9, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*38\/((-6)\/(-3)). Suppose 0 = 15*v - m - 888. Let u = 109 - v. Calculate the greatest common divisor of u and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.9 and -14048.948.\nAnswer: -14045.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 377.9 + -375.9. Let g = 154\/15 - 32\/3. Sort a, 1, g, -5.\nAnswer: -5, g, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 plus -0.0301?\nAnswer: 91.9699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 w, and 1 o when four letters picked without replacement from wwrrowwrwwwowrwrwwr.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v = -55*v - 80*v + 1045 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1272, 2188, 3102, 4014, 4924?\nAnswer: 5832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 70\/123 - -4\/41. Let z = 74875\/7 - 10696. What is the second smallest value in z, r, -14?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12161, -1, 2, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-4 - (-12 + 7)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5 + 71\/2*v**4 - 18*v**2 - 37\/2*v**3 + 0 + 0*v = 0.\nAnswer: -36, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of -13 + 10 + ((-624)\/2)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 14*d + 5. Let y be 7\/35 + (-2)\/10. Suppose v - 6 - 6 = y. Calculate the remainder when i(v) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995827503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = 5*u - 11*d - 10, 0 = 2*u - 3*d - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6226 and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-398 - 2)\/((-2)\/760). Round s to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4302\/27*9\/2. What is the common denominator of -1 + k\/280 - 4\/10 and 39\/22?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -128*h + 25. Let j = -19 + 25. Let k be v(j). Let q = k - -1532. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzz when three letters picked without replacement from {z: 2, e: 1, y: 9, n: 7}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 1.86\nAnswer: -57.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5549513283 take away -25?\nAnswer: -5549513258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 8:05 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*s + 47*s + 2125 - 1492 - 1928 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-3)\/3)\/(7*(-51)\/119).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56955 is divided by 14213?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -616.\nAnswer: -616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 36 = 0. Solve 0 = 5*c + 3 - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 10. Suppose j*u - 55 = 3*v, 4*u = -v + 101 + 44. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, 1 o, and 1 h when four letters picked without replacement from ofhehoo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -38. Let m = a + 3. Solve 21 = -4*j + m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*m = 13 + 4, 2*m = 4*a - 26. Suppose 44 = -k + a*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 1 - (241 - 236)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 4 (b) 0 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**4 + 2*q**3 - q**2 - 2*q. Let p(a) = 13*a**4 + 9*a**3 - 3*a**2 - 8*a. Let d(z) = 9*j(z) - 2*p(z). Factor d(n).\nAnswer: n*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + y, 0 = 2*c + 5*y + 13. What is the smallest value in -2, 3, 1\/15, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -19\/5 (b) -2 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**2 - 29*b**2 - 115 + 30 wrt b.\nAnswer: -50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 19*t - 779. Give x(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 30 = 3*f, -d = 4*f + 6267 - 6264 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 4*s + 3. Let l(t) = -t**3 + 9*t**2 + 10*t - 1. Let j be l(10). Let d be w(j). Differentiate d*r**3 - 510 - 6*r**3 + 522 with respect to r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31789 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y + 986*y**2 - 1001*y**2 + 14*y.\nAnswer: -15*y**2 + 59*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(3) + 0 + sqrt(3))**2) + -4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4517173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p. Suppose 0 = 3*b + 9, 3*z = b + 3 + 6. Let l(a) = -2*a + 0 + p*a**2 - a**z + 4 + 0*a. Determine l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:48 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.4 (c) 4 (d) -20 (e) 2\/7 (f) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3615984, -11, 1\/6 in ascending order.\nAnswer: -3615984, -11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -126, 132, 392, 654?\n\"Answer: s**2 + 255*s - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(o - 5*o + 0*o)*(-3*o**2 + o**3 + 3*o**2).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50073 is divided by 496.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3 + 3)*(5*u - 2*u - 5*u)*(572 - 1136 + 567 - 7019*u**2).\nAnswer: 14038*u**4 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/26439 and 26\/7429359.\nAnswer: 7429359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {w: 1, l: 1, n: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3312.57 (b) -1\/206 (c) 2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -2\/11, -15\/4, -2\/139?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/((n*(n\/(n*n**6\/n*n))\/n)\/n*n)*(n**(-2\/3)\/n)\/((n**(-6)\/n*n)\/n))**(-18\/5) assuming n is positive.\nAnswer: n**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*v**2 + 701*v**2 + 77*v**2 + 2951*v**4 wrt v.\nAnswer: 70824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.05 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80b + -36?\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-4)*1\/(-3)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -417, -0.2, -1.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -608, -899, -1190, -1481, -1772?\nAnswer: -2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 2 - (-14 + (8 - 2)). Suppose 5*z - g = 3632, a*z - z = 2*g + 3634. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**3 + 0*c**3 + 2*c**2)*(0*c - 3*c + 2*c)*(0*c - 3*c + 0*c) + 6*c**2 + 9*c**5 - 6*c**2.\nAnswer: 6*c**5 + 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 82*m**3 - 1044*m**2 + 5400*m - 9936.\nAnswer: -2*(m - 23)*(m - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278050 and 498.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25524041 + -3?\nAnswer: 25524034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 4 = -2*z + 17*x, -5*z = -4*x - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/21*(13664\/9760)\/((-1)\/(-1))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 45*u - 314*u - 3069 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 72*r**2 + 27*r + 175. What is the lowest common multiple of c(-35) and 40?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9935?\nAnswer: 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28163, -57339, -86515, -115691, -144867?\n\"Answer: -29176*u + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 36 + 2743*a - 29 + 81 - 2750*a. Determine s(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11687.4 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*y**2)*(3 - 3 - y**3) + (20 + 8*y - 20)*(29*y + 5*y**4 - 29*y).\nAnswer: 38*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 5, q: 4}. Give prob of picking 3 k and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 13*v + 5. Let i be h(-14). Let w = 22 + i. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 24*w**3 + 5*w**2 + 4384*w + 8765. Determine g(-2).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*(4 - 81\/21)*506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-4076)\/(-7))*7 + 4\/1 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79409 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -12*n. Solve n = -b + 4*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4)\/(((-126)\/864)\/(18\/(-108)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 18*h**2 - 13*h - 58. Let b be n(-20). Let m = b + 694. Let l(u) = -u**2 - 6*u - 4. Calculate the least common multiple of m and l(-4).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*k - 8 = 7, -2*k = -2. Let q = -19 + 14. Is q less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43012 - -3?\nAnswer: -43004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let z = w - -0.93. Let a = 0.0699872 + z. Round a to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1752*d - 1755*d + 8783*d - 1760*d - 1761*d - 1753*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3244546?\nAnswer: 2, 1622273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssrrksssksss. Give prob of sequence rr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**5 - 2*b**5 + 8*b**2 - 2*b**5 - 2*b**6 wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5 + 3*o**2 + 3*o + o**3 - 2*o**2 + o**2. Let d(s) = 2*s - 1 + 3*s**2 - s**2 + 5. Let c be (2\/(-12)*-4)\/((-10)\/(-30)). Calculate c*w(q) - 3*d(q).\nAnswer: 2*q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -27 + 75. Let r(w) = 8*w**3 - 4. Let i(f) = -23*f**3 + 11. What is l*i(t) - 8*r(t)?\nAnswer: 5*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*n + 30 = 0, 2*o - n + 22 = -o. Let s be o\/((-42)\/(-8))*-3. Solve -x - 15 = s*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -263569\/110 + 2396. Let g = i + -1\/10. What is the nearest to -1\/4 in 1, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -214 (b) 2 (c) -3\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 680 = -5*x, -5*q + 33 = x - 115. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.17624\nAnswer: -0.052872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 493185296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u**3 + u - 12. Let x(o) = -9*o**3 - o**2 + o - 11. Let n(h) = -5*q(h) + 6*x(h). Calculate n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.1 - 9.1. Let y = 70 + -63.9. Let b = y - c. What is the nearest to b in -3, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -286, -572, -856, -1138, -1418, -1696?\n\"Answer: y**2 - 289*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/2 - 39129*p**3\/2 + 195667*p**2\/2 - 117411*p\/2 - 176103 = 0. What is p?\nAnswer: -39134, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1149 * 15274\nAnswer: -1754.9826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*o**2*s**4 + o**2*s**2 - 2*o*s + 50*s**2 wrt s?\nAnswer: 96*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/2)\/(((-27)\/72)\/((-30)\/40)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 - 2. Let s be p(2). Suppose 3570000 = s*a - 3*a. Round a to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 4. Let q(n) = 2*n - 3. Let m(i) = -5*q(i) + 4*v(i). Suppose 0 = -5*z + d - 8, 2*z + 2*d = 4 - 0. Determine m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112 + -4131763?\nAnswer: -4131651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjvv when four letters picked without replacement from vvvjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 4, 5, 0.77.\nAnswer: -2, 0.2, 0.77, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-36))\/((-65)\/(-78)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4 (c) -1\/2552 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003541057878 rounded to 7 decimal places?\nAnswer: -0.0003541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(0 - 1) - (1 - 5). Suppose f*u - 17 = -2*u + 4*y, 0 = -4*y - 12. Solve 0*i + 3*n + u = 2*i, -3*i + 4 = -2*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/73 and -25\/657?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15285573.\nAnswer: 3, 31, 54787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 50.0127. Round l to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 209\/2 (b) 8\/25 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243127 or -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8118, 16232, 24346, 32460?\n\"Answer: 8114*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 302*r - 4684. Determine i(17).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1449875?\nAnswer: 15948625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15413742 a multiple of 886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from momooov. Give prob of picking 1 v and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(405)*-2*-3 + (sqrt(405) - ((sqrt(405) - (sqrt(405) + 1)) + -5)) - (1*sqrt(405)*-1 + sqrt(405) + 5 + -1 + sqrt(405)))*4 + -4)**2.\nAnswer: 114048*sqrt(5) + 8400016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 0 (c) 9816.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44484 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdhdxhwddhhwd. Give prob of sequence hhxx.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h - 4*h**4 + 6*h + (3*h**3 - 2*h**3 + 0*h**3)*(4 + 2*h - 4) - h**4 - h + h + (6*h + 6 - 6)*(0*h**3 + h**3 - 4*h**3).\nAnswer: -21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(24)\/sqrt(8)*-5).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Convert 0.7324775 weeks to hours.\nAnswer: 123.05622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 41 - 11 - 4*g**3 - 19.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.75 and -0.2.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/(f**1\/f))**(-1\/18)*(f\/(f*f*f**(-2))*f**(-2))**(2\/21) assuming f is positive.\nAnswer: f**(-47\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 + 254*y - 254*y - 6*y**2.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 796*d**2*r**2*y**3 + 3*d**2*r*y**3 + 2*d**2*r + 4*d**2 - r**2*y**3 + 2*y**3 wrt r.\nAnswer: 1592*d**2*y**3 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7273, -7300, -7341, -7396, -7465?\n\"Answer: -7*h**2 - 6*h - 7260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42744070 (base 8) to base 5\nAnswer: -4321121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. Suppose 4 = -0*c - c, -11 = -3*o + i*c. Let m = 12 + -10. What is the remainder when m is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 2*a + a - 14, 0 = 4*u + 2*a - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2895\/1621 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-12) - ((-24)\/(-9) + 0). What is the third biggest value in 22\/9, y, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14239 * -7.2\nAnswer: -102520.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 376021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3190750363.\nAnswer: 61, 131, 227, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 615.9997808 + -616. What is p rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**2 + 6*y + 3. Let l(s) = s**2 + s + 1. Give -i(x) + 6*l(x).\nAnswer: -4*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3649099967?\nAnswer: 19, 192057893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 2, o: 1}. What is prob of sequence ee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 36. Let k be h(12). Suppose -4*z + 3*l + 32 = k, -z + 2*l + 6 + 2 = 0. What is the remainder when 38 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -7906.\nAnswer: 2371.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -217054 (base 13) to base 9\nAnswer: -1428004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = -14. Suppose 3*n = n + 3*g + 6, -2 = -2*n + g. Suppose t*o + n*o - 216 = 0. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972158189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31896294, 31896296, 31896298, 31896300, 31896302?\nAnswer: 31896304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + -0.37. Which is the second biggest value? (a) -0.5 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -542\/32643 + -903343163\/65286. Let q = v - -13842. Let h = -26974 - -647225\/24. Calculate the common denominator of h and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 7*d - 21*d - 30 = 158, 0 = -91*p + 96*p + 3*d + 52 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183530309?\nAnswer: 41, 769, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 733, 1106, 1479, 1852, 2225, 2598?\n\"Answer: 373*h + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**6\/20 - c**4\/24 - c**3\/3 + 9*c**2. Let i be g(-2). Let o = i + -31. Calculate the remainder when 31 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 3 - 5)*(-6*k + 5*k - k)*(2 + 0 - 1)*(2 - 5 - 14).\nAnswer: -646*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1072 + 1797. Calculate the remainder when i is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -4*w + 18*m + 83, -4*w - 4*m + 104 = 0. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 8)*(-2*v + 2*v - 2*v + (-4 + 2 + 1)*(v + 0*v + v) - 3 + v + 3).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -515*m**6\/6 - 4*m**3\/3 + 6*m + 42. What is the third derivative of p(h) wrt h?\nAnswer: -30900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 2287*s**2\/2 - 1897*s + 1865. Find the first derivative of x(l) wrt l.\nAnswer: 2287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000580012742 rounded to 7 decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-145)\/434 - 98\/(-343). Let p = 586662 + -109119389\/186. Let f = z - p. What is the fourth smallest value in 0.5, -1, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 19*b - 7. Suppose 27 = -7*f - 36. Let v be l(f). What is the derivative of 2*s**2 + 37 + 29*s**3 - v*s**2 - 14 wrt s?\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -48*g**3 + g**2 + 2*g - 6. Determine q(-2).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1561, -1673, -1785?\n\"Answer: -112*i - 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 minus -18.007?\nAnswer: 73.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 68, 2, -1\/2, -2, -1137?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 11*y + 13*y = 24, -4*j + 28 = 4*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11856.395 rounded to the nearest ten?\nAnswer: -11860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 16*r + 21. Give y(12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Suppose p = v - 3. Suppose 2*h + 14 = v*h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2715 + 8572. Suppose 9*c = a + 2090. Suppose -18*k = -611 - c. What are the prime factors of k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -93\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 31 = 3*c - 0*c, 4*h - 57 = 5*c. Calculate the smallest common multiple of 9 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 1, e: 3, l: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p**2 - 1073*p + 381. Calculate z(-77).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2\/23)*o*(o**(-7\/3)*o)\/o*(o*o**(-18\/7)*o)\/(o*o\/o**(-6\/5)))**(-29) assuming o is positive.\nAnswer: o**(211352\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 3*n**2 + 332*n + 1345. Determine q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(175) + -6*(sqrt(7) + sqrt(7) + sqrt(112) + sqrt(7)).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10*o**2 - 61*o + 9. Let g be j(6). Is g bigger than 17\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196793 is divided by 732070.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/3)*j\/((j*j**3)\/j)*j**(2\/9)\/j*j\/(j\/(j**4\/j))*(j*j*j**(3\/4)\/j*j**(-2\/11))\/((j*j*j**(2\/5))\/(j**3*j*j)) assuming j is positive.\nAnswer: j**(9353\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 112. Let d = -90756 - -90921. Calculate the highest common divisor of d and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24162 is divided by 3253?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 599616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3)*(-4)\/(-12)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10048326.\nAnswer: 2, 3, 17, 29, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 999\/290 + -39\/29. Let s = 6 - 2. Calculate the common denominator of (4\/(-42))\/(s\/93) and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a millennium?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.46 in 3.5, -0.1, -0.016?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 3*w**4\/8 - 43*w**3\/4 + 15*w**2\/2 + 63*w\/4 + 200. Factor y(a).\nAnswer: 3*(a - 21)*(a - 1)*(2*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose -a = -r*t - 6, 2*a = 2*t + 22 - 0. Suppose 21 - 141 = -4*g. Calculate the remainder when g is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.3*12\nAnswer: -303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let s(f) = -f**2 - 4*f + 4. Let t be s(q). Let z be t\/2 - (-5)\/10. Solve z*x + 4*x - 36 = 4*d, 0 = -2*x + 3*d + 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {j: 2, k: 2, y: 1, d: 3, x: 2, n: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 808 + -777. Calculate the remainder when 112 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 10 = 2*s - 2*u, 5*u + 25 = 5*s. Is -2\/1811 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6. Let q be 2 + 0 + 1\/s. Is (-1*q)\/(2\/(-98)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/6 - j - 183. Let g(v) be the first derivative of -4*v**2 + 58. Give o(g(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4 - (-65)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 6*p**2 - 7. Let y(q) = -q**3 - 7*q**2 + 8. Let v(b) = 5*w(b) + 4*y(b). Let t be v(3). Let z = t + -16. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 + 117*c**2. Let b(u) = 9*u**3 + 236*u**2. Calculate 6*b(s) - 13*q(s).\nAnswer: 2*s**3 - 105*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864349289 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10) + (-68)\/60)*(-4)\/(-8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567\/4 at least -1710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.405068mg in tonnes?\nAnswer: 0.000000008405068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 175 = -281. Let o = 272 + i. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:56 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**4 - 530749*l**2 + 316076*l - 2.\nAnswer: 36*l**2 - 1061498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 99*w**2 + 52*w + 130. Calculate the least common multiple of 2116 and s(50).\nAnswer: 10580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96537.\nAnswer: 3, 7, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 11*l**2 - 125*l\/4 + 41\/2.\nAnswer: -(l - 41)*(l - 2)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 - 205 - 26)*(-r + 6*r - 3*r).\nAnswer: -604*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:43 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 47. Let f = -73 - -151. Let n = f - s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9346 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 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: Let v(x) = x**2 + 5*x + 6. Let h(n) = n**2. Let c be h(-1). Let a be 11 + -14 + -3 + c. Determine v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3532*n**4\/5 + 1137298*n**3\/5 + 452416*n**2 + 1126394*n\/5 - 384 = 0.\nAnswer: -320, -1, 3\/1766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 3. Let h be w(0). Suppose u + x - 4 - 26 = 0, -3*x = -6. Suppose -u = -h*l - l. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1459*d = 23248 - 113706 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 6 - 8 + 6*g**4 + 4*g**2 - 4*g**2 - 2*g**3 as i*g**2 + q*g + v*g**4 + r*g**3 + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -97*l**2 - 2*l. Let g be c(-1). Let n = 155 + g. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 28*c - 11. Calculate w(-9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -745\/55711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.25, -3\/4, -35139?\nAnswer: -35139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1028.\nAnswer: 3\/1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9112 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2029301 equal to -2029300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 160776786*x. Let q(a) = -2*a**2. What is q(m(y))?\nAnswer: -51698349832979592*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/10)\/(2\/(-20)). Let p = l + 5. Let c(m) = -m**3 - m**2 + m + 11. What are the prime factors of c(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k**2 - 9*k + 12. Give d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:16 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 246*a + 5644. Calculate j(-22).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7316362, -7316367, -7316372, -7316377, -7316382?\n\"Answer: -5*y - 7316357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - u**5 + 6*u**5 + (2 + 0 + 1)*(-3*u**3 + 5*u**3 - u**3)*(-1 + 1 - 2*u**2).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 5. Let s be v(-6). Let o = -24 + 37. Is s < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/120 - r**5\/60 + r**4\/24 + r**3\/6 - 217*r**2. Let s(w) = 5*w**3 - 1 + w**2 + 4*w - 6*w - 1. Calculate 2*q(b) + s(b).\nAnswer: 3*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + 11 - 19) + (5 - (1 - 3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1053, -1058, -1065, -1074, -1085, -1098, -1113?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -174 and -7533211.\nAnswer: -7533385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 119*m**2 + 60*m - 6. Determine i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:13 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 - -4. Let k = -4.236327 + 0.236327. What is the closest to q in -0.3, 3\/2, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3417176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 - 2. Let p(y) = -y**2 - 9*y - 5. Let j be p(-6). Suppose 3*d - 1 = -j. Does 21 divide b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5250 is divided by 5246.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -23*j**2 - 2*j - 4. Let y(w) = 34*w**2 + 3*w + 6. Let h(s) = -3*v(s) - 2*y(s). Let c(t) = -7*t**2 + 58*t. Determine -c(x) - 5*h(x).\nAnswer: 2*x**2 - 58*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 1. Let u(t) = t**2 - t + 9. Let w(n) = u(n) - 4*z(n). Suppose 7*d - 5*d = -16. Let p(g) = -2*g**2 - 2. Calculate d*p(v) - 3*w(v).\nAnswer: v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**2\/2 - 8*b - 1. Let o be f(-7). Which is smaller: -3\/8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300442.883 rounded to the nearest 10?\nAnswer: -300440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -33*l + 6104. Let z = -426 + l. What are the prime factors of z?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -48, -179, -436, -861?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 7, b: 2, q: 3, u: 3, z: 1}. Give prob of picking 2 q, 1 s, and 1 z.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*y**3 + 107 - 107 + (1 + 2*y - 1)*(-2*y**2 + 4*y**2 - y**2) + y**3 + 0*y**3 + 2*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113843544.\nAnswer: 2, 3, 599, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 8717*x**5\/5 - x**3\/3 + 5241*x**2\/2 + 7657. Find the third derivative of f(d) wrt d.\nAnswer: 209208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248522661 + 538112.\nAnswer: -247984549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, 3.357, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78599 is divided by 136.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/112 in -2\/7, -0.3, -2, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212865, -2, -3, -5, 5 in decreasing order.\nAnswer: 5, -2, -3, -5, -212865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -9) + (-4 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 9}. What is prob of sequence btb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11654810.\nAnswer: 2, 5, 29, 40189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56.3 + -56.2. Which is the second biggest value? (a) 5 (b) t (c) -0.2 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/1882 at most -1\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421880.\nAnswer: 2, 5, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-12)\/(-18))\/(8*3)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 - 7*i**3 + 2*i + 16*i**3 - i**2 to p + f*i**2 + y*i**3 + u*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s + 36*s = -168. Calculate the greatest common divisor of s and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*h**3*m**3 + 59*h**3*m**2 - 1257*h*m**3 - 1336*h*m wrt m.\nAnswer: -690*h**3 - 7542*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1715 + 1715.4. Which is the nearest to 1? (a) -0.2 (b) v (c) 1 (d) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -532 - -536. Solve -4 = f - 3*c, 0 = -4*f - w*c + 33 - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -0.31. Let o = j + -0.15. Let y = 2.89 + o. Sort y, 1, 0.7.\nAnswer: 0.7, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 6. Let a(r) = -4*r**2 - 13*r. What is a(p(q))?\nAnswer: -4*q**2 - 61*q - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*p + 9, 3*x + 2 = -p - 1. Suppose x = -4*j - 4*y + 28056, 3*j + 4*y + 5657 - 26694 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*t - 2*p, -6*p = -4*t - 277 + 263 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8909.3 rounded to the nearest one hundred?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1539) + 6*(sqrt(1539) - sqrt(1539)*2))*-6)**2.\nAnswer: -2160*sqrt(19) + 1385116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*j = 749*j - 1276 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 1, -2*q + 0*q + 2*u = 0. Let l be 6 - q*(-5 - -6). Suppose 12*d = l*d + 115. What is the greatest common factor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (-1 - -5 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - l + 5 - 28 = 0, 125 = 5*p + 5*l. Suppose -p = -3*h + 33. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 + 17*a - 13. Calculate the remainder when 23 is divided by g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -93 (b) -316 (c) -0.162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 - z - 7. Let b be m(0). Let h = 8 + b. Let a = 6 - -4. Calculate the lowest common multiple of h and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 16 + 294287*m + 16 - 23. Let a be l(-7). Round a to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -61. What is the remainder when (5 + 2 + -62)\/(-1 - 0) is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -2\/9, 0.07, 4\/3 in descending order.\nAnswer: 4\/3, 0.07, 0, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25905940 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70 - 1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 r when three letters picked without replacement from {r: 2, w: 3, l: 2, n: 3, h: 7}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3601 and 26869.\nAnswer: 349297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 0 + -3 + 2. Suppose x - 93 = 4*m, -4*x + 72 + 248 = -d*m. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 8b616?\nAnswer: 8b617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 979783716.316 - -0.061.\nAnswer: 979783716.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 13*q**5\/10 + 25*q**4\/12 + 12*q. What is the third derivative of i(y) wrt y?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 3 (c) 157687 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44175124 to 4 decimal places.\nAnswer: -0.4418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85\/8 - 113\/8. Which is the nearest to 0? (a) -1 (b) p (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.1 - 25. Let o be ((-7)\/(-14))\/(25\/(-30)). Which is the closest to -2\/3? (a) -6 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -386.2799 and -3710.\nAnswer: -4096.2799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 34*p**2 + 4. Let t be w(0). Let g(m) be the third derivative of 1\/24*m**4 - 1\/3*m**3 - t*m**2 + 0 + 0*m. Calculate g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14991*t + 5471*t - 80273*t.\nAnswer: -89793*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 + 3*c + 3. Suppose -s = -0*s + 2*g + 6, -2*g = -5*s - 18. Let t be j(s). Determine v so that -5*v - 23*v**2 + t*v**2 + 9*v = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 677692?\nAnswer: -67768e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1103 - 2168 + 0*y + 3*y**2 + 0*y + 1065.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 11386935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.63\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 + -214240404?\nAnswer: -214241111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o. Suppose 0 = k - o*k - 3. Let f(p) be the third derivative of p**4\/12 - 2*p**3\/3 + p**2. What is f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 - d. Suppose -42*n + 2 = -41*n. Let h be r(n). Suppose -4*g + 252 = 4*x, 2*x + 63 = 3*g - h*g. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20011000101 (base 3) to base 10\nAnswer: 121024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 15 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m - 6. What is the tens digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16399\/5 or -6.321?\nAnswer: -6.321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2.53706, 1\/3, 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - j + j + (-3 + 3 - j)*(23*j - 19*j + 12*j) to the form r*j + h*j**2 + y and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81, 63, 19, -63, -195, -389, -657?\n\"Answer: -2*r**3 - r**2 - r + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 197?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2\/3))\/((-222)\/296)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 48 = 8*u. Suppose s = 2*t + 10 - u, 0 = -2*s. Which is smaller: t or 0.14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 810, 1611, 2412, 3213?\n\"Answer: 801*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, m: 4, i: 6}. What is prob of sequence iiww?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 10. List the prime factors of (1 + -121)*k\/(-12).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/30 + f**3\/2 - 3*f**2. Find the first derivative of a(j) wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 205 = 5*v + 5*y, -119 = v - 3*y. Let t = 110 + v. Solve 5*l + 2 + 3 = t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 761.2 or 0?\nAnswer: 761.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 111\/2, 0, 3, 0.3, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.49 - 4. Let g = 0.88 - f. Let s = -0.91 - g. Which is the nearest to -1\/3? (a) -4 (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*k**3 - 2762*i**3*k - 2*i**3 - 4773*i**2*k**4 - i**2*k**2 + 3*i*k**2 - 31*k**3 wrt k?\nAnswer: 12*i**3 - 114552*i**2*k - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284843.\nAnswer: 11, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, k: 2}. Give prob of sequence km.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 11) to base 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 319*d**6\/3 - 2518*d**4\/3 - 2496*d. What is the third derivative of h(j) wrt j?\nAnswer: 76560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.352030114 and 1145.\nAnswer: 1150.352030114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 62*p + 47 - 57*p + 17 - 9. Let s(r) = -r**2. Give s(a(b)).\nAnswer: -25*b**2 - 550*b - 3025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h. Let f(t) be the second derivative of 19*t**4\/4 + 36*t + 3. Give m(f(x)).\nAnswer: 342*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 106 = -5*o, 5*o - 114 = 4*u + 4. Let f be 12\/66 + 1536\/o. Let m = f + -39. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 58*f**2 + 88*f - 148. Differentiate l(i) with respect to i.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -530032 + 4?\nAnswer: -530024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 16*x - 4*x. Let k(m) be the third derivative of 0 + 1\/8*m**4 + 0*m - 38*m**2 + 0*m**3. What is o(k(y))?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8935098 and 19\/85340.\nAnswer: 89350980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/5)\/(13\/(-130)). Suppose 4*b - d*o = -0*b + 668, 3*o + 338 = 2*b. What is the smallest common multiple of 8 and b?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-26)*(-80)\/(-240). Which is the second biggest value? (a) i (b) 4\/15 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1005\/(-603))\/(10\/36)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1 + (5 - 1). Let i be (-10)\/45 - (-38)\/w. Calculate the highest common factor of i and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**7))*d**(-1))\/(d**(-3\/5)*d**(-2\/7)*d) assuming d is positive.\nAnswer: d**(241\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5536012, 5536003, 5535990, 5535973, 5535952, 5535927, 5535898?\n\"Answer: -2*f**2 - 3*f + 5536017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 60 = -9*a + 4*a, 4*a - 34 = 3*x. Suppose -1484 = -0*u + 3*u + b, -u - 504 = 5*b. Find the common denominator of 45\/8 and 4\/x - u\/63.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 1. Let g be h(2). Let w(i) be the first derivative of i**2 + 40 + 3*i - 2\/3*i**3. Calculate w(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*(-1257 + 1256) + (-4)\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45*(-1 - (-5 + -4) - 7) + 10)\/(-1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-13 - -25)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/81 and 28\/351?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651234855?\nAnswer: 3, 5, 43415657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -640 - -810. Calculate the least common multiple of w and 119.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k. What is the remainder when 26 is divided by k - 18\/4*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30, 65, 98, 129, 158, 185, 210?\n\"Answer: -l**2 + 38*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 15*g - 10. Let n be d(-16). Solve -n = 4*l - 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 4. Suppose h = 3*v + v. Suppose 0 = -v*d + 122 + 12. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5*-2*10. Let f be (3\/u)\/((-9)\/36). Suppose f*b + 0*b - 33 = -p, -2*b = -4*p + 160. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millisecond in microseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2635635421 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 - 4)*(-3640*u - 277 - 8 - 3*u**3 + 3648*u) as g*u**2 + v*u**3 + b + z*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.33 (c) -1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49018 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: How many minutes are there between 6:09 AM and 7:39 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (sqrt(243)*2 + -2 - sqrt(243)*1*-3) + (2 + sqrt(243) + sqrt(243) + -1 - (sqrt(243) + 2 + sqrt(243) + -1 + sqrt(243)))*-2))**2.\nAnswer: -4032*sqrt(3) + 190576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.790546 rounded to 2 dps?\nAnswer: -15.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79488803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.757 rounded to the nearest integer?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -0.08. Let c = -7.69 + 11.02. Let z = c - 3.34. Is d less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1255*j**2 + 37*j - 88. What is the hundreds digit of p(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2 + 5. Suppose -d = 2 + o. Let u = -1 - d. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15022 (base 13) in base 12?\nAnswer: 1aa9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) -165 (c) -0.2 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2. Suppose 0*g = r - 4*g - 85, -4*g = -3*r + 279. Let d(k) = r*k + 2*k**2 - 97*k. Calculate p(d(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g - 1. Suppose -d - g*d + b = -7, -3 = -2*d + b. Solve 0 = n - 1 + d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*22\/(-99) + 12\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a4906 (base 13) in base 16?\nAnswer: 483f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 - 176. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 6) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 388*m + 2429. Calculate the remainder when 486 is divided by w(-6).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105091, 105097, 105103, 105109, 105115?\n\"Answer: 6*q + 105085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**4 + 21*t**3 - 132*t**2 + 100*t - 16. Let x(h) = -9*h**4 - 22*h**3 + 132*h**2 - 102*h + 16. Let l(i) = 5*r(i) + 4*x(i). Solve l(w) = 0.\nAnswer: -4, 2\/7, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -336, -1010, -2860, -6480, -12464, -21406?\n\"Answer: -99*z**3 + 6*z**2 + z - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 4:58 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451540761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**4 - 297*k**3 + 865*k**2 - 567*k. Let n(s) = 3*s**4 - 593*s**3 + 1730*s**2 - 1133*s. Let i(x) = 7*f(x) - 3*n(x). Factor i(d).\nAnswer: 5*d*(d - 57)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/2 in 4, 0.4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1004*t**2 + 989*t**2 + 5*t - 5*t. Let v(i) = -20*i**2. Give j(v(r)).\nAnswer: -6000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - 7\/2. Suppose -4*y + 2*y = 8. Is y smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/17, -4, 1\/2, 3\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 4*y + 45. Let u(b) = b. Let j(w) = -14*w - 7. Let g(x) = j(x) + 6*u(x). Let t be g(-2). What is the highest common factor of y and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - g - 4*g = 23, 0 = -4*v - 4*g - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 12*y**2 - 17*y + 7. Give o(13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5294*213\nAnswer: 1127622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/3*12\/8. Let k(n) = 3*n - 36. Let v be k(13). Suppose 10*w - v*w = -42. Which is smaller: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 + 10 + -2). Let y be (-1)\/(-1) - (s - -3). Find the first derivative of 4*w**3 - y - 1 + 0*w**3 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.68 * 114.\nAnswer: -77.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -50. List the prime factors of ((-2)\/(-4))\/(1\/a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b - 3. Let n be g(-2). Suppose 3*h = -3*a, -3*h + 2*h = -4*a + n. Let t = h - -5. Calculate the greatest common divisor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9))\/((-2)\/36). Suppose 0*m - l*m = -25266. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-130)\/30 + 3\/9. Let h(n) be the third derivative of -n**4\/24 - n**2. Let a be h(z). Solve a*c = c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/6073 or 1?\nAnswer: -25\/6073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 322\/5. Let o be (-1 + 0 + 0)*-2. Suppose -o = -5*a + 8. What is the closest to g in -1\/2, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 9*c - 22. Suppose -409 = -i - 403. Give w(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*o - 25 = 0, 25*x + 3 = 22*x - 3*o. What is the closest to -468 in 0, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-4) + 2\/8. Let u = h - 0. Let f(n) = -3*n**3 - 5*n**2 + 5*n - 5. Let w(y) = 2*y**3 + 4*y**2 - 4*y + 4. Calculate u*w(i) + 4*f(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*p - 16. Let z be (-18)\/(-8) - 3 - 37\/p. Let l = z - 6. What is the biggest value in l, 0.3, 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2 + 2*t. Let b(y) = 29*y - 2. Give w(b(p)).\nAnswer: 5887*p**2 - 754*p + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 383424?\nAnswer: 383424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012132939 to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-11)*p\/(p**6\/p)*p*(p**(-1\/3))**(-41))**(-7))**(-23\/3) assuming p is positive.\nAnswer: p**(10948\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4886065 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 6*h + 0*h**3 + 0*h**2 + 1\/16*h**4 - 1. Let p(r) be the first derivative of l(r). Let p(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/309? (a) -1 (b) -1\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*z**2 - 17*z**2 + 101*z**3)*(-2*z + 3 - 3 + (5*z - z - 5*z)*(3 - 2 + 1) + 2*z + z - z) as h*z**4 + i + w*z**3 + x*z**2 + v*z and give h.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 398290 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g**5\/5 + 3010188*g**4\/5 + 15313899*g**3\/5 + 25392918*g**2\/5 + 2827284*g + 1047144\/5 = 0. What is g?\nAnswer: -2, -1, -2\/23, 43631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2 + 10. Suppose n*c - 26000000 = -0*c. What is c rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11605107 (base 10) in base 7?\nAnswer: -200433063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (147 - 147 + 138*i)*(0 - i - 3 + 2)*(-3*i - 2*i + i)*(-i - 1 + 1) to the form j*i**3 + s*i**2 + o*i + t*i**4 + y and give t.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73329174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23095 and 1043.\nAnswer: 161665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - v**2 + 3*v - v - v**2 + (-288*v - 14*v - 131*v + 13 + 2*v - 13 + (-4 - 2*v + 4)*(4 + 0 - 2))*(v - 4*v + 5*v)*(-2 + 2*v + 2).\nAnswer: -1741*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -58.\nAnswer: -33\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/7))**33)**(-4\/19) assuming k is positive.\nAnswer: k**(-660\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*j**3*w + 1471*j**2*m*w + 2*j**2*w - 11*m*w + 5*m + 2*w - 8 wrt j.\nAnswer: 66*j**2*w + 2942*j*m*w + 4*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -22, -88, -210, -406?\n\"Answer: -3*p**3 - p**2 - 4*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/48 and 77\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**7\/1575 - 59*m**6\/45 - 173459*m**5\/225 + 11623*m**4\/3 - 38809*m**3\/5 + 4*m**2 - m + 251. Factor j(d).\nAnswer: -2*(d - 1)**2*(d + 591)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 462, 0.8, 12?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(816) + sqrt(816) + sqrt(816)*-1) + sqrt(816) - (sqrt(816)*-2*4 - sqrt(816)))\/(2*5*(4*sqrt(30))\/sqrt(10)).\nAnswer: 7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2\/4 - 1676*i + 2808976 = 0.\nAnswer: 3352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -767, -1495, -2223, -2951?\nAnswer: -3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4 + 1658*j**3 - 84824*j**2 - 555128*j - 757728 = 0.\nAnswer: -877, -4, -2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47523 smaller than 47525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 271480?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2 + 4. Let q be (-2)\/p*150\/4. Suppose y + 4*y = q. Is y smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3559\/156 + 17\/39. Find the common denominator of 21\/10 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52\/9, -1\/3, 3, 27 in descending order.\nAnswer: 27, 52\/9, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g, -u = 5*g - 25. Suppose -14*q = -9*q - u. Suppose 2*y = f - 491, 1091 = -4*f + q*y + 3055. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = 0. Suppose 4*f - 169 - 67 = s. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -382, -572, -762?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - x = -2*a - 9, a = -3*x - 5. Let i(l) = -l**2 + 6*l - 5. Determine i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = 2*k + 2, -4*k = -3*r - 8. Let j(g) = -g**2 - 7*g - 7. Let c be j(-5). Suppose -c*a + 6 + 6 = 0. Solve r = 4*q + a - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 6:58 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17057 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4984 < 4982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 20*o + 86, 46*h + 10 = -o + 45*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o + 83*o + 78*o + 107*o + 89*o - 437*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87.4 - -1.6. Let h = 89 - i. Let k = -1\/189 + -53\/189. Sort 2, h, k.\nAnswer: k, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*x + 42. Let m = x - -17. Let n(d) = d**2 - 3*d - 4. Calculate n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*l + 325*l + 157*l + 2164 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.414 in -0.1, -1\/4, -1, 0.3, 58590?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6832039*u**4 - u**2 - 101*u - 2058 wrt u.\nAnswer: 163968936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -92569 equal to -92569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = 5*o, -3*o = -4*d - 2*o + 68. Let p(v) = -v + 1. Let j be p(-3). Let r(i) = 2*i - 2. Calculate the lowest common multiple of d and r(j).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -3\/2*q**2 + 9*q - 1\/3*q**3 + 14. Let u be s(-5). Is 31 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1961*z**5 + 10*z - 29.\nAnswer: -39220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -141, 3, -3 in ascending order.\nAnswer: -141, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 1382*j**3\/3 - 192*j - 1243. Find the first derivative of y(a) wrt a.\nAnswer: 2764*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285956181?\nAnswer: 3, 7, 41, 149, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 164 * 0.4\nAnswer: 65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30\/11 + -112\/33. Let o = 0.2 - -1.8. Which is the third smallest value? (a) q (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 27*s - 50. Let f be w(24). Calculate the greatest common divisor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gjjaaajgpgjagwowjgja.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/c)**11\/(c\/(c\/(c\/(c\/((c\/((c*c**(-5\/2))\/c))\/c))))*c*c**6) assuming c is positive.\nAnswer: c**(-107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -21.7?\nAnswer: -1.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 223536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1.06. Let i = c - -8.06. Let g = -7 + i. Is g bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/15 - 4*p\/15 + 2\/5 = 0. Calculate p.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619802 is divided by 404943?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1956, 8071, 18272, 32565, 50956?\nAnswer: 73451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8421, -17475, -26529, -35583, -44637?\nAnswer: -53691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 + -656005168.\nAnswer: -656005169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 9:22 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, -5, -0.09, 23?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 0*w - 32 + 3\/2*w**2. Let a(x) = -10*x. What is v(a(j))?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 take away -0.02?\nAnswer: 1142.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5248439 - -28?\nAnswer: -5248411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 5*o - 2*o**2 + 11*o - 1 to the form y*o + l*o**2 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-119)\/(-238))*14\/244?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - (-32)\/(-60)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(68) - sqrt(68)*2 - sqrt(68))*3 + 0 + (3 + sqrt(68)*2 - sqrt(68)) + 2)**2.\nAnswer: 2180*sqrt(17) + 807933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 18*z**2 - 5 + 8*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 6*(2 + sqrt(275))*3)*6*1)**2.\nAnswer: 5184000*sqrt(11) + 81111600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 3. Let m(h) = -4*h**2 - 4. Suppose -2*k + 117 - 119 = 0. Let a be 11\/(-44) - -13*k\/(-4). What is a*z(d) - 2*m(d)?\nAnswer: -4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**6\/200 - j**5\/20 - 3*j**4\/20 + 29*j**2 + 126*j. Let c(n) be the first derivative of o(n). Factor c(h).\nAnswer: -3*h*(h + 2)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffss when four letters picked without replacement from {s: 6, f: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -o + 3*o. Let c = -44 - o. Let m(v) = 8*v - 4. Let y be m(c). Solve y*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*c**2 + 299*c - 3?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**(-3\/40)\/(l\/l**(1\/2))**(3\/2) assuming l is positive.\nAnswer: l**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**3 + 24*m**2 + 7*m - 12. Let h be o(6). Solve 5*f + h = -8*z + 3*z, 4*z + 29 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 6) to base 12.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012330321203 + 10?\nAnswer: 2012330321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 plus -14740?\nAnswer: -14850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, 2\/9, -5, 2.21633, 3 in increasing order.\nAnswer: -5, 2\/9, 0.24, 2.21633, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 1\/2*w**6 + 0*w**3 + 0*w**4 + 0*w + 0*w**5 - 6 + 5*w**2. Find the second derivative of r(b) wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104, -107, -112, -119?\n\"Answer: -g**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -407.600350747 - 2.33.\nAnswer: -409.930350747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*z + 360, 6873*z = 4*t + 6901*z - 1920 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 628810*f**3*r**3 + 4*f*r**2 - r**3 - 8*r**2 - 1739 wrt f.\nAnswer: 3772860*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*n + 223*n + 2723760 = 0. Is 156 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/21166 and -107\/418.\nAnswer: 232826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -312*a**4 - 3260*a**3\/3 - 66*a - 18. Find the second derivative of l(b) wrt b.\nAnswer: -7488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*2)**2 - (sqrt(209)\/sqrt(99) - sqrt(19)).\nAnswer: 2*sqrt(19)\/3 + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - 104\/(-8) - 4. Solve -4*r = 3*k + r + q, -25 = 5*k + 5*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5*s + 220 = -15*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/22303590 and 46\/453325.\nAnswer: 111517950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32\/3, 2\/19, 7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 + 59*p - 96. Determine i(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a factor of 2849611724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 5\/3*x**3 - 5\/12*x**5 + 38*x**2 + 0*x + 0 + 5\/8*x**4. Factor p(r).\nAnswer: -5*(r - 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2465 = -3*v + 14534. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 43, 64, 103, 166?\n\"Answer: q**3 + 2*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1 = -14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 767, 3, 0 in ascending order.\nAnswer: 0, 3, 767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 14) to base 16\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27222567 - 1?\nAnswer: -27222568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*a + 7 = -7, 6*j - 4*a = -4. Suppose -2*p - j*u = -354, -3*u - 24 = -p + 141. Factor 24 + 147\/2*o**3 + 336*o**2 + p*o.\nAnswer: 3*(o + 4)*(7*o + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.96301ml in litres?\nAnswer: 0.08196301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12160 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1969108, 1969110, 1969112, 1969114?\n\"Answer: 2*r + 1969106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365268 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37 and 1680.\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*2*sqrt(153) + -4).\nAnswer: -20 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2020 = 2*q, 36*q - 35*q - 1017 = 3*j. What is the remainder when q is divided by 245?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24762*m**3 - 74382*m**3 + 24753*m**3 + 24718*m**3.\nAnswer: -149*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496022466?\nAnswer: 2, 3, 641, 128971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8775 is divided by 2326?\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3036 divided by 759?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1170 and 432?\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408314501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (-5 + sqrt(7) + sqrt(7))**2*3 - ((sqrt(168)\/sqrt(6))\/sqrt(4))**2.\nAnswer: -59*sqrt(7) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6412614156 to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -0.05 (c) -6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23362612 and 7420.\nAnswer: 116813060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -14134?\nAnswer: -14115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 22 = 3*v, -u + 5 + 8 = -2*v. Is 1*316 - (v + -8 + 12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*b - 4*b**5 - 7*b**5 - 6*b - 11*b**5 wrt b?\nAnswer: -440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/6)\/((l*(((l\/l**(-2))\/l)\/l)\/l)\/l))\/(l**(-2\/7))**(-1\/25))\/(((l*l**0)\/(l\/l**(-1\/2)))\/(l*l**1)**31) assuming l is positive.\nAnswer: l**(33244\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410986 is divided by 470316.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynyy when four letters picked without replacement from ynynytyyt.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 8. What is g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44\/3 in 0.1, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3052, 3050, 3038, 3010, 2960, 2882, 2770?\n\"Answer: -n**3 + n**2 + 2*n + 3050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 = -x. Let m be (145 - -1)\/2 - x. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19193*b - 35. Let f(l) = -105171243*l + 191790. What is 7*f(h) + 38358*t(h)?\nAnswer: 6393*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*d - 237*d - 370*d.\nAnswer: -879*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 9. Suppose 0 = 5*r - l - 0. Solve r*i + 4 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 12:45 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 116 + 70 + 191 - 5*i - 29 in the form v + b*i and give v.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 413.\nAnswer: -4\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -88.3327929?\nAnswer: 93.3327929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -548*l + 85490. Calculate g(156).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*136\/(19584\/1080)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18 and -1510280.\nAnswer: -1510298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 433 - -137. Let d = 477.8 - h. Round d to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -140347, -280704, -421067, -561436, -701811?\n\"Answer: -3*g**2 - 140348*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + ((-3)\/15*13 - (-110)\/(-275)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = -5*m + 217. Sort m, -8, 3\/2, 3, -5\/4.\nAnswer: -8, m, -5\/4, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/1 + 10 + (-4 - 3). Let v(t) = t + t**2 + 6*t**3 - 3*t - 5*t**3. Calculate v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 70\/(-56) + (-68)\/(-16). Find the common denominator of z - (1842\/(-540) - -8) and -22\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -471 in -2\/5, 0.4, 2, 0.1, 1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 37*x - 20 = 35*x, 70 = 6*j + 4*x for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 19?\nAnswer: 56\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -x + 15, -5 = 25*q - 23*q + 3*x. Solve 2*i = -2*p + 4, 3*i = -10*p + q*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12306568 to the power of 1\/2, to the nearest integer?\nAnswer: 3508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, g: 3}. Give prob of picking 1 m and 2 g.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.74 - -2.3. Let t = -0.04 - s. Let x = 1050.6 - 1051. Which is the closest to 0.1? (a) 5 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*j - 2*g - 132, 0 = -2*j + 2*g - 46. Let s = j - -18. Sort 4, s, 8, -5 in ascending order.\nAnswer: -5, s, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -f - 5*b + b, 20 = 5*f - 4*b. Let s(v) = -2*v**2 + v + 2. Let d(y) = 3*y**2 - y - 1. Let g(l) = 3*d(l) + 4*s(l). Calculate g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 13. Let n be p(3). Let w(a) = -a + 4. Let y(x) = -3. What is n*y(r) - 3*w(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7.4. Let k = 0.4 + t. Let u = k + -0.1. Which is the nearest to 0? (a) 2\/13 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12357178.\nAnswer: 2, 773, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 400, 886, 1372, 1858, 2344, 2830?\n\"Answer: 486*t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c = -36*c + 2*o - 6, -c = 4*o - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**21)\/c)\/c*((c*c**15*c*c)\/c)\/c)\/(c**(-7\/3)\/c**9) assuming c is positive.\nAnswer: c**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276395052 is divided by 583.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -115774 divided by -334?\nAnswer: 57887\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00438777492 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*l - 4 = 0, 9*a + 6 = 10*a + 3*l. Solve -2*p + 5*g + 9 = -6*p, a*g = 4*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8223, 8184, 8119, 8028, 7911?\n\"Answer: -13*x**2 + 8236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-4)\/(-120)*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*l**2 - 152\/5*l + 1444\/5.\nAnswer: 4*(l - 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**4 - n**3 + n**2 - n. Let x(w) = -4*w**5 - 3*w**4 - 3*w**3 + 3*w**2 + 6*w. Let g(z) = -3*b(z) + x(z). Find the second derivative of g(y) wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g + 3*r = 63, -3*r - 33 = -g. Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 5. Let x be t(-6). Let j be (-33)\/(-7) - (-4)\/14. Suppose -x - j = -2*s. Solve o - s*o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -2011b32?\nAnswer: -2011b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1198 and 1195 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 15, -2*o - 3*o + 35 = 3*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 4*k**2 + 5*k + 4. Let n(r) = -r. Let j(g) = 5*g + 1. Let u(h) = -j(h) - 4*n(h). Let y(d) = -4*u(d) - x(d). Factor y(l).\nAnswer: -l*(l - 1)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39\/187 - -126685\/1309. Let g = n - 1345\/14. Factor 0 + g*d**2 - 1\/2*d.\nAnswer: d*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 1186901.\nAnswer: 19\/1186901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*r + 168, 6*r = 5*u + r - 180. Suppose -2*b = -4*t - u, 101 = 4*b + 5*t + 34. Solve 3*j = -j + f + b, -j + 10 = -3*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*((sqrt(3) + sqrt(12) - sqrt(3))**2 + -2)*-5.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2822*c - 100. Let r be i(-28). Suppose -4*m + y = -r, -6*y + y = -m + 19729. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {w: 3, x: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9798 (base 11) in base 9?\nAnswer: -18660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -1552255?\nAnswer: 1552263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 1784, 323, -3, 1.\nAnswer: -3, -1, 1, 4, 5, 323, 1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -1. Let o = p - -2.5. What is the nearest to 1 in 0.1, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3663 and 1628.\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(((-6)\/12)\/((-12)\/4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -15 + 1270. Let i = 315 + c. What is the greatest common factor of i and 1536?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-25) - 6\/(-15). Suppose t = -3*d + d - l, 2*d = 2*l + 14. Suppose -4*s + 2064 = d*x, 2*s - 5*x = -3*x + 1038. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 64247067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/24 + u**3\/6 - 2*u**2. Let j(o) = -o**2. Let l be j(0). Suppose -3*p - 2*p + 10 = l. What is q(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377*q - 6221 = -382*q + 14674 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4429001173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/12*16\/54. Let y(r) = r**3 + 6*r**2 + 3*r + 7. Let g be y(-5). Let f be 1 + 0 - g\/15. Which is the closest to q? (a) f (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x**(-6))\/((x*x**(2\/3)\/x*x)\/x)**(2\/37)*((x\/x**(-1\/4)*x)\/x*x)**(1\/42)*x**0*x**(-5) assuming x is positive.\nAnswer: x**(-67231\/6216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 6. Give b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15.74172 and 43.71?\nAnswer: 27.96828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 758362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 903870*f**3 - 2905. Let s(j) = -1245*j**3 + 4. Give -2905*s(p) - 4*v(p).\nAnswer: 1245*p**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: (-6)\/40 - 11412\/720\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4617, 8, 1 in descending order.\nAnswer: 4617, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300216 and 9757020.\nAnswer: 19514040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/12 - p**3\/2 + p**2 + 25*p + 23. Determine w(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56082490 to the nearest 10000.\nAnswer: -56080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 67. Let w be (-3)\/(-5) - j\/(-105). Let t = 0.8 - 1. Which is the biggest value? (a) t (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6002 divided by 98821.\nAnswer: 6002\/98821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2217 + -2309.1. Let x = v + 204. What is x rounded to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.006 + 2.094. Let w = u + 0.4. Let v = w + -2.7. What is the closest to 3\/2 in v, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38485 + 15298 + 15787)*(j - 5*j + 2*j)*(-2 + 3 + 2)*(4*j + 0*j - 2*j).\nAnswer: 88800*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - -76. What is the tens digit of 254\/6 + 1 - 18\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.4319 rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585374?\nAnswer: 2, 13, 37, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038645 + -249.6774.\nAnswer: -249.638755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/11, -5, 3, -7, 20, -31 in descending order.\nAnswer: 20, 3, -24\/11, -5, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 50 + 5*n**3 + 0*n + 1\/5*n**5 + 43\/2*n**2 + 0*n**4. What is the second derivative of c(y) wrt y?\nAnswer: 12*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -39535 + 39535 + 46*d. Let q(v) = 2*v. What is q(s(n))?\nAnswer: 92*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3c7 (base 14) to base 4\nAnswer: -23323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*a**2*g**2 + 46*a**2*g + 58780*a**2 + 552*a*g**2 + a*g - 266*g**2 - 1 wrt a?\nAnswer: -28*g**2 + 92*g + 117560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -8b?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -49, -100, -161, -226, -289?\n\"Answer: s**3 - 14*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13603 and 1.\nAnswer: 13604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3 + (-5 + 4 + 2)*(-2 - 3 + 6) - 5 + 1 - 1)*(3*t + t - 2*t + (3 - 4 + 3)*(t + t + 0*t))*(1 - 2 + 3) to z + w*t and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/302256 and -37\/75564.\nAnswer: 302256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 15) to base 16\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 388588.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -12*a**2 - 5*a**2 + 15*a**2 - 8*a + 8 - 6*a**3. Let y(b) = b**3 + b**2 + b - 1. Let o(u) = -p(u) - 5*y(u). Calculate o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 4*k + 13, -5 = -4*b - k + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 316 + 697216?\nAnswer: 697530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:00 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1732\/7 (b) -0.03 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 19 + 19 = 0. Let w(r) = 3*r - 9. Calculate w(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42916 divided by -2.\nAnswer: -21458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17506663\/4 or -4376667?\nAnswer: -4376667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {q: 3, o: 3, l: 1, p: 2, t: 1, s: 2}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -i + 19, 4*i - 43 = -2*r - 3*r. Let c(u) = u**2 - 6*u - 5. Let q be c(i). What is the derivative of -4 + 2*p**2 + 2 + p**q wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i**3 - 2*i**2 - 6*i - 4. Let f be u(-1). Solve 0 = n - 3, 5*t + f = 3*n - 6*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -34*o + 42. Give i(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21524.\nAnswer: 2, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2610 + -229?\nAnswer: 23d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7764, 5, 4, 72, -5 in descending order.\nAnswer: 72, 5, 4, 1, -5, -7764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 20, 37, 52, 65, 76?\n\"Answer: -d**2 + 22*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-9 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 7*z**2 - z. Let f be n(-5). Suppose 27*a = 22*a + f. Suppose 3*k = k + a. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)\/l*l**(-2\/7)*(l\/l**5)\/(l*(l**(1\/4)*l*l)\/l))\/(((l*l**(2\/7)\/l*l)\/(l*l**(-5)))\/(l**(1\/4)\/(l*(l*l**(1\/4))\/l))) assuming l is positive.\nAnswer: l**(-387\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w - 252. Let z = 74 - w. What is the common denominator of (1\/z)\/((-1)\/55) and 101\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 7*a - 27 = 0. Which is bigger: -44\/5 or a?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7533790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 2*s**2 - 3*s**2. Let j(n) = 37996650 - 37996650 + 9*n**2. What is j(z(d))?\nAnswer: 81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2788767, 2788776, 2788797, 2788836, 2788899, 2788992, 2789121, 2789292?\n\"Answer: a**3 + 2*a + 2788764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 13. Let i be s(7). Suppose -i + 0 = c, -2*c - 4 = p. Put p, -3, 5 in ascending order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 + 4*k - 4. Let m be c(2). Suppose u - m = 63. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 - 11 + 0*u**2 - u**2.\nAnswer: -(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*b + 642. Let i = 110 + b. Solve i*s - 7 = 2*y, -y + 2*s - 30 = -6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + h**3 - 12*h**2 + 14 - 3*h**3 + 18*h**2 - 117 as d + a*h**2 + g*h**3 + b*h and give d.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5461 + -2684. What are the prime factors of f?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 12 - 8. Suppose 3*q - m = 7. Solve 2 - 5*w**3 + 2*w**4 - 3 + w**3 - 1 + q*w = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*j**(1\/2))\/(j*j**(-1)*j\/(j\/(j*j**(1\/13)*j))) assuming j is positive.\nAnswer: j**(63\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**24*l*l)\/l*l)\/l)**(-23\/2))**(-10) assuming l is positive.\nAnswer: l**2990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -20*v - 17. Suppose -p - v*p - 17488 = 2*w, w + p = -8742. What is w rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05343 to three dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3689? (a) -10 (b) 4 (c) -6\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 51. Let m be l(18). Let h be 3\/(-4) + (-3 - m\/(-12)). Which is greater: h or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-171)*-9*(-5 + -4 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:37 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 29*a = 4*t - 21, t - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -71*j**2 + j - 1. Let s be y(1). Let h = -71 - s. Suppose v - 14 = 5*o, -o - 3*o = -4*v + 24. Solve h = v*u - 1 - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945 and 28917?\nAnswer: 144585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4550 and 1625?\nAnswer: 22750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317110 rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -621, 6, -2 in decreasing order.\nAnswer: 6, 2, -2, -621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c**3 - 1580*c**2 - 67*c + 4882. Determine k(79).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = 5. Let w be (-2)\/(-4 - b - -3). Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085d0 (base 14) in base 4?\nAnswer: -2020330222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -32805*o**5 + 592227045*o**4 - 1155113075*o**3 + 534037255*o**2 + 28520560*o + 361020 = 0?\nAnswer: -2\/81, 1, 18051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 88 + 88.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14652.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -5 (c) -0.1 (d) 7 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8457 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 5*s**4\/6 + 11*s**3\/2 - 31*s**2\/2 + 20*s. Is k(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67401*o**4 - 1910*o**2 + 183826064*o.\nAnswer: 808812*o**2 - 3820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 4*m**4 - 31 - 2*m**4 + 2*m**2 + 30 - 2*m**3 to the form q*m**3 + j*m**4 + k*m + d + l*m**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d - 26. Let j(v) = 20*v + 26. Let l(z) = 4*b(z) + 3*j(z). What is the derivative of l(t) wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 3. Let o = 4 - 7. Let m be t(o). Find the second derivative of k**2 + k + k**2 + m*k**2 wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 6*h + 14. What are the prime factors of p(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -98, -0.1 in decreasing order.\nAnswer: -0.1, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 c when three letters picked without replacement from {c: 5, a: 3, d: 4, s: 3, i: 3}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104045 (base 8) in base 10?\nAnswer: 34853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63\/2? (a) 3 (b) -86\/3 (c) 0.5 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 9161811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 24 = 2*c, 0*c = 3*s - 4*c + 18. Let d(y) = y**2 + 7*y - 6. What is d(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {a: 4, r: 2, l: 4, p: 1, i: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 144 - 171 = s, 0 = 3*s + r + 1001. Let i = 390 + s. Calculate the greatest common divisor of 55 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*v**4*y**2 - 3*v**2*y**2 + 31*y**2 - y - 12 wrt v.\nAnswer: 964*v**3*y**2 - 6*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2492, -4984, -7476, -9968, -12460?\nAnswer: -14952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 6*g**2 + 2*g - 5. Let z be f(5). Let y = z - -51. Suppose 429 = 4*t - y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44269 is divided by 1050?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1001112002 (base 3) to base 8\nAnswer: -50470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74430 = 1178*s - 12742 for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 647683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/1 + 5\/5. Suppose g*r - 47 = 2*f + 1, r + f = 21. Let n be (-4)\/(-18) + 25199996\/r. What is n rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16283 = -513*r + 262*r - 179*r - 427*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000383 rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(sqrt(36)\/sqrt(3))*-6)\/((-1*sqrt(484) - sqrt(4))*-5))**2.\nAnswer: 7\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 34. Let a(r) = 1. Let q(c) = -2*a(c) - j(c). Let y = -48 + 166. Calculate the remainder when y is divided by q(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - 0 - (-10 - (-15 - 1)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = p, 2*q = 2*p - q. Let s be 13 - (15\/6 + p\/(-6)). Suppose -3*l + s - 2 = 4*y, -5*y = -l - 29. Solve -4*a = 1 - y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1540.5291 to the nearest ten.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*w + 27 = 0, -28*p + 4*w = -35*p + 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-12) - (105\/28 - -4).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let c(q) = 140272*q - 374. Let g(i) = -2985*i + 8. Let n(f) = 4*c(f) + 187*g(f). Calculate n(x(o)).\nAnswer: -2893*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieen when four letters picked without replacement from egafeaangiafig.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 11*o**2 + 11*o + 15. Let n be i(-10). Let h(x) = -x + 7. What is the smallest common multiple of 24 and h(n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -0. Suppose -5*n + 5 = 5*g, 0 = -4*g + p*n - 0*n + 31. Suppose -2*u - 3*q = -0*u - 17, 16 = u + g*q. Solve 2*f + u = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21182.5 and 263.5.\nAnswer: -20919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*z**2 - z**4 + 3*z**4 + 3*z**3 + 161*z**2 in the form d + w*z**3 + x*z + u*z**2 + j*z**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 22*z - 267. What is q(12)?\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1379986 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31033 in 4, -3\/2, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5570597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*h + 3*h - 41, 0 = 4*h + 3*r - 259. Let i(k) = 2*k + 31 + 30 - h. Let b(x) = 22*x - 3. Give i(b(f)).\nAnswer: 44*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r - 75001 = -85999 for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18551 - 18556. Sort 2\/7, d, -943 in descending order.\nAnswer: 2\/7, d, -943","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -12. Calculate the highest common divisor of j and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/16 + (-6)\/(-8) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12) - 153\/510. Let a be 2 - 1 - (-1 - -3). Let i = -7\/16 - -3\/16. Put i, r, a in ascending order.\nAnswer: a, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53228540 divided by 4?\nAnswer: -13307135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 56 + 3 = 5*i, o = 4*i - 22. Let b = o + 96. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/11, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 37143*l - 37140*l + 2*q, -3*l = 19*q - 50 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.23 + -3.53. Let x = 1 + 1. Sort 1, n, x.\nAnswer: n, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -0.1, 0.054, 0.3, -0.04114?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76391606 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczzzzzczz. Give prob of sequence zccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*y = 96, 0 = 4*x - 5*y + 8 - 265. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*w - 15. Suppose 32 = w*c - 4*z, -3*c + 29 = -4*z - 19. Solve 3*r + 9 - 25 = t, -4*r = -c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-3))\/((-70)\/7)*(-14)\/(-2)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 4*w**2 + 4*w - 5. Let r(m) = m**3 - m**2 - m + 1. Let s(h) = -h**3 - 7*h**2 - 4*h + 8. Let g be s(-6). What is g*r(l) - a(l)?\nAnswer: -3*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-240)*2*((-48)\/9)\/(-4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644 divided by -4?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35144500133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 314 + 0?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*t + 388, -3*c = -2*t - 2*t - 376. Calculate the remainder when c is divided by (-4)\/(-30) + (-11033)\/(-255) + 111\/185.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q. Let f(d) = -6*d**2. Determine b(f(u)).\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 + 5*w**2 - 6*w**2)*(10*w + 0*w - 6*w)*(-1 - 1 + 1) to the form y*w**2 + t*w + c + u*w**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x + 6. Let b(i) = i + 1. Let u(g) = 5*b(g) - r(g). Let w be u(2). Calculate the highest common divisor of w and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*f**2*g**2*u**3 - f**2*g*u - 233*f*g*u**3 + 113*f*g*u - 428*g**2*u**3 wrt g.\nAnswer: 42*f**2*u**3 - 856*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 31 = -4*j, -33 = -j - 5*y - 4. Let l(o) = 1 - 3*o + 4*o - 3*o - j. What is l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*z + n, -z - n = 2*n - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4412748 to the power of 1\/2, to the nearest integer?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-621)\/81 - (-11 - (-7 + 3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3110148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 - 351 + 708 + 17*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4554, -17125, -37724, -66351, -103006, -147689?\n\"Answer: -4014*s**2 - 529*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*x**2 - 101*x - 53*x**2 + 116*x to l*x**2 + n*x + k and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -549*j**3 - 558*j.\nAnswer: -3294*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -16.84164\nAnswer: -1.684164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(288) + sqrt(288))**2 + 2 + -2 + (sqrt(288) - (-3*sqrt(288) + sqrt(288)))**2 + 3.\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17558?\nAnswer: 2, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(-4 + 0). Let y be (0\/2)\/(i\/(-2)). Differentiate y + 2*k + 1 + 1 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(4 + 1 - 6)*(-3*b**2 - 2*b**2 + 4*b**2)*(b + 6*b + 6*b).\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 2. Let y be a(5). Suppose -y*o - 61 - 14 = 0. Is 10\/o - 354\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300))\/(sqrt(12)\/(sqrt(12)\/sqrt(4))))**2 + 1.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -999 - -1010. Let l = -75 - -141. Calculate the greatest common factor of l and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60763 and -0.8.\nAnswer: 48610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1621 - -1595. What is the nearest to 1 in r, -0.04, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784 and 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7084 take away -7052.3?\nAnswer: 14136.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2991 is divided by 415?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 4*l - 6*l)*(4*l - 5*l + 0*l) - 3*l**2 + 4 - 4 + (-3 + 3 - 3*l)*(-2*l + 3*l + l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27706744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-156))\/((-1)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 2, 21\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5*n**2 + 0 + 1\/5*n**4 + 3\/5*n**3 + n.\nAnswer: n*(n - 1)**2*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - i = 44, -2*g + 4*i + 101 = 9. Let c = 35 + g. What are the prime factors of c?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 13*h + 27. Suppose -34*i - 36 = 4*r - 38*i, -2*r - 4*i = 30. Give q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79*0.07\nAnswer: 5.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:03 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1705 and 62418.\nAnswer: 106422690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024249 rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 542, -297281 in decreasing order.\nAnswer: 542, -4, -297281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(4)*-6)\/(sqrt(288)*2) + 2.\nAnswer: -sqrt(19)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2*i - 2*i)*(-4 + 4 - i).\nAnswer: 4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 678 + 3*o**2 - 14*o**2 + 676)*(-2*o**3 - 3*o**3 + 6*o**3).\nAnswer: -11*o**5 + o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 786426 and 3396?\nAnswer: 445117116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/7 + 4404*m**4\/7 - 164711*m**3\/7 - 1750662*m**2\/7 - 576140*m - 2451432\/7 = 0 for m.\nAnswer: -4441, -6, -2, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 + 40279*f\/2 - 80559\/4.\nAnswer: (f - 1)*(f + 80559)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microsecond in nanoseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20 + 3 - 1\/1. Suppose -28 = 5*b + w. What is the tens digit of (-168)\/b - 4\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfjcfgcccjycuccj. Give prob of picking 1 c and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2106 and -0.1486081.\nAnswer: -0.3592081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 366030 and 105.\nAnswer: 38433150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2. Let u = -1 + 3. Let q(y) = u*y**2 - 9*y**2 + 8*y**2. Calculate b(q(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 15. Let q be (-9)\/36 + u\/28. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505312309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-12)\/(-40)*90\/27?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/3, -0.06, 7, -7 in decreasing order.\nAnswer: 7, 2\/11, -0.06, -2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-143)\/(-364)*(-3)\/(3\/2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -11*y**6\/30 - 9*y**5\/20 + 23*y**4\/6 + 6*y**3 - 4*y**2 + 106*y. Find u such that i(u) = 0.\nAnswer: -2, -1, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**2*q**2*r*s**2 + 7*n**2*q**2*s + 2*n**2*q*r*s**3 - 52*n**2*q*r*s - 2*n*q**2*r*s**2 - 190618*n*q**2*s**3 - n*r + 2*s wrt s?\nAnswer: 12*n**2*q*r - 1143708*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 88 (c) -0.014 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -47.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 2. Let s be v(4). Let b be 4\/(-5)*10\/s. What is the units digit of 10*b*3\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -4*y + 1\/12*y**4 + 0*y**3 - 41*y**2 + 0. Let i(z) = -2*z. Give o(i(d)).\nAnswer: 4*d**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 31 = 43 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6396 and 2106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (6 - 10) - 4) + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/(-2)*1\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1338 - -1912. Let t be n\/(-21)*(-18)\/4. Suppose 3*f - 3*a - t = 0, f - 4*f - 4*a + 158 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1648690?\nAnswer: 2, 5, 173, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 113 times -22\nAnswer: -2486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64524 milligrams in grams?\nAnswer: 0.00064524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 156*c - 25. Let t(z) = 78*z - 13. Let j(o) = 6*g(o) - 11*t(o). Let p be (-3 - (-6)\/8)\/((-1)\/4). Is j(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(3 - 5). Put i, 7, 3 in decreasing order.\nAnswer: 7, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*a - 43 = 0, 3*a = k - 0*a - 21. What is the highest common factor of 33 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10 - 36*q - 7*q**2 + 16*q**2 + q**3 + 42*q. Let g be j(-8). Differentiate -69 - g*s - 69 + 128 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.66181 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Let l = 2.5 - x. Let v = -2.474 + 7.474. What is the nearest to -1\/4 in 1\/3, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -107908 and -11.3.\nAnswer: 1219360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/(-176))\/(50\/12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/18 - 5*u**3\/9 + 2*u**2 + 42*u. Let f(t) = 0. What is t?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 627330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7259278 to the nearest integer?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3388.323 + 3390. Let a = 1.09 - n. Round a to two dps.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/100)\/(18\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 3*z**2 + 4*z + 4. Let w be y(3). Let o = 46 - w. Factor -10*g**3 + o*g**2 + 14*g**3 - 4*g**2 + 5*g**2.\nAnswer: 4*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**4\/24 - 83*n**2. Let a(t) = -264*t. Determine a(o(b)).\nAnswer: 264*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-3 + 36\/8). Factor 9*v**3 + 2*v + i*v**4 + v - v**2 + 10*v**2.\nAnswer: 3*v*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/114832 and -4\/64593?\nAnswer: 1033488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179.000025 + -179. What is g rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2 + 2*a - 1. Let c be g(1). Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 - 6 = 0. Suppose -x + 5 = -10. Let s = -6 + x. What is the greatest common factor of o and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 60324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249660650*c**4*m**2 + c*m**2 - 196*c*m - 12189*m wrt c.\nAnswer: 2995927800*c**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2839 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:59 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -389.9999991948 - -390. Round n to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0*v - j + 8, -5*v + 3 = 3*j. What is the units digit of ((-20)\/v)\/(20\/(-90))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1\/(-3)*1). Let r(d) = -2*d - 4. Let q(o) = 2. Let x(c) = 3*q(c) + r(c). Determine x(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 86*a + 593. Calculate c(-57).\nAnswer: -1060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -4 (c) 1\/9 (d) -0.004 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304 (base 5) to base 3.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37531?\nAnswer: 13, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -1\/2*a**2 + 13 + 0*a. Let c(v) = -v**2. Determine m(c(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -131993 - 63889. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*g**2 - 174*g**2 - 172*g**2 - 176*g**2 - 173*g**2 - 170*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u**5 + 4*u + (u**2 + 0*u**2 + u**2)*(-1677*u + 1677*u - 55*u**3))*((-4 + 6 - 4)*(-3 + 3 + 1) - 2 + 0 + 1).\nAnswer: 324*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 583297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3605 is divided by 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/231 - (-13)\/(-39).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -46. Let x be (-2 - (3 - 52))*-1 - n. Does 11 divide (363\/x)\/(3\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -554 - -8889\/16. What is the common denominator of 97\/32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-105)\/(-21) - (-7)\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:58 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = 7*c - 607. Suppose 0 = 4*u + 2*s + 37 - 811, -u = 4*s - 183. Suppose -220 = -c*a + u. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - 3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2475)\/(-363) - (-3)\/(-3*(-2)\/(-14)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxnxnxxxxxxnxxx?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-35) + ((-512)\/(-220))\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/3257663 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10320*v + 10457. Determine p(1).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.79 plus -1.07299011?\nAnswer: 4.71700989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + 18*m**2 - 9*m + 5. Is z(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 5) in base 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a**3 + 11*a**2 - 7*a - 3. Let x(b) = 66*b**3 - 54*b**2 + 36*b + 16. Let d = 24 + -8. Let z(k) = d*h(k) + 3*x(k). Suppose z(t) = 0. What is t?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5392225 is divided by 2696074.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 61*s**2 + 102*s**2.\nAnswer: 165*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (12 + -33 + (13 - 26))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 - 6*g**4 + 590*g**3 - 1714*g**2 + 1692*g - 560 = 0. What is g?\nAnswer: -20, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -6019250 and -10.4.\nAnswer: -6019260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*o = 79, 5*g - 5*o + 51 = -69. Let n = -17 - g. Is (-64)\/(-3) - n\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315.7341 minutes to seconds.\nAnswer: 18944.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + (sqrt(2) - (1 + sqrt(200)))*-2 + (sqrt(14)\/(sqrt(7)*-1) + sqrt(2))*-3))**2.\nAnswer: 2700*sqrt(2) + 16425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -204, -112, 48, 282, 596?\n\"Answer: k**3 + 28*k**2 + k - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**4 - 1\/2*f**2 - f - 13\/30*f**6 + 0*f**5 + 0 + 0*f**3. What is the first derivative of m(z) wrt z?\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -55*c**2 - 3*c + 1. Let v(l) = -42*l**2 - 3*l. Give -2*p(n) + 3*v(n).\nAnswer: -16*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 - -261. Let f = 37 - 33. Calculate the highest common factor of o and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1))**(-6\/25)*(i*i**(-1\/2))**(-41))**(-2\/9))**(-1\/3) assuming i is positive.\nAnswer: i**(-1013\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66\/31 + 24983\/11749. Suppose -267*m + 6 - 6 = 73*m. Is m at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 17*a**2 + 2*a + 21. Let z be r(17). Suppose -z = l + 3*p, 2*p + 190 + 80 = -4*l. Let t be l\/2 - -2 - (6 - 10). Which is greater: t or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 - -3.69. Let r = -9.19 + g. Let k = -4 - r. Which is the third biggest value? (a) k (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/12)\/((-5)\/(-9)) + 12210\/(-100100)*-77. Factor -124\/13*l + 2\/13*l**2 - u.\nAnswer: 2*(l - 63)*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/55)*f\/(f**(-9\/7)\/f))\/(f\/f**8)**(-8\/13) assuming f is positive.\nAnswer: f**(-4933\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -195*z**3 + 15*z**2. Let u(t) = -28*t**3 + 2*t**2. Give 45*u(a) - 6*x(a).\nAnswer: -90*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -2. Suppose -7 = -2*u - b. Suppose -3*q = 0, -4*q + 20 = u*h - 13. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -19) + 1 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 39*h**3 - 5187*h**2 + 10370*h**2 - 5186*h**2.\nAnswer: 47*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3132?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3*h - 2)*(42 + 0 - 9) + 5*h - 5*h + h as n*h + j and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 4*t**2 - 2*t - 5. Let u be w(-4). Let d = u - -1. Suppose -3*g + d*y = -6, -4 = -2*g + y - 2*y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.35 + 56.75. Let p = f - 50. Let j = -1.6 + p. Which is the smallest value? (a) -7 (b) -0.1 (c) -3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.7 + 11.3. Let t = -6.482 - f. Round t to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:25 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - v - 5*v - 66 = 0, -v = 333*m - 330*m + 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 11*h + 12. Let g be j(6). Calculate the highest common factor of g and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 6*t - 10. Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6451 to the nearest 100.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let u(a) = a. Let h(z) = -4*t(z) + 5*u(z). Let n(f) = f. Calculate h(n(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-504*p**2 + 395*p**2 + 5 - 3 - 1)*(-224*p**3 + 13*p**3 + 106*p**3).\nAnswer: 11445*p**5 - 105*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -543 - -546.99. What is d rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w**2 - 100*w + 48 = 0. Calculate w.\nAnswer: -4, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - m + 93 = 2*m, 6 = k - 5*m. Suppose -147 = -2*r + k. What is the greatest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 120. Let k = 158 + -283. Is w > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:48 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 507 - 102. Suppose -7*q = -2*q - f. Calculate the greatest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001975+-743.88\nAnswer: -1002718.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 140.869 and -0.1.\nAnswer: -14.0869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7. Let u be -1*(y + -41 + 3). Suppose -3*h + 12 = -u. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 4a27a3?\nAnswer: -4a27a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3619*g**2 - 2*g**3 - 3620*g**2 - g**3 + 2*g as b*g**2 + v*g + z + u*g**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*y - 19*y + 28*y)*(0*y**2 + y**2 - 2*y**2).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*x = 37952 - 9483 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbbqqqbbqbbbqbbbqqq. Give prob of picking 4 q.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1735*g - 1729*g + 30 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from effffffeffeffffeffff. Give prob of picking 2 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992142*g = 991774*g - 6624 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:25 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 58, 119, 200, 301?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.8 plus 16695982?\nAnswer: 16695908.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19.74 in 0, 4, -210?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4\/4 - 21533511*d**3\/4 + 12880337794101*d**2 - 10272558843628134420*d + 10272545963295723696 = 0.\nAnswer: 1, 2392612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 650*q**2 - 885*q**2 - 1041*q + 786*q**2 wrt q?\nAnswer: 1102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1690, -1692, -1694, -1696?\n\"Answer: -2*d - 1688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.78 - -12.78. Sort -1\/10, u, 31, 0.2 in descending order.\nAnswer: 31, u, 0.2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 7*w - 4. Let h be y(6). Let f(r) = -4*r + r**3 + h*r - 1 + 4*r**2 + 1 - 5. List the prime factors of f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17644 + 17669. Solve -g - 1 = -26*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275619 (base 10) to base 13.\nAnswer: -985b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1*j*j**(-2\/3)\/j*(j\/(j*j*j**(1\/4)))**(-34\/5) assuming j is positive.\nAnswer: j**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29676523?\nAnswer: 1447, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1739788?\nAnswer: 15658092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*q - 4*q + 6)*(3*q + 3 - 3).\nAnswer: -3*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19248 divided by 6416?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37 - 0.57. Let h = -348.9 - -349. Let d = -0.5 - -0.1. Which is the nearest to h? (a) q (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 246*i.\nAnswer: -3*i*(i - 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8406015 or 8405953?\nAnswer: 8405953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joo when three letters picked without replacement from zojvoj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/8757? (a) -3 (b) 3 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l*l\/l**6*l)\/l)\/l*l\/(l*l\/(l*l**(1\/8)))*l\/(l\/(l*l**(-12)))*l**(-15\/4) assuming l is positive.\nAnswer: l**(-141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + 3 + -7 + 1. Suppose -4*y = 3*g, 2*y - 16 = 4*g + a. Is (4 - y)*(-90)\/(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 take away 113675955?\nAnswer: -113675992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + c + 0*c)*(c**3 - 3*c**3 + c**3) - c**4 + 0*c**4 - c**4 as v*c**4 + u*c**3 + r + n*c**2 + g*c and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -203\/6. Sort p, 0.13, 0.1 in decreasing order.\nAnswer: p, 0.13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25358999 = -11*i + 14*i + j, 0 = 4*j - 4. What is i rounded to the nearest 100000?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.738757 micrograms to grams.\nAnswer: 0.000000738757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420830 is divided by 3311?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*m - 367 = 155, g + 4*m = -552. Let l be (-3)\/(0 - (-6)\/g). Let f = -157 + l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2330503271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18809573 is divided by 609?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29897*y**2 - 29904*y**2 - 279813*y + 279813*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 x, 1 c, and 1 z when four letters picked without replacement from {x: 1, c: 2, v: 6, g: 2, o: 1, z: 5}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14875259 is divided by 1852?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 17. Let f = 26 - r. Sort f, -3, 1\/5, 7.\nAnswer: -3, f, 1\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215950 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2*(-5)\/(-4)))\/((-91)\/(47775\/(-1890)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5071 - -6a3?\nAnswer: 5764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 7*f**3 + 6 + (-2*f**2 + f**2 + 0*f**2)*(0*f + 2*f + 0*f) + f - 2*f**3 - f as i + u*f**3 + l*f + a*f**2 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2 - 134*f**2 - f**3 - 4 + 139*f**2 + 2*f. Let h be u(5). Suppose -7 = -h*c + c. Are -7 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 0)*(3649\/123 + -32).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from kbffjffbbjxjf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -1\/4 (c) -0.3 (d) 0.1 (e) -185 (f) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434125.\nAnswer: 5, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36910 - 77789 + 40976 + 2*h**2.\nAnswer: 2*h**2 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141364 or -141361?\nAnswer: -141364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-24)\/(-4))*-2. Suppose -6*v + 5*v + 3*m - 10 = 0, -5*m + 16 = -2*v. Suppose v*u = -8 + 34. Do f and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521269 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/2, -16.932, 0.5 in decreasing order.\nAnswer: 2, 3\/2, 0.5, -16.932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*x**2 + 0*x + 70*x**2 + 2*x.\nAnswer: 839*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -13 - -1)*(-5)\/(-85).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2. Let l be w(0). List the prime factors of (72\/60)\/(l\/(-65)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 9355?\nAnswer: -1964.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(3 + 27\/(-6)). Suppose -14 - 1 = 3*z. Let r = 7 + z. Put 1, o, r in decreasing order.\nAnswer: r, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57.6 + 64.6. Let b = -239.05 - -247. Let f = d - b. What is f rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3 - 4*j + 18 - 10 + j**2. Let k be t(4). Suppose -5*o = 2*p - 0*p - 22, 0 = k*p + 2*o - 97. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2 plus 92185589323?\nAnswer: 92185589301.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*(-392)\/(-21). Let d = -64 - -52. Let n = d - -16. Solve -n*u + r + 3*r = 8, c = 4*u + 5*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {r: 3, b: 1, m: 1, t: 6, z: 1, c: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -303078, -303069, -303060?\n\"Answer: 9*x - 303087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/7 + 69*f**3\/7 - 282*f**2\/7 - 832*f - 2016 = 0. What is f?\nAnswer: -4, 14, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -244, -496, -838, -1264, -1768?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -563*d**2*z**2 - 2*d**2*z - 32417222*d**2 + 667*z wrt z?\nAnswer: -1126*d**2*z - 2*d**2 + 667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**4 + 873547*s**2 - 8285758?\nAnswer: 12*s**3 + 1747094*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 786*g**3 + 90659*g**2 + 184470*g = 0. Calculate g.\nAnswer: -2, 0, 143, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (200\/(-15))\/5*15\/4. Let k be 2\/b - (-77)\/35. Suppose 6*c + d = k*c + 20, c = -d + 5. Solve c*s + 4*t - 36 = 0, 2*t = -4*s + 4*t + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616179345.\nAnswer: 5, 11, 509, 57731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -202220110210 (base 3) in base 9?\nAnswer: -686423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 4*k + 4. Let y be q(-4). Suppose 0 = y*m + 9 - 85. Solve -5*s - 3*i + 6*i + 16 = 0, 2*s + 3*i - m = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159765 or -1437898\/9?\nAnswer: -1437898\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 1535*g - 1465*g - g**3)*(-4*g + 3*g - 2*g).\nAnswer: 3*g**4 - 210*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/25 + (-766)\/560 and 43\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -9369, -21, 0 in descending order.\nAnswer: 5, 0, -11, -21, -9369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8288500.5 microseconds?\nAnswer: 0.00230236125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 273\/(4 - 5\/2). Suppose -3*c + 127 = -5*z + 8, -4*c + k = 5*z. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -34.94.\nAnswer: -17.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00933409 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 23 - (98 - 89)) + (3 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 2*l - 2. Let k be r(2). Solve 3*z = 2*b - 6, 0*b + 4 = -2*b - k*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g*n**3 + 448*g*n + 1427*n**3 - 320*n**2 wrt n.\nAnswer: -30*g + 8562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + o = 14, c + o = -3*o - 4. Let j = 152 + -106. Suppose 5*a - j = c. What is the least common multiple of a and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -14, -0.461, -2\/11, 5, 1\/4, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -82444\nAnswer: 1\/82444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.225 * -0.032383.\nAnswer: 0.007286175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/7)*w\/(w\/(w*w*w\/w**17)) assuming w is positive.\nAnswer: w**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.4 + -5.4. Which is the second biggest value? (a) 174 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 + 0*h**3 + 0*h**3)*(-1 + 0 + 4)*(5 - 2 - 4)*(1 + 2 - 5 + 22*h).\nAnswer: -462*h**4 + 42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/(2\/5). Suppose o*q = q. Let n = 244 + -240. Solve q = -n*p - 2 - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3428 is divided by 599.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2 - 2 + (1 - 2 + 11)*(-4*j + j + 0*j).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14247882 is divided by 2035408.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 1968, 4442, 7760, 11838, 16592, 21938?\nAnswer: 27792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and -1369.878.\nAnswer: -91781.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1367\/10537 + -2\/257. Let h = -1835158013\/492 - -3729999. Let y = z - h. What is the common denominator of -101\/18 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + -1 + 20 + (-33 - -22)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.106193512 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(52))\/sqrt(4) + ((1 + sqrt(13))*-4)**2 + (sqrt(1053) + -1 - sqrt(13))*6.\nAnswer: 218 + 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - 2.29999948. Round s to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 32738706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11338 - -11336. Let d = -9.75 - 0.25. Put d, 0.1, b, 2 in descending order.\nAnswer: 2, 0.1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from nnvvcjjk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:58 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9054, 9157, 9260, 9363, 9466?\nAnswer: 9569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1220)\/(-140) - 8 - ((-14928)\/2730)\/(-8)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 13*g**3 - 3*g**2 + 2. Let d be k(1). Suppose 55*x = 52*x + d. Solve -x*c = -5*b + 2*b + 3, -2*c = -b + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 + (-5 - -6 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.49 + 0.78. Let j = s + 1.31. Which is the third biggest value? (a) -0.5 (b) j (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 2*j. Let c be (0 - 1\/(-1))*2. Let x = -2 + c. Solve j = -x*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l + 85. Let a be j(14). Let s = 1576\/105 - 106\/7. What is the nearest to a in -0.3, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 8 = -g. Let d be g\/(-1)*8\/(-6). Let v = -2.9 + -0.1. Which is the closest to 0.2? (a) -0.5 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c**3*i**3 - 2*c**3*i**2 - 1521*c**3 + 8*c**2*i**3 + 61*c**2*i**2 + 2*c**2*i + 2249*c*i**3 wrt i?\nAnswer: 78*c**3 + 48*c**2 + 13494*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(2) + (sqrt(2) + sqrt(50) - sqrt(2)) + sqrt(2))*-5 - (sqrt(100)\/sqrt(5))\/sqrt(10)))**2 - -3*((-2*sqrt(200) - sqrt(200))*1)**2.\nAnswer: -360*sqrt(2) + 8017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.124 + -3.124. What is the nearest to -1 in -4, -11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 182400 = 89*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1771 greater than or equal to -1766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 39336.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -36 - k - 38 - k**2 + 92 - 2*k. Let o be p(3). Solve o*g + 3*g + 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 9, l: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*z = -3*x - 12, 2*x = -2*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/24 - (-48293)\/21 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 53. Suppose 3*a = -a - 16, -j*a - 8 = -2*t. Suppose -3*h - o = -150, t*o + 205 = 4*h + 3*o. Calculate the remainder when h is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 20. Solve -2 + u = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.3 and 66.27.\nAnswer: -1941.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 70. Suppose 0*v - 12 = -4*v. What is the smallest common multiple of v and g(39)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5400624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 4 (c) -4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79778890 + -79778862.9999945. Let v = 27 - k. Round v to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13089442867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*h = 23, 5153*x + 19 = 5148*x - 4*h for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -978540 divided by 2820?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1257*j - 400 = 1241*j. Solve 5*y - 36 + 61 = -2*i, j = -5*i - 5*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2079 and 1701.\nAnswer: 18711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 2 + 0 - 2*j**2 + 2*j - 1 - j**2. Let p(z) = 0 + z - 4 + 5 - z**2. Let l(w) = p(w) - u(w). Factor l(o).\nAnswer: -o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p. Let h(a) be the first derivative of a**4\/6 - 13*a**2 - 7. Let q(u) be the second derivative of h(u). Give q(z(r)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -47*f + b + 44 + 132, -2*b + 0*b = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*d - d**3 + 0*d**3 - 213*d - 187*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1a54?\nAnswer: -1a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-7)\/j)*j*j**0*j*j**(-2\/5)\/j**(-2))\/((j**(1\/2)\/(j**3*j))\/(j**7*j**(-2\/5))) assuming j is positive.\nAnswer: j**(227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41713116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34931 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*r**(3\/13)*r)\/r*r)\/(r*r**15) assuming r is positive.\nAnswer: r**(-153\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*a = -39, -12*x - 4*a = -8*x - 108. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:13 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 74*v - 72*v - 2*d, -5*v - 11 = 4*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbbbbbbbjbj. What is prob of picking 1 j and 1 b?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:00 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -69 + (-1 - -21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18006362, 36012721, 54019082, 72025445, 90031810, 108038177, 126044546?\n\"Answer: b**2 + 18006356*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -305.0998263 + 305.1. What is r rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 100 = -4*f, 3*f + 2*f - 155 = -5*x. Suppose -3*o + f = -w, 0*w - 3*w + 15 = 0. Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2056 + 2102. Calculate the smallest common multiple of z and 15.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1002002122120?\nAnswer: 1002002122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/640 and -39\/2032.\nAnswer: 81280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6 - 4 + 0*m + 2*m. Suppose 8*t - 9*t = -24. Let j be 10\/(-4)*t\/20. Let o(w) = -5*w - 5. Determine j*o(b) - 7*v(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12106 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3277782488?\nAnswer: 2, 233, 733, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -12. Suppose 3*r - o = 3*s, s = 4*s + 12. Suppose -2*t + 4 = r*u, -5*u - 33 = -5*t - 6*u. Solve 3*f - 15 = 3*v - 2*v, t = 3*v + 4*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 793 + -794. Which is the nearest to q? (a) -2.1 (b) -4 (c) -0.4 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 710?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4479 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5638*p**4 + 2 - 3*p**3 + 3*p - 3*p + 5637*p**4 as n*p**2 + v + u*p**4 + b*p + k*p**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:17 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 517, -4, 49, -21 in descending order.\nAnswer: 517, 49, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -42. Suppose -5*x + 41 = 2*o, 2*o = r*x - 5 - 35. Let a = -80 + 175\/2. Are x and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r + 37 = 0. Suppose -r*i + 32*i = -305. Calculate the remainder when 364 is divided by i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 20 = -17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((39 - 18) + -27). Let c(w) be the second derivative of -5 - 1\/3*w**4 - x*w**3 - 3*w + 21*w**2. Find the first derivative of c(h) wrt h.\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 401 - 380. Suppose 26 = 3*b - t, -o*b + 11*b + 4*t - 24 = 0. Solve -2 + b = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 40 = -4*t, -i - 1 + 3 = 0. Suppose -x - 4*x = -4*l + 107, 3*x + t = 0. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 3*(-5)\/15. Let d(w) = 3*w. Let y(u) = u. What is p*y(t) - d(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 9*j + 7*j - 90 = -10, 884 = -149*b - 4*j - 1500 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-74)\/1443*8*(-6)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**4\/2 - 93*u**3 + 132*u**2.\nAnswer: -3*u**2*(u + 22)*(3*u - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1173*y - 505616 = 1165*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*56\/(-42)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 31*q + 1101 = 10*q - 939 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -151940770635 take away -0.05?\nAnswer: -151940770634.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*t**4 + 147*t**3 - t**2 + 45*t + 7.\nAnswer: 168*t + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 34. Calculate d(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4359794 + 4.51.\nAnswer: -4359789.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 23337378.\nAnswer: 23337377.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5563*j + 89082 - 89082)*(-6*j + 4*j + 3*j).\nAnswer: -5563*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1573*127\/36322 - (-2 - (-366)\/4).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q - y, -3*q + 2*y + 14 + 1 = 0. Suppose -h - 9653 = -q*s, -4*s + 7717 = h - 0*h. What is s rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**23 assuming m is positive.\nAnswer: m**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6628 + 3478. What is the tens digit of ((-2)\/(-6))\/((-10)\/h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1101 or 1126?\nAnswer: 1101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9313, 18632, 27951?\nAnswer: 37270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166.596725629 + -0.403260971. Let g = v - -167. What is g rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let m(c) = 16*c - 29*c - 19*c. What is m(o(x))?\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -22.8. What is the closest to 1 in b, -3\/5, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 861 - 182*t - 2*t**2 + 0*t**2 - 285 - 287 - 292 to l + u*t + q*t**2 and give u.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1420 and 43594?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, 105, 524, 1389, 2850, 5057?\n\"Answer: 25*r**3 - 2*r**2 - 46*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 31*b**2 - 14*b - 31. Give l(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 354423, 708817, 1063215, 1417617, 1772023?\n\"Answer: 2*t**2 + 354388*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -19788?\nAnswer: -19788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394879449.\nAnswer: 3319, 420271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 133. Which is smaller: b or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117843027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 541958 divided by -1\nAnswer: -541958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 383432 and 13776.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 28\/81?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39670 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 38*r - 161. Let i = 230 - 235. Let v be m(i). Let t(d) = -d + 9. Let s be t(9). Solve 5*q - v - 11 = s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1103.8 - 1013. Let h = 91 - c. Let k = 10 + -10.08. Put 1, 3, h, k in increasing order.\nAnswer: k, h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 bigger than 1\/168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8633 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**13)*(c\/(c*c*c\/c**15))\/c)**(-35) assuming c is positive.\nAnswer: c**(-875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2180\/90 - (4 + -5)\/((-9)\/2) and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498985488 divided by -4620236.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-9958.\nAnswer: -995.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 21979*g. Let d(i) = 14*i. What is d(f(s))?\nAnswer: 307706*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49211042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 251, -1, -3 in decreasing order.\nAnswer: 251, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z**2 + 2*z - 4. Give h(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 19*y - 1. List the prime factors of m(13).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -1, -6 in descending order.\nAnswer: -1, -2, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/12 + (-695)\/(-3). Suppose -3*s + 4*y + 367 = 2*s, 3*s = -3*y + a. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3 plus -2195.964893?\nAnswer: -2173.664893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 63 - 93 + 51 - 4*n**2 + 49.\nAnswer: -4*n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.093952 * 4\nAnswer: -0.375808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 183, 365, 547, 729, 911, 1093?\n\"Answer: 182*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-6 - -12 - 3) + 20 + -32.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 0.001494437\nAnswer: -13.001494437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 67*x + 113. What is the hundreds digit of c(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, 160\/11, 2, -2\/11, -5 in ascending order.\nAnswer: -5, -1, -2\/11, 2\/7, 2, 160\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 21, -4, -17 in increasing order.\nAnswer: -47, -17, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2875996696, 2875996697, 2875996698, 2875996699, 2875996700, 2875996701?\nAnswer: 2875996702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -29. Let t be (-4)\/(-14) - (-103)\/7. Let y = l + t. Solve 4*a = 3*n - 14, 3*a - 5*n - 1 = -y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*f - 2*f + 5*d, 7 = 4*f + d. Let g = f - 1. What is the first derivative of 7*m**2 + 2*m**4 + g - 7*m**2 wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 l when three letters picked without replacement from alahuulhhaauauyay?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677.06 + -677. Which is bigger: w or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586398, 585749, 585100, 584451, 583802?\nAnswer: 583153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/7464 and -61\/5184.\nAnswer: 1612224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 488.3 + -487.1698. What is m rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 125\/19 (c) -0.3 (d) 311 (e) -4 (f) 4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 2*b + 1. Suppose r - 6*u + 3 = -2*u, -4*r + 5*u = 1. Let k be a(r). Solve -k*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0254058 to five dps.\nAnswer: 0.02541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = 10*w - 168. Let o be (3 - 3)\/(-7)*2\/w. Which is smaller: o or -2\/183?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 3. Let t = -4 - n. Let g(k) = 12*k + 1. Let z(f) = 13*f + 1. Let o(c) = 7*g(c) - 6*z(c). Determine o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -107 (c) -5 (d) -11 (e) -2\/419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6. Suppose -2*c + 3*q - 2*q - 3 = 0, -4*c - 1 = 3*q. Let h(b) = 1. Let x(f) = c*s(f) - 6*h(f). Let v(z) = 2*z**2. Calculate v(x(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -474049.072 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 26. Let j be x(-4). Suppose 0 = -4*b - 5*i + 485, 5*b - j*b + 2*i - 362 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 886100 to the nearest 10000.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 24?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 201 + -203 + (0 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694*i = 682*i - 252. Which is smaller: -22 or i?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35*-1 + (-5 - -5). Let a be (-14)\/q + (-333)\/(-5). Suppose 2*x + 19 = a. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109.3 + 90. Let d = -19 - y. What is the biggest value in 0, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248942816 divided by 8994?\nAnswer: -138864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = -3*n. Suppose -65 = -4*c + 2*c - u, 25 = c - u. Let h = n + c. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 10 - -19) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/3 + 56*y**3\/3 - 332*y**2\/3 - 280*y - 150.\nAnswer: -2*(y - 15)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 300*v - 8. Let l(u) = -5833*u. Determine l(y(a)).\nAnswer: -1749900*a + 46664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g - 3456 = -37*g. Calculate the highest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3355248246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7886, -7922, -8012, -8180, -8450, -8846, -9392, -10112?\nAnswer: -11030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*c + 17816 = 526*c. Solve c*l = 134*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478500 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 9 - 6 = 0. Let r be (-66)\/18 + (-2)\/q. Is 9 a factor of (10 + -4)\/r + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121111222022 (base 3) in base 12?\nAnswer: 56b2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284543.8 + -1.5?\nAnswer: -1284545.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101773 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 11. Suppose -3*v + 16 = 1. What is the highest common divisor of v and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4158.16 take away -4?\nAnswer: -4154.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49022 or -49029?\nAnswer: -49029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1002 by 14.\nAnswer: -501\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/12)\/(f\/(f\/(f\/f**1))))\/((f**(-7)\/f)\/(f\/(f\/(f\/(f**(10\/3)*f))*f))) assuming f is positive.\nAnswer: f**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 439*d + 3 - 882*d - 7 + 447*d.\nAnswer: 4*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-30)\/(-4))*(2800\/260)\/(-28).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -21155.\nAnswer: 3\/21155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 64. Suppose -o = -i*o. Let a be o\/(-20) + 1 + 1. Solve -a*k + 6 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71.661 and 51.\nAnswer: -20.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.7 and -180044276.\nAnswer: -180044280.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15332 (base 10) to base 11\nAnswer: -10579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47324?\nAnswer: 2, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 26. What is the second smallest value in 0.2, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from hksskssbhhbh?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464903 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/9 at most 5\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.292705.\nAnswer: -3.878115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 22 - 12. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:54 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2090207521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 2) + (-28)\/4. Which is the nearest to -1? (a) -16 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/280 and 37\/6720.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + -2 + (sqrt(275) + -3 - sqrt(275))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3025604 micrometers to kilometers.\nAnswer: 0.0000000003025604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184 divided by 152828.\nAnswer: -296\/38207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -957132.\nAnswer: 41\/957132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 779714.31 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20341244 (base 5) in base 8?\nAnswer: 510604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 82029?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 79939884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**5\/8 + 41*s**4\/2 + 2557*s**3\/8 + 1059*s**2 - 99*s\/2 - 810 = 0.\nAnswer: -6, -1, 4\/5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-1)\/(-24)). Let k = -44 - -46. Let z be -2*2*2\/(-4). Solve -z*h - k*h = -b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x*x*x\/(x*(x\/x**(-6))\/x)))*x*x\/(x*x*x**(4\/5))*x*x**(-4\/7)*x*x*x*x\/(x**(-4\/3)\/x) assuming x is positive.\nAnswer: x**(206\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20 - 0)*(215\/20 - 3). Let w = l + 2121. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcdvhvycdv. What is prob of picking 1 h, 1 d, and 1 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3*3 - -8) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89, 15, 503, 1567, 3399, 6191, 10135?\n\"Answer: 32*b**3 - 120*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 4*g - 26)*(-158*g**3 + 359*g**3 - 158*g**3 + (-2*g + 3*g + 0*g)*(-4*g**2 + 2*g**2 - g**2)) as v*g + o*g**3 + n + b*g**4 + r*g**2 and give b.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001110111110111 + -100000?\nAnswer: 100001110111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*f*i**3 + 3366670*f + 12072349*i**3 wrt f.\nAnswer: 7*i**3 + 3366670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**4 + 0*m**4 + 2*m**4)*(-1 + 2 + 2)*(-m - m + 0*m).\nAnswer: -42*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -10 - 8) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*p + 4, 20*p - 5*b = 19*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 158 = -19*j + 5*s, 2*j - 120*s + 122*s - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:52 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 16 = s + 26, -4*s - 5*i = 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4446 - 4446. Let p(n) be the second derivative of -1\/6*n**3 + i + 0*n**2 + n. Determine p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 2:31 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 2:59 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -31)\/(-1 - 1). Suppose 3*n - 5*k + 4 - 3 = 0, 2*k + j = 5*n. Find the third derivative of -n*o**3 + 0*o**3 + 16*o**3 - 9*o**2 wrt o.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141027 + 1131?\nAnswer: -139896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -398*d**4 - 1496*d**3 - d**2 + 3442926*d wrt d.\nAnswer: -9552*d - 8976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2600763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**3 + 40*b**2 - 224*b = 0.\nAnswer: -14, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 - c**4\/6 + 2*c**3\/3 + c**2. Let n be 3 - 2 - (6 - 1). List the prime factors of m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:09 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437208 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 + -9 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 28. Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:20 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from axxmqxaxqxma?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3283.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/23 - -35\/92. Let o be ((-6)\/36)\/((-4)\/6). Find j, given that -1\/2*j**3 - o*j**4 + 1\/4*j - 1\/4 + 1\/2*j**2 + i*j**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49088 and 3?\nAnswer: 147264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82004 by 2158.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342.8066 millilitres to litres.\nAnswer: 0.3428066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 11*p**2 - 11*p - 8. Let d be w(12). Suppose -f = -d + 1. Solve 29 = -4*t + f*r, 19 = -4*t + 5*r - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -137 + 7513388?\nAnswer: 7513251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328950643.\nAnswer: 1328950643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1518 and 3\/1012.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145931 rounded to 4 decimal places?\nAnswer: 0.1459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 53. Sort p, -2, 31 in decreasing order.\nAnswer: 31, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15524, -2, 22, -8, -1 in decreasing order.\nAnswer: 22, 0, -1, -2, -8, -15524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/60 + o**3\/6 + 4*o**2. Let j be x(-1). Solve 2 - l**3 + 7 + 15*l**2 - 21*l - 2*l**j = 0 for l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = 11*y + 5053. Let r = y + 1322. Round r to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -3)*(-6)\/(-4). Let p(m) = -8*m - 2. Let w be p(2). Let x be (12\/w)\/((-4)\/(-6)). Sort g, -5, x in increasing order.\nAnswer: -5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 - -17?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30572 is divided by 8943.\nAnswer: 3743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 16*t**2 + t + 10. Let c be d(8). Suppose -j - 2*u = -9, -2*j + c = u - 2*u. Calculate the common denominator of -22*j\/(-24)*2 and 7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297590443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3 + sqrt(75) + 1 + sqrt(75) + sqrt(75))*-6)**2.\nAnswer: 3240*sqrt(3) + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(3\/8)*(r**4\/r)\/r*(r\/r**(-7\/5))\/(r\/r**(-6)) assuming r is positive.\nAnswer: r**(-49\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/6 - 61*h**3 - 5642*h**2 - 33124*h\/3 = 0 for h.\nAnswer: -182, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 7*h - 6. Let s = 1631 + -1637. Let z(r) = -3*r**2 + 15*r - 13. Calculate s*z(c) + 13*o(c).\nAnswer: 5*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0 (c) 20 (d) -1\/2 (e) -3\/56 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 15*g**2\/2 - 34*g - 42.\nAnswer: -(g + 2)*(g + 6)*(g + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -3.1. Do 1 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 2*o**2 + 2*o. Let l be v(-2). Suppose 240 = 3*m + 4*p, -l*m = -2*m + p - 160. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 6, n: 5, w: 7}. What is prob of picking 2 w?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 7*x\/3 - 2.\nAnswer: -(x - 2)*(x - 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 1 - 6. Suppose h = -z + 15. Let x = 32 - z. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -7*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.8081 years in centuries?\nAnswer: 6.238081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 56\/(-12))\/(1\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 47245742993.7?\nAnswer: -47245742999.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10110110101101011111010 (base 2) to base 6\nAnswer: -332153522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 792?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -3*t - 4*d - 0*d, t = 5*d + 102. Suppose -5*b = 5 - 70. What is the highest common factor of t and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 44. Suppose -5*w = -4*l + 16, -w = -5*l + 2*l + 12. Solve -l*a = -z, -a = -4*s + 4 - 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 13774224*g + 94864623401088.\nAnswer: (g - 13774224)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -251933 + -1.442001?\nAnswer: -251934.442001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.069 from -0.28.\nAnswer: -0.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -215, 69, 427, 721, 813, 565, -161?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-20) - ((-16)\/(-5) - 4). Let s be (n - (-4)\/7)\/((-74)\/(-518)). Let p be 0 + 1 + (-1 - 2). Which is the biggest value? (a) 0.1 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:58 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1584\/56227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g + 70*g = -28. Let w(m) = -80*m. Let o be w(-1). Let a be 1\/7 - o\/g. Solve a*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and (-21)\/14 - (-10)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 2 - 3*p**2 + 1 + 9. Suppose -t = t. What are the prime factors of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 11 + 9 = -2*w, -2*w = 4*x + 20. Let z(a) = a**2 + 7*a - 7. Let d be z(w). Let q = 39 - d. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + 2 + 3 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12439.0017 + 12463. Let z = x - 24. What is z rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 4650*d - 1081125 = 0 for d.\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24 = -5*l. Let r be (-1)\/6 - (-50)\/l. Let i be (0\/3)\/2 + r. Solve 0*y = i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*t**2 + 11871*f**2*t*u + 156993*f**2*u**2 - 10*f*t*u - 2*t**2*u**2 wrt u.\nAnswer: 313986*f**2 - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 5 = -13*p - 13, 9*p - p = -3*n + 46 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 2. Let f = -0.034 - -0.564. Let n = 0.03 - f. What is the second smallest value in n, k, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111 + 10010011100101?\nAnswer: 10001111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*f - 33684 - 4312. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3 (c) 0.08 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 2:27 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 96, 700 in increasing order.\nAnswer: -7, 3, 96, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*n**2 + 609*k**2*n - 680*k*n - 12*n**2 wrt k?\nAnswer: -4*n**2 + 1218*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4450 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**(-25))\/s*s*s*s*s**(-15))\/(s*s**(-15)*s**(1\/8)))**(2\/25) assuming s is positive.\nAnswer: s**(223\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w + 127*w - 2428089 = 1040757. What are the prime factors of w?\nAnswer: 2, 41, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2 = 2*t, 4*i - 5 = t + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 35 = -30*q - 27. What is the closest to -1 in q, 3, 26, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**3 - 46*n**4 + 4*n**2 + 51*n**4 - 2*n**2 + n**3 + 3*n in the form f*n + a*n**4 + i*n**3 + s*n**2 + b and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*w = -5*w - 48 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4386 is divided by 720.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -106.96. What is the nearest to 0.1 in d, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.2. Let w = 1.40522 + -2.40522. What is the closest to 0.6 in o, w, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*28\/(-441) - 6\/14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 11 - -4*(-7)\/(28\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 185 = 65. Suppose l = 4*a + h, 0 = 2*a - 0*a - h - 18. Let y(r) = 12*r - 5. Is y(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6701*y**3 + 1205*y**3 + 5493*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*l = -1123, -18*l = -13*l + 5. What is the greatest common divisor of 99 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4257*h**3 - 2652105*h**2 + 5283456*h + 7452 = 0.\nAnswer: -2\/1419, 2, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3)\/m*m)**(-1\/21)\/(m**(-9)*m*m*m\/(m*m**(2\/3))) assuming m is positive.\nAnswer: m**(482\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168625 by -2224.\nAnswer: -168625\/2224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9927312.6 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*m = 22, -s + 0*m - m + 5 = 0. Suppose 3*z - 4*x - s - 8 = 0, 4*x + 8 = 0. Suppose -z*d + 33 = -19. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -33, -78, -161, -294, -489?\n\"Answer: -2*t**3 - t**2 - 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 190600345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 2*i - 4. Determine o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -1\/6*l**4 + 0 - l**3 + 299\/20*l**5 + 10*l**2 - 4*l. Let s be n(14). Round s to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 - 3*w**4 + 0*w**4 + (5*w**3 - 3*w**3 - w**3)*(1 - 1 + 2*w) + 58*w**4 + 7 - 7 to the form z*w**2 + a*w + g*w**3 + r + t*w**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = a + 2*f, -3*f - 12 = -4*a + 3*a. Let j(h) = -h**2 + 4*h - 1. Let i be j(3). Let y(x) = -1 + 0 + 3*x + x**i + 0*x**2. Give y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**4\/2 - 5250*u**3 + 1370841*u**2\/2 + 2809992*u + 2119320 = 0.\nAnswer: -3, -1, 140, 3364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:04 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 14771*i**4 + 2*i - 98*i**3 + 14768*i**4 - 5*i in the form n*i**2 + r*i**3 + t*i + d*i**4 + u and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m**(12\/11)\/m))\/m*m*m**(-24)*m\/(m\/m**(-8\/5))*m\/(m*m*m*m**(-3\/20))*m*m*m assuming m is positive.\nAnswer: m**(-4959\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1299 or 1300?\nAnswer: 1300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*h**2)*(6 - 6 + 3)*(38 - 38 + 15*h**2).\nAnswer: 90*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from rjcuuvr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 101212110?\nAnswer: -101212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 103, 4 in decreasing order.\nAnswer: 103, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -24.6.\nAnswer: -147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 + 275 = -3*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let b(d) = -159*d**2 + 91*d. Give k(b(v)).\nAnswer: -159*v**2 + 91*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 11*o + 27. Let f be k(-7). Let t(x) = x + 11. Let q be t(f). Suppose -6*h = -q*h + 3604. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1) + 6\/2. Suppose s*t - 4*w = -0*t + 8, 4*t - 5*w = 5. Let o(c) = -c + 7. Give o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 9*k + 8. Let v be l(4). Suppose -3*c + 479 = v. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*t + 43426 + 18764*t - 43426 as w + y*t and give y.\nAnswer: 18967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) -8\/7 (c) -2\/603\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 7*h**2 + 11*h + 2. Let m be g(-5). Suppose -4 = -15*u + 11*u. Let b be (2 + (-7 - -3) + u)*1. Put 3, m, b, 2 in increasing order.\nAnswer: m, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + ((2*sqrt(1300))**2 + -3 + sqrt(1300) - sqrt(1300) - sqrt(1300) - sqrt(1300)).\nAnswer: -10*sqrt(13) + 5197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.4566*12.\nAnswer: 365.4792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -718, -21\/25, 0 in decreasing order.\nAnswer: 2, 0, -21\/25, -718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -67*x - 10663. What is s(-144)?\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -452 + 727. What is the greatest common divisor of 22 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 0.07. Which is the biggest value? (a) -1\/3 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**2\/11 + 2855268*b\/11 + 339689806326\/11 = 0. Calculate b.\nAnswer: -237939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 162.1821 tonnes?\nAnswer: 162182100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.8 - -0.8. Let u = -12.6 - f. Let y = u - -1.6. Is 0.2 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4*q - 2*l**4 + 2133*l**3*q - 2*l**3 - 613*l**2*q + 2*l + 2*q - 1 wrt l?\nAnswer: 72*l*q - 48*l + 12798*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 448.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2 - 69)*1. Let v(h) = h**3 + 9*h**2 + 11*h - 6. Let q be v(-9). Let z = r - q. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 48*u - 52. Calculate x(-49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1042.48 - 1.44.\nAnswer: 1041.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g**2 - 922*g**2 + 240*g**2 + 843*g**2.\nAnswer: 239*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3765*x - 688685 + 688685.\nAnswer: -3765*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 37609646 = -14*w + 59*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275 - -0.476\nAnswer: 275.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5 - 2*h**2 - 3*h - h + 0*h - h**3 - 2*h**2. What is the units digit of q(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 321690, 321678, 321666?\n\"Answer: -12*v + 321702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9 - 4*z**2 - 8 + 2*z - 3*z - 96874*z**3 + 3. Suppose -m - 11 = 3*o, 0 = -m - m - 5*o - 17. Let k be b(m). What is k rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/1008 + 2*i**7\/315 + i**6\/90 - 2*i**2 + 300. Factor b(c).\nAnswer: c**3*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-5))\/((-9)\/30). Suppose 5*r = j + 65, r - 6*j - 32 = -2*j. What is the greatest common divisor of r and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/(-21)*(-2)\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*j + 4*d, -3*j - 2*d = -j - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250159685 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -641114.5 take away 94800?\nAnswer: -735914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137.708 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 158. Suppose -72 = l + s - 261, x*s + 174 = l. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*h**5 + 220*h**5 + 486*h**5 + (-5*h**3 + 0*h**3 + 4*h**3)*(-h**2 + 0*h**2 + 2*h**2) + h**5 - 3*h**5 + h**5.\nAnswer: 625*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.99 + 41. Which is bigger: -1\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 254073*t - 4827384. What is w(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297 + 259. Sort j, 4, -3 in decreasing order.\nAnswer: 4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8773, 17533, 26285, 35029, 43765, 52493?\n\"Answer: -4*v**2 + 8772*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*t - j, -5*t - 194*j = -196*j - 164. What is the remainder when 654 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260740312 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 10. What is the closest to p in -2\/17, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 1370*z**2 - 24 + 2*z + 4*z**3 + 1369*z**2 - z to the form g + y*z**2 + f*z + s*z**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14785 - -14850. What is the greatest common divisor of b and 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264164984 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(((-23)\/(-69))\/(4\/(-18))). Let p be (o\/48*9)\/(10\/(-40)). What is the nearest to 1 in 0.05, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5 - 55. Let p be (-4)\/f + (-312)\/20. Calculate the lowest common multiple of ((-26)\/(-3))\/(p\/(-24)) and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37204662 or -37204664?\nAnswer: -37204662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -183, -255, -309, -339?\n\"Answer: v**3 - 91*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 1650?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16353 - 239.\nAnswer: 16114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -6, -8, -12, -18?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2 = -4*j, 5*j + r = 4*r - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + p**2 - p - 1. Let z be i(-1). Let y = 5 + -2. Suppose 22 = -y*d + 100. Solve -5*c + d = s, -3*c + 19 = -z*s + 7*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 = -3*a - 57, 2*m = -4*a + 12. Suppose 0 = -s - m*s. Solve -10*f + 14*f + 20 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135*q + 136*q - 4*q**2 - 392*q + 133*q.\nAnswer: -4*q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102942738 divided by 54?\nAnswer: 1906347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3167 divided by -58\nAnswer: 3167\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238665923?\nAnswer: 193, 1236611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/(-4)*(-5)\/115?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**6\/180 + j**4\/12 + 2*j**3\/3 + 1. Let h(f) be the third derivative of w(f). Let h(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 15 = 5*c - 2*s, -9 = -3*c + 2*s. Suppose 3*o - x = -17, -o - c*o + 4*x = 36. Let z be ((-7)\/(-49))\/(o\/(-14)). Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 9*v**2 - v - 5. Suppose 0 = s + 4*m + 7, -12 = -3*s + m + 6. Let w(c) = -c**3 - 5*c**2 - c - 3. Calculate s*w(l) - 3*j(l).\nAnswer: l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -1058, -1614, -2190, -2786?\nAnswer: -3402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -77. Let j = i - -12.4. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(1\/27)\/((j*j**(-2\/3)\/j)\/(j\/((j*j**(-1)\/j*j)\/j))) assuming j is positive.\nAnswer: j**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 6 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333036 (base 8) to base 5.\nAnswer: -12042113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4630201*a*l**2 - 3871296*l**2 wrt a.\nAnswer: -4630201*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 6339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 912083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -250 and -2.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -13, 1.7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zeeezzzzzezzezee.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505189 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = b, 2*b = -2*t + 216. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 + 435725*d + 1742820 = 0. What is d?\nAnswer: -87141, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = -10. Suppose -3*c + 3*h - 12 - 36 = 0, 4*c + 60 = 5*h. List the prime factors of (-185)\/c - (-1)\/r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-13 + (-3)\/((-6)\/4)). Calculate the greatest common divisor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103698 and 14238?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 26 = -2*x. Let j be 2\/(-8) - x\/4. Suppose -3*f = -3*p + j, 3*f + 0*p = -p + 5. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/2 + 25116\/(-819))\/((-10)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 16*d**2 - 7*d - 12. Let w(a) = -33*a**2 + 25 + 2*a**3 - 2*a**3 + 14*a + 2*a**3. Let h(t) = 6*w(t) + 13*x(t). List the prime factors of h(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/140 and -81\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11128*l**3*v**3 + l**3*v + 3*l**3 - 1200*l**2*v**3 - 2677*v**3 wrt l.\nAnswer: -66768*v**3 + 6*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -12, -4, -1, 20, 3 in increasing order.\nAnswer: -36, -12, -4, -1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -67305, -0.1, -1, -3\/2 in increasing order.\nAnswer: -67305, -3\/2, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4400.045 - -4415. Let a = v - -0.045. Is 2\/3 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 4*k + 7*k - 6*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 + 3442*u**2 + 18964*u?\nAnswer: -6*u + 6884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 14570\/102033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -61.7.\nAnswer: -60.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 492 - 4620 = 0. Let r = x + -342. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -6*b - 152 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73271212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 1485444*q.\nAnswer: -4*q*(q - 371361)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 63*n - 330. Calculate the smallest common multiple of o(5) and 354.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:32 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**22)**(-23)*z**(-2)*(z*(z\/(((z**(-8\/5)*z*z)\/z)\/z))\/z)\/z*z\/(((z**(-4\/3)\/z*z)\/z)\/z)*(z*z**2)\/z assuming z is positive.\nAnswer: z**(625\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810 and 546250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = q + 2, -8 = 5*q + 2*z. Which is the nearest to 0.1? (a) q (b) 1\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 105. Calculate the least common multiple of f and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82994299 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18525916 to the power of 1\/2, to the nearest integer?\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3\/2 - 228*n**2 + 13662*n = 0.\nAnswer: -198, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 13. Let t = 11 + 1. Let l = t - 15. What is the biggest value in f, l, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 + 0*s**5 + 1\/15*s**6 + 0*s**3 + 0*s**4 - 3*s + 2*s**2. Differentiate b(i) wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1159228.6.\nAnswer: -579614.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 152\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1699, 3.\nAnswer: -1699, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (10 - 0) + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724086.\nAnswer: 2, 29, 67, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/60 + s**4\/6 - 2*s**3\/3 - 3*s**2. Factor z(q).\nAnswer: -(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35.24 and -0.0181506.\nAnswer: -35.2581506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 15 = -8*h. Suppose 3*z = -4*m + h, 6*m + 26 = 4*m + 4*z. Let o(g) = -g**2 - 2. Give o(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -2\/7, -14, 0.5, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2316*n**3 + 12*n**2 - 12*n**2.\nAnswer: -2316*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 15*r - 2*i = 24, -3*r + 4*i + 52 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 16) to base 13.\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, -98 in descending order.\nAnswer: 10, 0, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)*g*g*g**(-5)*g*g*g**8\/(g*g*g\/(g\/g**(-1)))*((g\/(g\/g**(2\/5)))\/g**(3\/4))\/(g*g\/((g*g*g**(-3\/11)*g*g*g)\/g*g)*g*g**(1\/5)) assuming g is positive.\nAnswer: g**(-401\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(396)*1*2)**2.\nAnswer: -4755 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-19))\/(4\/8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 + 225*r + 752. Give b(14).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - 110304?\nAnswer: -110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v + 5894 = 62*v. What is v rounded to the nearest ten?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*n**3 - 72*n**3 - 219*n**3 - 127*n**3.\nAnswer: -596*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 6933046 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-2)\/(-3)). Let l be j - -1*(2 + -4). What is the units digit of (7\/(-7))\/(l - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -33. Let k(n) = 3*n**3 - 3*n**2 + 3*n - 1. Let a(l) = l + 7. Let m be a(-6). Calculate the least common multiple of b and k(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i + i + 1708 = 8*i for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.6 + 0.0315?\nAnswer: 50.6315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t**3. Let y(w) = -4714*w**3. What is 5*b(s) + y(s)?\nAnswer: -4649*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -764 + 2287. Which is bigger: 1522 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(180\/25)*18\/45\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -3. Suppose q*u - 74 = -14. Let w = 11 + 9. Calculate the lowest common multiple of w and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1098 - 1111. Suppose 424 = -3*l + 7*l. Let q = l + z. List the prime factors of q.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -836 at most as big as -833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z. Solve z = 4*i - i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 - 530*h**3 + 421350*h**2 - 148877000*h - 1858. What is n in k(n) = 0?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1404 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38540 is divided by 470.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1082 and -1080 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -755653*f**2*j**3 - 64*f**2*j + 437653638*f**2 wrt j?\nAnswer: -2266959*f**2*j**2 - 64*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 20 - 20. Let m(c) be the second derivative of -c**7\/2520 - c**4\/4 - 2*c. Let y(u) be the third derivative of m(u). Determine y(t(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24704, 49400, 74068, 98702, 123296?\n\"Answer: -y**3 - 8*y**2 + 24727*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxezcxgg. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 206, 203, 298, 539, 974, 1651?\n\"Answer: 8*j**3 + j**2 - 62*j + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*s**3 - 88*b**3*s - b**2*s**2 - 17*b*s**3 wrt s?\nAnswer: 6*b**3 - 102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o + 817*o**3.\nAnswer: 817*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 + d + 9. Let g(o) be the second derivative of -11*o**4\/12 - 2*o**3\/3 - 13*o**2 - 189*o - 7. Calculate 6*g(p) + 17*n(p).\nAnswer: 2*p**2 - 7*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -209, -5\/4, 34, 1\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -312 or 2\/85?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - q = -5*p - 20, -p = -2*q + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k - 62*v + 66*v + 33, 0 = 2*k + 2*v + 24 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:24 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-9)\/21) + (-656)\/1008?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -565455 (base 7) to base 16.\nAnswer: -18828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**2\/2 + 43. Let p(i) = -36 - 7*i + 0*i + 33 + 11*i. Determine x(p(m)).\nAnswer: -4*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -49. Let m be 3\/6*-232*-1. Let b = -153 + m. Is c equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*n - 8 = 0, -2 = -2*n - 0*n. Suppose d + s = -d. Put 0, d, -8 in descending order.\nAnswer: 0, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 1651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/63 + 5244\/(-21))*1. Let g be 20\/k*2*(-15)\/12. Suppose -1\/5*r**2 + 0 - g*r = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*p + 42 = 0, 0 = 4*t - p - 48 - 36. Let r = t + -15. Suppose 2*z = r*z - 176. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 21.89. Let v = -5.11 + h. Let q = -1345 + 1343. What is the third smallest value in -0.8, v, q?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76503815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3\/4, -1\/5, -3, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*(n**(-18)*n)\/n*n**(-2\/7) assuming n is positive.\nAnswer: n**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*t = 96*t + 150. Let o(c) = -c**3 - 11*c**2 - 6*c + 13. Determine o(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 less than -416.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/2*(273\/(-28))\/(-13)*24\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 8. Let d(f) = 2*f - 36 + 112 + z. Is d(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 6. Suppose 0 = 4*a + w + 25, -w + 5 = -2*w. Let p be n(a). Solve -p - 2 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 + 73206*x**2\/5.\nAnswer: -x**2*(x - 73206)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 705537 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) + 217\/5. Suppose -k - 15 = -f, -3*f + 0*k + 5*k = -l. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -79 + 14 + 36 - 7*j. Let c be m(-21). Suppose 0 = 14*r + c - 678. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -212*q + 228*q - 1032192. Is 288 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023958158 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1373, 1371, 1369, 1367, 1365, 1363?\n\"Answer: -2*n + 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 3*c = 16*f - 14, -3*f - c = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, 4, 1\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.97 + -0.03. Let u = 0 - a. Let b = u + -5. Which is bigger: -10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70022, 140315, 210608, 280901?\nAnswer: 351194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2024343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941*l + 11500 = 36907 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17498 = -65*y + 194597. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 20 = -3*d, 260*d = 5*b + 257*d + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + (-70)\/(-6). Let h(r) = r**3 - 11*r**2 - 9*r - 5. List the prime factors of h(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -7, 28, 3 in descending order.\nAnswer: 28, 3, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = -5*s, 0 = 4*f + s - 2 - 10. Let w be f\/12 + 6\/8. What is the closest to -0.1 in w, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13129504 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - -2)\/(-3*(-5)\/(-5325))?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.523953693 to five decimal places.\nAnswer: 0.52395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:13 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 124 = 4*k. Suppose 32 + k = 3*h. Let t be 2\/7 + 36\/h. Solve m = t*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/25)*j)\/j**11*(j**(-1)\/j*j)**(-43))**(-22) assuming j is positive.\nAnswer: j**(-18194\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (4 - 11 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 32 = -5*a, 2*a + 3*j = 3*a - 9. Calculate the highest common factor of a and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 5482088339?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 45*j**2 + 177*j - 13. Give o(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*sqrt(1911))\/sqrt(3)*-4)**2.\nAnswer: 326144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96.025 + 96. What is the closest to 2\/5 in 0.5, v, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13 + 13 + 6*z. Let c(g) be the first derivative of -27*g**2\/2 - 1639. Calculate c(n(m)).\nAnswer: -162*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.56458454 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i*(i**(-4)\/i)\/i*(i\/i**(-2))**(31\/2))**(-19\/6) assuming i is positive.\nAnswer: i**(-513\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 31*v - 71 - 97 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**3 + 80*c**2 - 320*c = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10)*2*-5. What is the third derivative of 4*x**y - x**4 + 4*x**2 - x**4 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/22 and 105\/484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.14 + 21.14. Let p = -19 + c. What is the smallest value in p, -2\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1408)*-1 - sqrt(1408))\/sqrt(2))**2*-2.\nAnswer: -5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -45*i - 1124. Determine a(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 18*r**2 - 39*r + 17. Let z(t) = -t**3 + 14*t**2 - 3*t + 30. Let a be z(14). Is h(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100383 and -0.04.\nAnswer: -4015.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/36 + 1)*(1 + 70\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - i**2 - i**2 - 1 + (0*i - 3*i + 4*i)*(0*i + i + i) + 0*i**2 + 5*i**2 - 3*i**2.\nAnswer: 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -7*r**4\/5 - 483838*r**3\/5 + 18050169*r**2\/5 + 13278068*r\/5 - 5255932\/5 = 0.\nAnswer: -69157, -1, 2\/7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:16 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101637477*j**3 + 50818735*j**3 - 1 + 1 + 50818738*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2925, -2918, -2913, -2910, -2909, -2910, -2913?\n\"Answer: -t**2 + 10*t - 2934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 2*q**3 + 3*q**3)*(291*q**2 + 428*q**2 - 48*q**2).\nAnswer: 2013*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1a?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.68 - -0.08. Let p = 3.85229 + -0.85229. What is the closest to 0.1 in n, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103330 (base 5) in base 15?\nAnswer: 10e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80*(-5)\/(-480))\/((-80)\/(-18)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-23*x - 2 - 1 + 11).\nAnswer: -69*x + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235052003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6695 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w. Let z(j) be the second derivative of w + j + 0*j**4 + 0*j**2 + 1\/3*j**3 - 1\/20*j**5. What is the second derivative of z(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -4 (b) 2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98209187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -9 - 1. Does 31 divide 1764\/28 - u*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 3, q: 2, n: 1, c: 3, p: 1}. What is prob of picking 1 n and 1 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5888.16081 minutes?\nAnswer: 0.5841429375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -3 + 51 - 49\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*g + 20, -5*b + 2*g + 3*g = 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*f + 21, 0*s + 4*s + 5*s + 4 = -4*f + 8*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:10 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*q - 5519, 5*q - 6910 = -0*q + 5*j. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 6) in base 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16317 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-28))\/((-16)\/(-28)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/5 + 82608*v**2\/5 + 546803472*v\/5 + 1174045980416\/5.\nAnswer: 4*(v + 5534)**2*(v + 9584)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-354)\/(-4) + (-2)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 1)*(6 - 8 - 4) - 5 + 3 + 3 + 0 - 4 + 3 - 4 + 3 + 2 + (3 - 2 - 2)*(-2 + 4 - 3) + 3 - 3 - 2 + 4 - 1 - 1)*(0*i + 0*i + i).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2642 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*(a**11\/a)\/a*a**(-4\/5)*(a*a**7)\/a)**(-29\/4) assuming a is positive.\nAnswer: a**(-3509\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**5\/3 - 848*y**4 + 2536*y**3 - 7600*y**2\/3 + 844*y = 0.\nAnswer: 0, 1, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 214835531 to the power of 1\/2, to the nearest integer?\nAnswer: 14657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + l + 35. Let n be p(0). Suppose 15 + n = 5*h. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111000011101 + -101100?\nAnswer: -10010111001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(5*o + 0*o - 3*o) + (-3*o - 2*o + 2*o)*(-4 + 1 + 4).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -487.01 and 0.2.\nAnswer: -486.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5440\/(-128) + 30)\/(((-110)\/16)\/(3\/6)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12719246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-6 + -40 + 35) - -32.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 102. Let z(o) = -o**2 + 13*o + 18. Let c be z(r). Solve -w + 2*d = -c*w - 15, 3*d = -w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4512 = 2*c + 2*c + 3*d - 4504, 7*d + 26 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(228) - sqrt(228)) + sqrt(228))*-2)\/(sqrt(48)\/(sqrt(64) - sqrt(4))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 9. Suppose -4 - 29 = -3*w. Suppose -w = -5*d + 24. Solve 5*v = -d - r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 4\/3 (c) 10\/7 (d) -2\/9 (e) -3\/32 (f) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 5*t + 6. Let f be o(5). Let k = -4 + f. Let j(m) = 70*m - 33*m - 35*m - 3 - 2*m**2. Calculate j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68.51*169.\nAnswer: 11578.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 10*r**2 + 3*r + 9. Let w be c(-10). Let h = 99 + w. Suppose 5*q = 4*v + 130, h = 4*q - v + 3*v. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14166680 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1))**(2\/39)\/(u**4*u**7))**(-1\/8))**(-41) assuming u is positive.\nAnswer: u**(-17671\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(833)*-6*4.\nAnswer: -1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(637))*-1 + 5)**2.\nAnswer: -84*sqrt(13) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -16, -31, -54, -85, -124?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + (sqrt(242) + 0 - sqrt(242)) + 4 - (sqrt(22) + sqrt(22) + sqrt(66)\/sqrt(3)*1)\/(-1*sqrt(1331))).\nAnswer: -3 + 3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 11. Let f(y) = -5*y - 11. Let j(v) = -5*f(v) - 6*z(v). What is j(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 - 224. What is the least common multiple of v and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*k - 2*i + 6*i, 0 = -k + 3*i + 45. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 - -8 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -18. Let a(y) = -16*y + 3. Let s be a(b). Suppose 3*v = 5*j + 64, s + 13 = 2*v + 2*j. What is the remainder when v is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*r + 382*r - 68496 = -1184*r for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -543, 3\/13, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(1008) + -2 + 4*(sqrt(1008) + 5 + -1 - sqrt(1008)))**2.\nAnswer: -792*sqrt(7) + 9193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*j + 331, 2*v + 0*v + 440 = -4*j. Let p = j - -231. Let l = p - 42. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccsccscccscsfvvcv. Give prob of picking 1 f and 2 v.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -1012, -1765, -2846, -4285?\nAnswer: -6112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, -2, -3, -4, 4 in ascending order.\nAnswer: -4, -3, -2, 4, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j - 4*j + 868. What is the remainder when j is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 2*v**2 + 48*v + 63. Give c(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*m - 2*m - 33*m - 33*m - 30 wrt m?\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361728 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 28 - 7*t**2 + 2*t**2 + 0*t**2 + 4*t**2 to m + b*t**2 + p*t and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -129 - 3 - (20 - (12 + 32)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 41*b**2 + 2*b + 3. Suppose 5*h - 2*h = -1809. Let y = -6628\/11 - h. Find the common denominator of y and i(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 207 = 48. Suppose 3*o - z = -0*o. Let a = o - 61. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let x(i) = i**2 - i + 2. Let c be x(0). Let m(s) = -19*s - 82. Let n be m(-6). Let a(j) = n*j + j**c - 32*j. What is z(a(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 144.5 and -452413?\nAnswer: -65373678.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314722*p = 314516*p + 20394 for p.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 - 11319293*x + 11319292 = 0. What is x?\nAnswer: 1, 11319292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3416, -6823, -10230, -13637, -17044?\n\"Answer: -3407*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230618.\nAnswer: 2, 3, 205103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Suppose r - 9 = q*x, 0*r = r + 5*x + 12. Let m = r + 34. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1114*q - 1941. List the prime factors of w(14).\nAnswer: 5, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19273380067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2) + sqrt(2))**2*3 + sqrt(2) + sqrt(2)*-2 + -3.\nAnswer: -sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 272932.08 months?\nAnswer: 22744.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/((-4)\/((-32)\/4)). Suppose a = -5*w + 5*a - 14, -a = 4*w + b. Is 10 a factor of 2\/w + 1305\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2034.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 6*q**2 + 4*q - 3. Let p(c) = 2*c + 5. Let j be p(-5). Let w be k(j). Solve 0 = 5*o - 3*x - 13, 5*o - 23 - 10 = -w*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4930 is divided by 540.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 121281 + -96.35385\nAnswer: 121184.64615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35196\/11 < 3200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19943, -13007, -6071, 865, 7801, 14737?\n\"Answer: 6936*l - 26879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, m: 3}. What is prob of sequence mnm?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*q + 3238 + 18942 = 897*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 397490\nAnswer: 29\/397490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/90*117)\/(((-132)\/60)\/(-11)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36673512 by 330392.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/4 + 2*g**3 - 3*g**2\/2 - 5*g + 61. Suppose -3*s + w = -13, 0 = -3*s + 3*w + 2*w + 5. Calculate n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4 + 3053*m**3 - 76668*m**2 + 175663*m - 69046 = 0.\nAnswer: 1\/2, 2, 23, 1501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 22*q - 3 - 34*q + 23*q.\nAnswer: 11*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 1484?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 2, t: 3}. Give prob of picking 1 t and 3 m.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*d - 172543 = 0, -3*s + 34514 = -2*s + d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 1.1. Let l be (-1)\/(30\/(-58)) - 2. Let k = l - -7\/15. Which is the closest to q? (a) 4 (b) 2\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f - 68. Does 3 divide i(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = j + j - 18, -k = -2*j + 6. Suppose -2*r = 3*s + 2, k*r + 6 = -10. Suppose -s*l - 2*l = 4*m - 472, -591 = -5*l - 4*m. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 8*a - 29*a + (0 - 1 - 2)*(-a + 5*a - 3*a))*(-3 - 2 + 3).\nAnswer: 78*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1154 + -33?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 0, 0*f + 3*f = -y + 28. Let r be 0 + f + (-4)\/4. Let c = r - 7. Solve -4*l + 1 + 7 = 3*t, 0 = 4*t + c*l + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b**2. Let s(p) = 18*p**2. Give w(s(a)).\nAnswer: -3564*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:57 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 29188169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 6) in base 13?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let u(f) = 143*f - 16302. Let n be u(114). Put n, 5, 21, d in increasing order.\nAnswer: n, d, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1676.\nAnswer: -5028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-21)\/9*-3*(-495)\/(-1980)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -30 + (-3 - (1 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23012 - 4?\nAnswer: -23016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 + 3. Let n be g(5). What is the greatest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1552013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-11*(-4)\/8. Let u be (21\/(-2))\/(n\/44). Let l = u - -63. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 18.7. Let z(u) = -u**3 - 10*u**2 - 9*u - 4. Let k be z(-9). Which is the nearest to 0.2? (a) k (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1661741 divided by -1\nAnswer: -1661741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44770.25 millimeters to meters.\nAnswer: 44.77025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 3. Let h be i(2). Let t be (h - 2)*(-39 + 9). Suppose 4*o + t - 38 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -142*j - 1675. Give i(-6).\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 24*h - 62. Let s be i(-7). Let d be 12\/(-78) - 4\/(-26). Suppose d = 10*l - s*l. Solve x = -5*v - 28 - l, 4*x + v = -17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 31*p**7\/42 + 3*p**4\/4 - 31*p. Find the third derivative of y(x) wrt x.\nAnswer: 1860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c - 4*c)*(-3 + 3 - 2*c)*(c**2 + 4*c**2 - 2*c**2) + 4*c**4 - 4*c**4 - 6*c**4.\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1396 divided by 4367.\nAnswer: 1396\/4367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (118*i**4 + 33*i**4 - 44*i**4)*(54 + 92 + 112 - 177) as f*i**2 + z + w*i + k*i**4 + x*i**3 and give k.\nAnswer: 8667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 799 - 798. Let a(k) = 5*k**2 - 2*k + 1. Let m be a(i). Calculate the highest common factor of m and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 5*q + 16751*q**3 + q**2 - 16749*q**3 - 7 + 5*q - 11*q**4 + q in the form j*q**4 + y*q + c*q**3 + t + s*q**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -508 - -464. Is 25017 - (p\/(-12) - (-1)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 236. Let s = 376 - p. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -34. Suppose -p = -5*w + w. Solve 0*y = -w*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3927\/119 - (-30)\/(-2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(3\/7))\/c)\/(c**(2\/15)*c*c))\/(((c\/c**(2\/9))\/c)\/c**3)*(c**0)**(-2\/77)*c*c*c**(1\/5)*c**(-2\/11)*c assuming c is positive.\nAnswer: c**(15716\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*b - b + 26, 0 = 5*x + 4*b - 25. What is the closest to x in -0.1, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -5474.\nAnswer: -5469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3952, -6412, -8876, -11344, -13816, -16292?\n\"Answer: -2*u**2 - 2454*u - 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-672)\/(-40))\/(0 - (-8 + (-126)\/(-15)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68553655?\nAnswer: 5, 241, 56891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -131649660 divided by 3870.\nAnswer: -34018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 93?\nAnswer: -29\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeiemmeieemem. What is prob of sequence iim?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 12:43 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + f + 20, 2*f = -3*m - 0*f + 4. What is the first derivative of 8 - 7*x**4 - 17 + 20*x**m - 15 wrt x?\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Suppose -2*n - 14 = 4*q, z*n + q = 3*n - 11. Put -7, 4, n in ascending order.\nAnswer: -7, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -19. Suppose 4*i = s, 0 = -3*u + 5*i + 9 - 31. Let m be u\/(-4) + (-5)\/7. Is m < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-2031)\/(1 + 2). Let n(f) = f**3 - 7*f**2 + 32*f - 13. Let o be n(7). Suppose -o = 3*d - y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*((-5 - 3*i + 5)*(-4*i**3 - 4 + 4) + 0*i**4 - 3*i**4 + i**4).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 7*a + 75 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -454*c. Let y(m) = 44*m**2. Calculate p(y(s)).\nAnswer: -19976*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-28)*248\/(-310)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 126*x + 128. Let t be b(-64). Solve -4*g + 2 = -2*q, 4*g + q + 3*q + 4 = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Let a(r) = 3*r**2 - 5. Let x(j) = 2 - 17*j**2 - 16*j**2 + 32*j**2. Let o(y) = -2*a(y) - 5*x(y). Determine o(s(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 2*p**2 - 1. Let d be u(1). Suppose -d*s + 10 = 3*s. Suppose -4*g = 9*g - 117. Solve -4*t + g*t = 3*m + 3, -s*t = -m - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79515.61kg in milligrams?\nAnswer: 79515610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028957 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m + 3*o - 21, 0 = -4*m + 3*o - 51. Which is smaller: m or -168\/11?\nAnswer: -168\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*r + 65, -w - 34 = -18*r + 10*r + 12*r - 63 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 + 7*u**2 - 6*u - 3. Let j(f) be the second derivative of f**5\/10 + f**4\/4 - f**3\/2 - f**2\/2 - 8*f. Let y(t) = 5*j(t) - 3*n(t). Determine y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -274\/9 (b) -7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -161, -158, -155?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 289*v**2 - 146*v - 276. Give x(-144).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 2\/67, -1599?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 590 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 8136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 562267489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287 + -282. Solve -2*j + 27 - 3 = -4*t, -23 = j + d*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}