diff --git "a/data/dm_maths/full_data/1945_11255.jsonl" "b/data/dm_maths/full_data/1945_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1945_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of -9\/3982 and -85\/3982.\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 16537, -5, 0.2, -2\/15, 8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33755 = 2*o - v, 3*o - 69*v - 50633 = -68*v. What are the prime factors of o?\nAnswer: 2, 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 3, -4*j = -y - 22. Solve 11 = -j*n - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 19*z + 33. Calculate the remainder when c(22) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 10. Let k be m(-9). Let f be 1 + k + 9\/(-3). Is ((-50)\/(-3))\/((-2)\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 2*m**2 - 4*m**2)*(-1 + 1 + 3)*(-1 + 1 + 2*m).\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 60017*h**2 - 123744*h**2 + 51163*h**2 in the form v + j*h**2 + n*h and give j.\nAnswer: -12564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*j - 5 + 20, 4*j + 8 = -y. Let d be (7 + -1)*(-2)\/y. Let k be d - 0*(-4 - -3). Solve -5*q = -3*a + 10, 4*a - 19 = -k*q + 4*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnznnzrnnnlr. What is prob of picking 1 r, 1 l, and 1 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdhchahchahiahacahch. What is prob of sequence ich?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17844 - 470*x**2 - 17844 - 4*x**3.\nAnswer: -4*x**3 - 470*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7150 = o, 3*i + 10725 = -2*o - 2*o. Let d = -1002 - i. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*l = -4, 15*l - 12*l = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17923\/15 + 1195. Which is the nearest to 67? (a) 4 (b) -1\/2 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200110 (base 4) in base 11?\nAnswer: -46a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 17 - 5 - (-108 - -64)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07384721693 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*l + 6 = 2*l, -12 = y + 5*l. Let b(c) = -c**3 - 10*c**2 - 10*c + 7. Let a be b(-9). Solve -6*z + 2*z - 28 = -y*t, -4*z = a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from usuhhxqsn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05759 - 904.25759. What is n rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let t = i + 1.99999965. What is t rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -652*y - 172803. Give l(-265).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 77 divided by 1\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 1\/3*b**2 + 0 - 5*b + 1\/18*b**3 - 1\/36*b**4. Suppose a(v) = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 2, e: 2, j: 3, v: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**6\/2700 + 7*a**5\/900 + a**4\/30 - 2*a**3\/3 + 9*a. Let v(s) be the second derivative of o(s). Factor v(l).\nAnswer: 2*(l + 1)*(l + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = 0, 11*d = 38*d - 25*d + 19*y - 55 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -1, 5 in descending order.\nAnswer: 5, 4, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -21 - 139*k**2 - 144*k**2 + 27*k + 285*k**2. Let z be s(-14). Which is greater: z or -31\/5?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 112\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -685 by -5565.\nAnswer: 137\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 0, -57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 111 + 91 = 0. Does 11 divide (w\/8)\/(1\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 2001?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -27. Suppose -21 = -5*n - f, 3*f + 22 = h*n - n. What is the first derivative of -5 - 2*q - n + 2 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/123916 and -31\/6318.\nAnswer: 30111588","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -970 - -980. Which is the closest to i? (a) 1\/3 (b) -2\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/15 - (-2324)\/3.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134236723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {t: 1, u: 2, j: 8, c: 2, f: 5, g: 2}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 421821680*u\/9 - 22241691214752800\/9.\nAnswer: -2*(u - 105455420)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -495\/8 + 2623\/40. Let d = 1074282070\/130791843 - 3\/1117879. Let t = 43\/39 - d. Calculate the common denominator of i and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11469 is divided by 11389?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 2*k + 12 = 6*n, 0 = k. Let r be 7 + n\/(30\/25). Which is bigger: r or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 294 = -23*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75*u + 114*u + 109*u + 3)*(-3 + 6 + 0) - 6 - 7*u + 6 in the form h*u + c and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -880\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 747*v - 8814. Determine q(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.7 + 5.5. What is the fourth smallest value in o, 13, -2\/9, 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 61*k**2 - 53*k - 158. List the prime factors of z(-64).\nAnswer: 2, 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.04. Let y = 103 - 67. Let k be (3\/y)\/((-1)\/2). Put -0.1, c, k in descending order.\nAnswer: c, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300.99443 - 301. Round y to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -13, -44, -87, -142, -209, -288?\n\"Answer: -6*d**2 - d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 + 74692*y - 298704 = 0.\nAnswer: 4, 18669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v + 5. Let o(k) = 3199*k + 1186. Let m(u) = -6*f(u) - o(u). What is the derivative of m(q) wrt q?\nAnswer: -3163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + v + 14 = -7, 5 = -5*v. Suppose -5 = -q - o*i, -53 = -2*q - 3*q + 3*i. What is the remainder when (-6)\/15 - (-454)\/q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 11}. What is prob of picking 1 f and 1 q?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6233\/12900 + 314\/645. Calculate the common denominator of m and 109\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*c - 41*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 2*g + 0*g)*(-3 + 4 + 1) + 0 + 0 + 2*g - g - 2*g + g - 11440 + 10*g + 10*g + 11435)*(-3 - 2 + 4).\nAnswer: -16*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 9. Let k(x) = x**2 - i - 4 + 7 + x - 6. Is k(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 + 9*v + 12. Calculate the remainder when 57 is divided by u(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 2, 7, -3711, -5 in increasing order.\nAnswer: -3711, -5, -4, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*i*p**2 + 9481098*i*p + 2014*p**2 wrt p.\nAnswer: -156*i + 4028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 - (-160)\/28. Let f = -8 + i. Let x(y) = -y**2 - 4*y - 2. Determine x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (1 - (-9 + 25 - (6 - 5))) - 75?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -1 + sqrt(5) - sqrt(5))**2*-1 - ((-1 + sqrt(5))**2 + -3 - (sqrt(20) + 1)).\nAnswer: -323 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/7 - 1236*f**2\/7 = 0?\nAnswer: -618, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1260*o + 61. Is b(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(28)\/sqrt(4) - sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - 11.5. Let k = s + 27.499887. What is k rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7324398, 7324403, 7324410, 7324419, 7324430, 7324443?\n\"Answer: s**2 + 2*s + 7324395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/11)\/k**(-2\/19))\/(k*k**(-10)*k**(4\/5)) assuming k is positive.\nAnswer: k**(9059\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1 - (-6)\/2. Suppose -t + d*t = 635. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oseo when four letters picked without replacement from osoddoddoooodoeoeoo?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27357\/(-660) - -41)\/(12\/(-16)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7566.92 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 2, a: 1, h: 2}. Give prob of sequence gx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 + 240. Let o = 49.4 - i. What is the smallest value in o, 9, -0.03, 1\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53.99905 - 54. What is l rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**9\/7560 + a**7\/2100 + a**3\/2 + 14*a**2. Let j(x) be the first derivative of w(x). Let j(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 + 4*z**2. Let c(j) = -6*j**2. Let m(q) = -c(q) - v(q). Let r(h) = 4*h. What is r(m(k))?\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -133530140 (base 6) to base 3\nAnswer: -12002021202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -229, -215, -183, -127?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*b + 2872 = 0, -4*t + 3*b - 1741 = 4003. Let m = t - -4263. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**8\/14 - 2*w**4\/3 - 2*w. Find the third derivative of x(g) wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)*(-2 - 38380968). Let l = j - -63789166883\/1662. Let y = l + -1\/277. Find the common denominator of -35\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**38*x*x*x*x)*x*x)\/(x\/(x**(37\/4)\/x))*x**(-2\/17)\/((x*x**(-1\/6))\/x) assuming x is positive.\nAnswer: x**(-6671\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 126 = 49. Let z = v + -22. Calculate the remainder when 50 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiiiey. Give prob of picking 1 e, 1 y, and 2 i.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 9 = -506*a + 495*a, -a + 9 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, 50, 0, -1\/3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 285*u**2 - 75*u - 21434. What is q(-285)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1101211?\nAnswer: 1101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffnyfnfffffffyyf. What is prob of sequence yyn?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -802 - -810. Suppose u = -o + 2*o + 13, b = -4*o. Solve -11 = -5*y - 2*t, -u = 4*y - 5*t - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*g = -16, g = 2*u + 2*g + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 244446104 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(351\/((-156)\/12))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.94 + -0.06. Let j = -26 + 25.54. Let u = -0.06 - j. What is the second smallest value in -4, 7, f, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/19 - 108*l**4\/19 - 1752*l**3\/19 - 8080*l**2\/19 - 768*l - 9216\/19.\nAnswer: -2*(l + 2)**3*(l + 24)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/2 or -3?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1110 + -2182. Let k = r + 1078. Let i(z) = -33*z - 3. Let p be i(-3). What is the greatest common factor of k and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 26*h**2 + 265*h - 59. What is r(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40820 = 10*w + 3*w. Suppose w = 12*g - 8*g. Suppose g = 6*n - 253. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4686917 and 6095.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*p - 0*p + 124, -4*n - 5*p - 129 = 0. Let u = n - -24. Let f be -2 + (u - -6) + 1*5. Solve 2*b = f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.26 - -42.16. What is the second smallest value in 1\/4, 11.4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538014 divided by 3.\nAnswer: 179338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2101676*p**3 - 2700947*p**2 wrt p?\nAnswer: -12610056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1258 + 1259. Let m be f\/((-30)\/(-237)) + 8\/(-20). Factor -15\/2*j**2 + 5*j**3 + 5 - m*j.\nAnswer: 5*(j - 2)*(j + 1)*(2*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1*-3)\/(-1*sqrt(588)))**2.\nAnswer: 99\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -28. Let h be ((-6)\/(-4))\/(2\/4). Let o(f) = -1 + 3*f - 3*f - 2*f**h + 2*f. Determine o(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9481173491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2413981, 2413998, 2414015, 2414032, 2414049, 2414066?\n\"Answer: 17*u + 2413964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150977, 301893, 452641, 603137, 753297, 903037, 1052273?\nAnswer: 1200921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 = 8*y + 14*y. Suppose 30*l - y = 105. Let p be (1\/(-1 + 2))\/1. Solve -p = -4*o - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 62*j - 477. Let y be h(13). Solve 26*o = y + 48 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 - 95*m - 63. Let k be p(-13). What is the third biggest value in 35, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.0616 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 964?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931) + -1 - sqrt(931))*6 + sqrt(931) + 0 + -2)**2 + -5 + (1*sqrt(931))**2 + -2.\nAnswer: -224*sqrt(19) + 4712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1806 less than -207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (91\/(-14) - -7)*34. What is the fourth smallest value in k, -1, 3, 14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -5*n**9\/504 - n**8\/42 + 8*n**5\/5 + 86*n**2 + 2*n. Find the third derivative of z(m) wrt m.\nAnswer: -600*m**3 - 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.46907 and -5.\nAnswer: -2.34535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15665)\/(-37596)*(-186)\/10.\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:37 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 307132 + 7?\nAnswer: 307140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5374049 take away 17413?\nAnswer: -5391462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*s + 10770, -2*p + s = -p + 3590. Let u = -2178 - p. Let a = -711 + u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from ndkkddutotkk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18054.649 + 18042. What is m rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w + 3. Let z be u(3). Suppose z = x - 7. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 + 8*k. Let x(b) = 6*b**2 + 7*b - 1. Let n(t) = -5*j(t) + 6*x(t). Let o(h) = -9*h + 215. Let y be o(23). List the prime factors of n(y).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 963906.7 nanometers?\nAnswer: 0.0009639067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -267780 divided by -53556\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 2:21 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2, 0 = -r + 2*r - 5*j - 25. Let f(m) = -m**3 + 6*m**2 - 3*m + 4. Let n be (2 - 0)\/1 - -1. Calculate the lowest common multiple of f(n) and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*a = -22, 48*z = 46*z - 2*a + 10. Solve 2*m = 7*m + 3*o - z, m = -o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183550.\nAnswer: 2, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -275*f + 137*f + 552 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -60823.\nAnswer: -5\/60823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 371*z + 10750. Calculate f(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by 2179\nAnswer: 201\/2179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/11, -2\/13, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4233, 8471, 12709?\n\"Answer: 4238*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/22 and -15\/1193386.\nAnswer: 13127246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 4. Let g(c) = 4*c + 5. Let h(j) = 7*g(j) - 6*o(j). Let b be h(6). Is (7\/14)\/(b\/(-110)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 t when four letters picked without replacement from tcttvjtycyyycth?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -24ba?\nAnswer: 24ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + 0*s)*(-s**2 - 4*s + 4*s) - 2*s**3 + 3 - 5 + 0*s**3.\nAnswer: -3*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + d**4 + 5*d**2 + 5*d**3 + 10*d**2 - 1 + 3*d**2 - 26*d**2 - 5*d to j*d**4 + t*d + g*d**3 + o*d**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65540?\nAnswer: 2, 5, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s + 2*s**2 + 3*s)*(-6 + 4 + 1) + 108*s**2 + 43*s**2 - 102*s**2 + (2 + 2*s - 2)*(4*s - 5*s - s))*(-104 - 21*s**2 + 104).\nAnswer: -903*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4212 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 + 287153786\nAnswer: 287153786.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(1053))**2 + 3 + -5.\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-20)*-10)\/(12\/(-54)*-9). Let q(w) be the third derivative of 0 + 0*w + 0*w**3 + 0*w**4 + 1\/20*w**5 + w**z. Let l(u) = 6*u. What is l(q(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9754347 to the nearest integer?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668 - 1327 = -19*c. What is the greatest common factor of c and 1680?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -1\/120*b**6 + 0*b**4 + 1\/60*b**5 - 3*b**2 + 0*b + 3\/2*b**3 + 0. Suppose 0 = -2*r + 7*r. Determine v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 7*t**5\/10 - 13*t**2\/2 + 10*t. Differentiate a(n) wrt n.\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 9. Let b(t) = -t - 2. Let h(s) = 9*b(s) - 2*u(s). Suppose o - 2*n - 11 = 4*o, -o - n = 5. Determine h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/2 + 21. Let t(p) = -p**2 + 6*p - 7. Let d be t(5). Which is greater: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c**2 + 9*c**2 + 5*c**3)*(-2*c + 2*c - 5*c) - 3*c**4 - 5*c**4 - 3*c**4.\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.706 times -3?\nAnswer: 236.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 6*h + 2. Let j be o(-4). Let z be 12\/((j\/4)\/(-1)). Let g(x) = x. Let m be g(-1). Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -3) + -7 - (-3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(880)*-1)\/(-2*(-2*sqrt(20)\/sqrt(4) + ((1*sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(80) - sqrt(80)))).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2139, 8530, 19181, 34092, 53263, 76694?\nAnswer: 104385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*o + 13 = 213, -4*m - 5*o = -160. Calculate the greatest common divisor of m and 4840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:49 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 30. Let c = 9 + -3. What is the second biggest value in c, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = -5*k - l, 4*k = 3*l - l - 356. Let j = -48 - k. Suppose 7*i = 8*i - j. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18658458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 + 3*x + 4. Let f be o(-3). Let g(k) = k**2 + 1. Let z be g(f). Suppose 0*p - p = -h - z, -3*h = p - 22. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1936*z**3 - 25*z**2 - 440 wrt z?\nAnswer: -11616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 3. Let w(b) = -1. Let c(l) = s(l) - 3*w(l). Let t(o) = -o**2 + 6. Determine c(t(m)).\nAnswer: m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -23983*u**2 + 12*u + 6. Let m be d(9). Let w = m - -912509. Round w to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-6)*(8\/(-4) - -82) is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5.7. Let x = -6.3 - f. Which is the third smallest value? (a) -2\/9 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 60?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*a*p**2 - 162654173*a*p - a + 2859510*p**3 wrt p.\nAnswer: 52*a + 17157060*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 349 = 37. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13 = 12. Let a(b) = -7*b + p + 3*b - b**3 + b**2 + 4*b. Determine a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a + 13. Suppose -1 = -z + 2*z. Sort a, z, 2.\nAnswer: z, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {z: 1, x: 2, c: 4, n: 2, r: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 - 17*d**4 - 21*d**3 + 9*d**2 = 0. What is d?\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and (-1)\/(5\/32*22\/(-110)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -207?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*o = 644, -5*y + 3242 = -5*o + 4*o. Let s = -423 + y. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -47. Let l be (s\/12)\/((-4)\/(-6)). Suppose -5*t = 2*b - 160, 0*t = t + l*b - 40. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-686160 - 910*g + 686160 + (-4 + 4 + 2)*(0 - g + 0)).\nAnswer: -912*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 14, 2, -3 in ascending order.\nAnswer: -4, -3, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 11 = -4*s - 4*l + 5, 0 = 4*s + 2*l - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -38668.133 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 4:26 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 572680541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.02 + -0.02. Let s = 0.69 - 0.19. Let v = -2.5 - s. What is the biggest value in v, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2310 (base 7) to base 2\nAnswer: -1101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.47 - 0.53. Let u = 253 + -254. What is the nearest to 1\/4 in 1, a, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 at least -84966.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 5, -2, 1664 in descending order.\nAnswer: 1664, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1368)\/(-190))\/(6\/100) is divided by (2 - 84)\/(-1 - 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**6 + 17216*r**4 - 17542*r**2 wrt r.\nAnswer: -120*r**3 + 413184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 6*k**2 - 5*k - 1. Let b(w) = w**2 - w. Give 5*b(n) - m(n).\nAnswer: n**3 + 11*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o*z**3 + 27*o*z**2 - 1511*o - 4*z**2 wrt z?\nAnswer: 9*o*z**2 + 54*o*z - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + 28\/(-3). Let z = -36.2 + 34.71. Let k = 1.89 + z. What is the third smallest value in -0.5, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 + 89*d**2 - 10*d - 4. Let u be z(-9). Let f be (-2)\/(-6) + 86\/3. Suppose 2*m + 4*q = 8*q + 8, -2*m - 3*q = -f. Solve -u*h + 5 - m = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + (-16)\/(-12). Let z = k + 4. Suppose 0 = -4*h - 4*x - 20, -4*h + 2*x - 3*x - z = 0. Solve -9 = 4*w - 5*d, 5*w + 7*d - 3*d + 1 = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -9 + 9 + -36 + 5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-21) + (234\/208 - (-507)\/(-24))?\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 less than -2982\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/40*-10*(10 + -30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1 - -14) + 32499\/(-1863) + 10\/6?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3156 - 1980. Suppose -6*y = y - i. What is the highest common divisor of 294 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1999928 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-44)\/(-165))\/((-12)\/63)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/(-165) - 1346\/(-22) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -81*s**5 - 32769*s**4 - 2751736*s**3 - 1505736*s**2 + 1078320*s - 134992 = 0?\nAnswer: -286, -118, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)*c**12*c*c*c**(-1\/3)*c**(4\/5) assuming c is positive.\nAnswer: c**(202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -102, -59.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 - 11)*116\/7. Let y = 156 - q. Solve -r = 35 - y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + q + 3 + (0*q - 2*q + q)*(2 + 2 - 5) - 2*q + 3*q + q - q - 2*q + 6*q + 24*q - 42*q + 24*q in the form a*q + i and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52643427\/425 + 123867. Let v = k - 55963\/2550. Calculate the common denominator of 465\/6*((-22)\/10 - -2) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -0.4. Let j be (-8)\/2 + 8 + 9\/3. Let z be (-1)\/((-12)\/36) + (0 - j). Which is the closest to 1? (a) r (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 49, 71, -915 in ascending order.\nAnswer: -915, -1, 0, 49, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*w + 22. Suppose 0 = 3*q - 2*q. Sort q, w, 4 in increasing order.\nAnswer: w, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/3 (b) -5 (c) -1049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 52 = 5*x. Let i = -8 + x. What is the smallest value in i, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 34*c = 160. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*r - n, 6*r = r - 2*n + 48. Let y = 5 - 0. Suppose y = o - 10. Calculate the highest common factor of o and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 39 = 214. Let n(b) = 4*b - 77. Let s be n(a). Suppose -2*t + 915 = -s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 m, and 1 s when four letters picked without replacement from emssremmeessq?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -0.502082368?\nAnswer: -0.002082368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66616 rounded to three decimal places?\nAnswer: -0.666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*m + 5800, 6*z - 10*z = 5*m - 4649. Suppose -4*h + 3*v + z = -532, -4*v = 2*h - 830. What are the prime factors of h?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**4 + 2*v**2 + 48*v**3 + 1979 - 3581 + 1364 + 1284 + 704 wrt v.\nAnswer: 12*v**3 + 144*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(1 - -3) - -4. Suppose -w*k + 17 = -3. Suppose 0 = k*l + 40 - 120. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308913808?\nAnswer: 2, 23, 43, 181, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 119827\nAnswer: -11982.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-3\/11)*i)**32*i*i\/(i**(-23)\/i)*i**(-3)\/i)**4 assuming i is positive.\nAnswer: i**(4808\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/4 - 117*v**2\/4 + 887*v\/4 + 169725\/4 = 0 for v.\nAnswer: -31, 73, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-9 + 79\/8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -15 - 15 + 11 - 5*l + 7*l. Let z be n(10). Let a be z + ((-20)\/(-5))\/1. What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -28.047675 and -0.06.\nAnswer: -28.107675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14499.0600055 + -14499. Let w = j - 0.06. Round w to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409606186.\nAnswer: 2, 11, 18618463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 16*l**2 - 29*l - 7. Determine p(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 214802, 1718832, 5801328, 13751522, 26858646, 46411932?\n\"Answer: 214872*u**3 + u**2 - 77*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1352, -1452, -1542, -1616, -1668?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:32 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-1 + 0 + 0)*(-5*w + w - 4*w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 3116.7, 2, 5, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1, 2, 26, 18257, 1 in increasing order.\nAnswer: -5, -1, 1, 2, 4, 26, 18257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8239866 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(25)\/sqrt(5) + (sqrt(320))**2 + -1.\nAnswer: 6*sqrt(5) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from nbnbbnnbbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) -1\/19 (c) -1\/4 (d) -0.3 (e) 1\/8 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 13*k**2 + k + 10. Let g be q(-13). Put g, 2, 1 in decreasing order.\nAnswer: 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3450 - 2?\nAnswer: 3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 22*c + 14*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k - 7. Let h(v) = 9*v + 13. Let x(g) = 6*h(g) + 11*m(g). Let p(l) = 5*l - 6. Let j(z) = z + 1. Let r be j(5). Calculate r*x(a) + p(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - -10) + -28 + 1. Let o = y + 23. Which is smaller: o or -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 5*g**2 - 5*g + 1. Let k be s(-4). Let i be k\/15 + 16\/6. Let q(l) = 1 - l**3 - 6*l**i - 1. Let r(h) = 3*h**3. What is -4*q(m) - 9*r(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/3 - 2648242*b**2\/3 + 7944733*b\/3 - 5296490\/3 = 0. What is b?\nAnswer: -2648245, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2 - i. Suppose -5*h + 4*u + 116 = 0, 0*h + 3*u = h - 32. Suppose 5*s + h = -8*l + 3*l, 4*l = -5*s - 17. Is j(s) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6423 = -394*m + 513 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.795 - 0.205. Which is the nearest to -1? (a) -5\/4 (b) m (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 7) to base 8.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062378712 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence illl when four letters picked without replacement from {l: 4, b: 1, i: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37950 in -3, 0.3, -2, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8436 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (sqrt(272)*3 - sqrt(272)))**2.\nAnswer: 48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 176? (a) 2 (b) -858 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 69 = -3*j, -11 = 4*j + 9. Let g be (-98184)\/k*(-1)\/(-4). Let f = g - -455. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 474 + 130. Let g = l - 603.8561. Round g to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3))*3 - (sqrt(9)\/(sqrt(9)\/sqrt(3)) + sqrt(3)).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-4 - -8) + 2. Let q(z) = z**3 - 2*z**2 + z + 17. What is the remainder when 50 is divided by q(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12856 + -12848. Let c = -0.2 + 0. Let b = c + 0.2. Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/55 and 109\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:05 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 8 + 23*y**3 + 4*y**4 + 2 - 20*y**3 - 5*y**4 as a*y**2 + f*y**4 + v*y**3 + t*y + u and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 456\/1447?\nAnswer: 456\/1447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*i + 77322, -17374 - 79286 = 5*i + m. Let q = -9800 - i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from vvxvvvvvn.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 1 + (0 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*x - 6 = -5*k, -5*x + 15 = 4*k. Suppose 2*w + w + 12 = k. What is the nearest to -0.1 in -2\/9, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176293959.5 rounded to the nearest 1000000?\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -0.4 (c) 223.46 (d) 2\/47 (e) 4 (f) 0 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Suppose 2*x + 20 = 5*k, 3*x = 5*k - 25 - 0. Let p(y) be the first derivative of 4\/3*y**3 + 0*y - 1 + 0*y**k. Give p(w(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99751 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92b (base 12) in base 5?\nAnswer: 20311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(4*z**2 + 20*z**2 - 13*z**2) + 3*z + 3*z**2 - 3*z.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 157, 883, 2747, 6319, 12169, 20867?\n\"Answer: 95*f**3 - f**2 + 64*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308829793 to the nearest integer?\nAnswer: 17574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 - 0.13. Which is the nearest to -1? (a) -2\/13 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -991, -4, -10, -2\/7, -58?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 greater than 677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**41*x)\/x)\/x**(-2\/83))\/(x*x**33)**(-36) assuming x is positive.\nAnswer: x**(105080\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3047 - 3047.1. Let n = -0.1 - 0. Which is the nearest to x? (a) 3 (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430497 is divided by 442?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 242*a**3 + a - 6. Let p(s) = 246*s**3 + s - 7. Give 5*p(o) - 6*q(o).\nAnswer: -222*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6930000 and 92400.\nAnswer: 6930000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y**3 + 7*y**2 - 3*y - 22. Let g(p) = 8*p**3 - 7*p**2 + 4*p + 24. Calculate -4*b(k) - 3*g(k).\nAnswer: 12*k**3 - 7*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 3 = 3*n, -2*n + 9 = -5*x. Which is the second smallest value? (a) -4\/5 (b) 0.5 (c) -1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 - g**3\/3 - 3*g**2\/2 - 4. Let o(j) = j**3. Calculate -b(x) + 3*o(x).\nAnswer: 2*x**3 + x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-182)*35\/(-30)*3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 4*n + 25 = 9*l, 0 = 5*l + 4*n + 31. What is the nearest to 0.1 in l, 8, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (5 + -17 + 3 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 123, 345, 721, 1257, 1959, 2833, 3885?\n\"Answer: o**3 + 71*o**2 + 2*o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 15 + (1 - (-1 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15663804\/5 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -226, -784, -1866, -3646, -6298, -9996?\n\"Answer: -29*n**3 - n**2 - 2*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 32 + 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -120.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7736, -15454, -23140, -30794, -38416, -46006?\n\"Answer: 16*m**2 - 7766*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m - 2*m**2 + 1\/24*m**4 + 7\/6*m**3 + 0. Differentiate d(r) with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 12*h**4 + 2*h**3 - 1 + 11*h**4 + h**2 in the form a*h + q + u*h**4 + v*h**2 + i*h**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 13*j**2 + 4*j + 50. Let i be d(-13). Let t(m) = -2*m**2 - 3*m - 2. Give t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 5*f. Let z be b(5). Suppose -5*q - r + 79 = 0, 0 = -2*q + 5*r - z*r + 37. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) - 30\/(-7) - 9. Let n(i) = 3*i - 6. What is n(o)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38105 (base 11) to base 8\nAnswer: 152651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 - 6*k - 2. Let q be v(-2). Let o = q + 58. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = 29*u - 65*u - 1554 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2684. Let j(u) = 8*u**2. Determine j(p(a)).\nAnswer: 8*a**2 - 42944*a + 57630848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:05 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -4*l - 6*n, -2*l + 15 = -1063*n + 1064*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 19 + g**2 + 0*g**2 - 12 to the form j*g + h*g**2 + v and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1151415 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1402, 3479, 5556, 7633, 9710, 11787?\n\"Answer: 2077*s - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Let h = 26.2964 + -30.2964. Let t = -53\/10 - -11\/2. Which is the third biggest value? (a) 0.5 (b) h (c) r (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -24*w + 39*w + 134*w. Let x be (-4 - (1 - 3))\/(-15). What is the third biggest value in x, 5, w, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1088.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*i = -1, -3*i + 10 = 2*i. What is the units digit of (64\/6 + 2)*p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z - 5*z)*(-18*z**3 + 0*z**3 + 9*z**3) - 3*z + 3*z - 8*z**4 + 3*z**4 - 4*z**4 + 0*z**4.\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -48*r - 537. Give z(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let w(l) = -l**3 + 8*l**2 - 5*l + 2. Let n be w(7). Suppose 6*x - 2*x = -n. Which is the closest to 1? (a) k (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 0, -2 = -z + v + 5. What is the second derivative of -z + 12 + k**2 - 2*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034786496 rounded to 5 decimal places?\nAnswer: 0.03479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*q - 3, -u + 18 = 5*q. Let b be u\/(1*1\/(-3)). Let j = b - -20. What is the lowest common multiple of 3 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*1*6 - sqrt(30))\/(sqrt(120)\/sqrt(108)).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250)*1 + sqrt(1250) + sqrt(50) - sqrt(50))*6*1)\/((5*sqrt(360))\/(sqrt(704)\/sqrt(11))) + 5.\nAnswer: 5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -12291?\nAnswer: -12296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*r + 2*u + 8, -3*u + 12 = 4*r. Suppose r = f + 9. Calculate the remainder when -7 - f - (-23 - 5) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/144*140\/(-42)*18?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.22? (a) 5 (b) -4\/15 (c) 2\/61 (d) 0.3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**7\/1260 + l**5\/120 + l**4\/8 + 2*l**2. Let x(s) be the second derivative of t(s). Is x(3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*z + 12 - 70, -4181 = -4*q - 3*z - 4191 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*f**3 - 14*f**2*v**2 + 1101*v**2 wrt f.\nAnswer: -33*f**2 - 28*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-32)*-2*24\/6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbjz when four letters picked without replacement from zgbjzb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*l = 2128, -41*n - 4280 = -43*n + 2*l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {z: 1, o: 7, m: 1, r: 6}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*t - 23815 + 23779 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**9\/72 - 11*s**5\/60 - 5*s**2. What is the third derivative of r(w) wrt w?\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from {n: 3, z: 2, p: 2, e: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:19 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 31472\/(-49) - 10\/35. Calculate the highest common factor of 48 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -94, 2558, 6974, 13154, 21098, 30806, 42278?\n\"Answer: 882*o**2 + 6*o - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/140 + s**4\/28 + 6*s**2. Find h such that a(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, q: 6}. Give prob of picking 2 q.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*y**2 - 26*y**2 - 39*y**3)*(-1 + y**2 + 1).\nAnswer: -39*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/84)\/((-5)\/(-10))*(-12 + 19). Solve -7 = -5*l - 2*o + 3, -2*o + u = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(-12) + (-1)\/3. Suppose m - 3 = -1. Suppose 0*v - m*v + 10 = 0. Solve 0 = -v*r + x - 7, -n*x - x + 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 146*p - 202. Let y be g(35). Let f(q) be the first derivative of 2*q**3\/3 - 17*q**2\/2 + 9*q - 1. Let l be f(y). Solve a = -l + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 189*v**3 + 2*v**2 - 6*v + 18. Let h(f) = -f**2 - 8. Give -2*h(j) - t(j).\nAnswer: -189*j**3 + 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**4\/j)*j**(1\/4))**(14\/5))**(-1))**(-5) assuming j is positive.\nAnswer: j**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 215 times -88240\nAnswer: -18971600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 3*x - 16. Let n(b) = 2*b**3 + 7*b**2 + 4*b + 3. Let p be n(-3). Suppose 4*a = -p*a + 32. List the prime factors of t(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1113779 and 1467?\nAnswer: 10024011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - 63 - (-16 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 749 = -18*z + 3003. Solve -49*i + z = -111 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 150 - t - 88 - 214 - t**3 - 2*t**2 in the form o + z*t**2 + l*t**3 + h*t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*h + 3*h = 366, -5*h + 732 = 4*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 5*z + 16. Suppose -l = 1 - 8. Let n be k(l). Suppose n*d + 2*f + 4 = -6, 3*d - 5*f + 7 = 0. Let u(t) = t**3 + 5*t**2 + 2*t - 5. What is u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687521.\nAnswer: 687521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 37 = 7. Let s be 4\/12 + u\/63. Which is the closest to 1? (a) s (b) -3\/4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 0.014773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9091 = z - 2*w - 0*w, -2*z - 3*w = -18210. Round z to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - c**2 - c**2 + 6*c**2 - 9*c**2 + 4*c**2 + (-c - 2*c + c)*(-6*c + 0*c + 4*c) to the form t*c + m*c**2 + a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13008, 14329, 17908, 24873, 36352, 53473, 77364?\n\"Answer: 188*i**3 + i**2 + 2*i + 12817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -5 (c) -1 (d) 235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139958 at least as big as 139963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -25*y. Let d be k(1). Let x = 3 - d. Let s = -17 + x. Calculate the remainder when 20 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4502, 4487, 4448, 4373, 4250, 4067, 3812?\nAnswer: 3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10972.\nAnswer: 2, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*d**4 - 3663 + 3663)*(-23*d + 17*d + 42*d).\nAnswer: 3312*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -133.4 * 2142.2\nAnswer: -285769.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -492 + 70. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2905\/6, -9, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-8))\/((-6)\/(-8)))\/((-64)\/193536*-21)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-108)\/45)\/((-4)\/30). Suppose i - 6*i = s + 23, -s - u = 4*i. Factor 0*z + 0 - 5*z**3 + 5\/2*z**s - 15\/2*z**4.\nAnswer: -5*z**2*(z + 1)*(3*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/4 + f**2\/2 + f. Let g be i(3). Let z = -12 - g. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 10*x - 93 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Let j(h) = 5 + 13 - 19 + h**2 - h. Let b(o) = -7*o**3 - o**2 + 4*o + 4. Let l(k) = a*j(k) + b(k). Find the third derivative of l(g) wrt g.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37204, 148991, 335304, 596143, 931508, 1341399?\n\"Answer: 37263*k**2 - 2*k - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -201385, 68, -21 in decreasing order.\nAnswer: 68, -21, -201385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1947696, -1947691, -1947684, -1947675, -1947664, -1947651, -1947636?\n\"Answer: k**2 + 2*k - 1947699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 17. Let b(g) be the first derivative of g**2 - 29*g - 148. Let y(t) = 3*b(t) - 5*z(t). Give y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmjmmbxxxbkjxmf. What is prob of sequence fm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*d - 1080 = -403*d - 246*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x**(-5)\/x)\/x))\/((x*x**4)\/x))\/(x\/(x**(-2)\/x)*x*x**1*x)*x**(1\/13)*(x*x**(-1\/3)*x)\/(x*x*x\/x**1) assuming x is positive.\nAnswer: x**(-88\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*c - 4*i, 194*i = 3*c + 189*i + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z - 53*z - 49*z + 5*h - 4 - 21 = 0, 32 = 4*z - 2*h for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppwz when four letters picked without replacement from {z: 3, a: 4, w: 1, p: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0 (base 15) to base 14.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:23 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4953075 + -153.\nAnswer: -155.4953075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24690888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/10 - 3) + (-69)\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*m - 1070, 2*k = k - 3*m + 264. List the prime factors of k.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 12:58 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 236839*a + 5. Let i(p) = 4*p. Give z(i(m)).\nAnswer: 947356*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 8*s - 636. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*f + 3*f + 6245 - 6380, -4*p + 156 = 6*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*r**2 - 116*r**2 + 168*r**2)*(r - r + r**2).\nAnswer: 102*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -146*g**2 + 2483*g - 43. Give h(17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 1 - 1)*(0*g + 0*g - g + (1 - 5 + 2)*(-2 - 2*g + 2))*(-6 + 0 + 4)*(17*g**2 - 14*g + 14*g).\nAnswer: 408*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130101830*g**3 - 205240657*g**2 wrt g.\nAnswer: -780610980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41482 = 1074*p - 1710 + 1040 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4135253*n**3 - n**2 + 89897191 wrt n.\nAnswer: 12405759*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*l + 5 + 11, -2 = -2*r. What are the prime factors of -8*(-4 + l + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 + 0.23. Let c = j + 0.99. Let i = c + 2.2. What is the smallest value in i, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 3746.\nAnswer: 217268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 12692 to the nearest one hundred.\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 1\/5, 161, 26, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u + 3 - 3.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7063 to 2 decimal places.\nAnswer: 2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r. Let c(s) = 32 - 18*s**2 - 32 + 14*s**2 - 11*s**2. Calculate c(d(i)).\nAnswer: -960*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 1. Let u = -9 + 7. Let i be ((-3)\/u)\/((-2)\/(-8)). Let c(t) = 4*t + 6. Let v(b) = i*f(b) - c(b). Let x(q) = 4*q. Give x(v(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k - 9. Suppose 0 = 5*h + 20, g - 3*h + 6 = -k*h. Find the common denominator of 24 - (-3)\/1*1\/g and -79\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-15)\/q)\/q**(4\/19))\/(((((((q*q*q\/(q*q\/(q\/q**(4\/5))))\/q)\/q)\/q)\/q)\/q)\/q)**(-15\/4))**(-29) assuming q is positive.\nAnswer: q**(18850\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 188524535 and 14121.7.\nAnswer: 188538656.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*j - 5, j = 3*o - o. Suppose -4*x + 78 - 10 = j*k, -k + 34 = -x. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*h - 30 = -30. Factor 4\/3*z**2 - 4\/3*z + h.\nAnswer: 4*z*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) - (0 + sqrt(2448))).\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567360990.\nAnswer: 2, 5, 13, 23, 524201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quf when three letters picked without replacement from {x: 1, e: 3, u: 4, q: 5, f: 1, b: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-7) - (-44)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170026710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**3*o**2 - 358680*d**3*o + 6*o**2 + 473038 with respect to d.\nAnswer: -24*d**2*o**2 - 1076040*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -2986, 63, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382632 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -26568\/10679?\nAnswer: -26568\/10679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1230 + 11120420?\nAnswer: 11114140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -3, -34848, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/3))**(1\/5)*f**(-1\/7)\/f**0 assuming f is positive.\nAnswer: f**(-1\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t - 113. What is v(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6824 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 2*u + 252. Let j(s) = 3*s**2 - s - 168. Suppose 3 + 17 = 4*v. Let z(b) = v*p(b) + 7*j(b). Is z(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4010\/17 + -236. Let m = -779034\/77 + 72591\/7. Let n = m - 253. What is the third biggest value in 0.3, n, k, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2661)\/66 + (785 - 741) and (-937)\/906 + (-1)\/(-1).\nAnswer: 9966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 16 + 0 = 0. Which is bigger: b or -2\/413?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172941*v**3 + 3993*v**2 - 7*v + 2 wrt v?\nAnswer: 1037646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and 1 + -5 - (8\/(-364))\/((-312)\/(-59969)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 182, 174, 154, 116, 54?\n\"Answer: -j**3 - j + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y - 8*z + 13*z = -270, z = -1739*y + 1743*y - 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6918 + 0.1238. What is p rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**(-3\/32)*(i*i**1)**(-29))**2 assuming i is positive.\nAnswer: i**(-931\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-21)\/((-273)\/34814) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c + -63216?\nAnswer: -63244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g**2 - 1186755 + 1186755.\nAnswer: -43*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145097\/30 + -4836. Calculate the common denominator of 133\/110 and u.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -5*t + 3*v, -7*t - 3*v + 30 = -4*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 2 - 42*u**4 - 2590*u - 3 + 2591*u to n*u**3 + z*u**4 + a*u**2 + o + f*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3712\/580)\/(0 + 1). Factor -4\/5*h**3 - i - 24\/5*h**2 + 12*h.\nAnswer: -4*(h - 1)**2*(h + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/726 and 151\/13810698.\nAnswer: 13810698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126977\/130 - -25645\/26. Factor s + 0*p**3 - 24\/5*p**2 + 0*p + 3\/5*p**4.\nAnswer: 3*(p - 2)**2*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 22*r + 96 = 0. Suppose -3*h = -5*i - 20, 0*i + i - r = -3*h. Find the second derivative of -251*z**2 + 239*z**2 - h*z + 0*z wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -349466521*f**2*o + 2*f**2 + f + 35972355 wrt o.\nAnswer: -349466521*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 5*k - 3 + 2 - 3. Let m be x(-2). Solve m = -3*l - 5 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 145 = 3*g - 133, 2*w + 2*g - 12 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.09999948 - -1.1. Round y to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 89 (c) 1\/11 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-11) + 370\/(-22). Let t = -9 - v. Suppose 152 = z - 5*u - 24, 0 = -4*u - t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -0.2\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 948, 69, -2334, -7023, -14760, -26307, -42426?\nAnswer: -63879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1271680 and 880640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.113 and 4?\nAnswer: -0.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -577 - -579. Find the third derivative of q - 364*x - 70*x**3 + 367*x - 2 - 2*x**2 wrt x.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*c + 49. Suppose -c*n + 277 + 1095 = 0. Let t = n - 97. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/30)\/((-6)\/9). Let j = 4.937 + 0.063. Which is the third biggest value? (a) j (b) 1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*i**3 - 31*i**3 + 14*i**3 + i + 2*i**2 + 2 to the form y*i**2 + z*i + d*i**3 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzffzfvjjf. What is prob of sequence fjz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 1593.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:24 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2939 - 2937. Let l(t) be the first derivative of 1\/2*t**4 + 2*t**s - 2*t**3 + 0*t - 3. Factor l(d).\nAnswer: 2*d*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185\/252 + 41\/252. What is the smallest value in q, 1, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 9, c: 1, p: 2, f: 1, j: 6}. Give prob of sequence jj.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2. Let f(j) = j**2 - 5*j + 2. Suppose 3*a + 1 = 16. Let x be f(a). Let n(l) = -4*l**x + 5*l**2 - 1 + 1. Determine n(b(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1739735 to the nearest ten thousand.\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 2, x: 5, e: 2}. What is prob of sequence ptx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:39 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + ((sqrt(425) + 5 + 2 + sqrt(425))*-5 - 3*1*sqrt(425)*-6)))**2.\nAnswer: -25920*sqrt(17) + 256464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 5) to base 4\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 100?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 7 - 2)*(58*c - 58*c - 29*c**2 + (2 - 2 - 2*c**2)*(-5 + 4 + 7)) as z*c**2 + u*c + s and give z.\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006709327 rounded to 7 dps?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*h = 58, -210 = -4*v - v + h. Let d = -29 + v. What is the highest common factor of 35 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d + 2. Let n(f) = -2*f**2 - 90*f - 6. What is -3*a(s) - n(s)?\nAnswer: -s**2 + 93*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/11 - -23\/22. What is the third biggest value in t, -16, -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2723052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 16, 5*y = -3*b - 11 - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -159\/47, -1.3, -16?\nAnswer: -159\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -36.5. What is the nearest to -0.09 in 2\/11, 0.2, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(80) + -5 + sqrt(80) - (sqrt(80) + 1 + -4)) + -2 + 2.\nAnswer: -7 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -448141*u. Let m(z) = -33*z**2. What is m(i(w))?\nAnswer: -6627401744073*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1217626 (base 8) to base 4.\nAnswer: -1101332112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*r**3 + 284*r**3 + 285*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 840 - 849. Do k and -65\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19688, -39106, -58524, -77942, -97360, -116778?\n\"Answer: -19418*s - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjqr when four letters picked without replacement from jrvrqhjq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/4*(-7)\/(42\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29643, -32553, -35463, -38373, -41283, -44193?\n\"Answer: -2910*h - 26733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5442 divided by 2721.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -35 + 28. Is 2 a factor of ((-74)\/d)\/((-2 + -2)\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3 - 0. Let h = -18 - -27. What is the least common multiple of l and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14*(2 - -1)\/(-6). Suppose -d - 13 = -4*j. Let r(o) be the first derivative of -o**2 + 4*o + 4. Calculate r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1613\/3 - 543. Suppose 5432*a - 5416*a + 51 = -13. Is a greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 + -192. Let h be ((-21)\/v)\/(3\/(-2)). Which is the nearest to h? (a) 0.4 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/(-216))\/(-5))\/(87\/(-18)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2*z + 2*s**2 - 33*s*z**2 - 2*s*z + 47*s - 18*z**2 - 63 wrt z.\nAnswer: -2*s**2 - 66*s*z - 2*s - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, 0.06, 0.1, 191, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**4 - k**3 + 13*k + 1. Let s(g) = -3*g**5 + g**4 + g**3 + 29*g**2 - 265*g - 3. Let y(b) = d(b) + s(b). Find the second derivative of y(p) wrt p.\nAnswer: -60*p**3 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4859*n - 62955. Determine o(-13).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -11 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + sqrt(2448) + ((4 + sqrt(2448) + sqrt(2448))*5)**2 + sqrt(2448).\nAnswer: 4836*sqrt(17) + 245200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 b when four letters picked without replacement from bgbgg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1797 + -1799. Let r(f) = -2*f. Let s be r(4). Let j be (-1)\/28 - (-2)\/s. What is the closest to j in -1, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10052 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*p - 12 = 0, -42*p + 71*p - 24 = -6*z + 24*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:36 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 4 + 0*j - 2*j**3 + 2*j + 0 + 2*j**2 as h*j + x*j**3 + q + r*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30426 + -17178. Does 72 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 16*z + 5 - 25*z - 9.\nAnswer: -41*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 65 = 19. Let c(s) = -21 + s + k. Let y(n) = -3*n + 3. Let g(q) = -7*q + 5. Let a(x) = 3*g(x) - 5*y(x). What is c(a(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16847 is divided by 337.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43982?\nAnswer: 2, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opsfmff. Give prob of sequence opm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18\/(-20))\/((-16)\/200) and 2*1 - 50\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -23, -68, -151, -284?\n\"Answer: -2*a**3 - a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18034, 18035, 18036, 18037, 18038?\nAnswer: 18039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1631)\/21*-51 - -6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*m - 0*m - 256070 + 8692774. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*c + 1858*c + 1051*c.\nAnswer: 4183*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2 + 20. What is the highest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1090, -4352, -9786, -17392?\nAnswer: -27170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**2\/2 + 10*i - 2. Let o be l(-6). Suppose -5*g = -0*a - 2*a + 10, -g = -5*a + 2. Sort -1, o, g in ascending order.\nAnswer: g, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24411908219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**2*s**2*x - 35*q**2*s**2 - 4*q**2*s*x + 14*q**2*s - s**2 + s*x + 2*x wrt s.\nAnswer: -18*q**2*x - 70*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17316 divided by -2886.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 12. Let o = 4 - -10. Suppose -w + o - 2 = -4*c, 3*c + 2*w + 9 = q. Put c, 1, 4 in descending order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002392483 rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q - 15*q**2 + q**3 + 10*q + 9*q**2 + 19*q**2.\nAnswer: q*(q + 1)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -301*t + 2398. What is the ten thousands digit of z(-53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32703?\nAnswer: 3, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 14*c**2 + 16*c - 8. Let z be y(15). Suppose -118 = -z*w + 6*w. Let k = w + -103. What is the greatest common factor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195446 and 107124.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.1 (c) 0.4 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 537 + -128. Let r = l - 408. Let n(v) = 4. Let p(u) = -u**3 - 3*u + 1. Let y(o) = -o**3 - o + 1. Let k(j) = p(j) - 2*y(j). What is r*n(w) + 2*k(w)?\nAnswer: 2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 38*i**3 - 311*i**2 + 607*i - 298. Let c(b) = 9*b**3 - 78*b**2 + 151*b - 74. Let r(a) = -9*c(a) + 2*p(a). Factor r(v).\nAnswer: -5*(v - 14)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 35.3. Let o = 0.1 + m. Let n = o - 1.8. What is the second smallest value in -0.1, -0.7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-12)*(-8 + 11). Solve -7*f + 10 = -t*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222969281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10974, 10966, 10958, 10950?\n\"Answer: -8*u + 10982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*b**5 - 36*b**2 - 18525*b wrt b.\nAnswer: 900*b**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1780.68 - 0.\nAnswer: 1780.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -806904280*h**6 - 3*h**2 + 244023*h + 60 wrt h.\nAnswer: -96828513600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4 - g**3*k**3 - 8*g**2*k**3 - 9*g*k**3 - 23*g*k**2 wrt g.\nAnswer: -12*g**2 - 6*g*k**3 - 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27837 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(10\/6 + -1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 991120*a - 988575*a - 2545 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/50 and -2\/9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 17, p: 3}. What is prob of sequence jppp?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/(h*(h**4*h)\/h*h))**(-2\/135) assuming h is positive.\nAnswer: h**(22\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120835 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 24. Let h = -2\/5 - -69\/10. Let n = 147\/22 - h. What is the second biggest value in -4, w, n, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 + 7142*o**3 - 208352*o**2 + 1612408*o - 1411200 = 0.\nAnswer: -3600, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 - 5*h - 3. Suppose 5*s - 50 = 5*r, -3*r = 4*s - 0*s + 9. Let f be m(r). Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/180, -1\/15, 3\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.16931 to one dp.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 23 = -8. Solve 4*m - 10 = -2*o, 3*m + m - 25 = l*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52766478*y + 26383254*y + y**3 + 26383224*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*u + 4*u**3 - 175*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -153.499*-1.28\nAnswer: 196.47872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*q - 0*q + 508, -2*p = 3*q - 504. Suppose 50 = -10*z + 12*z. Calculate the remainder when p is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**3 - 350*t**2 + t - 53. Let j be i(50). Which is the fourth biggest value? (a) j (b) -0.4 (c) 3\/17 (d) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 + 4 = 0. Suppose 3*h - 501 = -2*l + 303, 3*h = m*l - 816. Suppose 2*a + 3*f = -2*a + l, -15 = 3*f. List the prime factors of a.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4\/3 (b) 66 (c) -14 (d) 0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(160\/(-32))\/(-2*4\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -7*d**4\/12 - 7*d**3\/6 - 7*d + 2. Let o(q) be the first derivative of k(q). Let j(b) = 13*b**2 + 13*b. Give 6*j(w) + 11*o(w).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171857437.\nAnswer: 17, 10109261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-125))\/((-14)\/35)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*w**3 + 4*w**4 - 109*w**3 - 8*w**4 + 14*w wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.4 + -52.4. Which is the biggest value? (a) r (b) -6\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7953*x**2 - 144*x + 143. What is the tens digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 267*m**3 + m**2 + m. List the prime factors of t(2).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 89*r - 386. What is p(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 12*p - 5 = 0. Let y(d) = -4*d + 1 - p*d**2 - d + 8. Let f(q) = q**2 + q - 2. Determine -9*f(i) - 2*y(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 10*q**2 - 3*q - 23. Let x be y(-10). Let o(a) = 57*a - 19. Let n be o(x). Calculate the highest common divisor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9438*d - 4719*d - 4717*d = 0. Determine s, given that -2\/5*s**3 + d*s**4 + 0 + 0*s**2 + 2\/5*s**5 + 0*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 2, b: 2, f: 1, i: 10, m: 1}. Give prob of sequence vi.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2508 = -5*u. Let p be -3*1*(-4 - (-9 + 6)). What is the tens digit of (u\/33)\/((-2)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 33, 59, 89, 123, 161?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28856 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2069348232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19\/9, -0.1, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 17 - 7)*(2*o**5 + 0*o**5 + 0*o**5).\nAnswer: -38*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 187653629.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34379363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 - -0.7. Are 5 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*d, -3*d - 174 = 3*r - 0*r + 6*r - 0*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815) + sqrt(1815)*4)\/(5*sqrt(5)*-4 + sqrt(5)).\nAnswer: -55*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -33, -2, -3172 in increasing order.\nAnswer: -3172, -33, -2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 10*t**2 - 5*t + 14. Let b be (0 - -1)\/((-2)\/(-22)). Let y be m(b). Let f = y - 40. Round f to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) 1.56 (c) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -1. Let j = 13.3 + -6.3. Let i = 9 - j. Which is the closest to i? (a) -3\/7 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73268.\nAnswer: 2, 13, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*n**3 + 333*i**2*n**3 - i**2*n - 7*i*n**2 - 168*i - 3*n**3 wrt i.\nAnswer: -12*i*n**3 + 666*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*h = -2, 7*b = 4*b + 2*h - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-15 + 53 + -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3377 and 213.\nAnswer: 719301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4876622.35 take away 6?\nAnswer: 4876616.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -365 (base 7) to base 16.\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -49*2*(14640\/12)\/(-10) a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 7}. What is prob of picking 4 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*f - 68. Suppose 0 = -v + 1 + 31. What is the remainder when v is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/1264980 and 23\/2436.\nAnswer: 8854860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (-135)\/50*2 + -3. Let j(f) = -5*f + 90. Let m be j(19). Let q = 2.3 - 2. Sort q, m, t in descending order.\nAnswer: q, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 476 - 283. Let a = 203 - u. Solve 0 = 13*z - 8*z + a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9993305 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*i + 3*m, 6*i - 3*m + 45 = i. Let y(f) = -f**2 - 6*f. Let l be y(i). Suppose 0 = -4*t + 8 - l. Calculate the least common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*j + 5 = -10, 3*v + 3*j = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 9*d - 4. Let s be m(4). Suppose 2 = -3*g + s. Let t be 4\/6 - 1\/(-3). Sort 5, g, t in ascending order.\nAnswer: t, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 34 = -3*l. Find the third derivative of -94*t**2 + 50*t**l + 54*t**4 - 117*t**4 wrt t.\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -12*m - 60, 3*m + 7 - 1 = 0. Solve -p + 2 = -3*y, p = 5*y + i - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6074 is divided by 141.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 3. Let t(x) be the first derivative of x**2 + 9*x + 1921. What is -8*p(v) + 3*t(v)?\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -197 + 337*z**2 + 59 - 58 - 103*z**2 wrt z?\nAnswer: 468*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 355e?\nAnswer: 355d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 48*d**2 - 3*d + 3. Calculate the remainder when 190 is divided by i(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - -2*sqrt(11))*-2)**2 + sqrt(891) + 2 + ((-1*sqrt(1584) + -2)*4)**2.\nAnswer: 777*sqrt(11) + 25685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 81 = 4*h, -4*h + 31 = -q - 60. Solve -t + 13*t = -h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 26. Let m be f(-18). Let k(l) = -l**2 + 12*l - 31. Let u be k(m). Solve -i + u = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1978 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14478*a + 4969. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*d - 85 = 0, 5*c + d = -10 + 121. What is the remainder when c is divided by 232\/145 - 160\/(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-1680)*(-84)\/(-32))\/(3\/(-972))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/42 - 74\/14. What is the closest to -2 in 0.3, d, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 89702?\nAnswer: -89709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 486.3905 decades?\nAnswer: 4863.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*n**4\/11 - 80*n**3\/11 + 104*n**2\/11 - 32*n\/11.\nAnswer: 2*n*(n - 2)**2*(9*n - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 178*p - 235. What is the tens digit of v(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3 = 9. Let g be (14 + -2)*4\/8. Suppose 0 = f*b - g, -570 = -3*t - 0*b - b. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 3*q)*(-2*q + q + 0*q)*(-32 - 18 + 12)*(-2*q - q + q) to u*q**2 + i + m*q**3 + t*q and give m.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209483 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*l + 22 = 0, -100*l + 103*l = -4*k - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390720 + 195369 + 53*d**3 + 195356.\nAnswer: 53*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11024 + 11058. Suppose k = 5*f - 12, -k - f = -5*f + 8. What is the remainder when n is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.05151 - 8.06. Round d to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 7. Let x be r(4). Is -1\/115 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 1 + 2*w - 2*w + 7*w)*(-6*w - w - 19*w) to s*w + v*w**3 + g*w**2 + u and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 33 - 1949*a.\nAnswer: -1949*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 873 divided by 804\nAnswer: 291\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/6 - 7*u\/3 - 5\/2 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65796*u + 65792*u - 5*n + 6, -2*n = 4*u + 12 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/63 - (9 + 25\/21)\/(-2). Let f = -9.2 + 9.091. What is the second biggest value in -4, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16796161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 5*v - 9*v, -2*a = -6*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -684.2+-274.034206\nAnswer: -958.234206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -135, -271, -407, -543, -679, -815?\n\"Answer: -136*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtcattta. What is prob of sequence cqtt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*(-69 - -10))\/(3\/195).\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y + 1. Is i(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1450 = 3*b - 1040. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2\/4 + 8. List the prime factors of 4\/(-14) - (-72)\/l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -0*s + 49 - 39, -p - s = 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8. Let i(a) = 23. Let n(f) = 17*c(f) - 6*i(f). Let t(k) be the second derivative of 2*k**3\/3 - 36*k**2 + 20194*k. What is -72*n(v) + 2*t(v)?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3363 + 6138. List the prime factors of d.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -9.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 308283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -15 - (-66 + (2 - (2 + 3) - -6)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.27 + -0.27. Let b = -14 + o. What is the nearest to 0.2 in b, -4\/3, -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 29*m + 38. What is n(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14 = -1. Suppose 33*t - 11*t - 452*t + 1960 = 60*t. Solve -a*k = t*k - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112622.\nAnswer: 2, 56311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z + 2. Let s be t(2). Let x(j) = -3*j + 8. Let h(l) = -2*l + 7. Let m(i) = s*x(i) - 5*h(i). What is the derivative of m(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - (sqrt(468) + sqrt(468)*-2 - sqrt(468))) + sqrt(468))\/(6*(sqrt(4) + sqrt(196) - sqrt(4))))**2.\nAnswer: 52\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4499 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 676 + -2008\/3. Suppose 5*a - 14 = 11. Suppose -3*r - 3 = -i + 4, -a*r - 13 = -2*i. What is the second smallest value in q, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 53 = -5*i, 4*a - 5*i + 91 = 6*a. Suppose 0*c + c - 1 = p, 2*c - 5 = 5*p. Let r = p + a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 3. Suppose -q + 45 = -g*q + 4*x, q + 5*x = 20. Let y be ((-2)\/(-6))\/(4 - (-14)\/(-4)). Which is the closest to 0? (a) y (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - 5*z + 5*z + (-14 + 14 + 17 + (4 - 1 - 5)*(-1 + 3 - 1) - 1 + 4 - 5)*(-z**4 - 2*z**4 + 4*z**4).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b + 11 + 8 - 19.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8612 divided by 113520?\nAnswer: 2153\/28380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3139276 by -28.\nAnswer: 112117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*f - 15*f + 3*k - 222, 4*f - 6*k = -3*k - 47 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -4907516?\nAnswer: 4907514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(13\/5)\/(p**(-1\/2)\/p)**(21\/5))**3 assuming p is positive.\nAnswer: p**(189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/38 + 696\/(-114).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let s be m(4). Let u(w) = 81*w**2 - 5*w - 2 - 3 + 6*w**2 - 3. Let k be u(s). What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(304) + sqrt(304) + 2)**2*-2 + -1*sqrt(304) + -5).\nAnswer: -14670 - 408*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 87*k - 34. Give r(16).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 10*a**5 - 206*a**4 - 94*a**3 + 206*a**2 + 84*a = 0.\nAnswer: -1, -2\/5, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1060 (base 9) to base 11\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -9 (b) -4\/3 (c) -2 (d) 0 (e) 0.72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 10 (b) -189 (c) -2675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -1, 1566?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 8790 (c) -0.82 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:35 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12344668 to four dps.\nAnswer: 0.1234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 7\/4 (c) -27 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*j - 349 + 10, -2*j + 432 = 5*i. Let o = i + -80. Solve -2*d + 2 + 4 = 2*m, o = -3*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*u = -31, w + 4*u = 4*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -3*k, 3 = -k + 5*x - 9. Suppose -l + 49 + k = 0. Let a(p) = 2*p**2 - 7*p. Calculate the remainder when l is divided by a(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/368 and -43\/1041616.\nAnswer: 23957168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-44) + -1 + 615\/55. Solve -3*i + 4*b = j, 2*i - b + 6*b = 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, p: 3, g: 1, w: 1}. What is prob of sequence mh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/4 (b) -10\/221 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23c86 (base 16) in base 8?\nAnswer: -436206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x*z**2 - 26842*x*z + 82*x - 5*z - 724131 wrt z?\nAnswer: -2*x*z - 26842*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 468*c - 298 + 149.\nAnswer: -468*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2695 = 21*j + 7399. Calculate the common denominator of (-2)\/7 - (-1742)\/168 and (80\/j)\/((-3)\/12 + 0).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 + 30 = 0. Suppose 0 = -3*l - l - v. Sort -4, l, 1.\nAnswer: -4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o + 17. Let x(b) = 12*b + 18. Let j(y) = -2*x(y) + 3*z(y). Does 20 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 + 0*w + 1\/280*w**6 - 6\/7*w**3 - 1\/7*w**4 + 1\/140*w**5 - 8*w**2. Suppose q(b) = 0. What is b?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 15 = y. Let k be y - -4 - (-42 - -1). Let c be (-3)\/(-2)*k\/9. Calculate the greatest common divisor of c and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 2*p**2 + 25*p + 51. Calculate h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77163 and 10413.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g + 16*g**2 - 15*g)*(9*g**2 + 10*g**2 - 7*g**2 + 2*g**2 - g**2 - 2*g**2 + (4*g - 5*g + 3*g)*(-5 + 5 - g) - 3*g**2 + 3*g**2 - 2*g**2).\nAnswer: 112*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -17 (c) 376487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6, 3, -301, 3\/5.\nAnswer: -301, -6, 0.5, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 + 14*q**2 + 9*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18026 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 22*o**2 + 76*o - 19. Is d(-52) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19003 - -19005. Solve -5*n + o*s - 4 = 0, 0*s = 2*n - 4*s - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**2 - 4*i**2 + 3*i**2)*(-61*i + 61*i - i**2).\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26752 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/392 and -75\/448?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -160 times -0.12\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854408 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 86 + 2*w + 0*w)*(24*w**2 - 5*w**2 - 3*w**2).\nAnswer: -16*w**3 + 1376*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1887, 32, -10 in ascending order.\nAnswer: -1887, -10, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - -1 - (-2)\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) + 3\/((-18)\/(-177)). Calculate the remainder when ((-22)\/(-5))\/(4\/j) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0591 - -454.8409. Let a = -241 + w. Round a to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3482, -3486, -3500, -3530, -3582, -3662, -3776?\n\"Answer: -y**3 + y**2 - 3482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q**2 - 5. Let f(r) = -38*r**2 + r**2 + 24 - 27*r**2. Let d(i) = 5*f(i) + 24*s(i). Let b(c) = 2*c. Give d(b(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172463\/36690 - 2\/3669. What is the common denominator of ((-2)\/(-4) + -1)*(-1206)\/108 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -19. Let b be 36*((-11)\/(-3) + k). What is the units digit of (b\/(-15))\/((-1)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, 2\/13, 0.57 in decreasing order.\nAnswer: 140, 0.57, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 4)*(14*w**4 + 6*w**3 - 14*w**4 + w**4).\nAnswer: 3*w**4 + 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.3. Suppose 16 = 5*l + 4*z, -7*l + 4*l = -2*z + 8. Let q be 14\/(-63) + 16\/(-90). What is the closest to q in v, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:52 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 12 - (-4 + 0 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2131593?\nAnswer: 3, 710531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 3:48 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 10*h + 10. Let m be k(-8). Let y be 8\/m - (-3)\/9. What is the units digit of 4\/6*(y - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52673908 by 1.\nAnswer: -52673908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 150.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 minus 1583325?\nAnswer: -1583325.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 5, -5, 2653, -207?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 - -411. What is the second derivative of 78*w - m*w**2 + 75*w - 5*w**3 - 59*w - 9*w**3 wrt w?\nAnswer: -84*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -35\/24*h**4 - 1\/3*h**3 - 3 + 0*h + 0*h**6 - 149\/210*h**7 + 0*h**5 + 5*h**2. Find the second derivative of i(l) wrt l.\nAnswer: -1788*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 6*q - 32. Suppose n = -n - 6, 4*d + 5*n = -3. Calculate the remainder when y(-6) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 12*u - 13. Is s(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -10.51 (c) 458\/85 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -646\/5 or -481?\nAnswer: -481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**3 - 5*c**2 + 4*c + 7. Let b(s) = 8*s**3 - 3*s**2 + 2*s + 4. What is 5*b(z) - 3*n(z)?\nAnswer: -8*z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r**2 + 5*r - 15. What is the units digit of z(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -11. Let d = -8.6 - b. Let u be 28\/35 - (-44)\/(-40)*-2. What is the fourth biggest value in d, 2\/7, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 55954665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(39)\/sqrt(3) - sqrt(13)))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 9 - 21. Suppose c + 155 = 3*r, -t*c - 41 = -r - c. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/27)\/14*6\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-10)\/(0 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 305, -635, -1543, -2413, -3239?\n\"Answer: w**3 + 10*w**2 - 977*w + 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244431232010 + -1?\nAnswer: 244431232004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1830 - 447 = -82*a + 2561 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63370.\nAnswer: 2, 5, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52983, 52976, 52969, 52962, 52955?\n\"Answer: -7*v + 52990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -23*f**2 + 3433*f + 20482. Calculate w(155).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4 + 3 - z + 2*z - 1. Let c be m(3). Let q = 7 - c. What is the smallest common multiple of 4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/315)\/((-2)\/54))\/(6\/(-14)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h - 25. Calculate the remainder when 59 is divided by a(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/11 - 24*p**2\/11 + 2*p = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*r = -9, -r = 3*p - 7*p - 3. Solve 6*g - 3*g + 3 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1558744.\nAnswer: 4676232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/684 and 43\/45393.\nAnswer: 10349604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4275533, -4275539, -4275549, -4275563?\n\"Answer: -2*t**2 - 4275531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1504 - 601. Let z = n + -614. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73137702 divided by 12189617?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196 - -312. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 7 + 32. Let n be -5 - (2 - (f + -3)). What is n rounded to the nearest integer?\nAnswer: -5","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 wbw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355 less than 3353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 140*j**3 + 222*j - 723. What is the first derivative of p(a) wrt a?\nAnswer: 840*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose 2139*n - 2219*n + 2720 = 0. What is the highest common factor of l and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 2*m + 1. Let r = -135 - -131. Let n(d) = -6*d**2 + 5*d - 2. Let x(c) = r*n(c) - 9*q(c). Does 9 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -844406, -844408, -844410, -844412, -844414?\n\"Answer: -2*t - 844404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.61307296 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/18*(-72)\/66?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 25*c + 95. What is f(-7)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(4 - 1 - 9)*(-3*g + 7*g - g) + 2*g + 2*g - 3*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2 + 0) - -3. Let s be (-2)\/4 + (-799998)\/w. What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19714 + -453420\/23. Let i be 2\/11*370\/4. Let q = -17 + i. Which is the fourth biggest value? (a) 2\/3 (b) q (c) p (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.2 - 12. Let g = t + -1.2. Which is the second smallest value? (a) -5 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102111 + -112021?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13173 or 39517\/3?\nAnswer: 39517\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -902, -2032, -3614, -5648?\nAnswer: -8134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -5f64?\nAnswer: 5f5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29048 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -23 - 16) + 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -255 + 2?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010101010010010 (base 2) to base 3.\nAnswer: 10212211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - g + 263. Let l be n(-16). Let x = -270 - -268. Sort x, l, 0.1 in ascending order.\nAnswer: x, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, c: 5}. Give prob of picking 1 d and 1 c.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 0.2 (c) -609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 4*s - 5*a, 6*a - a = 5*s - 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*v**2 + 224*v - 83*v**2 - 169*v in the form k + d*v**2 + m*v and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5286 and 1182.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a5 (base 12) to base 5.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384 != 2383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 372*i*x**4 - 2*i*x + x**3 - 15*x**2 - 4 wrt x?\nAnswer: 8928*i*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 24 + 439 = -5*t, 158 = -2*t - 2*b. Let a be (-9)\/(-4) - t\/108. Suppose 13\/2*h**a - h**2 + 0 + 0*h - 10*h**4 = 0. Calculate h.\nAnswer: 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(425)*2)**2*5 + -3 + 5 + (6*(-2 + sqrt(425)))**2.\nAnswer: -720*sqrt(17) + 23946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3371995, -3372007, -3372021, -3372037?\n\"Answer: -h**2 - 9*h - 3371985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 1053 = -24*k. Calculate the remainder when 60 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1812\/69309*(-34)\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 2*i + 4 + 4 + 4*i**3 - 5*i**3. Let u be j(4). Suppose -8*q + 3*q = u. Solve q = -2*o - 6 + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59013*c**2*q**2 - c*q**2 + c - 20271*q**2 + 2 wrt c.\nAnswer: -118026*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 26*l**3 - 6*l**3)*(16 + 23 - 5).\nAnswer: -986*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4414, -9004, -13594, -18184, -22774, -27364?\nAnswer: -31954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/6 - 3\/(-9). Suppose -x*j + 24 = -12*j. Let u(r) = -3 + j*r + 3. Let n(i) = -i**2. Calculate u(n(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = -3*v. What are the prime factors of (-2 - v - -2) + 285\/3?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87\/643 - 469\/1286. Let j = 3 + 0. What is the nearest to 1 in j, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.589059 to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28973121169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9920?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 + 0*j**3 + 2*j - 2*j**3 - 3*j**4 - j**2 - 4*j to m*j + o*j**3 + g + k*j**4 + s*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgjggjgjjjjggjjgjj. What is prob of sequence ggj?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvnbctnbbgvgbbcn. Give prob of picking 1 t and 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.049219?\nAnswer: -1.950781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 11*q + 9. Let b(t) = -11*t - 6. Let h be b(-1). Let c(n) = -2*n**2 - 23*n - 19. Let d(u) = h*o(u) + 3*c(u). Determine d(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 652 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {c: 3, k: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12023 (base 5) in base 2?\nAnswer: -1101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/(-1)*4\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 9 = 5*b. Let h be (-6)\/b - -2 - 0. Which is smaller: -1\/6 or h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 9*q + 4*q - 27, 2*q + 21 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 - 4 = 0. What is the remainder when 11 is divided by ((-42)\/18)\/(a\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5926 = -5*y + 2*g, -31*y + 2353 = -29*y + 5*g. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/8 + 826863*p\/8 - 2480697\/2.\nAnswer: 3*(p - 12)*(p + 275633)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*y - 144, 4 = -5*y - 16. Calculate the remainder when u is divided by -26*(-3)\/6 - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47165714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**5 + 30123*u**4\/4 + 56541*u**3\/2 + 120663*u**2\/4 + 5658*u - 3771 = 0.\nAnswer: -2, -1, 1\/4, 2514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2. Let v(h) = -236726*h. Calculate j(v(d)).\nAnswer: -224156796304*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-12 - (14 + -19)) - (2 - -32)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13415, -13426, -13433, -13436?\nAnswer: -13435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 25067*n + 50048*n - 25066*n - 3 - 3.\nAnswer: -85*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5242444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/149, 1, -4 in decreasing order.\nAnswer: 1, -15\/149, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2908574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:42 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 3*q - 32. Let w be p(-8). Calculate the highest common factor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:10 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s - 1. Let p(i) = 9*i - 2. Let x(w) = 5*k(w) - 3*p(w). Let j be x(-2). Solve 4*d = 3*d + j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -445*w - 21804. Give m(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 38*f**2 + 36*f.\nAnswer: 2*f*(f + 1)*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104759 (base 12) in base 13?\nAnswer: 8cb86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -11\/6, 4\/5, -2.8 in increasing order.\nAnswer: -2.8, -2, -11\/6, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**7\/42 - c**6\/4 - 167*c**5\/12 + 110*c**4 + 19360*c**3\/3 - 167*c**2. Determine j, given that n(j) = 0.\nAnswer: -8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 2*v**4 + 3*v**2 - 26*v - 28*v + 56*v to g*v**4 + p*v**2 + d*v + j*v**3 + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/6 + 80*h. Let d(b) = -54*b. What is a(d(c))?\nAnswer: 5832*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 3, -4*v + 30 = -j. Let b(s) = s**3 - 4*s**2 - 7*s - 10. List the prime factors of b(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 7*y - 12. Let f be b(9). What are the prime factors of 5\/(15\/f) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 8*z = -4*g - 15, -2*z - 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 12, e: 1, x: 6}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 38 + 164 = 0. Suppose a*d - 15*d = 6456. List the prime factors of d.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8784 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2731, 2, 1, 0, -9, 6, 7 in descending order.\nAnswer: 7, 6, 2, 1, 0, -9, -2731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1789\/42 - -2\/21. Let i = 43 + o. Factor -5\/4*j + 3\/4*j**2 + i.\nAnswer: (j - 1)*(3*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 3. Let z be (-696)\/3045 - 1\/5. Which is the closest to 0.1? (a) z (b) v (c) -6\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71, 73, 77, 83, 91?\n\"Answer: v**2 - v + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14*w + 33 = 0. Is w smaller than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 13*c + 44483. Is p(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27779 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u + 12 + 695*u**2 + 18 + 5 + 0*u**2 + 5. Let w be h(-12). Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.94 - 14. Let n = r + 0.1. Sort n, -1, 2\/15 in descending order.\nAnswer: 2\/15, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a - 14. Suppose 4*q - 5*q = -9. Let t be o(q). Solve -5 = l + t*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/(s*s*s*s**(2\/11)))**27\/(((s\/(s\/s**1))\/(s\/((((s\/s**(1\/6))\/s)\/s)\/s*s)))\/(s**(-1\/3))**(-39)) assuming s is positive.\nAnswer: s**(-4735\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4116058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60060*h**2 + 73*h - 308 wrt h?\nAnswer: 120120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 34, 101, 188, 301, 446, 629?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 56. Do 7 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -27*n**2. Let f(a) = -53*a**2. Let c(d) = 4*f(d) - 7*y(d). Let p(w) be the second derivative of w**4\/3 + 21203*w. Determine c(p(o)).\nAnswer: -368*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -5, 13.6, -1\/2, 0.04?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15b - 58?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 3. Let d be g(0). Suppose -3 = -d*r, o + r - 21 - 4 = 0. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 3*q - 2. Let j be y(4). Let v be ((2 - j)\/3)\/(-2). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**2\/7 - 648*g\/7 + 4914.\nAnswer: -6*(g - 39)*(g + 147)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6575.18026712 - -7367.1802603. Let x = 792 - p. Round x to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 7d314?\nAnswer: 7d314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u = -34*u + 280. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 762290.6ml?\nAnswer: 762.2906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 132 = -q. Let t be 2 - 1*q\/(-3). Let f be (t\/(-10))\/(-2) + -1. What is the closest to f in 2\/9, 0.1, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5745 + -135603?\nAnswer: -143550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4744 - 4629. Solve 0 = -124*i + x*i + 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(5) + (sqrt(125)\/sqrt(5))\/sqrt(5)).\nAnswer: -8*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 5*s + 3. Let n be o(6). Let y = -4 + 7. Let j = n + y. Solve -4*i - 4 - 4 = j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110222100 - -10?\nAnswer: 110222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 17*v + 20. Let q be g(-13). Let i be (-48)\/q*4\/3. Suppose 0 = -i*b + 3*l + 14, 4*b - 8 = -l - 3*l. Solve 0 = b*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -18, 0, -1\/4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*h + 22 + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27387, 54769, 82149, 109527, 136903, 164277?\n\"Answer: -j**2 + 27385*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*c**4 + (3*c - 1300*c**2 - 33*c**2 + 246*c**2)*(0*c**2 + 5*c**2 - 4*c**2).\nAnswer: -1089*c**4 + 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + (((1*sqrt(175))\/sqrt(5) + sqrt(35) + sqrt(35))\/(sqrt(5) + (sqrt(320) + sqrt(320)*2 - sqrt(320) - sqrt(320))))**2)*4.\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2366 = 2039. What is the remainder when p is divided by 62?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z - 1. Let b(f) = -f. What is 5*b(k) - c(k)?\nAnswer: 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:21 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2386, -8419, -18468, -32533, -50614?\n\"Answer: -2008*a**2 - 9*a - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 624 = -4*i. What is the remainder when 151 is divided by i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112990206*f**2*h - 12445*f**2 - 717*f wrt h.\nAnswer: 112990206*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 55. Suppose 6 = -4*g - 3*r, -g - 8 = -r + 5*r. Let i be a(g). Suppose 5*m - 40 = i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 732 and 14884?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-6)\/(-54)*-3). Solve -23 - z = -3*f + 4*h, 0 = -4*f + 5*h + 33 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 5*z**2 - 3*z**2 + 5*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 5*k**4\/24 - 11*k**2. Let z(y) be the third derivative of -y**4\/12 + 6*y**2. Give x(z(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -122952.\nAnswer: -1\/30738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 13. Let j = a - 4. Solve 0 = -2*u - 5*v - 30, -12 + 3 = j*u - 4*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -2 - 32\/12)\/((-13)\/(-67626)). Calculate the greatest common factor of y and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -184, -234, -336, -508, -768, -1134?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*y**3 - 182*y**3 + 93*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4 - 0. What is the lowest common multiple of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3*o**2\/2 - 9*o - 3. Suppose 4*k + 32 = 2*a, -50 = 5*k + a - 6*a. Is 9 a factor of u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 34716188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1038*b**2 - 27*b. Let m(d) = 346*d**2 - 10*d. Give 4*k(g) - 11*m(g).\nAnswer: 346*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 4. Let r be s(5). Suppose 0 = -3*w - 79 + 22. Let d = w + r. Calculate the highest common factor of d and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 23 + 0*d + 5*d - 20.\nAnswer: 5*d - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 8*b + 48. Let n be i(-4). Solve n*g + y = -2*g - 4, 3*y = -3*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -5*(-40)\/(-50). Calculate the greatest common divisor of z and 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 10 = 0, 13*p - v - 10 = 15*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1530 and 1\/27*(-16065)\/1260.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 260*c**2 + 239*c + 128959. Give i(-259).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*r - 2 = 155*r + 151*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 10*m - 3. Let y be l(-10). Let f(p) = -p**2 - p - 1. Let r(x) = 3*x**2 + 2*x + 2. Let b(t) = y*r(t) - 7*f(t). Determine b(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341310 or -10?\nAnswer: -341310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(2 + 4 - 5)*(129*z + 91*z + 18*z).\nAnswer: -476*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10151, 40081, 89961, 159797, 249595, 359361?\nAnswer: 489101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 571, 567, 561, 553?\n\"Answer: -b**2 - b + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(1539) + sqrt(1539)*1 + sqrt(1539) + 0)**2.\nAnswer: -486*sqrt(19) + 13932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66947.\nAnswer: 66947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*613 - -1 - (58 + -57). Suppose 2*n - r = 1293. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105282*r**3 - 43123*r - 2 wrt r?\nAnswer: 631692*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**5 - 164*h**4 + 2092*h**3 - 9436*h**2 + 1568*h + 60368 = 0.\nAnswer: -2, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z. Let k be p(1). Let y be ((-30)\/4)\/5*k. Let v(h) = 2*h - 16. Let d be v(y). Solve -10 = 5*c + 10, -d*l + 2*c = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnsv when four letters picked without replacement from {v: 2, i: 1, s: 2, y: 2, n: 1, m: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*y + 3*h, -3*y - 3*h + 1 + 5 = 0. Let z be y\/6*-6 + 12. Solve z = 3*c - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - (3*(sqrt(88)*-1 - sqrt(88)) - sqrt(88) - sqrt(88) - sqrt(88))))\/(-3*sqrt(72)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 13355950 in decreasing order.\nAnswer: 13355950, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 0*g**2 - 212 + 204 - 332*g.\nAnswer: -4*g**2 - 332*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -124305 (base 6) to base 13\nAnswer: -5219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1068?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9068 - 9071. What is the fourth biggest value in 1\/7, -5, g, 2\/13, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101743668 divided by 33914556\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3\/2 - 834355*y**2 + 33370710*y - 170188020 = 0. What is y?\nAnswer: 6, 34, 333702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796100.\nAnswer: 2, 5, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22998.\nAnswer: 2, 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -590 + 647. Solve 61*t = p*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 3*y + 10 = 0, 2*x = 4*y - 14. Let n be 308\/300 + -2 + x. Let o = -9\/25 + n. Which is the closest to -1? (a) -2\/3 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5809 is divided by 1449.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590617.\nAnswer: 541, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:34 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100.9 + 100.4. Is a smaller than -3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5219*u**2 - 9*u - 7. Let w(r) = -15657*r**2 - 30*r - 19. Let m(j) = 5*w(j) - 14*y(j). Find the second derivative of m(n) wrt n.\nAnswer: -10438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 40*x**4 + 3*x**2\/2 + 283*x + 194. Find the second derivative of a(r) wrt r.\nAnswer: 960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -84, -83, -82, -81?\n\"Answer: l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*j**3 + 261*j**3 + 262*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.51? (a) 1 (b) 0.2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -637, -2542, -5717, -10162, -15877, -22862?\n\"Answer: -635*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulluu. Give prob of picking 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -696*f - 127. Suppose -7*h - 9 - 5 = 0. What are the prime factors of u(h)?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 4*l**3 + 70 - 9*l**3 + 20 - l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/14)\/(4\/(8\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38*184\/2185*-10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 110 = -190. What is the highest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 24*d = 7776. Suppose -315*i + 319*i - d = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90856110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104760, -104758, -104756, -104754, -104752?\nAnswer: -104750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 32 = 8. Let u be 18 + -2 - (c + -3). Let b be -1 + 13 + (-3)\/3. Solve -2*x + b = 2*g + 1, 3*g = -2*x + u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**2 + 0*l**2 + 23*l**2 + (0*l**2 + 0*l**2 + 3*l**2)*(-3 + 5 - 4).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288230328 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 4*v + 3. Let b be i(-5). Let a(z) = z**2 + z + 4. Let u be a(0). Sort b, u, 2 in decreasing order.\nAnswer: u, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:01 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8342 + -8226.82. What is v rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*n + 53, -12 = 5*n + w - 110. Calculate the greatest common factor of n and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) -98 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-3))\/((-16)\/(-6936)). Let a = -567 - w. What is the lowest common multiple of a and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2202 + -6607\/3. Which is the biggest value? (a) -104 (b) 0.3 (c) n (d) -2\/3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(36)\/sqrt(4) + sqrt(9)))\/(sqrt(108)*-1) + 3.\nAnswer: -sqrt(5)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 822960 divided by -432?\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 282?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000312053 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 32*u**3 - 58*u**2 + 28*u.\nAnswer: -2*u*(u - 14)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*i - 105 = 0, -201 = 932*j - 934*j + 3*i. Let u(a) = -7*a. What is the remainder when j is divided by u(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4 - -7)*(-49738)\/11478?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(13\/2))**(-3)*y\/(y*y**22\/y*y)*y**(-2\/11) assuming y is positive.\nAnswer: y**(-917\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3443*u - 3366. What is q(-1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(78)*-1 + -3*-1*sqrt(78))\/((sqrt(6) - 4*(sqrt(96) + sqrt(6))) + sqrt(600)*1) + 1)**2.\nAnswer: -8*sqrt(13)\/9 - 35\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 6 = 0. Suppose 5*x = f - 29, -2*f + 4*x = k*f - 208. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -386\/13 at most -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19398.6 + -120.\nAnswer: -19518.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(34)\/(sqrt(4)\/sqrt(2)))**2) + -3.\nAnswer: -20 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6614103 + -2?\nAnswer: 6614101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 14 + 21. Let f = -957 - -973. Suppose 5 = c*k - f. Solve 4*u = u + k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 + 101. Let q = d - -25. Solve q*l = 9, -2*i = -0*l + 5*l - 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 6*l**2 - 6*l - 2. Let f be n(-5). Let c be 6\/4*40\/(-6). Let r = c - -17. Solve -f*g - r = 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475352 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose 4*p = -5*m + 42, 2*m - r*p + 0*p = 6. Suppose 4*v + 2*j = 38, -m = v + 4*j + 2. Calculate the greatest common divisor of 108 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4428*z - z**2 - 1 + 4359*z + 2*z**2 as v*z**2 + y + l*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 564*v - 207*v - 11.\nAnswer: 357*v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/5 + 738396*y**4\/5 + 2953614*y**3\/5 + 4430436*y**2\/5 + 2953629*y\/5 + 738408\/5 = 0. Calculate y.\nAnswer: -1, 246136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**3\/l*l*l)\/l)*l**(-2\/5))\/((l\/((l*l\/(l\/(l\/(l**(-1)*l))))\/l))\/((l*l*l**(-1))\/l))*(l\/l**7)\/l*l*l**(-3)*((l**0\/l*l)\/l)**(-36) assuming l is positive.\nAnswer: l**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -53*c - 15. Let r be v(-2). Let d = r - 90. Let q = 39 + d. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.024 and 7362.\nAnswer: 7362.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 80*q**2. Let l(d) = 2*d - 616. Calculate n(l(u)).\nAnswer: 320*u**2 - 197120*u + 30356480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 253*y + 12746. Let g be u(-48). Solve 14*f + g = 546 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.128 + -94.872. Let g = 97.82 + -3.22. Let l = c + g. What is the second smallest value in l, -1, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - 1. What is the common denominator of 282\/45 - (-3)\/y and -1\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(6\/(-1580))*3. Find the common denominator of (-1)\/2*12\/((-168)\/455) and (2\/5)\/((-88)\/r).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 106 - 45)*(0 + 0 - 2*l).\nAnswer: -186*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 + 17*u + 46. Suppose 0 = 5*p - a - 255, 0*a = -a + 5. Let j = -77 + p. Is b(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -97*b**2 + 46226*b - 25689. Calculate k(476).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 + 232. What is the remainder when s is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1188.117 weeks?\nAnswer: 718573161.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-116))\/((-4)\/24)*31\/(-3).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from {f: 18, t: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113832 by -28458.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g - 35. Let b be x(6). Calculate the remainder when 19 is divided by (b - 8)*(-1 - 0)*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1091, -2175, -3257, -4337, -5415, -6491, -7565?\n\"Answer: o**2 - 1087*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 27*g + 513 = 0. What is the greatest common divisor of g and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acs when three letters picked without replacement from {s: 2, r: 4, c: 4, a: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**3 - 86 + r**2 + 86 + r to the form b*r + v*r**3 + q + z*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357 by 51.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 11*j**2 - 10*j - 3. Is u(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*s - 6060 - 6804 - 3573 = 6734 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93 + -11b084?\nAnswer: -11aee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x + 1. Let n(d) = 20*d**2 - 10*d + 10. Let s(b) = 15*l(b) + n(b). Let j(g) = -g + 1. Let t(p) = 5*j(p) - s(p). Find v, given that t(v) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310716 and 3712149.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**5 + 3*m**4 + 3*m**3 - 5*m**2. Let j(q) = q**5 + q**2. Let d(o) = -2*j(o) - s(o). Factor d(r).\nAnswer: 3*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1970 divided by -394.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7037, -14056, -21075, -28094, -35113, -42132?\nAnswer: -49151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 38973*x**2 + 38953*x**2 - 77922*x**2 - 40*x. Let f(m) = -m**2 + 8*m. What is 11*f(v) + 2*i(v)?\nAnswer: -3*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 2, f: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2396345.7 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5 + 2. Let z = k + 7. Find the third derivative of 0*o**5 + z*o**5 - 29*o**6 + 5*o**2 + 18*o**6 wrt o.\nAnswer: -1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 37.1. Let r = k - 2.6. Put r, 0.4, 2 in descending order.\nAnswer: 2, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 0*g + 18 - 22. Calculate l(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4528*l**4 - 10595*l**2 - 120015561 wrt l?\nAnswer: 18112*l**3 - 21190*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 b when four letters picked without replacement from bhbhbh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 546)*1*-1*3\/3. Calculate the greatest common divisor of 480 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 26 + 46)*(2 + 9 - 3)*(-m**2 - 2*m**2 + 0*m**2).\nAnswer: -936*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11239542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 949.336 + -699.84. Let b = 249 - x. What is b rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 22*q - 3. Calculate w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 19 in descending order.\nAnswer: 19, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + 3260. Let q = 5747 - j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {i: 9, h: 4, v: 1, o: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -24, 2*u + 167494*s - 16 = 167492*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40783860 divided by 351585\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(5\/4))\/y)\/(y*y**(-2\/3))*y**(1\/5)\/(y*y**(-2\/5)))**41 assuming y is positive.\nAnswer: y**(-2419\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33830546 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round 1462.1 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 108752*t**3 - 326232*t**2 - 326224*t - 108740.\nAnswer: -4*(t + 1)**3*(t + 27185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 3.04. Let j = 5 + c. Let v = 4 - j. What is the third smallest value in 3\/2, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -8433564?\nAnswer: -843355a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*w + 91. Suppose -w*m = -19*m - 198. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103602 and 207204.\nAnswer: 207204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 0 - (-6)\/(-6). Suppose -6*g - g + 28 = d. Put 1\/2, g, -10 in decreasing order.\nAnswer: g, 1\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**4 - 3*l**3 + 3*l**2 - 9*l + 3. Let y(c) = c**4 - c**3 + c**2 - c + 1. Let b(j) = -u(j) + 3*y(j). What is the second derivative of b(f) wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufutninnnkuunnnn. Give prob of picking 4 n.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 8. Let v(q) = s*q + 3 - 4 + 0. Calculate v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-3 - -2) + (8 - 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q + 19. Calculate b(16).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2896*y - 1444*y - 1454*y + 55*y**2 as d*y**2 + v + r*y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - t)*(2*t + 0*t + 0*t) + 27443*t**2 - 27442*t**2 - 27 - 13.\nAnswer: 3*t**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 9 = 2*l + 5, -4*a = -l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 334 - -41?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*f - 2 = 22, -4*f = 2*n. Let i(r) = r**3 + 6*r**2 + 2*r - 6. Let v be i(-4). Let d = v - n. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2 - (8 - 10). Let d(y) = y**3 + 18*y**2 - 145*y + 8. Let s be d(n). Solve -1 = x - 4*p, -7 + s = 5*x + 5*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 486 + -487. Let n = -5.6 + 6. Which is the third biggest value? (a) 3 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-15) - -1)\/(57\/(-285))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 4*n - 19. Let w be m(-7). Solve -2*x + w = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7 - 5 = 0. Let h be 3 + -3*2 - o. Suppose m - 5*j + 2*j = 4599991, h = -5*m - j + 23000003. Round m to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 1769\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 205538 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0)**16)**(2\/139))**(-18) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 393 in descending order.\nAnswer: 393, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1314 and -129251.\nAnswer: 169835814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 22. Suppose -r*g - 4 = -2*j - 0, -2*g = -4*j + 20. Let q(w) = 3*w. Let f(c) = 4*c. Let n(h) = -2*f(h) + 3*q(h). Calculate n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 2*v**2 + v - 610. Let r be u(0). Let s be (-6)\/(-15) + r\/25. What is the hundreds digit of ((-2)\/6)\/((s\/909)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3851 + -3851. Solve t = 2*a - 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 17 = 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i\/((i*(i**(-9)*i)\/i)\/i)*i)*i\/i**(-4)*i**(1\/3)*i*(((i*(i**(-2\/5)\/i*i)\/i*i)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.88, -0.3, -0.5, -3, -31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/6 (b) -0.06 (c) -2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a. Suppose -9*i + 6 = 33. Let m(c) = -c**3 - 5*c**2 - 6*c + 2. Let s be m(i). Let p(x) = 5*x**s + 50 - 95 + 45. Give p(d(q)).\nAnswer: 320*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.94 - -6. Let g = c + 8.94. Let p be 6\/(-16) - (-17 + 51635\/3128). What is the closest to 0 in 2, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6513*a**2 - 4175*a**2 - 7133*a**2 in the form g*a**2 + h*a + w and give g.\nAnswer: -4795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 - -487. Let q = -480 + r. Let g = -208 - q. What is the remainder when g is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130896\/5*z + 1101708\/5*z**2 + 3090903\/5*z**3 + 5184\/5.\nAnswer: 3*(101*z + 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57966 divided by 19322\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 41. Suppose -12 = 3*y, 8 = 4*s - 0*y - 4*y. Let a be (s\/(-8))\/(14\/(-8)). Is a smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-7) - ((-1)\/(-55))\/((-2)\/(64\/(-16))).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 8, -3, -14293, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + (12 - (4 + -1)) - 8) + 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4441, 8894, 13307, 17662, 21941?\nAnswer: 26126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.3513547 microseconds in days?\nAnswer: 0.00000000030499253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212010013231 - 11?\nAnswer: 1212010013220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 25 = 4*s. Let y = -0.4174 + 0.6174. Which is the nearest to y? (a) 3 (b) s (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/57028076 and -41\/34552?\nAnswer: 114056152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19371342091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 0.5, -6, -0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 2*r + 0*r)*(2 - 428*r + 421*r + 0) as d*r + y*r**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 63 = u. Suppose -6*x + u*x = -4440000. What is x rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 3*v + 7. What is the tens digit of j(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + p = -2*p, 2*i - 4*p = -2. Is 25 a factor of i - 12\/(-4) - 1*-111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:44 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -0*d, 5*d = -k + 25. Suppose 3*b + k = -j + 5*b, j = -5*b + 30. Let o = 21 - 1. Solve x - 3*p = 12, 0 = -x - j*p - o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let c(q) = 1045164*q. Give c(b(t)).\nAnswer: -1045164*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 35*t**2 - 2*t + 9. What are the prime factors of q(-9)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/318790603 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1194, 0 in increasing order.\nAnswer: -5, 0, 1194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((3 + -6 - 2739) + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 27*z - 57. What is d(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - -7) + 337\/78. Let w = p + -2\/13. Suppose -5*n - 5*f = 25, -2*n + 2*f = f + 16. Which is the biggest value? (a) -0.3 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.3 (b) -0.2 (c) -12 (d) 2\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188834, 188869, 188916, 188981, 189070, 189189, 189344?\nAnswer: 189541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62715390, 125430779, 188146168, 250861557, 313576946, 376292335?\nAnswer: 439007724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 10) in base 16?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*j - 5127 - 7504 = -282*j + 71102 for j.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180104.13 months in decades?\nAnswer: 1500.86775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/1691 - -30468\/8455. Factor -27\/5 - 3\/5*n**2 - s*n.\nAnswer: -3*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -862622.3\nAnswer: 431311.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5 + i - 4*i + 6*i. Let y(d) = -21*d + 46*d - 24*d + 1. Suppose 4*p - 4 = 16. Determine p*y(a) - x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3556 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 6*k + 15. Let m be l(3). What is the smallest value in -22, m, -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10*a = -1110. What is the remainder when a is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 661 - 1295\/2. Find the common denominator of (2\/(-8))\/((-6)\/(-18)) and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117576817.\nAnswer: 29, 1181, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.5775 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 - 2*v. Let o(q) = -q**3 - 7*q - 6. Let p(d) = -o(d) + 5*y(d). Let c(r) = r**3 - r**2 - r + 1. Let f = 3 + 2. Calculate f*c(n) - p(n).\nAnswer: -n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -10*n**3\/3 + 416*n**2\/3 - 242*n\/3 - 164\/3 = 0.\nAnswer: -2\/5, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 596*a**2 - 5546*a - 6140.\nAnswer: 2*(a - 10)*(a + 1)*(a + 307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 20 in decreasing order.\nAnswer: 20, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35\/(-21))\/((-2)\/(-6)). Let g = -3 - t. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(3) - (5 + (sqrt(3)*-2 - sqrt(3))))*-3 - (2 + -5 + sqrt(9)\/sqrt(3)))**2*4.\nAnswer: -16620 + 9360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r**2 - r + 1. Let h(v) = -v**3 + 13*v**2 - 23*v + 11. Let g(t) = -h(t) - 2*q(t). Determine f, given that g(f) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227369539 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 24, 3, 2, 13, 83 in increasing order.\nAnswer: -4, 2, 3, 13, 24, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 2, q: 8, e: 2, r: 5}. What is prob of picking 2 q and 1 j?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 306 (base 8) to base 13\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 520699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(1680\/(-32)))\/((-2)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -10. Let r = d + -10. Solve 0 = -c - k - 9, -3*c + r*c = k - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 721145088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10591*i**2 + 133*i - 10591*i**2 - 127*i**4 wrt i.\nAnswer: -1524*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -2392.\nAnswer: 239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 486*v - 185*v - 65*v - 42*v + 14 to the form c + l*v and give l.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433557.\nAnswer: 3, 67, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1) + 1 + 0. Let t be (-4)\/50*-5*10. Solve 0 = -4*k + 4*q - 24, y = -k - 0*k - 4*q + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 89?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/25830265 and 19\/1150.\nAnswer: 258302650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.9 + -6. Let s be (10\/(-2))\/(3 - 4). Let x = s - 8. Sort x, 4, c in descending order.\nAnswer: 4, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-v - 2*v + v) + (-3 - 1 + 3)*(v + 3*v - v)*(3 - 3 - 1).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33668004 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 225247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 60*c**2 - 638*c + 40. Determine g(-46).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3445553 rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1538165.349ms to weeks.\nAnswer: 0.0025432628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 135 = b, -2*o = -2*b + 4*b - 318. Is 31 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y + 10. Let b = y - 0. Suppose -3*z = -b*z - 38. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237664 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3)*(2520\/240)\/(-21)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.1 (c) -0.17 (d) 7.21 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, -16, -12, 16, 8.\nAnswer: -16, -12, 3, 8, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -2*j - 16, 3*j + 38 = 5*z. Suppose 4*l - 3*l + 13 = 3*b, 3*b - z = -5*l. Let u be 1*3 + (1 + 3)\/b. Solve 0 = s + s + u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 751*u**3 + 9*u**2 - 179. Let w(x) = -375*x**3 - 4*x**2 + 89. Let j(f) = -6*o(f) - 13*w(f). Find the third derivative of j(p) wrt p.\nAnswer: 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11052 + 45881 = u + l, 0 = 2*u - 4*l - 69688. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 909*u + 2707*u - 65088 = 0 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178076094 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 + 4*o. Let i(f) = -6*f**2 + 4*f. Let c(m) = -7*a(m) + 6*i(m). Suppose 3*r + 31 = -23. Let w(t) = t. What is r*w(d) - 4*c(d)?\nAnswer: 4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 5, v: 1, o: 2}. Give prob of picking 1 f and 1 n.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000124566 to seven decimal places.\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228775748*a + 24247519 wrt a?\nAnswer: 228775748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -46538*m - 7. Determine c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24\/30*(-21 - 265\/(-15))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 + -2)\/4 - 1073. Let w = t - -1575. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73.92615 months?\nAnswer: 0.061605125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)\/sqrt(5))\/sqrt(8))**2 - sqrt(2))*-3.\nAnswer: -6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y - 2*y. Suppose 3*v - f - y*f = 19, 10 = v - 5*f. Suppose -5*q + 2*q - 9 = -v*u, -q = -2*u + 3. What is the nearest to u in 5, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155857 and 5048.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(12\/11)*s**(-6\/11))\/(s**17*s*s**22))**(21\/4) assuming s is positive.\nAnswer: s**(-4557\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350 and 21672?\nAnswer: 1625400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((1 + sqrt(931))*-3 + 3)*5)**2*-1*-5.\nAnswer: -1050*sqrt(19) + 1047380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/7 + 282*b**4\/7 - 284*b**3\/7 = 0. Calculate b.\nAnswer: -142, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0 (c) 3\/2 (d) -6 (e) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 30\/25)*(-34210)\/4. Let d = 12891 + w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 10080?\nAnswer: 110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1054476, 2108950, 3163424, 4217898, 5272372, 6326846?\n\"Answer: 1054474*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 703\/114 + 4\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -4*m + 2, -5*p - 13 = 2*m. Let f(y) = 3*y - 5*y + 337*y**2 + 452*y**2 + 0*y. Is f(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, f: 2, v: 1, e: 2, u: 1}. What is prob of sequence ve?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8375366 a multiple of 2052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-2)\/4 - (1 + 3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12944 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.5097m to kilometers.\nAnswer: 0.7385097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-6))\/((-7)\/(-2))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(288) - sqrt(288))\/sqrt(12))\/((sqrt(12) - (sqrt(300) + (sqrt(300)*-5 - sqrt(300)))) + sqrt(12) + sqrt(12))*6.\nAnswer: -6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10872 + 556*x - 10872 as c*x + f and give c.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-176)\/(-128)*-2 - -3. Put 6\/5, 1, i, -1 in descending order.\nAnswer: 6\/5, 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 31530\/(-27) - (48\/(-27) - -2). What is the tens digit of (w + -8)\/(-7) - 0\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1246 - 444 = 0. Let n = g - -351. Solve 0 = 4*l - 4*x - 11 - 1, n = 3*l + x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = 8. Suppose 3*a = h - 38, 4*a + 0*a + 78 = k*h. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 128*r - 316*r - 39*r - 707*r.\nAnswer: -934*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y - 4. Let x be q(8). What is the highest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1500242*y + 9001518. Determine d(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1491853 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.481 and -41025.632.\nAnswer: -41024.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41045 less than -0.133088119?\nAnswer: -41045.133088119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmm when three letters picked without replacement from {t: 4, r: 2, m: 1, j: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4\/2 - 6627*y**3 + 373467*y**2\/2 + 6627*y - 186732 = 0.\nAnswer: -4446, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 8. Calculate r(14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332409460 to the power of 1\/2, to the nearest integer?\nAnswer: 18232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46411.21kg in micrograms?\nAnswer: 46411210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3)*z*z)**(3\/2) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 13. Suppose -2 = -3*v + 4*v + n*l, -4*v - 2*l + 10 = 0. Find the first derivative of 0*o**v + 4*o**4 + 10 + 8 - 21 wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2118 and 1349519.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/(-225)*(-6)\/35*(-15)\/294.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10688, 21429, 32154, 42857, 53532, 64173?\nAnswer: 74774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3030669 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*v**4 + v - 4*v + 49*v**2 - 46*v**2 as z + d*v + a*v**3 + w*v**4 + f*v**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * 49.\nAnswer: 132.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from aoozdd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1021 - 4083\/4. Sort 5, -3, -1.9, m in ascending order.\nAnswer: -3, -1.9, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142 + 141.9999977. Round m to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 65*w**2 - 79*w - 820. What is the remainder when b(63) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 + -3. Suppose 2*j - q - 7 = 0, -5*j + 0*j = 5*q - 25. Suppose a - 5*a = -4*g - 4, 20 = 2*a + j*g. What is the closest to -0.1 in a, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -76*s + 188. Calculate d(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvmvvvmjmvjv. What is prob of picking 3 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0 = 3*r + 1, 5*p + 2 = 4*r. Suppose g - 3*b - 2*b = -25, 0 = 4*g - p*b + 10. Solve -3*q - 2*y - 3*y - 32 = g, 24 = -2*q - 4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (38 - (13 - -26) - -9)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-48)*-10 - 7\/21. Suppose -18 = -y - 2*k, 3*y - 5*k - 14 = 18. Let g be y\/(-18)*4\/(-14). Which is the closest to i? (a) -2 (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*z + 4*g, z + 5 = -5*g + 23. Let c(n) = -n**3 - 2*n**2 - 1 + 4*n - 3*n**2 - z*n. Let y = -28 - -25. Determine c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*3\/(-18))\/(2\/4). Let r be (-2 - x)\/((-2)\/5906). Suppose -3*g = 2*p - r, -g + 6*g = -p + 1494. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13250368 to the nearest integer?\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83335 or 83334?\nAnswer: 83334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 90 = 5*x. Let d = x + 21. Let q(y) = -4*y + 4. Let l(s) = -17*s + 17. What is d*q(k) + 2*l(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-3 - -4) + -6)) + (-2933 - -2868)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**7\/210 + 3*q**6\/80 - q**5\/20 + q**4\/3 - 15*q**2. Let z(j) be the second derivative of f(j). Find g, given that z(g) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1745 - -0.1745. What is the third smallest value in 11\/72, p, -1\/3?\nAnswer: 11\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/9, -316, 5, 3\/8, -2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-10)*p*p*p*p**8*(p*p\/(p\/(p\/(((p**(-2)\/p)\/p*p)\/p)*p)))**16 assuming p is positive.\nAnswer: p**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 57\/8 - (-12)\/(-96). Let l(j) = -11*j + i - 3 - 4. Let f(u) = -u**2. Give l(f(h)).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3592\/15921 + 6\/1769. What is the smallest value in s, 1\/6, -2\/3, -0.4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 + 800*j + 1584 = 0.\nAnswer: -198, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 5*m**2 - 30*m - 9. Let a be h(4). Suppose 3*z + 30 = -2*z + 5*w, z + w = 0. Sort -5, z, a, 3 in ascending order.\nAnswer: -5, z, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -21. Let w = 953913.3 - 953889.299915. Let y = w + r. What is y rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p. Let a(s) be the first derivative of -s**4\/8 - 23*s**2\/2 - 3. Let c(z) be the second derivative of a(z). Give r(c(y)).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/15)\/((-4)\/6). Let j = 6 - 2. Suppose j - 2*a**h - 4 + 2*a**3 - 2*a + 2*a**4 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = -12*f + 308. Let s = 2\/5 - 0. Factor -2\/5*o**f - 4\/5*o - s.\nAnswer: -2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -5, 64, 191, 394, 691?\n\"Answer: 3*l**3 + 2*l**2 + 2*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-14) - 3008\/1316?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213 at most 16427\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-531)\/(-5) - 10\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 5*j**7\/42 + 38*j**6 + 4332*j**5 + 548720*j**4\/3 + 748*j. Solve x(y) = 0.\nAnswer: -76, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v + 8. Let q be o(10). Suppose 2*n - 15 = -n. Suppose 24 + 31 = n*p. Calculate the greatest common divisor of p and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*r + 13, 287*r + 5*v = 288*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 885 and 5782.\nAnswer: 86730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 - 11*j**3\/3 - 11*j**2\/2 - 49*j. Let n be f(10). Let h = -113 - n. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 14*x - 7. Let u(v) = v**2 - 2*v + 2. Give -i(z) - 3*u(z).\nAnswer: -z**2 - 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*10)\/5 + 3. Let x be ((-1)\/s)\/((-2)\/(-6))*-75. What is the units digit of (248\/(-10))\/(((-10)\/x)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 73.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8107370836 - 5972.\nAnswer: 8107364864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1 (c) 2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1870577 divided by -6?\nAnswer: 1870577\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + 7 - 1 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 181\/4 in 588, 1, -10\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wgiggeemwmiwxe.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*z + 4*f, -5*z - 5*f = -14 + 59. Put -8, z, 0 in decreasing order.\nAnswer: 0, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/653 + -4688\/338907. Let y = j - 554\/62799. Let f(d) = -d + 5. Let g be f(6). Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/66609972 and -29\/30277260.\nAnswer: 333049860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 20 - (24 + -11 + -7 - (98 - 1))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0533 + 3.0533. Let p = 0.067 + 3.933. What is the closest to v in p, 0, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.022 - 1.582. Let a = q + 1.55999842. Round a to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/47)\/z)\/(z*z**(-1\/7)\/z*z) assuming z is positive.\nAnswer: z**(-268\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 2 - (-7 + 8). Suppose -m*l = -3*i - 10*l + 1726, 1758 = 3*i - 3*l. Suppose 96 = 3*f - i. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3079 + -1928. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 - 641. Let p = m - -489. Let a(c) be the third derivative of -c**5\/60 + c**3\/3 - 4*c**2. What is a(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + 4. What is the highest common factor of r and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15236 is divided by 1904.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/(g\/(g\/g**(-8\/7)*g))*g*g)\/g)\/g))\/g**(-6\/7)*(g\/(g*g**(1\/12)))\/g*g*g*g\/(g**(-14)*g)*g assuming g is positive.\nAnswer: g**(1229\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 + 2717 - 7)\/((-2)\/(-16250)). What is w rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13382.06 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -0.2 (c) 3 (d) 2.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/25124 and 17\/3236.\nAnswer: 20325316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 23437 - 23437.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 147697.\nAnswer: -147701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.89 and 0.5.\nAnswer: 9.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*f + 2 = k, f + 6 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ropr when four letters picked without replacement from {o: 1, w: 1, g: 1, r: 2, p: 2, a: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120\/97 or -2?\nAnswer: -120\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -i - 13, -r = 2*i - 3*r + 14. Let p(k) be the first derivative of -k**3\/3 - 2*k**2 - 3*k + 2. Determine p(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1884 and 1.06072.\nAnswer: 1885.06072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*d = 8 + 10, d = 0. Let y(s) be the first derivative of -s**3\/6 - 3*s**2\/2 + 16*s + 35. Let l(q) be the first derivative of y(q). Give l(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + -2*sqrt(96) + sqrt(96) - (sqrt(864)*2 - sqrt(864)))\/(5*sqrt(8)*1*6).\nAnswer: -7*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(2 - 6 - 1) - 3 + 3 - 2)*(6*q + q - 3*q).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z**6 + 0*z**5 + 0*z + 0*z**4 - 3\/70*z**7 - 56 + z**2 - 1\/2*z**3. Differentiate v(m) wrt m.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 406\/42)*(-6)\/(-55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1133, 8932, 30099, 71318, 139273, 240648, 382127?\nAnswer: 570394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*l - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27050.125 take away 5266?\nAnswer: 21784.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -551227, -1102472, -1653717?\nAnswer: -2204962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + 7*i**2 - 12*i + 2*i**2 + 2 - 15. Let g(r) = r**2 - 3*r - 3. Let m(x) = -9*g(x) + 2*v(x). Give m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 304, 1837, 4268, 7591, 11800, 16889?\n\"Answer: -z**3 + 455*z**2 + 175*z - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 7689\nAnswer: 5\/7689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 4*r - 12, 17 = -2*r + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 998783 > 998808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10000 - 111?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, 0, -132, -3, -125 in descending order.\nAnswer: 1, 0, -3, -23, -125, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*w. Suppose w = 2*h, 0 = 3*l - 6*h + 2*h - 47. Is l bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g = -38*g + 9809. Let z = -3550 + g. Let p = 62701\/10 - z. Calculate the common denominator of -25\/9 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4091 times 2.1?\nAnswer: -8591.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -0.26 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153300 = -29381*v + 31481*v for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27355 is divided by 684?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooovcvcooovoooco. Give prob of picking 2 v and 1 c.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*g**3 - 2*f*g + 33*f + 67*g**3 wrt g.\nAnswer: 6*f*g + 402*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38528\/(-120400))\/((3\/18)\/((-2)\/16))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4 - 4*h**3 + 2*h + 4*h**2 + 2 - 2*h**2 + 2*h**3. Give n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 7*d. Let p be y(6). Let g = -13 + 19. Let z(q) = -3*q**2 - 4*q**2 + 6 + 6*q + g*q**2 - 3. Give z(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1430 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/(((-42)\/(-3))\/(-28))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6690, -6695, -6700?\n\"Answer: -5*a - 6685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -273.\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.176 - -0.084. Let a = 4.26 - t. What is the nearest to 2\/3 in -1\/6, a, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.5 - -4.7. Let p = 6.81 + o. What is p rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-19 + 30 - (0 + 2) - 7).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l = -5*u + 10, 59 = 5*l + 4*u. Calculate the smallest common multiple of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) -2\/11 (c) 8 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8048 + 0.0048. What is the closest to -2 in 2, 14, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252287746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 3*p**2 + p**3 - 2*p**2 + 2*p - 5 + p**2. Let y be l(4). Suppose g - y - 20 = 0. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113 times -3?\nAnswer: -0.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**3 + 36*n**2 - 9*n + 13. What is t(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 137093 + 2?\nAnswer: 137095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -31232211?\nAnswer: -31232112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + u)*(-13*u**2 - 33*u**2 + 22*u**2).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 29*a**2 - 8*a + 27. Let v be z(-11). Let q = -1777 + v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/21*((-286)\/(-4) + -4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -386.10544092862.\nAnswer: -391.10544092862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-9))\/v**(-17) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51.1 + -49. Let b = p + -1.8. Let j = 153\/5 + -31. What is the closest to 1\/4 in j, -1\/8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 28 - 30. Let p(z) be the first derivative of z**4 + z**2\/2 - z - 1. Give p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/35 and -79\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -4*h, -h = -5*h + 4*r. Suppose -h = -4*l + 6. Let q(s) = s + 6. Let v be q(-3). Solve -p = -v, l*w = -2*p + 2 + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8 = y. Let i = -1 + 1.2. Which is the closest to 1\/2? (a) i (b) y (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 45 = -3*j, 3*h + 42 + 44 = 2*j + 63 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -3. Let w = -10 + d. Suppose w - 7 = -3*m. Solve -2*l - m = -2*v + 2*l, -3*v + 2*l - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:27 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/2357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107510 - 107513. Let r = -3 - -4. Which is the smallest value? (a) 112 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 4*t**2 - 8*t - 1. Let k be v(-5). Solve -h = 5*g + 2 + 12, 2*h + 3*g = -k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15552 and 4025781?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9657 and -0.5.\nAnswer: -4828.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + (-6)\/15. Let j be 3 + -1 - (2 - a). Let c be (-4)\/2 + -1 + 3. Is j equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiko when four letters picked without replacement from oikit.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.4736131 * -1\nAnswer: -1.4736131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1004 (base 5) to base 14\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q + 11. Give d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/((-9)\/(-6)*192\/(-811080)).\nAnswer: 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 6. Let q(l) = -6*l - 5. Give -6*q(y) - 5*w(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 7*i + i**3 - 5 + 7*i - 10*i**2 + 8*i. Let c be l(5). Suppose 3*g = 2*g + c. Calculate the remainder when 29 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1 (c) -2816 (d) -4\/7 (e) 9 (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 10*c + 24. Let y(w) = w + 7. Let i be y(-5). Suppose i*l + 0*l = -2. Calculate z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7466?\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -14.9999999. What is y rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4208, 8414, 12618, 16820, 21020, 25218?\nAnswer: 29414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, m: 10}. Give prob of sequence mmmm.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 119472 = -10*m - 3*p, 2*m + 5*p = 79627. Is m 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 {k: 1, b: 1, c: 1, m: 1, d: 1}. What is prob of sequence bd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2345820 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0373 * -0.1\nAnswer: -0.00373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 76*r + 27. What is q(4)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -5*s - c - 106, -2*s = -5*c - 63. Let b(a) = -19*a - 56. Let f be b(-11). What is the greatest common divisor of f and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 12*j - 31. Let t be 3 - ((-12 - -4) + 5). Let c be x(t). What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 divided by 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -142 (c) 32\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 6*b**3 - b + 2*b + 0*b + 3 to the form i*b**3 + n*b + u + k*b**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 71\/6, 0, 0.0012?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 43929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 - 11 = 0. Suppose -k*v = -3*w + 8 + 10, 2*w + 5*v + 9 = 0. Suppose 0*y + w = -y. Is -2 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/3915*2205\/(-70).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211484 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 309 + 171 + 65 = 3*j + l, 40*j - 5*l = -345 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*h + 6*h + 1906, 0 = -u - 2*h - 386. Let q = u - -2654\/7. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 6. Let o be b(4). Is 2 - -14 - (4\/1 + o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 178252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*p - 4*p. Let f be (1 - -4)\/(p - 7). Suppose -2*i + 2*g = 5*g + 25, 3*i - 4*g - f = 0. Which is the nearest to -1\/3? (a) i (b) 1\/2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 3*v - 9. What is g(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 + 7*a - 1. Let y be d(6). Suppose 2*n + y = 11. Solve -4 = -2*i + n*b, 5*b + 2 = 4*i - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -30\/473 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653662 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2529, 4, -3?\nAnswer: 2529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 1, j: 4, x: 1, w: 2}. What is prob of picking 1 x and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3132.662274 to the nearest integer.\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 81892337 to the power of 1\/2, to the nearest integer?\nAnswer: 9049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 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: Expand (p**3 - p**3 + p**4)*(-2 - p - 1 + 1) + (-p**2 - 3*p + 3*p)*(-2*p**3 + 0*p**3 + 0*p**3).\nAnswer: p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 17 - 12*o**2 + 3*o**2 - 2*o**2 - 4*o**2 + (-2*o**2 + 1 - 1)*(1 + 0 + 0 + (8 - 25 + 13)*(0 + 0 - 2)) as s + d*o + j*o**2 and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 7 - 0. Let k be (-2 - u\/4)*4. Put k, 2, 1 in descending order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2152776.62999957 + -2152769.83. Let k = p + -6.8. What is k rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7345 + 3a6?\nAnswer: -6e8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-1)\/17 - 0). Suppose 0 = 4*n - 5*n + 2*s + 164, 0 = s. Let l = n - r. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 11*u - 400 = 0. Let s be u*(-3)\/30*-28. What is s rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 8) to base 14.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -22*a**2 - 841*a - 191. What is x(-38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136724 or 136719?\nAnswer: 136724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 167, 575, 1365, 2663, 4595, 7287, 10865?\n\"Answer: 21*j**3 + 2*j**2 - j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 21*p + 2. Let m(o) = 20*o + 5. Let b(t) = -60*t - 16. Let a(x) = -2*b(x) - 7*m(x). Let g(l) = -3*a(l) - 4*q(l). Does 13 divide g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 55036534.444603\nAnswer: 55036534.444603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 7444170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120810*a**3*d**3 + 2*a**2*d**3 + 7*a**2*d**2 + 16*a**2*d + 18*a*d**3 - 4*d**3 wrt a.\nAnswer: 724860*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1\/90*u**6 - 1\/9*u**3 + 1\/30*u**5 + 0*u**4 + 2*u + 0 + 1\/6*u**2. Determine c so that y(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457098*x**4 + 144*x - 595?\nAnswer: 5485176*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 124 = -4*i - 0*c, -5*i + 162 = -c. Let u = -17 + i. Suppose 2*s + 5 = u. What is the remainder when 13 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 3\/7, 3, -0.2, -0.02, -29?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, v: 1, t: 1, i: 2, x: 1}. What is prob of picking 2 i, 1 x, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 39 = 6*p + 5*f, -5*f = -5*p + 25. Let w be (3\/(-18))\/(26\/p). Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3 + 8*n - 3*n - 2 + 4*n. Let l be u(1). Sort 0.3, -6, 0, l in ascending order.\nAnswer: -6, 0, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1060752 and 12177.\nAnswer: 9546768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 + 1 + z. Let g(u) = u**3 - 33*u**2 - 3*u - 64. Let q be g(34). Let y(c) = -990 + 14*c**2 + q. Calculate y(r(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798277319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 736 - 22. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -6\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101110011101110 (base 2) in base 9?\nAnswer: -145471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1464 and 5\/252?\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.4 (b) -620 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*f + 85681 = 0, -73*m - 85701 = -74*m + 5*f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/9 + 8*g**4\/9 + 2*g**3\/9 - 32*g**2\/9 + 8*g\/3 = 0. What is g?\nAnswer: -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2407233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.209998058 + 21.21. What is l rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101001202021 - 12?\nAnswer: 2101001202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 2:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-147)\/2) - (-192)\/12600.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-273))\/((-31)\/217). Let d = -2.9 - -3. What is the closest to 0 in 3, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000101111100110 (base 2) in base 8?\nAnswer: 205746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/24900 and 23\/9?\nAnswer: 74700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/((-3)\/6). Let v(h) = -h**3 + 7*h**2 - 4*h - 5. Let l be v(6). Let y be 3\/(-1) + c + l. Solve 9 = y*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 577 + -436. Let y = z + -136. Solve 2*x + y - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/h*h\/h**3*h*h**(-2\/3)*h**(-10))**(-28) assuming h is positive.\nAnswer: h**(1736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 1173*w**3 - 26 + 4*w + 26 - 1093*w**3.\nAnswer: 80*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -341 - -515. Let b = -30 + 32. Calculate the remainder when n is divided by b\/10 + 522\/15.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = 0. What is the closest to 0 in -0.1, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65536 (base 7) to base 3.\nAnswer: -211111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**3)**(-49) assuming t is positive.\nAnswer: t**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f = 14*f - 16000. Let v = -453 - f. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in -1\/3, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c + 49. Factor -m - 11*m - 1 + c*m**3 + 26*m**3 - 32*m**4 - 2*m**2 - 1.\nAnswer: -2*(m - 1)**2*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 18*u - 16*u - 13 - 5*u - 9*u. What is the units digit of f(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107309481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*i + 19938 = 19707, 3*i = 2*m - 138 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/20 - 283*w**3\/6 + w - 106. Find the second derivative of q(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-16944.915\nAnswer: -16945.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837169901 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -670378 and -50.\nAnswer: 33518900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.9106093 rounded to 1 decimal place?\nAnswer: -86.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10355577?\nAnswer: 3, 3451859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404525 + 7*k**2 - 404496 - 404520 + 1213541.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**3 - 15*s**3 - 2*s**2 - 208*s**3 - 58*s**3 as j*s + q + o*s**2 + x*s**3 and give x.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11605175?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(448) + 1)**2 + -2)*-5 + (sqrt(700)*-1 + sqrt(700) - sqrt(700) - sqrt(700))\/((sqrt(8)*2)\/sqrt(2)) + 3.\nAnswer: -2231 - 85*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277 + 346. What is the remainder when 197 is divided by d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -134, -162, -224, -332, -498, -734, -1052?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245116423 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*n = -14 + 2, -b - 5*n = 16. Suppose -b*p + 8 + 0 = 0. Suppose p*l + 2*l = 40. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*j = 2*g + 92 - 25, 2*g = 6*j - 2*j + 40 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 405\/27 + (-14 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + -21 + (15 - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13197744 and -0.4.\nAnswer: 13197743.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i - 3. Let u(k) = 1769*k. Calculate u(s(p)).\nAnswer: 10614*p - 5307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from qqcqqcqqqqq?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 134373554 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + y**2 - 5*y**2)*(3*y + y - 3*y) to k*y**3 + b*y**2 + d*y + r and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y - 2*y + (-2 + 1 + 3)*(-y + 0*y + 0*y) + y - 5*y + 2*y)*((-3 + 3 - 3)*(2 + 2 - 5) - 6 - 2 + 3)*(1 - 1 - 2*y**2).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 3\/(-2)) + 422996\/(-181356). Let p = x + -2\/2159. Let -1\/3*m + 1\/3*m**3 + 0 - p*m**2 + 1\/6*m**4 = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4065.2 + -4065. Which is greater: f or 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.3686116 centuries in months?\nAnswer: 442.33392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -286, -159, -32, 95, 222?\n\"Answer: 127*b - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 69, 4, -4?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -32598524.\nAnswer: -1\/8149631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 12:51 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30767, -122951, -276589, -491675, -768203, -1106167, -1505561?\nAnswer: -1966379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11050055, -22100105, -33150155, -44200205, -55250255?\n\"Answer: -11050050*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1392992036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.8839745 times 0.2\nAnswer: -0.1767949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-10) + (-60)\/50. Let i(g) = 50*g - 7. Let z(h) = -1. Let c(q) = r*i(q) - 4*z(q). Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -758 divided by -243?\nAnswer: 758\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = g. Suppose -2*m + g*x + 10 = 0, 0 = -4*m - m - 2*x + 4. Let u = m - -30. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20 + 0)*45\/(-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1896302162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 947785*n*o**3*w - 2*n*w + 561*o**3 + 32*o**2*w + 2*o**2 + 2*o + 3*w wrt n?\nAnswer: 947785*o**3*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*j**3 + j**2 - 9*j - 475*j**3 + j**4 + 246*j**3 to i + r*j**2 + a*j**3 + w*j + k*j**4 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -800 smaller than -1013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, f: 2, d: 3, g: 3, t: 1, r: 1}. Give prob of picking 1 t, 1 d, 1 g, and 1 f.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/8941046 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -0.7. Let y = 0.69 + -0.09. Let v = w - y. What is the third biggest value in v, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from odooboljojobdool?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36312 by 58.\nAnswer: 18156\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12462 + 66?\nAnswer: 12508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s + 2*s - 20*s. Let u(j) = 3*j**2. Determine g(u(y)).\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-247) + (-10989)\/36993\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Suppose c*y = y + 6. Let d(z) = -4*z**3 + 3*z**2 + 3*z. Let o(f) = 9*f**3 - 7*f**2 - 7*f. Give y*o(r) + 14*d(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 + ((-303)\/(-12) - 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300109 divided by 385\nAnswer: 300109\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:22 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Simplify 0 + (sqrt(2) - (sqrt(72)\/sqrt(3))\/sqrt(12) - sqrt(2))*4 + 2*(sqrt(242) - -2*sqrt(242)) + 5.\nAnswer: 5 + 62*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0*v + 0 - 1\/12*v**4 + 0*v**3 + 8*v**2. Let w(t) = -t - 1. Let b(h) = -1. Let z(u) = -b(u) + w(u). What is z(n(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**2\/3 + 5920*v\/3 - 728208 = 0?\nAnswer: 702, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (334\/22)\/1 + (-2)\/11. What is the highest common factor of u and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/4 + 41158*a - 164633\/4 = 0.\nAnswer: -164633, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2335.\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893250995?\nAnswer: 5, 7, 13, 73, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**3 - 3*w**2 + 3*w - 4. Let g(i) = i**2 - i + 1. Calculate -3*g(u) - y(u).\nAnswer: 10*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/20 - 3*q**4\/4 + q**3 - 2*q**2 - q. Suppose -25 = -7*z - 95. What are the prime factors of c(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -178, -414, -744, -1168?\nAnswer: -1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 - d - 6. Let i(c) = -4*c**2 - c - 7. Determine 7*a(h) - 6*i(h).\nAnswer: -4*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-36)*28\/147*6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -35651?\nAnswer: -35655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 707 + -707. Suppose -1385 = -5*f - 4*h - h, -4*f + h + 1118 = i. What is the remainder when f is divided by 68?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195.5 + -198.5. Which is the third smallest value? (a) i (b) -5 (c) -28\/15 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 7. Let n(a) = a**2 - 16*a + 45. Let z(t) = -n(t) + 6*w(t). Factor z(k).\nAnswer: -(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*i**(1\/4))*i)**40\/(i**(-7)\/i**7)*((((i*i**(-2)*i)\/i)\/i)\/(i\/(i*i**(-9))))**(-38\/7) assuming i is positive.\nAnswer: i**(726\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 1.1. Let a = -1.4 - -1.2. What is the nearest to s in a, -1, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*k + 2*c + 5, -5*k = 3*c + 11. Let r(n) = -5*n + 1. Let u be r(k). List the prime factors of 22\/u + 4\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1757\/38 + 5\/19. Calculate the common denominator of -69\/10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-33738)\/9*12*(-6)\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37175\/6 + 6216. Let v = 1\/168 + 5\/42. Let d = 1 - v. What is the common denominator of o and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/47835 or 1?\nAnswer: 2\/47835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z + 7. What is a(-12)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/32 and -91\/816?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12584?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 49.\nAnswer: -4, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2686606, 5373214, 8059822, 10746430?\n\"Answer: 2686608*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/5 + 40*h**3 + 1882*h**2\/5 - 40*h - 1881\/5 = 0. What is h?\nAnswer: -9, -1, 1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/6 - 9545*z**3\/3 + 19099*z**2\/6 + 76358*z\/3 - 38182 = 0?\nAnswer: -19091, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 3}. Give prob of sequence ip.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -7)\/(((-90)\/(-8538))\/5). Let d = -266 - r. List the prime factors of d.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 64. Let w be (-11)\/55 - o\/70. Which is the third smallest value? (a) 0 (b) 6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 3*y**5\/20 - 3*y**4\/8 - y**3\/2 + 9*y**2\/4 + 12*y. Determine x so that n(x) = 0.\nAnswer: -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 82524.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 33*g + 13.\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:12 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 4. Let g(b) = b**2 + 4*b - 3. Let y be g(-4). Let v = y - -10. Calculate the remainder when 19 is divided by d(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.984 + 0.016. Let r = -3 - 5. Let i = r - -6. Is a at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203148891 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949467619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*c - 3, -19*q - 2*c + 15 = -16*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*m**2 + 492*m**2 - 23*m**3.\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175521880 rounded to the nearest 1000000?\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -5) + 6 + (-1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 29*l**2 - 34*l + 24. What are the prime factors of y(27)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-24) - (-51)\/(-9). Let h(z) = -z**2 - 5*z + 6. Let q be h(-6). Put q, -5, k in ascending order.\nAnswer: k, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 108\/(-30) + 3 + (-6)\/(-10). Suppose -1 = -g - 5*c + 10, g + 4*c - 9 = 0. Let f = 2 - -3. Solve h = -p + f - g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.6. Let c = -8.762 + 11.762. What is the closest to 5 in x, c, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41025 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2. Suppose 10 = 7*c - 11. Let o(b) be the second derivative of 13*b - c - b**3 - 3 + 6. Determine f(o(m)).\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)\/((-3)\/30). Let j(b) = b**2 - 7*b - 10. Let k be j(h). What is k rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 45. Let n be (r\/(-36))\/(26\/6). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 4 (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4944.6 (b) 2\/7 (c) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90937 and 818433?\nAnswer: 818433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5930731*s**3 + 39185859*s**2 wrt s?\nAnswer: 35584386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14*q)\/q*q**1 assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475170123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 2854791?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n = -40*n - 5537. What is the common denominator of 59\/3 and 1\/(-6) + n\/(-546)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 27*v + 17. Let o(z) = z**2 + 9*z - 6. Let x = 14747 - 14730. What is x*o(f) + 6*j(f)?\nAnswer: -f**2 - 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:53 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -14*r + 35 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 540. Let x = l - 977\/9. Which is bigger: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2519 and 110868747.\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101111101010101101001010 - -101?\nAnswer: 100101101111101010101101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -4 (c) 24269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 3. Let p be a(1). Let z(n) be the third derivative of -n**4\/12 - n**2. What is the smallest common multiple of 3 and z(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u - 141 = 2*i, 0 = 2*i + 6. Let t = -3361 - -3373. Calculate the remainder when u is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 49*f + 5. Let y(t) = 54*t + 4. Calculate 4*b(q) - 5*y(q).\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*u**2 - 3*a**2 + 3*a*u - 4155*u**5 + 349*u - 1 wrt u.\nAnswer: -4*a**2 - 83100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1689397224 to the nearest integer?\nAnswer: 41102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -103500672, -207001345, -310502018, -414002691, -517503364?\n\"Answer: -103500673*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -253, -270, -311, -388, -513, -698, -955?\n\"Answer: -2*k**3 - 3*k - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h - 6. Let k be a(5). Suppose -5*x = 3*v - k, x + 6 = -v + 4*v. Solve -5*r - 31 = -4*y, -v = 3*r + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-65)\/39 + 4\/6. Let r(h) = -h**2 - h - 1. Let x(u) = 20*u**2 + 6*u + 6. Determine v*x(w) - 6*r(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -1 + -10 + (-84)\/(-7). What is the nearest to 0.8 in 1\/4, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjjabbjbbjbjjjjbyy. Give prob of picking 2 b.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/4 - c**3\/3 + c**2\/2 + 3*c - 11. Let a be f(0). Suppose -2*v - 29 = -a*v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/11)\/((-17037)\/(-11358)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526217237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from euyueen?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**5*l*l**7)**(24\/11) assuming l is positive.\nAnswer: l**(336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191911631?\nAnswer: 271, 708161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 3*j + 5. Calculate s(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 571 + 582 = 0. Calculate the smallest common multiple of j and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -228*f - 87. Let r(c) = 232*c + 87. Let l(d) = 4*m(d) + 3*r(d). What is the derivative of l(k) wrt k?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -13a?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*s - 24 = 0, -4*k + 14 = -2*k + 2*s. Suppose -6*m = -8 - 10. Differentiate m*a - 4*a + 2 + k*a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-20))\/(40 - (-3170)\/(-80)). What is the smallest value in -10, 8.5, p?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0748 - -0.9252. Is 553 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 3*n - 2. Let j be y(-5). Let p be j\/(-6)*(-804621)\/2. Suppose p = 2*s - 4463586. What is s rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*(sqrt(99) - 1*sqrt(99)*-2)*-2)\/(-2*(2*sqrt(324) - sqrt(324))*6))**2 + 0.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -378391 divided by -4\nAnswer: 378391\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18445*k**2 - 36791*k**2 + 18279*k**2.\nAnswer: -67*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 2*a**2 + 34. Let u be z(0). Let p = 36 - 31. Suppose -p*g = -690 + 180. What is the highest common factor of g and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 + -262. Let f = -87 - p. What is the greatest common divisor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/7 - 33*t\/7 + 36\/7.\nAnswer: -3*(t - 1)*(t + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.01 - 0.09. Let o = f + 1.11. Put 2\/15, -0.3, o in ascending order.\nAnswer: -0.3, o, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**4 + r - 2. Let x(b) = 124*b**4 - 5*b**2 - 2837*b + 8. Let y(d) = 4*a(d) + x(d). What is the second derivative of y(l) wrt l?\nAnswer: 1632*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*d + 1769*d = 41336 + 61461 + 1653 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*j + 12, 0 = -4*h + 4*j - 15 - 1. Let b(f) = 7*f**2 - 13*f - 30. What is the tens digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 126.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 735749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4185 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -1 - (475 + -482)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*i, 31*v - 30*v + 8 = 4*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 116\/5*c + 117\/5 - 1\/5*c**2 = 0.\nAnswer: -1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5303459 to the power of 1\/2, to the nearest integer?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2033031?\nAnswer: -2033020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 9*r**2 + 2*r - 5. Let h be w(9). Find the second derivative of -5*j**2 + 14*j + 4*j + h*j**2 - 8*j wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*t - t - 31, -5*t = 15. Let u = r - -8. What are the prime factors of (4\/(-3))\/(u\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = -252. Suppose -x + 18*x = -18*x - 16695. Let r = y - x. Calculate the greatest common factor of r and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.98 + -1.02. What is the fourth smallest value in p, 0.4, -10, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b, 4*b + 4 = -p + 8*b. Suppose -3*o + p*o = -o. Which is greater: -1\/261 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 7*o**2 + 9*o + 2. Suppose 0 = -16*c + 19*c + 24. Calculate u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 4 (c) -15 (d) 0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 + w. Let j be s(-1). Let v(i) be the first derivative of -i**4\/4 - 2*i**3\/3 - i**2\/2 - 10. Calculate v(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-14 + (13 - (-21 - -9)) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 436.579 - 2.179. Let o = -434 + k. Which is the smallest value? (a) o (b) 0.3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 - 7 = 0. Let m(y) = -24*y**2 - 2*y - 1. Determine m(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140\/7302607 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3003368.4 and -5.\nAnswer: 15016842","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-4\/3))))**40*(u\/((u\/u**(-29))\/u))**(5\/6))**(2\/61) assuming u is positive.\nAnswer: u**(-220\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 k, and 1 b when four letters picked without replacement from {b: 6, o: 3, m: 4, k: 2, s: 1}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.567912 centuries in years?\nAnswer: 756.7912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 5 + 2*z**2 + 2*z**4 + 3*z - 1 + 5 - 4*z**3 in the form r*z**3 + b*z**2 + d + j*z**4 + m*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45414*f*j*k**2 + 2*f*j + 18934*j*k**2 + k wrt f?\nAnswer: -45414*j*k**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3, 9\/127 in decreasing order.\nAnswer: 3, 9\/127, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**3\/3 - 5*t**2 - 5*t - 1. Let r be k(-10). Put 5, r, 2 in increasing order.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22470, -22212, -21952, -21690?\nAnswer: -21426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2635)\/(-310))\/((-2)\/4)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 0 + 0)*(-9793*s + 11954*s - 9987*s) to n*s + a + m*s**2 and give m.\nAnswer: 15652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2447 - -7?\nAnswer: -2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*(-4 + 1)\/(-6). Let r be (-18)\/(-12) - (-6)\/o. Suppose 24 = 4*k - 4*d, r = -k - 4*d - 18 - 1. What is the least common multiple of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1308.93675746 + 1335.73676. Let u = g - 26.8. Round u to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346980627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58465 less than -0.4?\nAnswer: -58465.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 141866.7cm?\nAnswer: 1418667000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwi when three letters picked without replacement from {x: 3, m: 1, e: 1, i: 3, r: 1, w: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1066 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18637, 18047, 17065, 15691?\n\"Answer: -196*q**2 - 2*q + 18835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/30)\/(20\/60).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46486 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 sequence hj when two letters picked without replacement from hhjhd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 - a**5)*(0 - 1 + 2) + 71*a - 2807*a**3 + 11*a**5 - 38*a + 2799*a**3.\nAnswer: 10*a**5 - 8*a**3 + 33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62302773 - -21?\nAnswer: -62302752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389907, -779815, -1169723?\nAnswer: -1559631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 2. Let u be o(-3). Suppose -2*j - 3*f - 5 = 0, -3*f - 2*f = 15. Let q be 5\/(-2) - u\/j. Put 3, -3, q in increasing order.\nAnswer: -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4*b**2 - 3*b. Let m be x(2). Factor 7 - 7 - 25 - 16*g - 7 - 2*g**m.\nAnswer: -2*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g + 11963 = -65*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:37 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j - 499. Let g(l) = 30*l + 998. Determine -6*g(d) - 13*t(d).\nAnswer: 2*d + 499","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x + 5*l - 32 = 57*x, 0 = -3*x + 5*l - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 7*w + 4. Let a be j(-4). Solve 2*l = -2*l + 5*n, a = 4*l + 4*n + 36 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/7 + 151846*v\/7 + 45274680\/7 = 0. Calculate v.\nAnswer: -297, 76220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b. Let p(u) be the first derivative of 4*u**3\/3 + 69*u**2\/2 - 1828. Determine c(p(w)).\nAnswer: 32*w**2 + 552*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*u - 49*u - 3168 = 0. Suppose -4*o - u = -2*s, -8*s + 6*s + 3*o + 352 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*s - 4*y, -s + 17 = -2*y - 33. Suppose p + 3*p - s = 0. Let a = 34 - p. Calculate the remainder when 53 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 446357*w + 1785326. Give n(-4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (-50 - -2) - 22.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/r**(-6))\/r))\/(r\/r**3))**(-23) assuming r is positive.\nAnswer: r**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 6.6, -1\/3 in decreasing order.\nAnswer: 6.6, -1\/3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -121093 (base 12) to base 6\nAnswer: -10132303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-3)\/(-9))\/((-1)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -8, -371?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548716*a*s**3 - 1690*a + 1074*s**2 wrt s?\nAnswer: -3292296*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + sqrt(2299)*1*5 + -2 + -6*(-2 + sqrt(2299) + -3*sqrt(2299)))*3)**2.\nAnswer: 35640*sqrt(19) + 6704784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let g = n + 2. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 1, -0.3, -11.4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.2 (c) 3 (d) -1\/4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:26 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**4 - 24*g**3 + 45*g**2 + 24*g - 48 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 + 2*k - 1. Let w = -22 - -19. Let z be b(w). Let x(n) = -6*n**z + 22*n**2 + n**3 + 2*n - 15*n**2 - n. Calculate x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-42) + 150\/14 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 - 21 = -51*m + 13*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065491574 to five decimal places.\nAnswer: 0.06549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -58*v**2 - v. Let k be l(1). Which is greater: k or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*t + 5*r, -5*t - 6055*r + 6058*r + 7 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -40*o. Let h be 4\/(-10) + 24\/(-40). Let d be q(h). Calculate the highest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 50*p = 20. Suppose p*n + 6 - 17 = 3*s, 3*n + 5*s = 27. What is the highest common factor of n and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 46*r**2 - 470*r + 114. Determine j(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 80 + 10 = 0. Let n be (13 + -1)*3\/12. Suppose -4*c - 68 = -5*k, -2*c - 58 = -4*k + n*c. Calculate the smallest common multiple of z and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405333 - 4?\nAnswer: -405341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {h: 11, r: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 0 in decreasing order.\nAnswer: 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -329906863.4 to the nearest ten thousand.\nAnswer: -329910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/4 smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) + sqrt(153) + 1))**2.\nAnswer: 300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**8)\/g*g\/(g**(2\/11)*g))**27*((g\/(g*g*g*g**(3\/5)*g*g))**38)**(-1) assuming g is positive.\nAnswer: g**(-1051\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001100 - 10110100000111101?\nAnswer: -10110101101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41060 = -44*s - 1240. What are the prime factors of s?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 35 = -83. Let h = -6 - n. Solve -2 = -f, -3*f + h = -z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -800361 from -0.08242.\nAnswer: 800360.91758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 - -216. Solve 4*g + a = -0*g + 17, -2*a - 6 = -w*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(2) + sqrt(475) + 3 - (sqrt(171) + (sqrt(171) - ((0 + sqrt(171))*-3 + sqrt(171))) - (4 + -1*sqrt(171)))**2.\nAnswer: -4288 + 127*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12758 - 10922. What is the least common multiple of 288 and k?\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*m**2 - 83380*m + 8403316 wrt m.\nAnswer: 14*m - 83380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156\/7249 + -28025\/14498. Let n be 1561\/2 + 2\/8. Let m = -768 + n. Find the common denominator of r and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -17000601.\nAnswer: 5100180.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/5*((-42)\/32)\/(-7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 2*c**2 - 8*c - 5. Let g be o(-3). Suppose -552114 - 8362 = -g*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 304 - 253 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49078 and 129?\nAnswer: 49207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 97 + 50 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viao when four letters picked without replacement from {a: 1, i: 2, o: 1, t: 1, v: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2507 + 2*m**2 + 2*m**3 + 25*m - 2508 + 56*m to g + q*m**2 + p*m**3 + s*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*(-1)\/18*-4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.019?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34160 - 0.5\nAnswer: 34159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o + 1. Let z be a(-1). Suppose 3*j - z = -2*j. Solve j*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from qpuqxpqxpqup.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgf when three letters picked without replacement from wfwqrgg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n + 42. Let t be i(-9). Suppose 2*j + 5*y + 3 = j, 2*j = 2*y - t. Is j\/(8\/((-104)\/3)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944556.\nAnswer: 2, 3, 78713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -226. Let z(d) = -271. Let f(y) = 6*h(y) - 5*z(y). Let b(c) = -28*c**2 + 42. What is -b(p) - 42*f(p)?\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.139, -2\/7, 5.71?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -23. Let y(s) = s**2 - 10*s + 4. Let p be y(k). What is the common denominator of (p - -6) + (-102)\/(-16) and -41\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1561*v + 3*v**3 - 242*v + 217*v.\nAnswer: 3*v**3 - 1586*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62\/3 - 64\/3. What is the nearest to c in -5, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -5\/149, 0.2, -0.4, 0.4, -2232?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.730194 - -0.154.\nAnswer: 8.884194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 - 11*n**2 + 0*n + 0*n**4 - 1\/60*n**5 + 0*n**3. Let p(w) = 2*w**2 - 4*w**2 + w**2. What is p(c(t))?\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 9*v**2 + 9*v + 7. Let b be r(8). Suppose 0*m - m + b = 0. What is the remainder when 58 - 3\/(1 + 2) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 3 + 3)*(2*c - 2*c + 3*c**3 + (-1 + 1 - 2*c**3)*(-4 + 2 - 4) + 0*c**3 + 0*c**3 - 2*c**3).\nAnswer: 65*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5823 rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((400\/(-2120))\/((-360)\/18))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 576358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 + 3 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*-1*-5)\/sqrt(12) + -2 + sqrt(136)\/(sqrt(8)*3) + sqrt(17) + 1*sqrt(17) + -1)**2.\nAnswer: -50*sqrt(17) + 10706\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -180213 divided by 6?\nAnswer: -60071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 336845 times -45\nAnswer: -15158025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -48. Let v(j) = -4*j**3 + 2*j**2 + j + 2. Let h be v(-2). Let b = h + -26. What is the lowest common multiple of b and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*f**2 - 3 - f**2 - 5*f + 5*f + (2*f - 3*f + 2*f)*(-f + 0*f - f) + 3 - 3 - 2*f**2 - 8 + 8 + 3*f**2)*(12 - 139 - 198 + 22 - 95).\nAnswer: 1592*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*w - 5*j + 80, -2*j = -3*w - 35. Let r = 90 + -68. Let v = r + w. Solve -g - 17 = 4*d, 0 = -2*d - 4*g + 5*g - v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/19 (b) -0.47 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -616*b + 9433. Calculate j(16).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*p - 10 + 67, 5*p = -j - 24. Let h = 1 - 5. Let u = h - j. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h. Suppose 4*l - 5*p - 20 = 0, 8*p = -4*l + 4*p + 20. Let s(u) = -29*u**2 + 5 + 36*u**2 - l. Calculate g(s(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 509463743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -11*w**3\/6 + 311*w**2 + 45*w + 1. What is the hundreds digit of h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + m = -0*t + 401, 10 = 2*m. Let o = t - -102. Solve 2*i = -i - o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-64) + (-94)\/16. Let b(r) = 3*r + 6. Let i(z) = -9*z - 17. Determine x*i(w) - 17*b(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + de59?\nAnswer: de5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 38516?\nAnswer: -38525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94994 = 25*l - 85256. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/88)\/((-16)\/44).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7*a - 52 = -d, -2*d + 152 = -4*a. What is the remainder when d is divided by 30\/(2\/1) - (9 + -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 22*f - 19871. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 40*w**2 - 13332*w - 22777. What is t(335)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*q - 5*b + 17, 4*q = -4*b + 16. Let m be (-2)\/6 + (-28)\/6. Suppose -j - 2*j = 9. Put j, q, m in descending order.\nAnswer: q, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63, 118, 209, 336, 499?\n\"Answer: 18*o**2 + o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 232431 (base 6) in base 11?\nAnswer: 14064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0570712272 to five decimal places.\nAnswer: -0.05707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 1, -25.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298106942 by -149053471.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6584 - -6722. Calculate the smallest common multiple of 2254 and a.\nAnswer: 6762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dogpekp. Give prob of sequence de.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 1355360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 5:57 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {k: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 6*x = -4*j + 5, 17 = 4*x + j. Let h(i) be the second derivative of -1\/20*i**5 + 0 + 3\/2*i**2 - 3\/4*i**4 + x*i - 7\/6*i**3. Calculate h(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 18*t + 77 = -6*g, 5*t = -2*g - 21 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-385)\/2 - (14\/4 + -3). Let j be (-4)\/(((-42)\/171)\/(-7)). Let b = j - p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*n + 128 = 0, 0*j + 3*n - 116 = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -37*r - 1392. What is the lowest common multiple of i(-76) and 220?\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 11\/16, -2\/19, -5\/2 in ascending order.\nAnswer: -5\/2, -2\/19, 0.1, 11\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -435.7 - 2.3. Let x = 438.000000366 + h. What is x rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213236 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*p + 1089 - 819 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0*p - p + (3 - 2 - 3)*(19*p - 35 + 35) + 0*p + 5*p - 4*p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -2*a**5\/15 + 9*a**2. Let f(k) = 2*k**2 - 5 + 5. Calculate h(f(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 7*j**2 + j - 7. Let q(y) = y**3 - 7*y**2 - 6*y - 9. Let k be q(8). Let d = k + 0. Let t be h(d). Solve 0 = 4*w - t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + 2465?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*u + 23. Let z = u - 19. Suppose 0 = 4*q + 4*h + 8, 4*h = 3*q + h. Put q, 4, z in increasing order.\nAnswer: z, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (3*sqrt(204)*4 - sqrt(204)) + sqrt(204))\/(sqrt(192)*-3)*6.\nAnswer: -13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108886 is divided by 493?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 726542722 by 934.\nAnswer: 777883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2330324 or -2330325?\nAnswer: -2330324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + -3 + 9 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 - 8*z**4 - 1391*z**2 - z + 306982 wrt z?\nAnswer: 20*z**3 - 96*z**2 - 2782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -138*l**3 - 2*l**2 + 6*l - 2. Let b(z) = -966*z**3 - 15*z**2 + 45*z - 15. Calculate 6*b(f) - 45*i(f).\nAnswer: 414*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 54260 (base 8) to base 2\nAnswer: 101100010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 224\/3. Let m = 0.02 + 1.98. Let h = 3.2 - 3. What is the third smallest value in v, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 17*u**2 + 18*u + 32. Give l(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.47, 4, 7684, -4?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1387)\/(-438) + 44\/33?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 + 950526*a\/5 - 950523\/5.\nAnswer: -3*(a - 316841)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*2*(0 + (3 + 3 + sqrt(17))*1 + 2)**2.\nAnswer: -815 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 6*v - 6*v)*(144 - 4 + 123 - 55).\nAnswer: 1248*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.7 in -4\/7, 1\/3, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14bbaf (base 16) to base 2.\nAnswer: 101001011101110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37402*h**2 + 1346474*h\/9 + 8\/9 = 0. Calculate h.\nAnswer: -4, -1\/168309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1585621*g**3 - g - 1567757.\nAnswer: -4756863*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 24, 30, 36, 42?\n\"Answer: 6*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c8199 (base 13) in base 12?\nAnswer: 114776b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 961, 1417, 1859, 2281?\nAnswer: 2677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183\/(-7) + 3\/1*11\/231.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106*115\/(-30)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(72))**2 + (sqrt(2) - -2*(sqrt(2) + 1) - sqrt(2) - sqrt(2))**2 + 4.\nAnswer: 4*sqrt(2) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.207 - 209.\nAnswer: -208.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + r + 143064 = 143056, 2*r = -3*v + 49 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from jjjtjjtj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmototv. Give prob of sequence mo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -1614646.\nAnswer: 1614632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20212 (base 3) to base 16.\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k - 658 = -16*j + 442, 3*k - 4*j + 152 = 20 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*r - t + 36, 2*t - 28 = -2*r. Solve -3*b + r = -0*b + 2*j, 3*b = -3*j + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 438 + -426. Suppose -5*g + 6*g = 0. Put -4, g, 2, f in increasing order.\nAnswer: -4, g, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:36 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 1.5. Let t be 1 + -1*(-3 + 4). Let m = t - 3. Which is the third biggest value? (a) k (b) -3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6774, 6760, 6746, 6732?\n\"Answer: -14*o + 6788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251676*p = -252573*p - 36777 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2099300 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9009 or 9008?\nAnswer: 9008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 6:56 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = -2*w, -3*z + 6 - 16 = -5*w. Let o be (-1)\/(-3)*3 - (z - -4). Suppose -151 = -o*v - 0*h + h, -4*v = -3*h - 307. What are the prime factors of v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 95. Let b = 173 + a. Let b - 36*u**2 - 60*u + 3 - 4*u**3 - 5 = 0. Calculate u.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008904584 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14 = -26. Let m(z) = 37*z + 3. Let v be m(1). What is the greatest common divisor of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 40*z - 32. What is the smallest common multiple of i(32) and 280?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -874 + 83*o + 290 + 298 + 290. Let w(u) = 2*u**2. Give v(w(m)).\nAnswer: 166*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316887.\nAnswer: 3, 53, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257.6 + 230. Let p = 27.437 + f. Round p to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5244, 20690, 46360, 82254, 128372?\nAnswer: 184714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(34*35\/26180)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1754*k**2 + 1168163*k + 673. Determine d(666).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 3, 337, 0, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129445714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000527233696 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(-23)\/(8740\/(-30)). Let -4\/19*n - w*n**2 + 16\/19 = 0. What is n?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 444 - 237. Suppose f*r = 206*r. Let t(a) be the first derivative of a**4\/4 - a**2\/2 - 5*a - 1. Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25023 < -25012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from lndssssseessklessds.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 597926*k. Let n(v) = 13*v**2. What is n(x(c))?\nAnswer: 4647701519188*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.4 + -13.4. Let m = 0.1 + 0.1. Which is the nearest to w? (a) -2 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s = -2*t + 36, t = 4*s - 37. Suppose c - 2*c = -s. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + 1 - (5 + (-7 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/24 - i**5\/15 - i**4\/6 - 5*i**3\/6 + 6*i**2. Let n(b) = -b**3 - b**2 - b - 1. Give 4*n(s) - q(s).\nAnswer: s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 6*a - 60 = 0, 139*a - 80 = 2*o + 3*o + 144*a for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 38*w**2 - 54*w**3 + 2*w + 51*w**3.\nAnswer: -3*w**3 + 38*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, x: 3, k: 5, y: 3, s: 1}. Give prob of picking 1 y, 1 k, and 1 s.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110\/15*3\/2. Suppose b = f + 5. Suppose -g + 12 = d + d, 12 = d - g. Calculate the least common multiple of b and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s - 7 + s**2 + s**2 - 134*s + s**2 - 18*s.\nAnswer: 3*s**2 - 112*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20930664 and 646734.\nAnswer: 230237304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -260 (b) 12 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*t + 214 = 4*t, -3*x + 5*t = -347. Let o = x - 105. Suppose 5*q = -5*y, q = -4*y - 10 - 2. Solve -q*i - 18 = -5*g, -o*g = -g - 3*i - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-4)\/(8*-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(6\/25)\/(f**(1\/4))**(4\/5))\/((f**1)**(2\/81))**(-1\/71) assuming f is positive.\nAnswer: f**(-11452\/143775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-26)\/(-42). Let d be (-26)\/(-35) - (-10)\/(-70). Sort d, 3, n in descending order.\nAnswer: 3, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4803981631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v, 0*v + 14 = -5*m + 2*v. Calculate the common denominator of 148\/(-70)*(-10)\/8 and m\/(-14) + 729\/168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57.5 - 46. Let c = -2.6 + x. Round c to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 3*d + 4. Let t be c(-4). Suppose t*f = 3*f + 155. Let y = f + -11. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 135671.\nAnswer: 135666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3068978245 to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 6, h: 4}. What is prob of sequence ah?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*p + 141, -6*h + 4*p = -4*h - 34. Let b = 39 - h. What is the remainder when ((-8)\/4 + 12)*4 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 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: Four letters picked without replacement from aazgzgmmm. What is prob of picking 1 g, 2 z, and 1 a?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 24. Let k be (-428)\/16 + (-2)\/8. Let b = k + 34. What is the third biggest value in n, 2\/7, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1421 (b) 0.12 (c) -76\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292 + 288. Let g(k) = -15*k**3 - 7*k**2 + 7*k + 7. Let s(l) = -7*l**3 - 4*l**2 + 4*l + 4. What is d*g(j) + 7*s(j)?\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 28 = -53. Let y(v) = v. Let s(c) = -21*c + 263. Let z(i) = d*y(i) - s(i). What is the first derivative of z(b) wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**4 + 0*n**2 + (-2 + 2 + n)*(-11*n + 11*n - 8*n**3))*(-20*n + 67*n + 424*n).\nAnswer: -3297*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 2. Let j(u) = 3*u + 6. Let x = 6 - 10. Let a(h) = x*j(h) + 14*m(h). Let v be a(-3). Let s(y) = y**2 + 2*y - 1. What is s(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 93211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -23*r**3 + 373*r**2 - 62*r - 14. Determine f(16).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24241700 (base 9) to base 6.\nAnswer: 1101414300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-27))\/((-15)\/18*(-16)\/40)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let d(j) = -8*j**2 + 134. Give d(z(r)).\nAnswer: -8*r**2 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0463 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 106422*s - 4576267. Determine f(43).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*i**5 + 44*i**5 - 91*i**5)*(2 - 1 - 3).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -179 (c) 0.8 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 17*m**2 - m - 136. Let n(g) = -47*g**2 + 2*g + 407. Let c(x) = -11*h(x) - 4*n(x). What is c(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 d, and 1 g when four letters picked without replacement from vvfqgfds.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612.256 rounded to the nearest ten?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**5\/20 + 2*i**4\/3 - 5*i**3\/3 - 3*i**2 - 2*i. Let g be n(-9). Put 5, -1, g in descending order.\nAnswer: 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 288 = k. Let b = -7681\/80 + k. Let n = b - 19\/80. What is the common denominator of 57\/5 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2645*i - 60107 = 66264 - 4701 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 23 = 5*o, -4*j = -4*o - j - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7929 and 576.\nAnswer: 507456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + 2*j**2 - 1. Let d be c(-1). Let w = 22\/5 + -106\/15. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 10*m - 33. Let d(k) = 3*k**2 - 10*k - 32. Let c(p) = -5*d(p) + 4*j(p). Let u be c(-8). Suppose 0 = u*f - 11*f - 5. Solve -q + 0 = -f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543*y**2 - 836*y.\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4 + 4 + (-1 - 3 + 3)*(t - 4*t + t) + 0 + 2*t + 0 + (83 - 39*t - 83)*(0 - 3 + 2))*(-2*t + 4*t - 4*t).\nAnswer: -88*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578790801*w**2 - 3*w + 2 - 578790801*w**2 + 3*w - 3*w**3.\nAnswer: -3*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -676604 + 11063.3?\nAnswer: -665540.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.18 (b) 4 (c) -3 (d) 2 (e) -67.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxebmdxmexdd. What is prob of sequence bmex?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from {v: 3, x: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 8*j**2 + 7*j + 5. Let m be w(7). Let b = m - 0. Let f = b + 30. What is the greatest common factor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**4\/24 + 7*u**3\/3 - 3*u**2. Let k be i(7). Let f(t) = k + 0*t - 4*t + 3*t. What is f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**0)**(3\/41)\/(a**(-2\/7))**(19\/2))**0)**23 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.22271 from -0.047828.\nAnswer: -0.270538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.4. Let n = 0.3 + s. Let p = -141\/13 - -11. Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12056, 24107, 36158, 48209, 60260, 72311?\n\"Answer: 12051*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - q = -231, 2 = -q - 3. Let d = n + 27. Let w = d + 49. Is 17 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6804265 divided by 1360853?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 34\/4*313392\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*y = 18*y - 396 - 28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1.235 (c) -2.2 (d) -2\/13 (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2439348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.42 and -0.025?\nAnswer: 0.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -898 and -144672 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 11:18 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3883 + -3883.2. Which is the closest to 6\/11? (a) 1\/11 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + t**2 + t. Let a = 15 + -12. Let w(m) = -5*m**3 - 4*m**2 - 4*m + 1. Let p(k) = a*w(k) + 12*l(k). Find the first derivative of p(v) wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*v - 8, 2*v = -4*g - 3 + 5. Let f be (-1)\/(1 - 8\/14)*v. Solve 0 = -10*w + 3*w - f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.6 minus 573?\nAnswer: -623.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1018246, -2036492, -3054738, -4072984, -5091230?\nAnswer: -6109476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -582, 53, 3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (91 + -4)) + 7.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/2)\/(1\/18). Let q = n - -394. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30710 and 9961826.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -624 (b) -3 (c) 4 (d) -0.03 (e) -5 (f) 0 (g) 4\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 - 4345*n**3 + 8705*n**2 - 4355*n = 0. Calculate n.\nAnswer: -871, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5862551295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82762 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -49. Suppose -u + 2*p = u - 14, -5*u + m = 5*p. Suppose -d - 27 = -33. What is the remainder when d is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25517 is divided by 25435.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let t(x) = -135861*x. Determine h(t(j)).\nAnswer: 271722*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2556227 to 4 dps.\nAnswer: -0.2556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 - 15 - (-1 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-5)\/(-2324)) - 105\/(-15). Calculate the greatest common divisor of 63 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 8.53 (c) 0.3 (d) -4 (e) 129\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 12, 3*b = 4*r + 5*b - 66. What is the remainder when 86 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 11*o + 8. Suppose -i + 4*v + 20 = -0*i, 0 = -3*i - o*v + 4. Calculate the smallest common multiple of 5 and i\/3*3\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**4 - c**3 + c**2 - c + 1. Let w(y) = -13*y**4 - 3*y**3 + 3*y**2 - 3*y + 10. Let b(j) = 3*i(j) - w(j). Differentiate b(r) with respect to r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -2\/9, 4, -9.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from llyyvydwwvlwylqyyy.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*x + 6654 - 2846 + 6612 = 20 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.6 - -5.7. Let t = -0.01 - -5.01. Which is the closest to q? (a) 2\/3 (b) -2\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8036 or -8031?\nAnswer: -8036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 2, 1, -3, -125, 109.\nAnswer: -125, -3, 1, 2, 60, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 10:51 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-8 + 36 - 33).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*460289.\nAnswer: 184115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Let i(o) = 7*o - 26. Let r be i(4). Solve y*u - 4 = r*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and ((-15)\/1)\/((-45)\/105 - 30\/175).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*l + 580*l**3 + 281*l + 278*l + 1905*l**3.\nAnswer: 2485*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 3*t**2 - t - t + 14*t**2 to q*t + f*t**2 + v and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44544 and 395264.\nAnswer: 34387968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-7)\/s)\/s**(-2\/19))\/((((s\/(((s**(-4)\/s)\/s)\/s))\/s)\/s)\/(s*s*s**(-6\/13))))**(-5) assuming s is positive.\nAnswer: s**(15260\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(-1\/78)*(s*s\/(s**(-3)\/s))**(-40))**32 assuming s is positive.\nAnswer: s**(-299552\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 18*y - 22. Calculate q(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from ivliviviiviiliil?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -143 + 21 + 19 - -38.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*g + 68, -26*g = z - 24*g - 35. What is the highest common factor of 66 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5))**(-1\/4)*(m*m**(-3\/25))\/((m**(-6\/11)\/m)\/m) assuming m is positive.\nAnswer: m**(5143\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13526*q - 13413*q - 1808 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 - 25*t**2 - 21*t - 12. Let m be u(-9). Let n = m + -63. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**2 - 7*d - d**2 + 7*d**2 - 4 + d. What is n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -997*z**2 - 2006 wrt z?\nAnswer: -1994*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/10)\/(135\/(-900)). What is the fourth smallest value in 0.1, -3\/2, 6\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(6\/2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 7*u**2 + 7*u + 51. Calculate s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + 19. Let g = 190 - i. Suppose 4*a - g = -7. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280672.\nAnswer: 2, 31, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:05 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h + 5. Give l(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*u = 56, -4*d + u - 216 = 1. Let j = 80 + d. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 341 + -593. Let z = f + 349. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -336 and -357 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-6)\/10)\/3). Let d(g) = -2*g + 5. Let f be d(4). Put f, 2, s in decreasing order.\nAnswer: 2, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus -995?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16330\/1150 + 4\/5 + -12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + 1a2a624?\nAnswer: 1a2a63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-10)*(1715\/(-10) - 6). What is the units digit of -2*(-3 + y\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -98. Suppose 5*z + 6 + 4 = 5*d, -z - q = -4*d. Solve 0 = -4*v + 5*v - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1000 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*l + 16 = 0, -u - l = u - 68. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 - (-2 - -3) - (-36 - -31)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0.1, 6\/7 in descending order.\nAnswer: 2, 6\/7, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 534619133 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145687.636 + 0.0552.\nAnswer: -145687.5808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*k**3*r**2*t - 14*k**3*r*t**3 - 2*k**2*r**2 - 215552*k*r**2*t**2 + 2*k*r**2 + 792*k*t wrt t?\nAnswer: -84*k**3*r*t - 431104*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4006.2 + 4006. Which is the nearest to 1? (a) 0.4 (b) -4\/11 (c) 0.07 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*q + 4242137 = -173002895. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6877\/(-2093) - 2\/(-2)*3. Let o = 3 - 1. Let x = -2 + o. Which is the nearest to q? (a) -1 (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255550688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(45)\/(sqrt(324)*-5) - (-2 + sqrt(605) + -2))*5*-2.\nAnswer: -45 + 331*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067244022 to the power of 1\/2, to the nearest integer?\nAnswer: 45467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = 2*b. Is 41 - 0 - b\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*h - 28 = j, -2*h + 4 = j. Solve -1 = j*u - 11*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-815 - 2862 + 521)*(-1 + 0 + 2)*(m**3 + 0 + 0) to i*m**2 + t*m**3 + g*m + b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4)*104\/(-12). Let z(f) = 3*f - 2. Let l be z(-5). Let b = l - x. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 708?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47611\/2058 - -11\/343. Let s = 183\/5 + -36. Let p = s + -43\/55. What is the common denominator of w and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/21))\/c)**(-5\/8)*(c*(c*c**(-6\/17))\/c)\/(c\/(c**12\/c)) assuming c is positive.\nAnswer: c**(15289\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -4*z - x, -3*x - 6 = -3. Suppose -4*f + z = -f. What is the greatest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 46*x**2 + 11*x - 11. Let k be q(1). Differentiate -457 - 126*s**2 + k*s**2 + 492 with respect to s.\nAnswer: -160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 696 - 1040. Let w be r\/(-120) - 1*3. Which is the second smallest value? (a) -4 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1036, 2035, 3034, 4033, 5032?\n\"Answer: 999*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2)*v)\/v**(-4)*(v\/(v**(-1\/3)\/v*v))\/((v\/v**(-3\/2))\/v*v*v) assuming v is positive.\nAnswer: v**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2496) - sqrt(2496) - sqrt(2496))*-1 + sqrt(2496) - sqrt(2496))\/(sqrt(192)\/sqrt(4) + -1*sqrt(300)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2933*b + 18 = -2999*b + 216. Solve 0*p = -2*p - 4*u + 14, -4*p - 3*u = -b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + y + 23*y**3 - 6*y - 20*y**3 + 2*y as d + r*y**2 + z*y**3 + j*y and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*m - 15*m - 6304 = -271*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 147774525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2110002*f**2 + 7567326*f wrt f?\nAnswer: 4220004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x - 5. Let r(b) = 2*b + 33. Let n be r(-10). Does 5 divide a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from zzujooojozdodz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ozzzzozzozzzozzzozz?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + 3*b, 5 = -v + 3*b + 11. Let x be ((-12)\/(-6))\/(v\/15). Solve -5*y - 2*l = 33, -5*y + x*l = -2*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 5 - 4) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = 61*d + 601 + 208 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -13*z**3 + 31*z**3 - 7*z**2 + 26*z**3 - 12 + 52*z**3. Let s be u(-6). What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*f + 340, 3*y + f + 212 = 6*f. Let d = 58 + y. Calculate the common denominator of 106\/28*d\/(-9) and -31\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d*r**3 - 173612*d*r**2 + 2*d*r + 29*d - 52289*r wrt r?\nAnswer: -30*d*r - 347224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 3. Let t = 37 + -34. Let z = -3 + 3.1. Put z, t, w in decreasing order.\nAnswer: t, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-8)\/64*6*-68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2844*n + 1555*n + 277137 = 0 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/11, 1, 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*w + 118275 = -1627*w - 4300*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**3 + 24*r**2 - 2*r - 9. Let b(d) = -5*d**3 - 25*d**2 + 2*d + 10. Let j(s) = 3*b(s) + 4*t(s). Is 12 a factor of j(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 + 8 - 26 + 8 + 13 to the form u*x + c + s*x**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let d(t) = 94232*t**2. Give f(d(l)).\nAnswer: 188464*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44.5 from 34265296.6.\nAnswer: 34265252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 4, 59, 152, 283?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/7)*(m*m*m*(m**(-2\/11)*m*m)\/m)\/m*(m*m**(1\/8))\/((m\/m**(1\/18))\/m) assuming m is positive.\nAnswer: m**(25337\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -16, -g - 33*y - 15 = -38*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwzrzwwlnon. Give prob of picking 1 o, 1 l, and 1 z.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97774.04 litres to millilitres.\nAnswer: 97774040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 420013200402 + -2?\nAnswer: 420013200400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1462446 (base 8) in base 2?\nAnswer: -1100110010100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.268621 millimeters in kilometers?\nAnswer: 0.000001268621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363857 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48978400?\nAnswer: 2, 5, 61223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660.2373 months to years.\nAnswer: 55.019775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 222001211?\nAnswer: 222001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/14*26\/52. Let x = 10 + -15. What is the closest to 1\/7 in d, -0.1, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (88\/14 - 1) + (-14)\/49. Let y(x) = 39*x - 15. What is the tens digit of y(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*z + 657 = 50*z - 64*z - 25*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 3.2 (c) -23 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4285747 to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weaum. Give prob of sequence ew.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + sqrt(68)*1) - sqrt(68))\/sqrt(4) - (sqrt(272) + -2))*-6.\nAnswer: -12 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2587440, -2587467, -2587494, -2587521, -2587548?\nAnswer: -2587575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -m - 3*t - 8, -2*t - 6 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -191\/264, -2\/9, 0.07 in descending order.\nAnswer: 25, 0.07, -2\/9, -191\/264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -29*t**2. Let w(b) = -9*b + 14. Suppose 3*o + 5*u + 39 = 0, 8 = 3*o - u + 47. Let i be w(o). Let c(f) = -i + f + 131. Give m(c(j)).\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/650 and 1\/390.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:32 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8*7\/392*(2561311 + (1 - -9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3134\nAnswer: 12536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1502695 or 1502693?\nAnswer: 1502695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 - m + 8 + m**2 - 7 + 9 to j*m + i*m**4 + z*m**3 + h*m**2 + x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 62*c + 21. Let w(b) = -3. Let n(m) = -3*t(m) - 24*w(m). Does 13 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976 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: Simplify (s**(2\/9)\/(s\/s**1))\/(s*s**(-7\/5)*(s\/s**(1\/4))\/s)*((s**(-2))**(5\/7))**(1\/59) assuming s is positive.\nAnswer: s**(63041\/74340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36649\/72 - 509. Is 1 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*c = 5*s + 7*s - 14*s - 308*c + 4, -5*c = 4*s - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 15. What is the remainder when 45 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(1\/23)*(a\/a**(2\/7)*a)\/(a*a\/(a**7*a)) assuming a is positive.\nAnswer: a**(2477\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -990 - -985.71. Let w = i - -4.6. Let x = -0.45 + w. What is x rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1.5796473 hours?\nAnswer: 0.0094026625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (120\/(8 - 4))\/2. Let i(k) = -2*k + 48. What is the remainder when 71 is divided by i(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 + 2*m. Let v(y) = 9*y**2 + 2*y. Let g(c) = c. Let s(z) = 6*g(z) - v(z). Suppose -q = 2*p - 14 - 4, 3*p - 3*q = 9. Determine p*k(d) - 3*s(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/6*(0 + -6). Let r = p + 30. Is 3 a factor of 65\/r + (-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + b - 3*r - 145, -b - 3*r + 11 = 0. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**5\/5 - 4*h**4\/3 + 37*h**3\/9 + 7*h**2\/3 + 919. Determine k, given that i(k) = 0.\nAnswer: -7, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 j, and 1 v when four letters picked without replacement from jjxovoorrrroj?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 2. Let l(a) = -5*a**2 - 11*a + 138. Let s(b) = 6*c(b) - l(b). Factor s(q).\nAnswer: 5*(q - 5)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224752 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 32*y + 107. Let g be t(-35). Solve -7 = -5*v - g*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 - -1.97. Let i = b + -1.943. What is i rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -147, 0 in descending order.\nAnswer: 0, -3, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 13, -2, 4, -4, -7 in increasing order.\nAnswer: -123, -7, -4, -2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 - 3*d**4 + 4*d**3 + (-3*d + 3*d - 3*d)*(1 - 1 + d**3) - d + 2*d**4 + d - 2*d**4 - 3*d**4 + 0*d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*j, -5*j + 10 = 1490*t - 1495*t. Let s(l) = -4. Let n(i) = -i + 8. Determine t*n(m) - 5*s(m).\nAnswer: 3*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 + -4. Let f be (-4)\/10 - 2693\/30. Let s = f + 90. Which is the closest to -1? (a) k (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15*y + 15*y - 19 + 43. Is 27 a factor of c(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-24))\/(4\/(-176)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414438541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + sqrt(1584) + 1*sqrt(1584) - (sqrt(33)\/sqrt(3) + -5 + 1)))**2.\nAnswer: 414*sqrt(11) + 5900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64\/5 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2180\/(-11772))\/((-2)\/9)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {q: 15, v: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-3)*6\/52)\/((-13)\/169).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -10, 4*j - 40 = -j + 5*u. Let a(s) = -s**3 + 7*s**2 - 8*s + 7. Let i be a(j). Suppose 210 - 202 = 4*d. Put d, i, 3 in ascending order.\nAnswer: i, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -275*v + 10972. Determine i(40).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7744)\/1152)\/(10\/(-3)) - 2. Let j(i) be the second derivative of 0*i**2 + 23*i + 7\/30*i**3 - t*i**4 + 0. Factor j(w).\nAnswer: -w*(w - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 27 + 8 + 320*f to the form t*f + x and give t.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -54.\nAnswer: -54, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 11:23 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 670 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 48*a**3 - a**2. Let g be h(-1). Let u = 46 + g. Which is greater: u or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3)*-6) - (sqrt(72)*1)\/sqrt(6))\/((3*sqrt(384) + sqrt(384))*-2))**2.\nAnswer: -4071\/2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.26 - -0.36. Let l = a - -12.9. Let v = l - 9.974. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 27 + 63)*(1 - 2*l**4 - 1).\nAnswer: -222*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51444497101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -280 - -1121\/4. Let p(n) be the first derivative of -1\/4*n - 1 + 7\/12*n**3 - 1\/4*n**4 - l*n**2. Let p(g) = 0. What is g?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 1324068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3211331010 (base 4) in base 2?\nAnswer: -11100101111101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13297698 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1745431 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 + 232*s**3 + s**2 + 23*s - 24.\nAnswer: -36*s**2 + 1392*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and (-452)\/(-3164) - 11\/(-7)*103?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 0*d - 3*d)*(3*d - 4*d + 3*d) + (5*d - 3*d**2 - 5*d)*(-3 + 4 + 1).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125\/12 + -35\/12. What is the nearest to 0.1 in 1\/2, x, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-11) + 140\/(-44) + 369. Let v = t + -217. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1531, -3218, -4917, -6634, -8375, -10146, -11953, -13802?\nAnswer: -15699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 0, -6, 0.1, -722 in ascending order.\nAnswer: -722, -6, 0, 0.1, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a gram in milligrams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = k + 2*v - 108, 651 - 1376 = -2*k - 5*v - 619 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, y: 2}. Give prob of picking 1 y and 3 m.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -7*f**6\/120 + f**3\/6 - 40*f**2. What is c(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -b - 1, -80*b + 46 + 19 = 31*v - 79*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50432348 and 20380?\nAnswer: 4076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 78\/9*(-2 - -5)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(-6*sqrt(150)))\/((1*2*sqrt(84))\/sqrt(7))*6.\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 248 + 58 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13760 is divided by 3434?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4586 - 4577. Calculate the remainder when 56 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*2.1\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 586107 by -3.\nAnswer: -195369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - (-8 + 3)) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82949*z = -5*i - 82948*z + 20, -4*i + z + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -620*d + 13. Let a be v(-17). Let l = 4146 + a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -4 + -1 + 5 - (82 - 82)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by -47?\nAnswer: 80\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8 + ((-6)\/(-11))\/(12 - (-1560)\/(-132))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 214*h + 4. Let g(r) = 69*r + 1. What is 7*g(m) - 2*v(m)?\nAnswer: 55*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 22*g + 10. Let n(p) = -30*p - 14. Let f(h) = 7*d(h) + 5*n(h). Let o(c) = -9*c**2 + 3*c. Give o(f(u)).\nAnswer: -144*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6032.824 days to minutes.\nAnswer: 8687266.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(0*f + 0*f - 2*f)*(2*f + 0*f - 134 - f) as h*f**2 + k*f + m and give k.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 358 - 508. Let b = a - -153.6. Let f = 4.6 - b. What is the closest to -0.1 in -1\/9, f, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*g - 26 - 5 = 0, b = 4*g - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 182 and 0.182.\nAnswer: 33.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a hour in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8699215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44820187 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -359425*d**5 + 16*d**2 + 1000*d?\nAnswer: -21565500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/262 and 97\/14.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 31 = -7*p + 6*i, -2*i - 50 = p + 7*i - 7 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 0.6, -4, 4, -0.4, -20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**7\/1050 + 11*p**6\/1200 - 7*p**5\/200 + p**4\/15 - p**3\/15 - p**2 + 19. Find c, given that j(c) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-1 + 12\/4)*2. Solve -30 = -4*b - 5*q, 2*b = -3*q + x*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*d, 2*v = -2*d + 3*d - 5. Let p = v + 4. Suppose 0 = -3*n + o + 61 - 1, p = o + 3. Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 293, 314, 357, 428, 533, 678, 869?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k**3 + 4*k**2. Let b = -6 - -10. Let r(t) = 21*t**3 + 7*t**2. Let l = -33975 + 33968. Determine b*r(p) + l*y(p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 2475*g + 2475*g. Let p(r) = -r**2 - 38. Determine f(p(b)).\nAnswer: -b**4 - 76*b**2 - 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1965 + 436\/655. Which is bigger: -150 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 13\/40*k**5 + 7\/24*k**3 + 0*k + 23 + 3\/8*k**2 + 1\/16*k**6 - 29\/32*k**4. Determine z so that l(z) = 0.\nAnswer: -6, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -36. Suppose 5*u + 3*y = -x*y + 60, -y = 5. What is the remainder when 132 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - -2089. Let p = 26896 + b. What is p rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -41. Suppose 2*o = 4*a + 30 - 0, -2*o - 3*a = -65. Let g = o - 11. What is the lowest common multiple of g and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39031799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -972441.617 to the nearest ten thousand.\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12825 and 133137.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511867?\nAnswer: 511867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -220*x - 6378. Let o be r(-29). Solve 23 = -o*s + 5*u, 3*u + 7 = -81*s + 77*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.132163 smaller than -10.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17099 is divided by 8511?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 158*x + 3457392 = 0. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*h, -24 = -3*f - h + 4*h. Suppose f*j - 3*j = 5. Solve -3*t = -2*n - 8, -5*t + j*n = -6*t + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5295 or 5296?\nAnswer: 5296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 151392168 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 less than or equal to 646\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 274. Is v*(-9 - -8)\/((-2)\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 242661*g**4 - 885489 wrt g.\nAnswer: 970644*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**2 - 167385*a - 948804.\nAnswer: 3*(a - 18604)*(3*a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:15 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 18*n**2 - 17*n + 12. Let x be q(17). Let f be x\/18*1\/3. Which is the second smallest value? (a) -4 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -4*j + 0 + 0*j**3 + 0*j**4 - 1\/15*j**6 + 3\/2*j**2 + 0*j**5. Find the first derivative of c(a) wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i - z = -28*i + 253, -15 = 3*z. Suppose 4*o - 9 - 7 = 0. What is the greatest common divisor of i and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2 + 13. Let k be (-20)\/(-4) + v*2\/3. What is the hundreds digit of -1*k\/((-35)\/1395)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11151435 (base 6) to base 8.\nAnswer: 1232357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/5 - 10 - -268. What is the highest common divisor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*c*r**3 - 1064*c - 8*r**2 wrt r?\nAnswer: -48*c*r**2 - 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-220)\/24))\/((-2)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 - 4*z**2 - z + 11. Let d be c(7). Let y = -820 + d. Suppose -388 = -4*h + y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a*d**5 + 140*a*d**3 + 2*a*d - 1628*d wrt d?\nAnswer: -140*a*d**3 + 840*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 244*h**2 + 3*h + 44. Let k(t) = -t**2 + t + 14. Give -3*k(v) + m(v).\nAnswer: 247*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436253062.\nAnswer: 2, 7, 173, 281, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 49*s**2 + 17*s**2 + 0 to the form m*s**2 + j*s + v and give m.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11485*j + 209. What is the ten thousands digit of u(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 less than 0.2?\nAnswer: -1430.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(192)*2 + 4 + sqrt(192) + 3)*1 + (-5 + sqrt(192) + 1 - (-1 + -3*sqrt(192)))))**2.\nAnswer: 7168*sqrt(3) + 150784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2. Let m = -4 - -7. Let r(a) = -a + 2*a - m*a + a. Calculate r(w(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**6\/180 + g**5\/60 - g**4\/6 + g**3\/2 + g. Let y(c) be the second derivative of n(c). Find b such that y(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6638 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u - 84*u - 416 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 255 + 1?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233019253 to the power of 1\/3, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2354 - -2354.3. Which is the third biggest value? (a) 0.027 (b) -3 (c) u (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 3\/2*i**2 - 1\/20*i**5 + 0 + 1\/2*i**3 - i + 0*i**4. Let y = 47 - 49. Give m(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 341513 - -5?\nAnswer: 341521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590698.6 weeks to hours.\nAnswer: 99237364.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*h + 38, 3*h - 22 = -z - h. Suppose -9*v + z = 37. Let g be (10\/v)\/(3 + (-130)\/45). Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3634*q**2 + 8*q - 8. Determine u(-1).\nAnswer: 3618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 + -0.23. Which is the closest to -4? (a) p (b) -2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-237)\/474)\/((-5)\/260)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1451, -1435, -1395, -1319, -1195, -1011?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23602124*-0.1\nAnswer: -2360212.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 10)\/(2\/2). Suppose 0 = -v*o + 2*o + 15. Let s = o - 11. Let f(q) = -q**2 + 2*q + 1. Let h(m) = -5*m**2 + 9*m + 5. Determine s*h(z) - 18*f(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 540919*f**3*k - 2*f**2*k - 449*f**2 wrt f.\nAnswer: 3245514*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = 46*y + 4*y + 5*u - 197, 0 = 3*y - 3*u - 33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*l - 522 = 0, 24*y - 4*l = 21*y + 395. Calculate the remainder when y is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**7\/1260 - r**6\/360 + r**5\/30 + r**4\/12 - 2*r. Let x(o) be the third derivative of b(o). Factor x(n).\nAnswer: -2*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 763 = 4*s + 758, 5*s - 2 = 3*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(66)\/sqrt(3))\/(sqrt(66)\/(sqrt(6) + sqrt(30)\/sqrt(5))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1405095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-70)\/8))\/(1\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 18\/(-10))*(1 + 2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17342.\nAnswer: 2, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, 14, 3\/4 in decreasing order.\nAnswer: 14, 3\/4, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v - 2*v. Suppose -d = -3*d + 10. Find the third derivative of -d*g**2 + 2*g**4 + v*g**2 + 4*g**2 wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7658824ng?\nAnswer: 0.0000000000007658824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10.193, 5, 0.2.\nAnswer: -2, 0.2, 5, 10.193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1306620 and -3.\nAnswer: -3919860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -114602311075.58\nAnswer: 114602311077.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3956*k - 3957*k - 26, -8*k + 4*x = -92 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 8:22 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c**4*h**3 - 10*c**4*h - 2*c**2 - 302*h**3 wrt c?\nAnswer: 240*c*h**3 - 240*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/350*(-15)\/(-42)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -8 - 8 - (-1 + -3 + (-27 - -30))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, -8, 0, -26537\/10 in ascending order.\nAnswer: -26537\/10, -8, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 86586, 173167, 259748, 346329, 432910?\n\"Answer: 86581*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1736\nAnswer: -3\/1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 537*l + 3036. What is k(-6)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + sqrt(17)*-4 + sqrt(17) - (sqrt(153) - 6*(2 + sqrt(153))).\nAnswer: 22 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvswth. Give prob of sequence sh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -7*p**5\/15 - p**4\/12 - p**3\/6 - 4*p**2. Let j be w(-1). Let u = 20 + j. Is -5 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a gram in milligrams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 5*s**2 - 33765 - 2*s**2 + 33759. Let p(m) = -6*m**2 + 5*m - 5. Give -5*o(c) + 6*p(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*v**2 - 7*v + 3?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/105 - (-12)\/(-18))\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(94\/88 - -15*(-4)\/48).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/6 + (-1)\/3. Let i(s) = s**3 + 5*s**2 + 4*s + 3. Let g be i(-4). Suppose -5*t = -5*p, b*t - t = -g*p. Solve n + 4*a - 3 = t, -3*a + 0 + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153043 (base 8) in base 12?\nAnswer: 27883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**2 - 5*z - 5. Let b(d) = -3*d**2 - 2*d - 3. Let o(a) = 7*b(a) - 4*l(a). Let c be o(5). Sort -2\/3, c, 5 in ascending order.\nAnswer: -2\/3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = -0*k + 3*g, 3*k - 3*g + 12 = 0. Let n be 0\/(8\/k + 0). Suppose n*d = d - 6. Let i(t) = t**2 - 7*t + 7. Give i(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 83*o**2 + 173. Let w(i) = -41*i**2 - 87. Let t(l) = -6*k(l) - 11*w(l). Differentiate t(n) with respect to n.\nAnswer: -94*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 - 0?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 + -0.2. Let i = 2075 + -2075.2. What is the third smallest value in x, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25772626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2410 - 2390 - 2240 - 31*k**2 + 7040.\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 16. Let o be n(-18). Suppose 0 = -2*j - 0*j + 12. Sort -5, o, -3, j.\nAnswer: -5, -3, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52584 and 1008?\nAnswer: 315504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1851*q - 1833*q + 4406*q as g*q + a and give g.\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a (base 11) in base 10?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-7 + 7 - -9 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 2227733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/4 - 19*f**3\/2 - 126*f**2 + 934*f. Factor m(r).\nAnswer: -3*(r + 7)*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 35 + 51 = 4*j, -j - 3 = 2*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -173917889 minus 0.17326?\nAnswer: -173917889.17326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -0.23, 0.6, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -80\/13, -3, -5\/6.\nAnswer: -80\/13, -3, -5\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -37. Let t = n - 16. Let z = -8 + t. What is the closest to -0.1 in z, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8537 + 17073 - 8536 + 2*y**2. Let q(j) = -264*j - 2. Calculate q(a(w)).\nAnswer: -528*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2 + 3191322*y + 848711342307 = 0?\nAnswer: -531887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/30 and 7\/(924\/(-8))*-2.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1828*z**3 + 3*z**2 - 5*z + 2. Does 33 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 4239*d**2 + 25515*d - 38313 = 0. Calculate d.\nAnswer: -1419, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**4\/4 + 19*s**3\/3 - 21*s**2\/2 - 19*s + 6. Let y be v(-20). Let q(m) = 75*m**2 - 3*m + 2. What is the tens digit of q(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/33 bigger than -4\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2 + 40*a + 56. Let m be d(-8). Solve 6*j = -132 + m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1289, -2584, -3879, -5174?\n\"Answer: -1295*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14415 - 6691411.26.\nAnswer: -6705826.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -9*n + 6. Suppose -2*i = -5*t + 19, -t + 0*i + 2*i - n = 0. Is -5 - (t + -10 - 941) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-183*a - 121*a + 461*a)*(2*a**2 + 0*a - 2*a + 6*a).\nAnswer: -628*a**3 - 1256*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/6 - -20\/3. Let u = -5 + 8. Determine k so that 5\/2*k**2 + k + 0 + a*k**5 - 5\/2*k**4 - 9\/2*k**u = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*l + 3*l - 4, -4*o - l = 4. Solve 17*r + o*r = -68 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34786137 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) - (22 + 1). Let o = -756 + 779. Let v = n + o. Solve 8 = -2*b - v*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 + 91*i**4 - 1082*i**3\/3 + 1618*i**2\/3 - 359*i + 269\/3.\nAnswer: -(i - 269)*(i - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d + 37 - d**2 - 20 - 23. Let h be t(-5). Let z(o) = 5*o**2 - 8 + 0*o**2 + o**3 + o**2. Give z(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 953446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 5*j + 2. Determine o(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -635*u - 93. Is q(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*s + 39, s + 3*c + 3 = -8. Let f be ((-24)\/(-4))\/((-84)\/s). Solve 0 - f*j**2 + 0*j - 2\/7*j**3 = 0 for j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b4317 + -385?\nAnswer: -b46a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46009+205850.7513\nAnswer: 251859.7513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Let s(k) be the second derivative of -k**4\/12 + 4*k. Let j(p) = s(p) + v(p). Let d(g) = -4*g. Determine d(j(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 538 - 535. Is l smaller than 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*n + 2*m - 72, 0 = -2*m + 2. What is the greatest common divisor of n and 1275?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1284343*t**4 - t**3 - 714*t**2.\nAnswer: -30824232*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87.3 + -77. Let l = t - 3.1. Let z = -7 + l. Is 9 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6. Let a be (-6)\/z*112\/21. Let m(v) = v**3 - 13*v**2 - 13*v - 6. Let c be m(14). What is the greatest common divisor of c and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 10) to base 15.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 - 4?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*l - 44179, r + 198844 = 59*l - 50*l. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {m: 1, k: 1, p: 3, h: 2, y: 2, t: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-17 - 15) + -22\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(125) + 3 + (1 + sqrt(125))*-5 + sqrt(125) + 3 + -1 + sqrt(125) + -4 + (sqrt(125) - sqrt(125)*-5))**2.\nAnswer: -100*sqrt(5) + 3129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -603 and -604 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2610 and 3378906.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/13 + 36*x**3\/13 - 72*x**2 + 1756*x\/13 - 66 = 0.\nAnswer: -33, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/71 + 23\/568. Let n be (-158)\/5 + 4\/(-10). Let r = 28 + n. What is the third smallest value in j, -2\/7, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -802.68 plus -0.32?\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1079332 and 125\/18924?\nAnswer: 61521924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.984 and 18.765.\nAnswer: -55.99476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 1 + -3 + 0. Suppose -a*p + 4 = -32. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -29.93.\nAnswer: -2.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 101 = -4*o, 122 = 3*m + m - o. Let z(v) = -18*v + 242. Let g be z(11). What is the remainder when m is divided by (13 - (-11 + g))*1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*w + 6 = 0, 4*x + x + 2*w - 2 = 0. Let z be 1 - (x + 1 + -35). Suppose 5*c = 168 - z. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167742?\nAnswer: 2, 3, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18451.\nAnswer: 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -190*x - 261. Let j be k(7). Is 7 + -8 - -4 - j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brb when three letters picked without replacement from {r: 5, b: 14}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*8\/84 - (-4 + 974\/138). Which is bigger: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4569.14 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c + 5*v - 8 = 0, -2*v = 3*c - 11. Suppose -3*g - 2*g - 46 = -c*o, -5*g = 4*o - 38. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcckkckokcckkc. What is prob of sequence kkcc?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 13*z - 27454. What are the prime factors of z?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + -4 - (sqrt(9)\/sqrt(3))**2*6 - ((sqrt(48) - (0 + sqrt(48))) + -1)) + -4.\nAnswer: -25 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znhtese. Give prob of picking 1 s and 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2321 (base 12) to base 15\nAnswer: 125d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25378643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**6\/10 + r**5\/4 + r**3\/3 - 9*r**2 - 12*r. Find the second derivative of p(x) wrt x.\nAnswer: -36*x**2 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 6206556, -0.04 in increasing order.\nAnswer: -0.04, 0.1, 6206556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1430794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -503987.2 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhrxxxxhh. Give prob of sequence xrh.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.031, -2\/9, 1 in descending order.\nAnswer: 1, 0.031, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-320)\/2 + -6)*1\/4. Suppose 3*p - 39 = 90. Let v = p + w. What is the closest to v in 3\/4, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Suppose 2*y + 3*y - 20 = 0. Suppose -u*k + 14 = y. Solve -5*z = -0*o + 5*o - 5, 0 = 2*o - k*z - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28 from -873954415120.\nAnswer: -873954415092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 591*q. Let n(k) = -11*k**2. Calculate c(n(h)).\nAnswer: -6501*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 + (-10 - 24) - -27) + -104?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178972 is divided by 22371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 1. Let s(o) = -9*o + 3. Let g(n) = 17*j(n) + 6*s(n). Let w be g(-1). Let t(k) = -152*k + 153. Let b be t(1). Solve 3 = -w*a - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 5. Let f = j - -22. Find the third derivative of -12*p**4 + 3*p**f - 5*p**4 + 4*p**2 - 17*p**2 wrt p.\nAnswer: -336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p**6 - 2*p**4 + 2*p**3 - 8*p**2. Let c(b) = b**6 - b**4 + b**3 + b**2. Let n(j) = 2*c(j) - v(j). What is the third derivative of n(w) wrt w?\nAnswer: -1440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 9*x - 128. Suppose -r - 2*q = -q - 30, 2*r - x = 2*q. Calculate the remainder when r is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 e when three letters picked without replacement from ezbzzeqqzzz?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20248427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3864613 to the power of 1\/2, to the nearest integer?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1*((v*v**(-7)*v)\/v)\/v*(v**(1\/3)*v*v)\/v**13)**(-45) assuming v is positive.\nAnswer: v**795","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042409407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*f**3 + 352\/3*f + 350\/3*f**2 + 0.\nAnswer: -2*f*(f - 176)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:43 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-54)*(0 - -2). Is d <= 32.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 453*v - 1. Let u(b) = -10*b**2. What is i(u(h))?\nAnswer: -4530*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 12*y - 7*y + 55, -y - 27920*o - 28 = -27923*o for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*q + 92*q + 4 = 0, 5*m + 3*q + 52 = 0. Let j(v) = -3*v + 7. Let y(h) = 6*h - 13. What is m*j(s) - 6*y(s)?\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/765 (b) 2\/29 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 15*s**2 - 11*s - 21. Let q(x) = 5*x - 40. Let b be q(5). Let u be a(b). Suppose 6*d - u = 252. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 2*j - 24. Let t(q) = 11*q**2 + 8*q - 72. Let a(z) = 17*k(z) - 6*t(z). Factor a(x).\nAnswer: 2*(x - 4)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505\/55 - (-2)\/(-11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 13, 31, 57, 91, 133?\n\"Answer: 4*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559914 to the power of 1\/2, to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - g - 6 = 0, -2*j + 2*g - 1 = 3*g. Let x be (8\/40)\/(j\/(-3)). Let y = -326 - -327. What is the closest to y in 1\/8, -0.3, x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 74*q**2 + 334*q - 3770.\nAnswer: 2*(q - 5)*(q + 13)*(q + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27496 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r - 12*r**2 + 11*r + (-3 + r + 3)*(8*r + 0*r - 4*r) in the form j + s*r + i*r**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -13, -4 in decreasing order.\nAnswer: 0.01, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*k - 19392 - 14990, 8*m = -3*k + 68827. Calculate the greatest common divisor of m and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x - 935 = -64*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 107 = -558. Find the common denominator of -143\/6 and (s\/(-35))\/(1\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56760 by -3.\nAnswer: -18920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -0.018749?\nAnswer: -6.981251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 18*o**2. Let j(r) = -1. Let f(t) = -t - 4. Let a(b) = -f(b) + 4*j(b). Calculate a(n(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times -11?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -2, 35, 94, 181, 302, 463?\n\"Answer: o**3 + 2*o**2 + 8*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + y + 1. Let g be x(-1). Let l(c) = c**2 - 2*c + 21. Let i be l(0). Calculate the greatest common factor of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a - -abdc2c?\nAnswer: abdbb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/215*(-30)\/(-33).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**3 + 55*k**2 - 55. Let y(g) = -g**2 + 1. Let o(f) be the first derivative of f**2\/2 + 30*f + 73. Let x be o(25). Determine x*y(p) + a(p).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108 + -11072?\nAnswer: -10964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - -3*sqrt(165))\/sqrt(11))\/sqrt(3).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**2 - 12*r + 29. Is z(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/4*(-13003)\/3. Suppose 0 = -3*j + 2*v + w, -2*j + 4*v + 8674 = -0*j. Let n = j + 967. Round n to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5521, 5515, 5507, 5497, 5485, 5471, 5455?\nAnswer: 5437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 668971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110233200033 + 2?\nAnswer: 110233200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6 + 4*m**3 - 2*m - 3*m**3 + 9*m**2 - 3*m**2. Suppose -f = -2*f - 13. Let z = 7 + f. Calculate a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2661*t**3 - 5337*t**3 + 2644*t**3 - 2.\nAnswer: -32*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) -5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*g - 31 = -13, -4 = -2*z + 2*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1013842 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 3*y. Suppose -3*f - 9 = -0*f. Let r(q) be the first derivative of -3*q**3 + 5*q**2\/2 - 1. Let u = 9 - 14. Calculate f*r(j) + u*v(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010100001 (base 2) in base 16?\nAnswer: -aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 1405?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7844*m*u**3 - 18*m*u**2 + 5*m*u - m + 7*u wrt u.\nAnswer: 47064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1\/4, 3\/10, 2\/19, -11\/2, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2048322949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + 22*g**2 + 6*g - 6. Let r(y) = 7*y**3 + 44*y**2 + 13*y - 13. Determine -13*l(m) + 6*r(m).\nAnswer: 3*m**3 - 22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2))**(2\/11)*f**(3\/13)*f*f*f**(-2\/13))**23 assuming f is positive.\nAnswer: f**(8625\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 5. Let p be h(-4). Suppose 70 = 5*g + 5*g. Is 15 a factor of (6\/g)\/(p\/(-105))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + i = 5*i - 12, i + 4 = 2*h. Solve 2*d - 5*y - 32 = -18, h*y = -2*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 1350\/(-27) - -1*(-1 - 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -6 (b) -11 (c) -5\/2 (d) 0.053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -42 - (-8 - ((2 - (16 - 5)) + -2))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 20. Let l = t - 15. Suppose l - 23 = -3*w. Solve 4*j + 2*z = -2*z + 8, z + w = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6965, 7452, 8243, 9338?\n\"Answer: 152*s**2 + 31*s + 6782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 2. Let l be o(2). Let w(z) = -z**3 + 7*z**2 - 9*z + 5. Give w(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -34. Find the second derivative of -44*z**2 - 3*z + 41*z**2 - 7*z - 27*z**m wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 2)\/((-9)\/(-2)). Let s = -1 + r. Let n = -0.96 + -0.04. Is s smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*12\/(-864)*20?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4237362 and 5436?\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4070340, 8140441, 12210542?\nAnswer: 16280643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {d: 3, e: 1, f: 1, s: 5, r: 2, a: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 70*i + 403. What is s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/1*(2313\/(-3084))\/((-63)\/(-10))*-2?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 727967760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224472879\/5 + -22243937351\/495. Let g = o - -42671. Let m = -5\/33 - g. Which is the second biggest value? (a) 4 (b) m (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -931*31\nAnswer: -28861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let d = 2 + -1. Is d less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 + 2372*p**4 - 7092*p**3 + 7084*p**2 - 2360*p = 0. What is p?\nAnswer: 0, 1, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.24566 decades to months.\nAnswer: 11069.4792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 27*o - 1)*(o - o**3 + 0*o - 4*o).\nAnswer: 27*o**4 + 81*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 924828331 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 474 - -362. Let w = s + -650. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**8\/1008 + y**7\/105 - 23*y**6\/120 + 23*y**5\/90 + 5*y**4\/3 + 2002*y**2. Determine d, given that o(d) = 0.\nAnswer: -12, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + s + 2. Let w(m) = -m**2 - 18*m + 21. Let v be w(-19). Let r be k(v). Let z = -0.3 + 0.1. Which is the closest to z? (a) 1 (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - (4 - 0)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**2 + 5421*t**4 - 15*t**2 - 2203*t**4 + 16*t**2 + (-3 + 4 + 1)*(2*t**4 - 3*t**4 + 0*t**4).\nAnswer: 3216*t**4 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 3*f**3 + 3*f**3)*(12428*f + 418133 - 209067 - 209064).\nAnswer: -12428*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**20*j)\/((j\/((j*j\/j**13*j)\/j*j))\/j) assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*q, -238877*w + 3*q = -238880*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6*r - 18. Put r, -3, -5 in descending order.\nAnswer: -3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:06 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -2 - 0 - -3. Let x = o + -1. Solve x*b + 5*b - 1 = 2*p, -6 = 2*b - 4*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-3)\/4))\/((-612)\/1836).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/190 and 12\/1015?\nAnswer: 38570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 617*s**2 - 352*s - 9. Let i(f) = 1235*f**2 - 705*f - 15. Let a(d) = -5*c(d) + 3*i(d). Find the second derivative of a(y) wrt y.\nAnswer: 1240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 71 - p**2 + 3*p - 26 - 18 - 19. Let s be x(4). Suppose 40 = s*c - 2*h - 34, 3*h + 48 = 3*c. Calculate the highest common divisor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-1218)*(2 - -2)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 2*k - 175. Suppose 27*x = k*x - 400. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 + 38*k**2\/5 + 176*k\/5.\nAnswer: 2*k*(k + 8)*(k + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**3 - p**2 - 9*p + 8. Let z be y(1). Solve 5*k - 6 = -3*i, 7*i + k - 14 = z*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 8*r**2 - 18*r + 10. Let p be (-2 - -4 - -2) + 4. Let s = -17 + p. Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 r when three letters picked without replacement from {r: 4, h: 12, n: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 divided by -14?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 3. Let l(o) = -1. Let t(y) = -f(y) - 3*l(y). Let w(b) be the second derivative of 0*b**2 + 0 - 1\/6*b**3 - b. Give w(t(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 94*r - 210 = -51*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 7*p**2 + 18*p - 1. Is 17 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -746, -3122, -7090, -12656, -19826, -28606?\n\"Answer: -m**3 - 790*m**2 + m + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7128270 - 7128270 + 6162*q**2 to the form j + z*q**2 + d*q and give z.\nAnswer: 6162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, z: 1, w: 4, h: 1, y: 1, p: 2}. What is prob of sequence mpz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 33*g**3 + 378*g**2 - 1760*g + 2688.\nAnswer: (g - 14)*(g - 8)**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 3*t - 2. Let k = -6 - -13. Let q = 10 - k. Is s(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*p - 4*p**2 + 2 - 3 + 0 + 48*p + 19*p**2 to the form v + x*p + y*p**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54925*v**4 - 64*v**3 - 49480356*v**2 wrt v.\nAnswer: -1318200*v - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 12515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.3132 * -0.3\nAnswer: -0.39396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 5, -9, 1 in increasing order.\nAnswer: -9, 1, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 2250*b**3 + 0*b + 2 + 3750*b**3 - 1949*b**3.\nAnswer: -449*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2. Let l(t) = 114*t**2 + 20*t + 5. Let y(h) = 286*h**2 + 48*h + 12. Let a(p) = -12*l(p) + 5*y(p). What is a(r(b))?\nAnswer: 248*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*h + 16 = 8*h, -h - 7 = -4*m. What is the closest to -0.06 in m, -1.4, 5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x - 4. Let b(c) = -2*c**2 + 4*c - 3. Let m be b(2). Determine s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - y - 3 = 0, -a + 15 = -2*y - 3*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqalllqkalaaqahhqm. What is prob of picking 2 q?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518004 - 559 = 8533*z + 124357 + 107984 for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 439*l - 1634 = 245*l + 14 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -0*y - y + 6, 0 = 4*s - 3*y + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/24 - 8*k**2. Let a(c) = 0 - 2 - 2*c + 2. Give a(s(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1428.29 millennia to years.\nAnswer: 1428290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 2:28 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h, 8*p - 4*h - 225 = 3*p. Let r = -36 + p. Suppose -r*u = -17*u + 180. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285392*k - 130564*k + 408585*k + 409807*k.\nAnswer: 973220*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(272) + (sqrt(17) + sqrt(102)\/sqrt(6) + -4)**2 + (((sqrt(68)*-1)\/sqrt(4) - (sqrt(17) + sqrt(2448) + -1)) + 3)**2.\nAnswer: -124*sqrt(17) + 3430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272728 + 100*m + 203*m + 272703 - 46*m to the form w*m + p and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4715705628 - 1167.4715048628. Let c = 2776 + -3943. Let m = p - c. What is m rounded to six decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/9 - (-1)\/3. Suppose 2*z = w*z. Suppose 4*n = 2*c - 52, c - 4*n - 36 = -z*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 g be (-272)\/10 - (-1)\/5. Let f = -23 - g. Suppose 0 = -3*q - f*r + 90, q = 2*r + 24 - 4. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -124361 (base 16) to base 8\nAnswer: -4441541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 58128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1713876930 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2135726, 4271451, 6407176, 8542901, 10678626, 12814351?\n\"Answer: 2135725*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -121, 0, 1 in increasing order.\nAnswer: -121, -82, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 8*a + 3. Let b be x(-6). Let d be ((-3)\/b*0)\/2. Sort d, -5, -2 in decreasing order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3903537401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 - 291. Let l be ((-6)\/(-12))\/((-4)\/40*q). Solve 2*r + 8 = -4*k, -l*r + 25 = -8*k + 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34255.9 - 0.02015714?\nAnswer: -34255.92015714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-0.52.\nAnswer: 17.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 786, 4036, 9454, 17040, 26794, 38716?\nAnswer: 52806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 3*g - 8. Let f(y) = -2*y**3 + 2*y - 9. Let s(w) = -4*c(w) + 6*f(w). What is the first derivative of s(o) wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-27)*(-6)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303 and 273912.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-seven fifths of a millimeter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12627)\/(-1188) - 10 - 388\/(-291)*18\/(-32)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11221 (base 4) to base 3\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1187\/2 + -609. Let k = x - -16. Factor -1\/2*g**3 + 1\/2*g**5 - k*g**2 + 0 + 0*g + 1\/2*g**4.\nAnswer: g**2*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2629*f + 2626. Give t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1947554 and 1251999.\nAnswer: 17527986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6121760199 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48442 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3171 is divided by 2774?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -687 + 0.045.\nAnswer: -686.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 651543931 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**3 - 18*p**3 + 0 + 0.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/7 - 334*h**4\/7 + 55626*h**3\/7 + 401686*h**2\/7 + 635168*h\/7 + 289440\/7 = 0.\nAnswer: -268, -5, -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1441.29719579 and -267?\nAnswer: 1708.29719579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*n + 10 + 83 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 20. Calculate y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23258598*-0.3.\nAnswer: -6977579.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/7*c**2 - 3\/7*c**4 + 3\/7*c + 9\/7*c**3 + 0.\nAnswer: -3*c*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 - 3*m**2 + 31*m**2 - 23*m**2 + 69*m**2.\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -137. Let c = -23 - -26. Calculate the common denominator of 69\/(-6) + (3 - c)\/1 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 18, u: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -2, -293, -1\/4, 0.4, 63, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lit when three letters picked without replacement from wcdtliict.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/4)\/1)\/(125*10\/350)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4016970\/(-445) - (-7 - -2 - -2). Let w = h - -9024. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, g: 4}. What is prob of sequence ggg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l - 3*l**3 + 2*l**3 - 5*l + 82 - 79 + 2*l - 5*l**2. Give h(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -11. Suppose 86 = -r*o + 3*w - w, -88 = 4*o - 4*w. What is the units digit of -10*(1 - o\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131961 (base 10) to base 7.\nAnswer: 1056504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -373501\/1540 - -2667\/11. Calculate the common denominator of 117\/230 and c.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -2 + -7 - 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 3, 32, 12 in decreasing order.\nAnswer: 32, 12, 3, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -185*w**2 + 28. Let v(s) = 2*s - 21. What is x(v(m))?\nAnswer: -740*m**2 + 15540*m - 81557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 0.94.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 2, 3, -2, -380, -5 in increasing order.\nAnswer: -380, -63, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0*f**2 - 1 - 2*f**2 + 11*f - 5*f + 3*f**2. Calculate y(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.7664178 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 11*v**2 + 10*v - 16. Let y be c(-12). Let s(m) = -m**2 + 7*m + 3. What is s(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203069 - 5*p - 75*p - 150*p + 203070.\nAnswer: -230*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-6) + -2)*-6. Suppose 5*h - 3*h = -v*h. Solve h = -2*t + 4 + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - (-268 - -89) - 41?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3256, 12975, 29174, 51853, 81012, 116651?\nAnswer: 158770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/16*16\/372?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.9889 centuries to months.\nAnswer: 553186.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1\/8 (b) -2 (c) 5 (d) 1\/10 (e) -888 (f) -551\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 65.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -14*j + 96. Let f be d(7). Sort 0, 1, -16, f in decreasing order.\nAnswer: 1, 0, f, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o. Let a(l) = -428874*l - 25*l**2 + 428874*l. Determine v(a(j)).\nAnswer: -75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000486865 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -697, 4, 2, -2, 1.\nAnswer: -697, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/r**(-10)*r*r*(r*r**(-8))\/r assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/27 - 275\/(-25)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5 + 321*g**4 - 10440*g**3 + 114696*g**2 + 104976*g - 6193584 = 0.\nAnswer: -6, 18, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4974 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let y(v) be the third derivative of v**5\/12 - 5*v**3\/6 - 8*v**2. What is y(a(d))?\nAnswer: 5*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 21*f + 14. Calculate the remainder when 18 is divided by k(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88262*t**2*v**3*y - 9*t**2*v + 83*t*v**3 - v**2 + 2*v wrt y?\nAnswer: -88262*t**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.051 + 8. Let o = v - -0.124. Let q = 0.573 - o. Which is the biggest value? (a) q (b) 3 (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10642, -42711, -96206, -171133, -267498, -385307, -524566, -685281?\n\"Answer: -f**3 - 10707*f**2 + 59*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*x - 5*k + 44, -2*x = -3*k - 26. Suppose p + 185 = 4*d, d + 4*p - 50 = 5*p. Calculate the highest common factor of d and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*g - 3*g = 0, -2*g = -2*m. Solve m = 4*o + 29*f - 24*f + 3, o + f + 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(20)\/sqrt(40))*-4 - ((sqrt(8)*3 - sqrt(8))\/sqrt(4) - (sqrt(2) + (sqrt(200) - (sqrt(200) - sqrt(200)*-1)**2) + sqrt(2))).\nAnswer: -800 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzvaaakavauuuuuaaz. Give prob of picking 3 z.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21064 is divided by 297.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 2*r - 5. Let q(s) = -s**2 + 1. Let o(z) = z**2 - 4*z - 35. Let j be o(9). Suppose -16 = j*m + 6*m. Determine m*k(i) - 6*q(i).\nAnswer: 2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:12 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -12. Let z be 22\/d - (-2)\/(-3). Solve z*x + 4*a = a, 2*a = -8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15621 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (2 - 0 - (25 - 19))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19113700*y**3 - 12320919*y wrt y.\nAnswer: 114682200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 236\/(-6)*(-4 + 1). Suppose 138 + g = -4*p. Let h = p - -111. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*w = -160, -2*l + 2*w + 2*w + 320 = 0. Suppose 3*v = 5*f + 2*v - 171, -4*f - 5*v + l = 0. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 19*m**2 - 34. Let r(i) = 9*i**2 - 17. Let p(d) = -3*j(d) + 7*r(d). Differentiate p(c) with respect to c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**0\/r)\/r)*r**(-2\/7)\/r*r\/(r\/r**1*r)*r*r\/r**6)**(2\/31) assuming r is positive.\nAnswer: r**(-32\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*q**2 - 68*q + 144*q**2 + 4*q**3.\nAnswer: 4*q**3 - 68*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16.072 or 2\/5?\nAnswer: -16.072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2. Let s(o) = -2*o**2 - o. Let l(d) = -203*d**2 - 116*d. Let q(r) = -l(r) + 116*s(r). Determine k(q(y)).\nAnswer: 2523*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263852 is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 13*u**2 - 11*u - 2. Let k be i(12). Solve f - k = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -17. Which is the second smallest value? (a) -3 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-224)\/(-6) + 7776\/(-216). Find t such that j*t**2 - 4\/3*t + 4\/9 - 4\/9*t**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k**2 - 9*k**2 + 6*k**2 - 27*k - 2*k**2 - 2*k**4 - 3*k**2 wrt k?\nAnswer: -24*k**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -6. Let c be -1*4*(w + 315\/20). Let j = -27 - c. Calculate the remainder when 83 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39688966, -39688970, -39688978, -39688990, -39689006, -39689026?\nAnswer: -39689050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*n = 363*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 193277, 386739, 580201, 773663, 967125?\n\"Answer: 193462*n - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25003 and 101651.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 4*s**4 + 188*s**3 + 184*s**2 - 906*s + 540 = 0. What is s?\nAnswer: -10, -3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8038 + -8037.7. What is the closest to 0 in p, 2, 0.01, -0.02?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + 45. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/(-200)*(-3 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1439*g = -14368 - 56143 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.82 + -2.92. What is the nearest to q in 4, 12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 10, -4 = 2*o + 6*b - 2*b. What is the second derivative of 0 + 0 - 6*s**5 - 3*s + o*s**5 wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15411 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/52)\/(2547\/(-13584))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0 - 4*o + 0*o**2 + 0*o**3 - 1\/4*o**4 + 1\/10*o**6 + 0*o**5. Find c, given that w(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1791 and 1368?\nAnswer: 272232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3223111349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 845594 = 0.68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 133*f**2 - 45*f - 17*f**2 + 45*f + 106*f**2. Let u(x) = -15*x. Determine u(m(w)).\nAnswer: -3330*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**6 + 57*o**4 + o**2 - 100*o wrt o?\nAnswer: 360*o**3 + 1368*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 156. Let y be 148996 + -1 + (14 - n). Round y to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7926 - 6751. What is the highest common factor of 47 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61968*d + 130 = 61963*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/78 and -55\/86046.\nAnswer: 1118598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 124353 divided by -1637?\nAnswer: -124353\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -5668?\nAnswer: -3\/5668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u + 1. Let c(g) = -22*g - 2. What is c(s(r))?\nAnswer: 22*r**2 - 22*r - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290684755571562 - 290684885169041.999953. Let w = -129597376 - s. Let d = w - 104. Round d to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 90. Let p = w + 0. Let f = p + 74. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atattttttttttttatt. What is prob of sequence tatt?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/7, 2\/5, 1, 1120?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 40. Let a be t(18). Calculate the common denominator of 2\/(-12)*a\/6 and 25\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -24*a - 19. Let p(x) = 8*x + 6. Let d(c) = -8*p(c) - 3*y(c). What is the first derivative of d(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356067.\nAnswer: 3, 39563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 4*o = 27, 273*o = 2*y + 270*o - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/100980 and 1\/114612300.\nAnswer: 114612300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137565413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64.8 + 53. Let b = 12 + i. What is the second smallest value in -3\/5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2611.\nAnswer: 20888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1323 - 0.0677. What is the nearest to 0.1 in 9, 11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -53*i + 355. Let v be z(6). Let h = 0 + 5. Suppose 18 = n - h*g - v, 45 = 2*n + 3*g. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68457 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {r: 3, j: 1, c: 1, f: 10, s: 1, l: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95597.\nAnswer: 95597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3058 is divided by 110?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 50 = -148. Let c = -114 - -103. Let b(q) = q**3 + 12*q**2 + 9*q - 13. Let y be b(c). What is the highest common factor of y and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721000 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -128 (b) 8 (c) 5 (d) -0.02 (e) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 1 + 0*l**2 - 3\/2*l**4 + 0*l + 2\/3*l**3 + 6\/5*l**5 - 1\/3*l**6. Factor d(r).\nAnswer: -2*r**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*m - 23*m - 27*m - 34*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186168 by -1.\nAnswer: 186168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*x**4 + 2964*x**3 + 9306*x**2 + 12312*x + 5832.\nAnswer: 2*(x + 3)**2*(13*x + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 1:23 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -34*v**3. Let t be q(1). Let l = 32 + t. What is the nearest to l in 2\/3, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of ((-14)\/(-28) - 0)*10550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 1 + 0*x + x)*(269860*x - 269860*x + 150*x**2).\nAnswer: 150*x**3 - 150*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359 + -353. What is the remainder when 6 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/3, 0.2, 0.04?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1)\/(2\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + -737?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 15*m**2 + m - 18. Let l be p(15). Let y(i) = -2*i**3 - 5*i**2 - 4*i - 3. What is the tens digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w**(-1)\/w))))\/w)\/w*w)**(-27)*w**(-1\/4)*w*w**(4\/7) assuming w is positive.\nAnswer: w**(-1475\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17603 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112503\/22 - -5110. What is the common denominator of ((-2)\/6*(-636)\/(-16))\/30 and m?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -25?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21970614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = o + 5*i + 3, -3*o + i = -21. Let m(t) = 5*t**2 + 8*t**2 - o*t**2. Let v(b) be the third derivative of b**5\/60 + 6*b**2. Determine v(m(g)).\nAnswer: 49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*d + 58 = -86*d + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c (base 16) to base 3.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -640308267*h**2 - 23*h + 1983166.\nAnswer: -1280616534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -466, -1901, -4336, -7807, -12350, -18001, -24796, -32771?\n\"Answer: -6*k**3 - 464*k**2 - k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 7*i**2 + i + 1. Let f be v(-5). Let x be 3 - 1\/18*f. Which is the third smallest value? (a) -0.4 (b) -2\/13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/52 + (-126)\/(-8). Let s = 23 - h. Solve -15 = -2*j - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.4 times 0.03?\nAnswer: 14.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c + 6. Calculate the remainder when i(-3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(0*z**2 + 3*z**2 - 4*z**2) - 8*z**2 - 265*z + 265*z + (1 - 2 + 2)*(-2*z - 3*z + 3*z)*(z + 0*z + 0*z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45610 = -12*u + 9170. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {g: 8, r: 1, d: 8, a: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1410*l - 2825*l + 1415*l + 5005*l**2 in the form h*l + r*l**2 + m and give r.\nAnswer: 5005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/9 - 19*f**6\/45 + 2*f**5\/3 + 40*f**4\/9 + 32*f**3\/9 - 16*f**2\/3 - 185*f + 2. What is y in u(y) = 0?\nAnswer: -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/6 - ((-8)\/(-3))\/8. Solve 5*a - 3*u - 45 = 2*u, -2*u = w*a - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from ggggaggggguagagg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 2*k**2 - 6*k - 28. What is the units digit of x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338 and 52542269?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0 - (-254 + 243)) + 0 + -19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 49066840 divided by -169196\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*s + 1591*s + 40550 = -625*s + 121235 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -89745.709 rounded to the nearest one thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-2))\/(3 - 4). Let g be (-575)\/(w - 15995\/(-16000)). What is g rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 516 = -3*t + 14*t + 19*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1010101001 (base 2) to base 15\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 409597 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*y**3 + 5*y + 3 - 17*y**3 - 3 - 3*y**3.\nAnswer: 31*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 7*z + 669. Give s(19).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4*v + 3*m + 8, -4*v + 5*m + 32 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/5 + 2\/10. Let s be (-2 + w)\/(6\/(-3)). Suppose -x - 1 = -s*x + 2*g, 3*x = 4*g + 27. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 19 = 4*l, 13 = 2*j - 5*j + l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v + 2. Let n(c) = -21*c**2 + 82*c + 10. Let z be n(4). Let y(l) = 3*l + 3. Calculate z*s(u) - 3*y(u).\nAnswer: -u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 471, 149, 8 in decreasing order.\nAnswer: 471, 149, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 446*u + 139149. Calculate q(-312).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -4*s, s - 2*y = -7*y + 27. Let k = 193 - 190. Sort s, -54, 0, k in decreasing order.\nAnswer: k, s, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 769 + -765. Suppose -73 = -3*q - 2*u - 63, -20 = h*q - 4*u. Solve -2*f - 5*p + 26 = -0*p, q = f + 3*p - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 6. Let x be u(3). Suppose -153 = 3*i - x*i. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42453 minus -1?\nAnswer: 42454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {s: 2, u: 1, y: 1, v: 2, q: 1, e: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeveeeveeeveeeeevv. Give prob of picking 2 e.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/75)\/1*(46 + -49). Let l = 0.02 - 3.02. Suppose 2*f - 2 + 10 = 0. Which is the closest to -1? (a) w (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c. Let u be (-32)\/(-6) + (-8)\/(-12). Suppose u*i - i = 10. Let p(h) = i*h - 2*h + h. What is p(b(w))?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m - m. Let a be m + -1 + 0 + -232. Let k = a - -3912\/17. Sort 2, k, 0.5 in descending order.\nAnswer: 2, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32167.2 and 0.116.\nAnswer: 3731.3952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -385\/6 - -64. Let g = 3.73 - -0.27. Which is the closest to 1? (a) g (b) z (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 - 6*p - 6. Let b be k(-5). Put 5, b, -5 in descending order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c - 14. Let d be y(-4). Let z(l) = 2*l + 9. Let w be z(d). Let b = w + 7. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*i - 2726, 3*x + 4*i - 1044 - 7199 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(400)\/sqrt(5)*-3*3 + ((sqrt(320)*-3 - sqrt(320)) + 3 - (-1*sqrt(320) + -5)) + 1)**2.\nAnswer: -4320*sqrt(5) + 288081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4822, 4838, 4852, 4864, 4874, 4882?\nAnswer: 4888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**5\/5 + c**4\/5 + 3*c**3\/5 - c**2 + 2*c\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 609 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**3 + q - 9. Let y(m) = m**3 - m**2 - m + 1. Let j(t) = -5*t**3 - 2*t**2 - t - 6. Let b(h) = -j(h) + 2*y(h). What is 7*b(z) + 6*x(z)?\nAnswer: 7*z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85347 is divided by 28282?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -618, -4129, -13514, -31707, -61642, -106253?\n\"Answer: -489*x**3 - 3*x**2 - 79*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -161537 greater than or equal to -161071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from zwlwwzzww?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -18. Suppose -q + x = 6. Sort q, 0.4, 0 in descending order.\nAnswer: 0.4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 116*o**2 - 581*o**2 - 5.\nAnswer: -697*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 1 + 1 + (-o + o + 2*o)*(-2 + 4 + 0))*(152*o - 16 - 76*o - 70*o) + 25*o - 4*o**2 - 25*o in the form x*o**2 + j + z*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4, -4*i + 5*o = -7*i - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 + y**4\/6 + y**3\/3 + y**2. Let j(n) = n + 13. Let w be j(-9). Let a be 4 - w - 8\/(-2). Determine m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + 41*b**2 + 30*b + 9. What is v(-11)?\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 129737206 divided by 93538?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 925660845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66)\/(-15)*5\/(-7). Let o = 59\/21 + d. Which is the third biggest value? (a) -0.1 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - y + 95, 3*x - 3*y = 2*y + 65. Calculate the remainder when x is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q - 9*q - 14*q - 5*q + q - 5*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 4*s + 4. Let t be ((-12)\/(-21))\/((-8)\/(-28)). Let i(o) = -o**2 - 8 + 4*o**2 + 8*o + 0*o**2. Let g(l) = t*i(l) + 5*k(l). Factor g(j).\nAnswer: (j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-303)\/(-110))\/(-3)*637\/7. Let m = b - -423\/5. Calculate the common denominator of m and 1*-1 + 333\/66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by -5836.\nAnswer: 53\/5836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from gwwew?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let f(d) = d - 3. Let z be f(7). Suppose z*a + 524761 = -328375. Let p = 89284 + a. What is p rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-927)\/2 - (-6)\/(-4). Let h = l - -665. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 33 - 13 = 18*u, -2*q - 5*u - 37 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102333101 (base 4) to base 3.\nAnswer: -10221200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 119593963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168\/1853 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305 - -1012?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 1349909*t + 4049718.\nAnswer: (t + 3)*(t + 1349906)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1127 + 1127.00003384. Round i to six decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56417, -225425, -507097, -901427, -1408409?\nAnswer: -2028037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-13000)\/(-1155))\/10 + (15 - 16) and -125\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3160 - -22136\/7. Factor 38\/7*h + 24\/7 + 2\/7*h**3 + o*h**2.\nAnswer: 2*(h + 1)*(h + 3)*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414113 is divided by 175.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 7*q + 10. Let l be a(-7). Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by -2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -1156.\nAnswer: -1156.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58188 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t**2. Let p(g) = -3*g**2 - 4*g + 2. Let s(v) = 2*v**2 + 6*v - 3. Let w(j) = -7*j - 88. Let r be w(-13). Let z(y) = r*p(y) + 2*s(y). Give z(c(d)).\nAnswer: -1125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (14 - (4 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 0.6694.\nAnswer: -1.20492","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is prob of picking 1 z and 1 r when two letters picked without replacement from rrzzrrjryjtjrr?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (13 + -5 - 15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j - 10. Let m be i(-1). Suppose -3*q + 5 - 14 = m. What is the fourth biggest value in -0.4, 2\/13, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 33958*j. Let g(c) = -105*c**2 - c. Calculate m(g(k)).\nAnswer: -3565590*k**2 - 33958*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (948 - 936) + 2 + -3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316 (base 7) to base 8.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36551467 to the nearest integer?\nAnswer: 6046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -305 + 303. Let n(o) = 6*o - 3. Let y(h) = h**2 - 3*h + 1. Let z(w) = q*y(w) - n(w). What is z(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/16*1 - (-6)\/(-24). Suppose 15*x = 13*x + 88. Let o be (x\/(-6))\/((-9)\/27). Solve 4*c + g = o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759317650 a multiple of 8766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2805.27973 to 1 dp.\nAnswer: -2805.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97247.4177812301 + 1121.7202187799. Let w = c - 98368.038. Let i = w + -1.1. Round i to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/12 - 1*2. Let o = -6.4 - -6. Which is the closest to w? (a) -0.3 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2608 by -4.\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29907516?\nAnswer: 2, 3, 73, 34141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753869569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 11490930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 - 4*p + 3. Let y be m(3). Suppose -5*z - g + 29 = y, -5*z + 16 = 3*g - 21. Solve 3*h - 4 = -0*l - l, -z*l + 20 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k*k**(2\/3)*k*k)\/(k\/k**(1\/4))**(1\/22))\/(((k**5*k*k)\/k*k*k**(-1))\/(k**(1\/4))**(11\/2)) assuming k is positive.\nAnswer: k**(-131\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/360 + 11*i**4\/8 - 4*i**2 - 11. Let z(c) be the second derivative of r(c). Let u(w) = -29*w**2. What is z(u(v))?\nAnswer: -58*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112497330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8 (c) 0.181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/20*(-15)\/(-6). Suppose 0 = l*v - 2*f - 4, 0*f = -2*v - 4*f + 4. Solve s - 3 = v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 47*r**2 - 24*r - 15. Calculate h(5).\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 62 = 26. Suppose 5*a + 5*q + 30 = 0, -f = 4*a - q + 3*q. Let h(d) = -2*d**3 - 6*d**2 + 2. Is 32 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 121. Let h = q + -55. Suppose -646 + 1601 = h*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.97 + 59.33. Let v = n + -46. Let g = v + 4. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1598)\/(-85))\/((-4)\/(-10)). Suppose 432 = -n*m + 56*m. Calculate the lowest common multiple of 28 and m.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 223 + 6 = 0. Calculate the greatest common factor of j and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 746253816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -454533 + 262533. What is q rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*o + 5 = 138*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -72 - (-1 - -5) - -16 - 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/3 - 668*g**4 + 121408*g**3\/3 + 376268*g**2\/3 + 126762*g + 127432\/3 = 0.\nAnswer: -1, 68, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g*g)**(-2\/45)\/(g**7*g\/g**(-2\/3)))\/(g**(1\/10)*g**6*((g\/g**0)\/g)**(1\/19)) assuming g is positive.\nAnswer: g**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 + 54*v**3 - 58*v**3 - 265 - v + 278 to z*v + n*v**3 + u*v**2 + x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/210 and 27\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 22 = -4*f, 0*h + 4*f = -h + 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 9 + 0)*(2 + 3 - 3)*(-2 + 14*v + 2) as o + h*v and give h.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5005*i**5 - 4*i**4 - 435*i**3 - 7633*i**2 - 412*i.\nAnswer: -300300*i**2 - 96*i - 2610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 0 - (-103 - -114).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4732942067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469 = -5*q - 62*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 j when three letters picked without replacement from {w: 2, j: 4, n: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20102220 (base 3) to base 10\nAnswer: -4695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (400\/28)\/5 + -3. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 60*m - 97. Calculate o(-25).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(475) - (-1 + sqrt(475) + 2) - sqrt(475) - sqrt(475)) + 2)**2 + -3.\nAnswer: 80*sqrt(19) + 1913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855378*b = 4*j + 855380*b - 46, 9*j - 76 = b for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o**2 - 5*o. Let n be v(-2). Let s(c) = 4*c + 6*c**2 - 11*c**n + 3*c**3 + 3*c**3 - 10 - 7*c**3. Let d be s(-6). Solve -d*u + 0 = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8 - 7*y + 2*y - 3929*y**2 + 3934*y**2. Let u(c) = -9*c**2 + 17 + 9*c - 4 + 2. What is 6*u(s) + 11*v(s)?\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -4)*84\/350. Let i be (-24)\/(-63) + 2\/7. What is the third smallest value in i, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22994048406360 take away -0.3?\nAnswer: -22994048406359.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 254840313137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571427941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Let i(p) = -26*p**2 - p + 5. Let l be i(s). Let j = l - -175. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (9 - -13)) + (-6 - (-2 + -21)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1671780 and 137\/62580.\nAnswer: 11702460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 10:21 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n + 3. Let y be i(-3). Find the second derivative of -5*o**3 - 24 + 24 - 4*o + y*o wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -22520.68\nAnswer: 90082.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 9. Let l be f(-4). Let x = 2\/1263 - 1273\/6315. Which is the third biggest value? (a) -1 (b) -2\/3 (c) l (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/5)\/((-1)\/(-7)*-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43734 times -0.1?\nAnswer: 4373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1924? (a) 20 (b) -1\/5 (c) -0.5 (d) -63 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/11402 + -4880067\/125422. Are -40 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**2 + 4*u**2 - 4*u**2)*(-147 + 5*u - 142 + 284)*(-3 + 3 + 2)*(0*u + u + 2*u) as x*u**2 + v*u + t*u**4 + p + z*u**3 and give t.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t = 40*t + 207. Calculate the highest common factor of 276 and t.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:07 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 3, y: 1, x: 1, i: 3, v: 2}. What is prob of sequence yp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:02 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**4 - 248*j**3 - 260*j**2 + 504*j = 0.\nAnswer: -2, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.041, -1\/60, -3?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m - 415. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y. Let i(t) = 6 - t**2 + 3*t**2 + t**2 - 12*t + y. Is 14 a factor of i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.8993 and -5.\nAnswer: -7.8993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 85. What is the greatest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.831 and -0.01.\nAnswer: 0.11831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/89 or 1\/227234?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1670400 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/9))\/y**(3\/4)*(y**(-1\/2))**(-4\/27))\/(y**(-9\/5)*y\/(y\/(y**3*y)*y))**(2\/17) assuming y is positive.\nAnswer: y**(3719\/9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8 + 11\/(-2). Let c be (-3)\/5 - (-2)\/w. Let l(k) = -k - 1. Give l(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 2:28 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 14892850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*g**0)\/g)))**11*g**(2\/7)*g**(6\/11)*(g*g*g**(-2\/3))\/(g*g*(g*(g*g**2\/g)\/g)\/g*g*g)*(g**(1\/4)*g)\/(g\/g**(2\/9)) assuming g is positive.\nAnswer: g**(-6551\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -16*q + 4. Let c(v) = 33*v - 7. Calculate 3*c(h) + 5*w(h).\nAnswer: 19*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 208, 478, 866, 1378, 2020, 2798?\n\"Answer: o**3 + 50*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*k + 132, -28 - 49 = k + 5*j. Let w = 116 + k. Calculate the remainder when 190 is divided by w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22623, 22633, 22643?\nAnswer: 22653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34088274 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 46*f**3 + 1284*f**2 - 107*f + 144. Determine k(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -38*a - 596. What is o(-15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*v + 4*v - 15, 2*c + v = 15. Suppose -7 = 2*d + 2*k + 1, 5*k - 10 = c*d. Suppose 4*s = 3*s + 4. Sort -5, d, s.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 + 105*w**3 - 3350*w**2 + 6240*w = 0 for w.\nAnswer: -39, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45535, -91121, -136707, -182293, -227879, -273465?\nAnswer: -319051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/8 + -12 + (-405)\/(-36). Let z(m) be the third derivative of 1\/4*m**4 + 5*m**2 + l*m + 0 + m**3. What is the first derivative of z(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 63\/55, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-12)*(-2192)\/685?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51892544 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, -0.3, 1, 5, 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose 102 = o*v - 3*d - 138, 3*v - 359 = 4*d. What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h + 17. Let u be (-45)\/(-10) + -7 - 21\/(-14). Let c(y) = -y + 1. Determine u*b(k) + 5*c(k).\nAnswer: -2*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2.4, 0.04.\nAnswer: -2.4, -1\/5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4927 (base 14) in base 10?\nAnswer: 12775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -366 - 16372?\nAnswer: -16738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1903*s**2 + 7*s + 54993.\nAnswer: -3806*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3*m**2 - 2*m - 5. What is v(6)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:10 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 4*i + 2*i**4 + 5*i**4 - i**3 to the form u + h*i**2 + m*i**4 + w*i + k*i**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -15. Let s be (t + (-9)\/2)*-20. Let l = -12 + s. Calculate the lowest common multiple of 4 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2 + 22. Let p(g) = 1 + 97*g**3 + g**2 + 80*g**3 - 178*g**3. Calculate p(v) + t(v).\nAnswer: -2*v**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 1, p: 2, g: 2, d: 1}. Give prob of picking 1 g and 1 v.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Expand (4 - 1 + 0)*(-4 - r + 4).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*c + 819*c - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3195078?\nAnswer: 2, 3, 19, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 228. Let w = q + -72. Suppose -s + t = 0, -t = 2*s - w*t + 3. Solve -s*c + x = -4*x - 22, 4*c + 4*x = -24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153064 is divided by 975.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115212987?\nAnswer: 3, 12801443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 24 = 3*o + 996, -o = z - 314. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51353 = 41*s - 11418. Is s a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5, -2*l + 3*x + 65 = -58. Suppose c - l = 4*c. Let y = c + 34. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-246)\/(-41)*8\/(-6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -4. Sort -9, u, 5 in ascending order.\nAnswer: -9, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41415887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n. Let a(w) = -36 - 16*w + 36. What is d(a(j))?\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olzlzzlpozolzzzzzz. What is prob of sequence oz?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173516 (base 14) to base 12.\nAnswer: 334254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(30) + sqrt(60)\/sqrt(2))*-2)\/(sqrt(864) - (sqrt(864) + (-3*-1*sqrt(864) - sqrt(864)))).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3940178 - 4645*g - 3940178.\nAnswer: -4645*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8049.599 micrometers?\nAnswer: 0.008049599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + 6*h - 5. Suppose 3*x = 3*o - 9, 0 = -4*o + 5*x + 11 + 3. Let l(f) = f**2 - f. Let j(b) = o*t(b) + 3*l(b). Give j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131580 (base 10) to base 16.\nAnswer: -201fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2. Suppose -624 = 15*p - 19*p. Let w(r) = 156*r + 12*r**2 - p*r. Give c(w(t)).\nAnswer: 720*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 6*t - 2*t + 0 + 0 + 2*t + (-1 + 1 + 2)*(0 - 2*t + 0) + 20 - 2*t - 20 + 3*t - 5*t + t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 243*l**4\/4 + 5*l**3\/3 + 216*l + 1255. Differentiate i(h) with respect to h.\nAnswer: 729*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 17*q**2 + 14*q - 79. Give x(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4194 and 288920.\nAnswer: 2600280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 15*f + 8. What is the remainder when k(-6) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 740 = -6. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*h + 39. Let r = -16 - h. What is the greatest common factor of 253 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5407530 is divided by 2241?\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 135.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1780, -13733, -46052, -108919, -212516, -367025, -582628?\nAnswer: -869507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(3 + sqrt(539)))**2 + sqrt(539))*-2 + -1 + (3*(sqrt(539) - (sqrt(539) + -1)))**2.\nAnswer: -9856 - 770*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.66, 15\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*m - 23 = 0, 4*c + m - 217 + 83 = 0. Differentiate -2 + 225*h**4 - c - 289*h**4 - 64 with respect to h.\nAnswer: -256*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*w + 3240 = 434 - 3229 + 1247 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 9:55 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 709 or 721?\nAnswer: 709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 15. Let f = -2356792001\/1070 - -2202609. Let x = -5\/107 - f. Which is the second smallest value? (a) -2 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + 4 + 3) - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 252 + 52 = 0. Let h = -54 + o. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9162761.8 to the nearest 100000.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22565425 and 16775.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*s**3 + 2*s**3 - 3*s**3)*((4*s - 5*s + 3*s)*(1 - 3 + 0) + 4*s - 4*s + s) to b*s**2 + o*s + d*s**3 + p + f*s**4 and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 17*u - d = 3, 0 = u + 2*d + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-4 - -7) + -8 + -15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = 4*w - 4, 5*q = w + 20. Suppose 0 = 16*i + 24*i - 320. Solve i*g - 3*g = w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1762249 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 29982*d + 1091. Is j(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7014)\/4704)\/167*49.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 5, 4, -460\/13, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 13, 27, 41, 55?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 27*l - 90. Is w(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -691 (c) 481 (d) -18\/7 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 103\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 17293, 5 in increasing order.\nAnswer: 5, 55, 17293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 - 4*r**2 - 16*r + 8. Let s be t(-12). Let p be ((-14)\/(-8) + -1)\/((-55)\/s). Which is smaller: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10702*v**2 + 10702*v**2 - 126*v**3.\nAnswer: -126*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -2\/9, -1, -4, 18, 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-77)\/28*-4 - 11. Solve h = -3*i + 2*i - 5*t + 21, -i + 1 = t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*n + 1, m - 6 = 4*n. Suppose -2*a = -5*o - a + 24, 5*o = -m*a + 12. Sort o, -2, -4 in descending order.\nAnswer: o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and 5.83.\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + y**2 - y**2 + 57*y.\nAnswer: -y**3 + 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -13. Suppose 0 = 5*a + 5*u - b, -a + 3 = a + 5*u. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(300)\/sqrt(6).\nAnswer: 4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 15480, 3 in descending order.\nAnswer: 15480, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -8.95. Let f = -6.14 - -0.14. Let h = s + f. Which is the second smallest value? (a) h (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Suppose 5*c - 9600004 = -4*p, 2*c - 1480800 - 2359198 = u*p. What is c rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17121, -17117, -17111, -17103, -17093?\n\"Answer: w**2 + w - 17123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 843 * -0.3.\nAnswer: -252.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u + 0*u)*(10*u**3 + 10*u**4 + 2*u**3 - 4*u**4) + (-1 - 2*u**5 + 1)*(-3 + 2 + 3).\nAnswer: 2*u**5 + 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 23*w - 15. Let s be i(-10). Solve 0 = f - 2*q - 3*q - s, 4 = -q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**6\/40 + 3*u**4\/8 - 5*u**2\/2 + u. Let g(m) be the first derivative of t(m). What is the second derivative of g(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -209? (a) 2\/19 (b) 4 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/((1*sqrt(16))\/sqrt(2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -655, -1049, -1385, -1633, -1763, -1745, -1549?\n\"Answer: 5*l**3 - l**2 - 426*l - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 1, x: 3, f: 13}. What is prob of sequence xs?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -4*s - 6*t + 168 = -5*t, -z*s - 5*t = -126. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3))**21\/(g**(-1)\/g)**(-2\/15) assuming g is positive.\nAnswer: g**(521\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1 - -2) + -12 + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -21. Suppose 12*m - p*m + 356 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 60 = 4*j, -3*s - s + 5*j = -60. Let m be 5\/(s\/48) + -2. Suppose g = -l, 4*g - m = 4*l + 2. Is g != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = -3*u + 9, 5*k + 17 = -u. Let a be (u - -1) + 2\/(-2). Let z(g) = -5*g. What is the smallest common multiple of 18 and z(a)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 2}. Give prob of picking 3 s and 1 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-164)\/3*1\/(-2)*51. Let n = l - 18131\/13. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61183153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47500\/(-1140) + 41 + 1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -116, -892, -3002, -7112, -13888?\n\"Answer: -111*g**3 - g**2 + 4*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88674.23km?\nAnswer: 88674230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - j - 15, 62*k - 58*k + 2*j - 18 = 0. Let x(m) = -m**3 + 4*m**2 + 6*m + 7. Let z be x(5). What is the greatest common factor of z and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130796, -523293, -1177456, -2093285, -3270780, -4709941?\nAnswer: -6410768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 789171.124 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j - 22. Determine c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 340 + 349, 26*b = 4*u - 3*u + 15 - 89 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 58023 + 192428 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose 2*h + 2*h = -p*k - 40, 3*k + 32 = -4*h. Find the common denominator of 31\/5 and 29*(-4)\/(-14) + k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -86729 not equal to -86725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -466 - -494. Suppose 0 = -34*v + k*v. Solve v = -0*b - 6*b + 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((3 - 6) + 0). Let f(g) = g**3 + 2. Let n be f(0). Suppose 3*q + q + x = -18, n*x - 4 = s. Which is the nearest to 0.1? (a) -1\/3 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 227*p + 4393 - 12431 + 2136. Suppose 0 = -4*t + t + 1161. Calculate the remainder when t is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*h + 5, 5*a = -5*h + 6*h - 7. Sort 10, 5, a, 2 in ascending order.\nAnswer: a, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*v**2 + v**2 + 5*v**2)*(-3*v + 3*v - 2*v) - v**3 - v**3 + 0*v**3)*(-834 - 750 + 1806 + 3*v) to i*v + z*v**3 + o*v**2 + x + m*v**4 and give z.\nAnswer: -1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {r: 7, a: 1, l: 4, v: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/2 + 2)*(-20)\/(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 61 = 5*n, -n - 2*g - 15 - 2 = 0. Let u be ((-4)\/(-6))\/((-6)\/n). Is u > -2\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*(0 - (-1 + 1)). Suppose -4*k + 276 + 712 = a. List the prime factors of k.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 - 4*j - 3. Let s be k(4). Let p(m) = m + 3. Let t be p(s). Suppose 65 = 5*l - t*l. Solve 0 = -3*v - 4*o - 27, o + l = -5*v - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 1.3, -2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/344 and 101\/4.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 590832 and 772200?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.36739km to micrometers.\nAnswer: 37367390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 62. Suppose -r - 49 = 4*w. Let v be (5\/w*0)\/2. Solve v*j + 4*j = 0, 0 = -2*c - j - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1\/2, -3\/4, -1\/6, -1, 3\/22?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 - 2 + (-3 - 2 + 1)*(-2 - 2 + 1) + 0 - 1 + 2 + 0 - 3 - 1 - 1 + 1 - 2)*(0 + 0 - 3*y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, r: 2}. Give prob of sequence ro.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8228952 - -3.78289794. Let n = 1.04 + z. Round n to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/20)\/(1\/(-5)). Suppose 2*a + r - u*r = 20, -5*a - 5*r = 0. Solve 5*y + 4*g - 5 = 0, -a*y - 3 = -2*g + 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 359 + -257. Let b be ((-13)\/(-78)*-2)\/((-2)\/u). Calculate the greatest common divisor of b and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*z - 18 - 11 + 5 + 22 to the form v*z + w and give v.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -437510932.6 rounded to the nearest 10000?\nAnswer: -437510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4803, 10017, 15641, 21675, 28119, 34973?\nAnswer: 42237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48020\/9 + 5344. Let l = m + -529\/63. Let s = -17\/63 + l. What is the biggest value in 5, s, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -9*f**8\/56 + 3*f**5\/20 + f**4\/2 - f**3\/3 + 280*f. Find the third derivative of i(a) wrt a.\nAnswer: -1080*a**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {i: 4, j: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Suppose 2*t = 21 - 33. Put f, t, -3 in ascending order.\nAnswer: t, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*v + 28*v + 50*v + 53*v + 53*v + 7*v**2.\nAnswer: 7*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8922734 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 30077 = 5*o, -4*o - 3*k - 12028 = -6*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*x + 13119699 = 0, 5*f + x - 2*x - 21866185 = 0. Suppose q + 1473238 - f = 0. Round q to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -19*t**4\/4 + 34*t**3\/3 + 617*t**2\/2 + 1812. Find the second derivative of d(g) wrt g.\nAnswer: -114*g + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 748 divide 6778376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9808141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (345 - 347) + (1 - 2) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82.9 - 43.7. Let f = l - 0.2. Let g = f - 38.99887. What is g rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6848?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 75*p**2\/4 - 1875*p\/4 - 15625\/4.\nAnswer: -(p + 25)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 3)\/8*0. Suppose -36 = -b*u - 3*u. What is the lowest common multiple of u and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -9190.\nAnswer: 27\/9190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-4)\/4*7 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1770\/177 - (-1 - -14). Sort -1, a, -26.\nAnswer: -26, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**2 - 170*h - 339. Let n be j(-2). Solve -5*r - p - 12 = 0, 34*r - n*r + 4*p = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 78235298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1280337?\nAnswer: 3, 426779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(6\/13))**(-13))**(-12\/11) assuming f is positive.\nAnswer: f**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 407612573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*c - 27*c - 21*c + 6*c - 26*c - 27*c - 29*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22465*m + 22438*m + 648. Let g = 13 - 9. Solve 4*u + 2*t + 6 = 3*u, -g*t = -4*u + m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * 4.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -2*r, 5*r - 1 = -4*i + 6. Solve 3*c + 0 = -r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 26, 71, 1 in decreasing order.\nAnswer: 71, 26, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -4\/5, -0.1, 426, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 106. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -14854.\nAnswer: -3\/14854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**3 - 7*o + 7. Let n(u) = 6*u**3 + 6*u - 6. What is -5*n(q) - 4*t(q)?\nAnswer: -2*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4928949?\nAnswer: 3, 547661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28251674.264 - 0.32\nAnswer: -28251674.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Suppose -5*o + 3*c + 27 = 2*c, -15 = -2*o - c. Let i(a) = o*a**2 + 4*a**2 - 14*a**2. What is i(s(g))?\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 5, 18\/475?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 13 = -f, -44*w + 39*w + 3*f - 15 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 192, 131, 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10 - 3*x + 8.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2673 divided by -6.\nAnswer: 891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 - -161. Let o = n - 3.6. What is the smallest value in o, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1066, -4273, -9622, -17113, -26746?\nAnswer: -38521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**7\/28 - 9*s**5\/40 - s**4\/4 + 7*s - 7. Let b(i) be the first derivative of n(i). Solve b(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j - 639000. What is j rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 7:25 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2266, 2252, 2222, 2170, 2090?\n\"Answer: -m**3 - 2*m**2 - m + 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98213.11g to kilograms.\nAnswer: 98.21311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 0.26, 37\/3, 182\/15?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/252 and 4\/(-15)*15\/6 - 130\/15.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -115.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 6. Let c be g(-2). Suppose 5*r + 6*r - 209 = c. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94.44816 millilitres?\nAnswer: 0.09444816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*116\/(-203)*(-9)\/270*1.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*u**2 + 271*u**2 + 86*u**2 to the form g*u + i + w*u**2 and give w.\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 6893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**7\/147 - 13*i**6\/105 - 3*i**5\/7 - i**4\/21 + 29*i**3\/21 + 15*i**2\/7 + 10*i - 45. Suppose t(w) = 0. Calculate w.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 14*q - 9984 = 0. Suppose -4*g + q = 4*r, -r = -2*g - 6*r + 639. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 1142*a\/5 - 228.\nAnswer: -2*(a - 570)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 h when four letters picked without replacement from tpfeteh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -46*o**2 + 23*o**2 + 22*o**2. Let a(t) = 28*t. What is a(b(c))?\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0029, -0.27, -5 in ascending order.\nAnswer: -5, -0.27, -0.0029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*d - 26 - 67 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 2 s when four letters picked without replacement from {y: 2, k: 3, s: 6, z: 6, g: 3}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -8, 0, -270?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 1 - 15. What is the highest common factor of 3 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - u - 8*u. Let r(l) = -54*l. Let b(f) = 22*f. Let k(q) = 12*b(q) + 5*r(q). What is k(t(s))?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 1387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91868839 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**6\/27 - 2*g**5\/15 + g**4\/6 - 2*g**3\/27 + 11. Factor n(s).\nAnswer: 2*s**2*(s - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3591*f**2 + 6*f**4 - 5*f**4 - 2*f - 1 + 3626*f**2 in the form l*f**3 + a*f**4 + o + m*f + j*f**2 and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Solve 0 = -n*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*h + 8 = 93*h. Which is the closest to h? (a) 0 (b) -1\/2 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose 4 + 8 = 6*s. Let w(t) = -s*t + t + 0*t + 1 + j*t. What is w(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*t + 16. Suppose -116 = -4*z - 3*k, t*k = z + 4*k - 28. Suppose 4*p = 3*p + z. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 13*v - 4 + 1\/2*v**2. Let s be c(-9). Solve -s*a - a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24)*1 + 76601\/148260)*88\/(-12).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(437\/(-161))*(-6)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*8\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*p**4\/8 + 1395*p**3\/4 + 145587*p**2\/8 - 72603*p\/4 - 378 = 0. Calculate p.\nAnswer: -24, -1\/49, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1 - 66*g + 136*g - 72*g.\nAnswer: -2*g - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + x**2 + x. Let g(k) = 15*k**3 + k**2 + 2*k. Let u(h) = -g(h) + i(h). What is the second derivative of u(d) wrt d?\nAnswer: -102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 12*u - 6. Let y(q) = q**3 + 4*q**2 + 3*q + 3. Let m be y(u). Solve 15 = -m*z, 2*j + j + z + 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1597191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 100 = 3*i. Suppose -2*o + o = i. What is o rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -166*v**2 - 30*v + 185. Let c(l) = -331*l**2 - 59*l + 371. Let q(b) = 4*c(b) - 9*d(b). Is q(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1732.42\nAnswer: 1727.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -136, -327, -606, -979, -1452, -2031?\n\"Answer: -f**3 - 35*f**2 + 3*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o - 444 = 0. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -3*-1*sqrt(117) + -2*sqrt(117)*-4 + sqrt(117))\/(sqrt(90)\/(sqrt(40)*-4 + sqrt(10))).\nAnswer: -91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*z - 14 = 1, -1 = z. Let r(s) = -8*s - 56. Let k be r(b). Solve 4*o + x - 3 = 0, -4*o - k = 4*x - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*c + 2)*(-3 - 2*c + 3)*(857 + 4*c - 857).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179*m**4 - 103781*m**2*w**2 + 2461*w**2 + 399*w with respect to m.\nAnswer: 716*m**3 - 207562*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 40*w - 8. Let b(l) = -20*l + 5. Give 7*b(d) + 4*o(d).\nAnswer: 20*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {c: 1, s: 1, d: 1, p: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 - f - 1. Let z(m) = 956*m**3 - 16*m**2 + 2*m + 479. Let y(x) = -4*k(x) - 2*z(x). What is the first derivative of y(l) wrt l?\nAnswer: -5748*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23518 at most as big as 23535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, -0.3, -196, -0.5, 0.089?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(5\/2))**(-3\/16))**(-3\/13) assuming i is positive.\nAnswer: i**(63\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3 = -h. Let z(l) be the first derivative of l**3 - 2*l**2 - 2*l + 24. Let k be z(2). Put k, -3, h in descending order.\nAnswer: h, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 393*u - 272. Let y(r) be the first derivative of -99*r**2 + 137*r + 118. Let v(m) = 2*d(m) + 5*y(m). What is the derivative of v(c) wrt c?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201678414 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-231)*33)\/((-48)\/(-14))*4*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 0. Calculate the lowest common multiple of (-2 + y)*(0 + -5) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -145*h**2*s**4 + 2*h**2*s + 11*h**2 + h + 5 wrt s.\nAnswer: -580*h**2*s**3 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q**2 - 5*q + 1. Let j be m(-4). Let a = j - -35. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/25 (c) 6 (d) -0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 73. What is the remainder when x is divided by (14\/(-4))\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)\/r**1)\/((r*r**3)\/(r\/r**1*r)))\/(((r*r**6*r)\/(r\/r**(2\/5)))\/(r**(1\/2)\/(r\/(r**4\/r)))) assuming r is positive.\nAnswer: r**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -17*l**2 - 2657*l - 56337. Determine n(-131).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**8\/6720 - w**7\/420 - w**6\/120 - w**4\/2 + 8*w. Let u(p) be the third derivative of b(p). What is the units digit of u(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 15*i - 8. Give q(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1419102 and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4776*s - 2944*s + 780912 = 830*s - 662*s for s.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16965 and 10005?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -765, 649, 4487, 11961, 24283, 42665?\nAnswer: 68319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 18309140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 12. Let r be v(0). Suppose -4*k + r = -k. Solve k*m - 12 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 9*d**2 + 9*d + 2. Let l be s(-10). Let r = -8 + l. Solve -r*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12) + (-9)\/(-4) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 55. Let y = 146 - w. Let f = -117 + y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(2 - 0)*4. Let u(k) be the first derivative of k**2 - 3*k + 2968. Give u(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10442?\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/16*8\/(-36)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3502844929 - -68.294.\nAnswer: -3502844860.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 1. Let b(i) = 5*i**2 - 4. Let l(n) = -3*n + 58. Let r be l(18). Determine r*z(s) + b(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*j + 38*j - 19*j)*(-4 + 4 - 2*j).\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = o - 217 - 94, 3*o + 287 = 5*x. What is the highest common factor of x and 6283?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 2*f = -11*z + 6, 9 = 3*f. Let q be (72\/(-45))\/((-91)\/30 - z). Is q equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384106 by 3.\nAnswer: -384106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18351 + 58270. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 36*g**2 + 10*g + 368. Give l(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140352 and 5219856?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(117)*6*3.\nAnswer: -270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1806 and 1110?\nAnswer: 334110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c - 10 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:48 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -1004, -1507, -2012?\nAnswer: -2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1420, -1485, -1602, -1777, -2016, -2325, -2710, -3177?\nAnswer: -3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90 + 52773*n - 52742*n - 10*n**2 + n**2 wrt n?\nAnswer: -18*n + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27 and 0.0192?\nAnswer: 26.9808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 2*m + 8, -3 = 4*w + 3*m + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 6 = 2*f, i - 7*f = -2*f + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 3*z**8\/112 - 11*z**4\/24 + 7*z**2. Find the second derivative of p(b) wrt b.\nAnswer: 180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -12*j - 464, 36 = -5*g + 17*g + 2*j + 104 + 56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -4, -5\/3, -1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfw when three letters picked without replacement from {w: 6, f: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -143. Which is the fourth smallest value? (a) -2\/7 (b) 100 (c) 5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80507 (base 9) to base 4\nAnswer: 30322210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(0 - (-7)\/(-21)) - -1585.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.7 (b) -4 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 163*b. Let n(g) = -5*g - 36. Let u(i) = -11*i - 78. Let m(k) = 13*n(k) - 6*u(k). Calculate m(d(s)).\nAnswer: 163*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 24 + 26. Let v be 1482\/10 + f\/5*1. What is the highest common divisor of v and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/1292 and 79\/380?\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkqgkkkkkggkg. What is prob of sequence kgqk?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-2) - (-2)\/(-4). Suppose k*j + 3*v = -24, 0*v - v - 7 = j. Let n(a) = -a**2 + 4. Calculate n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, 0.4, -0.12, -5, -53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 c, and 1 d when four letters picked without replacement from {d: 2, p: 2, j: 2, w: 6, c: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 107930, 107663, 106940, 105533, 103214, 99755?\n\"Answer: -38*o**3 - o + 107969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796719.105 milliseconds to weeks.\nAnswer: 0.0013173265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -498d?\nAnswer: 4990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104622 + -232?\nAnswer: -105154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 137. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 11*j**2 - 12*j + 4. Let p be a(-12). Suppose 5*h = -5*i + 30, 18 + 3 = p*h + 3*i. Suppose h*c + x = 5*x + 389, 4*x = c - 127. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/40 and 228\/152*(-116)\/690.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmj when four letters picked without replacement from {m: 5, h: 3, j: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 201*g**3 - 21*g**2 - g. Let z(q) = 602*q**3 - 70*q**2 - 2*q. What is -10*d(x) + 3*z(x)?\nAnswer: -204*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a + 57*a = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18450431 less than 18450426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(171) - (sqrt(171) - (6*-1*sqrt(171) + sqrt(171))) - sqrt(171))*-3)\/(((sqrt(9) + sqrt(9)*2)*-3 - (sqrt(9) - 2*sqrt(1089)))*-1).\nAnswer: 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 1. Give g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.0787479?\nAnswer: -0.3149916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 25*h. Let v = -41 + 43. Let k(n) = 10*n**v - 11*n**2 - 2*n**2 + n**2. Calculate q(k(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = -a, -3*a - 2*a = 2*j + 21. Let v = 6 + j. Let r be (50\/(-8))\/(-5) + (-15)\/60. Put r, v, -4 in ascending order.\nAnswer: -4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1918242 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -32, -43?\n\"Answer: -11*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 + (-5 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 8*i - 2. Let y(k) = -13*k + 21. Let c(f) = 12*f - 20. Let v(d) = -3*c(d) - 4*y(d). Let j be v(2). Calculate h(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 + 40 + 5*w)*(-9 + 7 + 4) to the form n + l*w and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 31. Suppose d*v = 3*v + 5, -4*f = -v - 263. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/20 + t**4\/12 - t**3\/3 - 5*t. Let w(y) = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246 - 241. Suppose -i - 3*n + h = 0, 4 + 0 = 4*n. Factor -16\/7*r + 6\/7*r**i - 6\/7.\nAnswer: 2*(r - 3)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + 19)*2\/(-4)*3. Let l(j) = 4*j + 202. Let d be l(f). Solve -3*a = 5*v - 20, 6 = -v - 3*a + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.07 - 16. Let z = 3.93 + w. Let n = -4 + z. Which is the third biggest value? (a) -2\/11 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 6 - (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1755 and 11\/21429135.\nAnswer: 64287405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 125 - 125 + 2*m**2. Let u(v) = -813*v. Calculate u(p(g)).\nAnswer: -1626*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/2, 0.02, 0, 6, 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -22*u - 100. Let n(t) = -67*t - 299. Let y(g) = 4*n(g) - 11*z(g). What are the prime factors of y(-20)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**3\/21 - 69*i**2\/14 - 292*i\/7 + 298. Solve s(b) = 0 for b.\nAnswer: -4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33641 (base 9) in base 11?\nAnswer: -15908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5765859 and 181008?\nAnswer: 3771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = 5*t, t + 3 = 1. Suppose 263 = 225*b - 637. Solve -i + 2 = -b*u, -8*u = -v*u - 2*i + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 16 = 3*y. Let z = -43 + 39. Which is the closest to 0.1? (a) -2\/5 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1462, 0, -4 in ascending order.\nAnswer: -1462, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 6094.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 8 = 3*o, -4*o + 5*t + 13 - 14 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = x + 4*z, 3*z + 13 = -6*x + 8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3481\/9 - (22\/3 + -7). Let i = f + -386. Which is the biggest value? (a) i (b) -2\/11 (c) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12553?\nAnswer: 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -592, -1181, -1770?\n\"Answer: -589*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98393523*z**2 + 196787035*z**2 - 98393512*z**2 + 5*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -3*q**3 + 0*q**4 + 0*q**2 + 0*q + 8\/5*q**5 - 5. Find the third derivative of h(l) wrt l.\nAnswer: 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.7 - 86.3. Let z = x - -115. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02108247 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 11 = g, -34 = -4*k - 5*g - 44 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = 2*c - 44, -22491 = 2*c + 3*y - 22544 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/(-308))\/(((-7)\/(-12))\/(9\/81)))\/(-1).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16)**(-13\/7) assuming f is positive.\nAnswer: f**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-3)\/(-36))\/((-112)\/(-64)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose 0 = v*q - 3 - 3. Suppose 0 = q*x + 15 - 117. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1712 (base 13) to base 14\nAnswer: -1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -251*w. Let q(d) = 6*d**2. What is q(r(k))?\nAnswer: 378006*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4\/4 + 5*s**3\/4 - 5*s**2 - 5*s.\nAnswer: 5*s*(s - 2)*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g + 44 - 506 = 0. Suppose -a = -5, 3*m - 2*a - a - 144 = 0. Calculate the remainder when m is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 20 + 29 + 27 + 38 = 4*q, 5*w = 5*q + 110 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 200, 442, 768, 1172, 1648?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 + 573*t**2 - 20691*t\/2.\nAnswer: -3*t*(t - 363)*(t - 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, k: 1, g: 2}. What is prob of picking 2 g, 1 k, and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 320567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068211 is divided by 178033.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 2*l**2 + 2*l**3 + (2*l**2 + 11*l**2 - 4*l**2)*(-l - 3*l + 2*l) in the form h*l**3 + k*l**2 + g*l + n and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j + 1. Suppose x - 2*w + 3*w + 16 = 0, x - 4*w + 31 = 0. Let s = -14 - x. Let i(l) = 2*l. What is s*i(b) + 2*r(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52416 and 246438.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + r**2 - 3. Let m(n) = 6*n**3 + 5*n**2 - n + 1. Give m(z) + q(z).\nAnswer: 8*z**3 + 6*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**2 - 1\/2*i**3 + 3 + 15*i. Let o(y) = y + 3*y + y. Calculate h(o(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 0.2 (c) 2\/7 (d) -0.751\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*v + 1. Let g(z) be the second derivative of 2*z**2 - z**3 - 14*z - 1\/20*z**5 - 7\/12*z**4 + 0. Give g(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3.5. Let k = a - -0.3. Let n = 1.9 + -2. What is the third smallest value in n, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.906167 kilometers in micrometers?\nAnswer: 4906167000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2. Let g be l(-1). Suppose -4*f - g*m = -9, 2*f + 2*m = -2*f + 6. Solve 3*p = -2 - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4835.2? (a) 0.05 (b) 3\/7 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 254 = 6*k - 582 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.47 + 0.27. Which is the nearest to 2? (a) q (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(108) + (sqrt(168)\/sqrt(4))\/sqrt(6))*-1.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:48 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqre when four letters picked without replacement from {e: 2, s: 1, q: 3, r: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 0.33. Let x = -0.3 + -0.7. Let i = -1.1 - x. Which is bigger: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1419 - -1430. Put x, 31, -1 in ascending order.\nAnswer: -1, x, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 3*a**2 - 1. Let k(w) = -w**3 + 6*w**2 + 7*w - 2. Let n be k(7). Let c be y(n). Solve -4*d = b - 9, -b = b + c*d - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - -0.17308778?\nAnswer: 0.10308778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*4\/30. Let a = -0.7 - -0.2. Let s = 0.163 - 0.063. Put a, i, s in decreasing order.\nAnswer: i, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12880 + 7271*z - 7266*z - 12880.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2540 + -4498. Is 4\/10 - j\/55 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*o**2 + 8*o**2 - 21*o**3 + 8*o**2 + 209*o**2.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -630*j. Let k(r) = 17*r. What is 147*k(g) + 4*u(g)?\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/8 (b) 4 (c) 22\/51 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21582 and 18312.\nAnswer: 604296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 310 + -298.84. Let f = -46.04 - -46. Let d = f - l. What is d rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170b (base 14) in base 15?\nAnswer: -1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 615*j**5 - 10490*j**4 + 10490*j**4 + 109 + j wrt j?\nAnswer: 12300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5826 (base 10) to base 4.\nAnswer: -1123002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51237 + 30?\nAnswer: -51207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lljljjlsjwjjljjjjjw. What is prob of sequence wwl?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i - 53*i = 42. Find o such that -i*o**2 + 2*o**2 + 46*o - 110*o - 294 + 38 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-90) + 5\/(-6) - 171\/19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 18, 7, -502 in descending order.\nAnswer: 169, 18, 7, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s + 138. Let l be b(9). Suppose -l*n - 7*n = -515717. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 0. Suppose -3*k + k = 5*l + 100, y = 5*k. Is (-145)\/l - 1\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x**5\/3 + 16*x**4 + 398*x**3\/3 + 164*x**2\/3 - 168*x - 80\/3 = 0. What is x?\nAnswer: -2, -2\/13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1300 + 3399. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58735 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -1.4\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20120221 (base 3) to base 7.\nAnswer: 20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -144, -267, -410, -579, -780, -1019?\n\"Answer: -f**3 - f**2 - 99*f + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 881221 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3421768 and 332949?\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*((u*u\/u**(-41))\/u)\/u)\/(u*u*u**(-5))*u**4\/((u*u*(u\/u**(-2\/3))\/u*u)\/u) assuming u is positive.\nAnswer: u**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178.301 milliseconds in seconds?\nAnswer: 3.178301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 - 2*h**2 + 3*h**2)*(-4 + 1 + 4) - 8*h**2 - 93*h + 93*h + (4 - 1 - 2)*(4*h**2 - 3*h**2 + 0*h**2) to z*h + w*h**2 + j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*g - 5096, -2*g = -2*h - 0*g - 2556. Let k = -726 - h. List the prime factors of k.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*h + 75, 3*v + 5*h + 51 = 118. Let o(d) = -v + 24 + d. Let w = -1612 - -1615. Calculate o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 27. Let q be r(7). Which is the second smallest value? (a) 6 (b) q (c) -3\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 24 - 4. Let q = x + 5. Differentiate -1 + q - 4*p**2 + 2*p**2 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43228 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k + 42*k = 76*k + 65362. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1493159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11830)\/(-420) - 28 - (-1 - 97\/30).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1393790, 1393799, 1393812, 1393829, 1393850, 1393875?\nAnswer: 1393904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 23. Let d(u) = u**2 - 14. Is d(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*a + 118 - 118 to n*a + c and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3999?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/7 (b) -0.5 (c) -2 (d) -1 (e) -1\/116\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1 - 2*d**2 + 0*d - 49*d**3 - 3. What is the hundreds digit of p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-6)*(113 + -127). Factor 6*q**3 - b - 109\/3*q**2 + 84*q - 1\/3*q**4.\nAnswer: -(q - 7)**2*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/8 + 2\/(-8). Let o = -3 - k. Is o equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -1\/19 (c) 45.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4) + 205271\/37322.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.329073 centimeters in nanometers?\nAnswer: 3290730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 134*j**2 + 11 - 7.\nAnswer: -134*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*k - 29 + 20 + 2 + 21, 0 = 3*d - 2*k + 31 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(88)*-4)\/(-1*sqrt(56)\/sqrt(7)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30996 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 + 0.3. Let j = 0.5 + c. Round j to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738 = 21*a - 30*a. Let b = -88 - a. Let k be 14\/(2\/((-7)\/(21\/b))). Solve 0 = 5*q - 6 - k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 0*h**3 + 1 - h**3 + 4 - h. Let f be p(4). Suppose -v = -3, 4*s = -5*v - 0*v + 27. Solve s - f = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36967 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 - 0.36. Let k = 174.79 + -174. Let c = h + k. What is the third smallest value in -4\/11, 2, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + a + 3 = 4, -3*a = 12. Let h be 2\/(-5) - (-636)\/(-4060). Let u = h + 12\/29. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.5. Let x = 1\/6 - 5\/12. What is the nearest to -1 in s, -1\/3, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 84 + 27 + 2 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -12, -5, -1, 1 in ascending order.\nAnswer: -18, -12, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -14 + 6. Let i(u) = -u**3 - u**2. Let n(a) = -6*a**3 - 6*a**2 + 4*a + 5. Let h(x) = 5*i(x) - n(x). Is h(p) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7120.379 + -305.\nAnswer: 6815.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -674, -1497, -2640, -4097, -5862?\nAnswer: -7929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5448\/432 + 2\/(-4). Let t = -791\/45 + z. Calculate the common denominator of t and -52\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (0 + 4 + -11 + -6) - 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22038072 by 4.\nAnswer: 5509518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 1\/2 (c) 8228\/27 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:56 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*x + 45, 5*x + 3*j - 33 = 4. Let y(c) = -x*c - 3*c**2 + 4*c**2 + 4 + c**2. Suppose -5*v - t = -0*v - 19, -2*v + t = -2. Determine y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 694.34 + -688. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 0. Suppose -15*o - 31 - 14 = 0. Let j be (-1)\/((-5)\/1 - -4). Sort o, 0, d, j in decreasing order.\nAnswer: j, 0, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (1 + sqrt(171) + 2 - 4*(3*sqrt(171) - sqrt(171)))).\nAnswer: -42*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = -3*v + 6, 5*v + 2*w = 10. Let d = -4 + v. Let g(k) = k**2 + 1. Let r be g(d). Sort 4, 2, r in decreasing order.\nAnswer: r, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298021, -298028, -298035, -298042, -298049?\nAnswer: -298056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:13 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 161, 1756, 6101, 14576, 28561?\n\"Answer: 230*r**3 - 5*r**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 42 - 101 = 12*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 704*r**3 + 17360*r**2 + 116032*r.\nAnswer: 4*r*(r + 14)**2*(r + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/(8\/84*7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.3 (c) -2\/101 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 457504 and 2720?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*-2*(4*sqrt(810)*1)\/(sqrt(72) + (sqrt(72) - (sqrt(72)*2 + sqrt(72))*-4)).\nAnswer: 108*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-441*m + 171342 - 171350 - 122*m)*(0 + 2 + 0)*(2 - 2 + 4) in the form o + r*m and give r.\nAnswer: -4504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1856 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 3216281?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + (-146)\/(-4). Suppose -g = -j - 2*j. Let s be 12\/(-10)*(-40)\/j. Solve s*q + 20 = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12) - 20\/(-40). Is v less than or equal to -1.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h**2 + 10*h - 10. Let d(p) = p**2 - p + 1. Let z(m) = -10*d(m) - x(m). Let u(o) = -4*o + 5 - 2*o - 5. Give u(z(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**3 + 11*s**3 - 8*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58386286*o**3 + 2*o + 11620782 wrt o.\nAnswer: 350317716*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {l: 12, w: 2, a: 5}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.131 + -0.331. Let h = 24.8 - m. Which is the biggest value? (a) 0.1 (b) h (c) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1 - 5 - 2*b + 6. Let p(v) = -2*v + 3*v - 2*v. What is p(f(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24795 and 87.\nAnswer: 24795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14306260 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = -d - 4*k, -5*d + 38 = -3*k. Let s(v) = -153*v - 1222. Let g be s(-8). Solve g = -m + d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b88 (base 12) in base 7?\nAnswer: 26015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 120741*x**2 - 1212871080*x + 40156340400 = 0 for x.\nAnswer: -20140, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1388 and 6059314?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 1026, 3554, 8258, 15810, 26882?\nAnswer: 42146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87*27\/(1620\/(-40)))\/(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334118507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r - 69 - 85 = 32 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 29*l + 18. Calculate h(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325 + 318. Let h(z) = -z**3 + 4*z**2 + 7*z - 23. Does 7 divide h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 3*k + 2. Suppose 0 = -10*m - 20 - 0. Give v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33599802 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525\/157 - -349292\/105347. Calculate the common denominator of n and 47\/183.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 - f**5 + 5*f**5 + (0*f**2 - 2*f**4 + 0*f**2)*(-2*f + 2 - 2) + (-15*f**2 + 31*f**2 - 27*f**5 - 18*f**2)*(3 + 1 + 1).\nAnswer: -130*f**5 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*r - 3*r - 4*r)*(2 - 2 + 2*r) - 2*r**2 - 2 + 2 + (-r - r + r)*(3 - 3 + 2*r) + 2*r**2 + 2*r**2 - 3*r**2)*(46*r - 46*r + 3*r**2).\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 + 187. Solve 4*m = -2*r + t, 0 = 5*m - r + 3*r - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 (base 5) in base 10?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20641919, 41283875, 61925829, 82567781?\nAnswer: 103209731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -480.2 - -480. Let w be ((-58)\/18 - -3)*-654. Let j = w - 144. What is the second smallest value in -0.3, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86 + 17 - 27 + 69)*(36*k - 99*k - 80*k) to the form j*k + f and give j.\nAnswer: -20735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43933\/910 + -483\/10. Which is the fourth biggest value? (a) l (b) -0.3 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*(n\/((n\/(n\/(n**(1\/44)*n*n)))\/n))\/n*n)*n\/(n*n\/((n**7*n)\/n))*n*n assuming n is positive.\nAnswer: n**(353\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r + 9 - 26 + 2*r**2 - r**2 + 10. Let p(z) = -z**3 - 9*z**2 - 6*z + 11. Suppose 4*m = -n - 28, n + 4*m + 13 = 3*m. Let w be p(n). Calculate y(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 390*n**2 + 2*n + 1. Suppose 11*q = 12*q + 1. Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -2441217424.\nAnswer: -2441217423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35755, -35746, -35731, -35710, -35683, -35650?\nAnswer: -35611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4942 and 931230944?\nAnswer: 4942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 17*g + 92. Let w be i(-12). Suppose 40*y - w = 32*y. What is the least common multiple of y and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5. Let v(c) = -c + 6. Let y(z) = 4*l(z) + 3*v(z). Let f be y(-7). What is the highest common factor of 171 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/9, -0.5, 2\/9, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/15))\/x*x*x)\/(x\/((x\/x**(-2\/21)*x)\/x)))**28 assuming x is positive.\nAnswer: x**(312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 953\/4 - 495\/2. Calculate the common denominator of d and -97\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 3*n**2 + 1 + 0*n**2 + 0*n**3 - 3*n**3 as x*n + p + q*n**2 + k*n**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwowuwowww. What is prob of sequence www?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - 151*o.\nAnswer: -151*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -3042?\nAnswer: -3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4257 - 0.9257. Let z = -173\/114 - -1\/57. Which is the closest to -6? (a) z (b) g (c) 1\/8 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -13, -80, -205, -406, -701?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598536 by 306.\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 14*q - 49*q = -4551442. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2798, 5598, 8398, 11198?\nAnswer: 13998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 8337258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*t - 124 + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3231221133 (base 4) in base 7?\nAnswer: -11162631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2. Let q(n) = -3*n**2 - 293. Calculate r(q(d)).\nAnswer: -27*d**4 - 5274*d**2 - 257547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6233844 is divided by 235.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s + 2. Let j(c) = 2*c. Let r(b) = 72*j(b) - 4*v(b). What is the derivative of r(p) wrt p?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -51 - 47) + (-5 - -70)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 280138888 divided by 3686038?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12562 and 74492.\nAnswer: 42534932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 1, i: 4, z: 2}. What is prob of picking 1 a, 1 x, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/10 + 254\/10 - 1. Suppose 3*p - 5 - u = 0. Suppose 0 = -p*x + x + 27. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2119*n**2*v - 286*n**2 wrt v?\nAnswer: 2119*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 2*p**2 + 22. Let s be (5\/(-45)*0)\/(2 + -1). Determine g(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 6. Let d(a) = -5. Calculate 3*d(j) - 2*w(j).\nAnswer: -2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 3*p)*(-109 - p**3 + 5*p + 109).\nAnswer: -p**4 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*d + 96, 126*g = -8*d + 123*g + 150. Calculate the lowest common multiple of d and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.9 + -0.9. Let f = -2 + q. Let o = f - -1. Sort 0, 0.1, o in increasing order.\nAnswer: 0, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.43626 rounded to zero decimal places?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 + 11*h - 2)*(4 - 3 - 2) to p*h + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4599)\/168*2552\/(-957)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 866956, 866946, 866928, 866902, 866868, 866826?\n\"Answer: -4*m**2 + 2*m + 866958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -32103 and -32293 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1184 and 5071072?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2013 + 300?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/494)\/(33261\/(-210653))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -35, -5, -8\/3, 5, 19?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8)**(-7\/12)\/(l**(-31)\/((l\/l**31)\/l)) assuming l is positive.\nAnswer: l**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 95?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19457770 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-26) + (-4272)\/(-1157). Solve 5*f + 16 = -4*a, 3*a - 2*a + d = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 4. Let u be x(0). Let f be u\/(-3)*(-15)\/120. Which is the smallest value? (a) f (b) -3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)\/x)\/x*x**(-2\/15))**(-28)*(x**2)**(-5\/3)*(((x\/x**(-5\/3))\/x)\/x)\/x**(-6) assuming x is positive.\nAnswer: x**(2626\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*-1*6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (40 + -11 - 20) + 0 + 5 + -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.05804 millimeters in micrometers?\nAnswer: 20058.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-102)\/((-6)\/(-14) - (-300)\/(-210)). Let q = -100 + z. Determine l so that 3\/2 - 1\/2*l**q + l = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 421020 and 467800.\nAnswer: 4210200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.5 (c) 4 (d) 4\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(10\/(-2))*2\/(-40)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**3 + 2*x**2)*(-36 + 58 + 16).\nAnswer: -38*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2047*r - 883*r + 87897 = -261851 - 48732 for r.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 332908031 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165321 and 141336.\nAnswer: 199707768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/180)\/((6\/10)\/(11\/(-55)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380232 and 684?\nAnswer: 7224408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.423 + 13.42298268. Round f to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*m - 50 = -131*m. Let j = m - 24. Which is greater: -4\/85 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 13. Let g(w) = -36*w - 9 + 16*w + 19*w + 9. Determine f(o) - 4*g(o).\nAnswer: 2*o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 2*v = -12*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 < 5074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1867.2 + -1791.49. Let p = -2 + 80. Let s = f - p. What is s rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(((sqrt(1900) + -2)*-5)**2*-2 + ((sqrt(1900) + (sqrt(1900) - (sqrt(1900) + 0 - sqrt(1900))) + sqrt(1900) + -5)*-4)**2).\nAnswer: -2145600 + 33600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/23119 and 79\/2?\nAnswer: 46238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7236.781378 rounded to one decimal place?\nAnswer: -7236.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(39))\/sqrt(3) + sqrt(52)*-4.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 100*x - 664. Determine c(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/419 or 1097\/4?\nAnswer: 1097\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42395, -0.641, -3?\nAnswer: -42395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-438)\/(-14) + ((-40)\/35)\/4. Let y be g\/(-11) - (-6)\/(-33). Let q(w) be the second derivative of w**5\/20 + w**4\/12 - 2*w**3\/3 - 4*w. Give q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 1\/8*o**4 + 1\/2*o**3 + 0 + 6*o**2 + 0*o + 1\/30*o**5. Let i(w) = -3*w**2 - 4*w - 4. What is -4*g(c) - 3*i(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 186*d + 551. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5 - 3*l - 10 - 3*l - 6. What is the units digit of k(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/37120*(-16)\/24*-6?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2. Let l(z) = 4*z - 4 + 4 - 3*z - 4*z**2. Let w = 44 + -46. Determine w*m(p) - l(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 422544427 rounded to the nearest ten thousand?\nAnswer: 422540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) + 152\/48\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 16 = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 7845.6\nAnswer: 39228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 10*z = 240. What is the common denominator of z\/96*392\/(-20) and 47\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, d: 5, i: 5, q: 2}. What is prob of picking 1 v and 2 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgidtixg. What is prob of picking 1 s and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 6*z + 18. Let s be l(-5). Let m be -5 - (0 - 6)*s\/24. What is the highest common factor of m and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + (5 - 7). Let v be w\/(-93*(-1)\/3). What is the nearest to -0.1 in 1\/2, 2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2313 is divided by 196?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*n - 32*f + 27*f, 0 = -3*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 116. Suppose l - 51 = -u. Let a(k) = k**3 + 8*k**2 + 13*k - 1. Let d be a(l). Solve 14 = -d*b - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*j + 532 = 46*j. Which is smaller: -163\/11 or j?\nAnswer: -163\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 26*o + 40. Determine p(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + o + 4*o)*(o**3 - 6*o**3 + 2*o**3) - 2*o**4 + 2*o**4 + 2*o**4 to the form i*o**2 + d*o + s + x*o**3 + v*o**4 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 + (-472)\/32 + 18\/(-8)*-1. Which is the nearest to -0.1? (a) -2 (b) p (c) 1130 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d**3 + 2*d**2 - 1. Suppose 3*z = 3*f - 12, -4*f - z = -2*f - 14. Let k(u) = u - 7. Let p be k(f). Is 7 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1525*g*s**4 + 6*g*s**2 - 28*g*s - 10*s**4 + 138*s**3 + 261596*s wrt s?\nAnswer: -36600*g*s - 240*s + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 14, 31, 54, 83, 118?\n\"Answer: 3*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(3*1*(-2)\/3). Suppose -8 = -2*p + 4*n, -3*n = -2*p - h*p + 7. Put -3, -19, p in decreasing order.\nAnswer: p, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22639191 - 6927598621\/306. Let t = -245 + 37483\/153. Let u = t - x. Calculate the common denominator of -119\/10 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 7*k - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 2 (c) 0.5 (d) -3\/77 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305\/7 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 25*t**2 + 5*t + 5. Let d(m) = 25*m**2 + 4*m + 4. Let f = 2850 - 2846. Determine f*r(l) - 5*d(l).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 2*m + 136704, 3*m = -2*l - 273394. What is l rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (41 + -38 - (-3 + 2)) - (2 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/sqrt(252) - sqrt(49))\/(2*((sqrt(7) - sqrt(28)) + sqrt(7)) + sqrt(7)) + sqrt(448)*2 + -3 + -4*sqrt(7).\nAnswer: -3 + 67*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:57 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -61\/3 (b) 0 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 210b - 1?\nAnswer: 210a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -2\/5, 2\/27, 3, -2, 5\/3 in decreasing order.\nAnswer: 147, 3, 5\/3, 2\/27, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -86. Calculate the remainder when o is divided by (-3)\/(-3)*17 - 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 33 = -0*l - 5*z, -3*l + 4*z = 26. Let p = 29 - 30. Sort l, p, 2 in descending order.\nAnswer: 2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -317 + 322 + 2*o**2 + 0*o**2 in the form y*o**2 + z*o + d and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + 16.12. Let k = l + -15. Which is the third biggest value? (a) 3 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8176 or -8178?\nAnswer: -8176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**3 - 6*c**2 + 2*c + 1. Suppose 0 = -10*o - 7*o - 51. What is the remainder when m(o) is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2700 + 2704. What is the fourth smallest value in w, 1, -5, -1.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let q be (-4)\/(-3 + i) - -15. Solve -q = -4*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133967 divided by -3605\nAnswer: 133967\/3605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/144*16\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -731?\nAnswer: -731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5766, 5751, 5732, 5709?\nAnswer: 5682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 424*c**5 - 2*c - 301 wrt c?\nAnswer: 8480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24.714 * -0.0813\nAnswer: 2.0092482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2141, 3456, 4773, 6092, 7413, 8736, 10061?\n\"Answer: x**2 + 1312*x + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.73 + -241.33. Round d to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/4*y**4 + 2*y**2 + 2\/3*y**3 - 1\/60*y**5 + 0*y + 0. Let d be f(-3). Calculate the highest common divisor of d and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 18. Suppose w*p = 3 + 6. Solve -2 = -k + p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 57772*y\/3 + 57770\/3.\nAnswer: 2*(y - 28885)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/21)\/((-41)\/14 - -3). Suppose 4*w = 4*h + v, 4*h - 1 = 4*w + 5*h. Suppose 0 = -5*r, 0*k = 4*k + r - 12. Put k, -2, w in increasing order.\nAnswer: -2, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*z = -7, 6*z - 7*z + 2 = q. What is the nearest to 0.1 in 2\/39, 2, q?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i**3 - 11*i**2 + 9*i - 12. Let u(b) = 4*b**3 + 6*b**2 - 5*b + 6. Calculate -6*c(r) - 11*u(r).\nAnswer: -2*r**3 + r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -4\/3*t**3 + 0*t + t**2 + 4. What is the second derivative of d(q) wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.33 times 19789?\nAnswer: 46108.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/12)\/(4\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 141.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*c - 4365 = 93*c - 751 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (176\/(-24))\/(4\/(-6)). Suppose -3 = 6*x - 21. Let u be 8*6\/x + -5. What is the greatest common factor of u and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 25 = 3*p, -2*i + 17 + 18 = 5*p. Let z = 0.5 + -0.9. Let v = 240 + -245. What is the second biggest value in p, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 15429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8 - (-1468)\/16)\/45 and 67\/66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-7\/3)\/a)*a*(a\/(a\/a**7))\/a*a**(-12)*a*a**(-7)*a)**(9\/4) assuming a is positive.\nAnswer: a**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-272)*(-44)\/(-924)*112?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 4. Which is the second smallest value? (a) -0.4 (b) -1\/14 (c) v (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -17.8.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z + 16. Let t be r(3). Let j be (5*-1)\/((-3)\/(-6)). Let o = j + t. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1719*l - 15132 = -458*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 365 + -920. Let i be j*-2*(-25)\/(-10). Let v = -27719\/10 + i. Find the common denominator of -64\/9 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*b + 18, -137*b + 142*b - 29 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + 6666708271386?\nAnswer: 6666708271385.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 57 = -3*o, 146*u - 18 = -o + 148*u. Solve 3*b + 16 = -j, -o = 5*b + 4*j + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:57 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110.285519 and 3.\nAnswer: -330.856557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 10. Let v be t\/((-8)\/12)*-1. What is the common denominator of -121\/20 and v - (-1 + 134\/(-16))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - ((24 - 10) + -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 + 8) - 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3*h + 34. Give x(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k**6 + 1444838*k**3 + 5*k**2 - 30060*k + 12 wrt k.\nAnswer: 1920*k**3 + 8669028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1896)\/(-1264))\/((-18)\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47902715 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = -5*i. Suppose k + i*s = 26, k - s + 5 = 19. 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 the nearest to -0.1 in 5, -10, 78, -4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(24)\/(-1*sqrt(1728)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/6)\/(-1))\/((-356)\/22*891\/648).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 61, 113, 153, 181?\n\"Answer: -6*c**2 + 70*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x = 45*x + 54. Solve -3*m + 4 = 4*y, -3*m = x*y - m - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let d be 3\/12*20\/1. Let t be ((12\/d)\/4)\/1. Is v equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 38. Let r be v(11). Suppose -r*y**2 - 55*y**3 + 40*y**5 - 3*y + 14*y**5 - 19*y**5 + 60*y**4 + 23*y = 0. What is y?\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(-1*(sqrt(112) + -3*sqrt(112))*-3 + 3))**2.\nAnswer: -1296*sqrt(7) + 36371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**7\/3780 + o**6\/1080 - o**5\/90 - o**4\/24 + o**2. Let b(h) be the second derivative of c(h). Factor b(j).\nAnswer: 2*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -398 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 26.944. Let t = -0.0591 - v. Round t to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*a**3*j**3 - a**3*j + 16*a**2*j**3 - 5*a**2*j + a wrt a?\nAnswer: -288*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -1967106\nAnswer: -50\/983553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 33*h**2 + 4625*h + 1030. Let z(o) = 65*o**2 + 9253*o + 2062. Let p(n) = 7*a(n) - 3*z(n). Factor p(s).\nAnswer: 4*(s + 128)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 21, -221, -479, -759?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*f**4 - 348*f**3 + 229*f**2 + 780*f + 196 = 0. What is f?\nAnswer: -1, -2\/7, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Let m = 17.7 - 25.7. Let z = m - o. Is z smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-532)\/(-57)*6\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -49, 10 in increasing order.\nAnswer: -49, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -157, -277, -433, -619, -829?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -679260, -5434271, -18340734, -43474377, -84910928, -146726115, -232995666?\nAnswer: -347795309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9513.188 decades?\nAnswer: 1141582.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 130033?\nAnswer: -130030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*k*q**2 - 9*i*k*q + 81*i - 191*k*q**2 + k + 19 wrt q?\nAnswer: -2*i*k*q - 9*i*k - 382*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(-9)\/(-27)*(-11 - -5). Solve 31*d + 33 = z*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45962 by 6566.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + -1 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36655190 rounded to the nearest 10000?\nAnswer: 36660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 15*g + 50. Calculate the remainder when 4\/((-1)\/(-40)*2) is divided by m(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21800 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/18)\/(h*h**19) assuming h is positive.\nAnswer: h**(-361\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 780*i**2 + 781*i - 966. Calculate u(194).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6892 is divided by 1439.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 49*y + 96*y - 47*y + 6*y**3 - 6*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1635 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + i**2 - i - 2. Let q be h(2). Suppose -35*l + 14 = -2*w - 37*l, w = -2*l - 2. Are w and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4 + (5 - 1 + 0)*(-2 + 1 + 0) + 3 - 5 + 4)*(-5*n**2 + 109 - 109) - 2*n**2 - 2 + 2 + (-n + 3*n + 0*n)*(5*n - n + 0*n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2892946706 - 0\nAnswer: 2892946706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/((-26)\/(-6552)*12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 y when four letters picked without replacement from yyyxkyxkyaaa?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, 0.4, 0, -0.3, -8330.\nAnswer: -8330, -0.3, 0, 1\/26, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 k when four letters picked without replacement from {t: 6, k: 8, q: 3}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141*c**2 - 19*c**2 - 490*c**2.\nAnswer: -1650*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6928.4 * -1.106\nAnswer: -7662.8104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -259*t**5\/30 + 321*t**3\/2 - 20*t**2. What is the derivative of n(d) wrt d?\nAnswer: -1036*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/20 + (-46)\/(-8). Suppose z*h = 4*h - 660000. What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 - 26. Let g = a - -99. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 + 7*u - 9. Let h be v(2). Let w be 110\/h*46\/(-345) + -2. Which is the closest to 0.1? (a) 0.01 (b) w (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from ptpppppkp?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t = -36*t - 2*r - 4, t - 2*r + 2 = 0. Let j be (-5 - (-9)\/t)*(2 + 6). Let q(c) = 1. Let i(u) = 7*u**3 - 4. What is j*q(z) - i(z)?\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t. Let o(x) = x + 2. Let w be (-30)\/75*5\/(-2). Let q(v) = -3*v - 4. Let l(z) = w*q(z) + 2*o(z). Calculate p(l(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(2\/5)*b)\/b*b)**28\/((b*b**(-2\/5)*b)\/b**(1\/15)) assuming b is positive.\nAnswer: b**(197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2205?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 512a924 (base 11) in base 13?\nAnswer: 1b53c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 32, 1, 400, 5 in descending order.\nAnswer: 400, 51, 32, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 296624 from 1930.8.\nAnswer: -294693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3116650 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d - 150. Let m = d - -37. Suppose 0*h = m*h - 42. Solve -3*j + 5 + 21 = 5*z, -h = -3*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - (-35 - -83)) + -21.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 + -1 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -263, 0, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r - 144 = 63*r. Suppose 18*d = r*d + 30. Put d, 26, 4 in increasing order.\nAnswer: d, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfr when three letters picked without replacement from rgrkqfk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-780)\/(-18) + (-216)\/648\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 6*k - 66 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 + -10?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1523 - -22661\/140116. Calculate the common denominator of 17\/68 + ((-194)\/(-40) - 1) and g.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265256809, -265256807, -265256805?\nAnswer: -265256803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 657 divided by 73\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-23 + (-28 - -12) + 3)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -39. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76596.\nAnswer: 2, 3, 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*m + 418 = -2710 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 6*r**5\/5 + 821*r**4\/5 - 989*r**3\/5 - 3146*r**2\/5 + 772*r - 552\/5 = 0.\nAnswer: -138, -2, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -34854 not equal to -34996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 17. Is 16\/104 + (-1192)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64101500 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -5 + (-10 - (2 + 7 + 11))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 24\/(-9))\/(-5*(-11)\/(-165)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2711 and 2712 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192 + 191.882. Let o = l + 0.318. Let g = 4.87 + 0.13. Which is the smallest value? (a) 0 (b) o (c) -0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 15 - 47. Suppose g - b = -g. What is the smallest common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kuuuukkkuuuku.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.15 - -54.85. Let m = 55.858 - q. Let f = -0.14111 - m. What is f rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27013241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 237. Let s(p) = 8*p. Determine s(z(m)).\nAnswer: 32*m + 1896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -139, -128, -101, -52, 25, 136?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1100)*-2 + sqrt(1100).\nAnswer: -10*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, -0.5, -26, 1, 111, 37?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o - 4*o)*(o**3 - 94*o + 2 + 94*o) - 21*o + 18*o - 1689*o**4 + 2996*o**4 as y + l*o + p*o**2 + h*o**3 + v*o**4 and give v.\nAnswer: 1305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 5 (c) 12 (d) -1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736\/1656*3*42\/(-36)*(-21)\/(-2891).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 29616*a**2 + 6 - 88850*a**2 + 29620*a**2 + 29619*a**2.\nAnswer: 5*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 i when three letters picked without replacement from {o: 2, e: 1, l: 1, i: 1, x: 1, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 2*r - 2. Let y(o) = -3*o + 1. Let i(f) = -y(f) - z(f). Calculate i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62\/(693\/(-225) - -3). What is the tens digit of -9*(s\/5 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7120550 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83a + 27?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2197 * -1.\nAnswer: -0.2197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from gcccncchc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 n, and 1 r when four letters picked without replacement from {g: 2, p: 1, q: 1, n: 3, r: 3, v: 7}.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, 7, 14141 in increasing order.\nAnswer: -3, 1, 4, 7, 14141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0\/1)*-1. Let d(x) = -3*x + 6. Let w be d(3). Let b(m) = -7*m - 3. Let j be b(w). Solve 4*o - j = 4*h + 2, h = u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1. Let d = 174 - 175. Put 0.1, d, q in decreasing order.\nAnswer: 0.1, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6 + (-14)\/4. Let s be 1 + (d - -1)*-3. Solve 3*b = -w + 13, -s*b + w = -0*w - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ccb + -5a8?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + q**2 - 3*q + (-1 - 5 + 4)*(0*q**2 - 2*q**2 + q**2) + (-17*q - 43*q + 17*q)*(-2*q + 0*q + 7*q).\nAnswer: -212*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -7. Let z = 7 - d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 5*w + 7*w. Let b(q) be the second derivative of -5*q**3\/6 - 7814*q. Give b(h(k)).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h - 898*h**5 - 51 - 28 - h wrt h?\nAnswer: -17960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f**(-3)))\/f)\/(f*f*f**(10\/9)*f))\/((f*f**(-6\/11)\/f)\/(f*(f\/(f\/f**27))\/f)))**(-31) assuming f is positive.\nAnswer: f**(-78058\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + (-48)\/8)*-1*1. Solve 2*o + 3*o + 5*v - 35 = b, 3*v = -5*o + 25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-8)\/432 + (-26)\/72. Which is the nearest to 0.1? (a) -1\/2 (b) 20 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 562 - 557. Suppose 0 = 5*a - i - 45, -55 = -5*a + i + 2*i. Sort -1, 2, a, l.\nAnswer: -1, 2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8612, -68281, -230240, -545633, -1065604?\nAnswer: -1841297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 965372.5 millennia in months?\nAnswer: 11584470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.535 rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 787757, 1575426, 2363095?\n\"Answer: 787669*s + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -3, 244\/7, -37 in descending order.\nAnswer: 244\/7, 1\/9, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let o(a) = 18*a + 12. Let j(c) = -3*c + 37. Suppose 27*r = 21*r + 72. Let p be j(r). Let k be (-2)\/(3 - p)*1\/1. Determine k*o(m) - 12*g(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 30 - (-5 + (-1 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 533 = c - 504, 5*x - 3*c = -25 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 660? (a) 7 (b) -3\/2 (c) 2\/5 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 12*l**2 - 3*l - 26. Let h be x(-12). Suppose 6*j + h = -8. Let z be j + (2 + 2 - -1). Solve -w + 6*w - z = r, -4*r = 3*w - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4832 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1746.0709 + -1746. Let q = g - -1.9291. Let z = 0.1 - 0. Which is the smallest value? (a) -2\/3 (b) -2\/9 (c) q (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 + -210.93. Round t to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -6, 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -13296.\nAnswer: 1\/6648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -3*u - 10*b + 143, -b + 160 = 4*u. Let z(f) = -f**2 + f + 5. Let p be z(-5). Let g = p + u. Solve 0 = l - 2*o + 4*o - 4, -4*l = 5*o - g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -144, -437, -924, -1605, -2480, -3549, -4812?\n\"Answer: -97*o**2 - 2*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 9 + 9 - 3*v + 3*v + 3.\nAnswer: v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3*a\/(a\/((a*a*(a**(-1\/5)\/a)\/a*a)\/a))*(a**1)**(-32) assuming a is positive.\nAnswer: a**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2308\/4191 - 2\/381. Let x be 3906\/(-155) - (-29 + 4). What is the smallest value in x, a, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 78 = -l. Let r = l + 38. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.24 - 6.24. What is the biggest value in -1\/4, 0.6, x?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -64 + (5 - (-10 + 5)) + (-15 - -15)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26421549 and 1617.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27160894?\nAnswer: 2, 103, 131849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41450)\/(-6200) - 7 - (-4)\/62.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 2:40 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114262226*d**2 - 8017048*d wrt d.\nAnswer: 228524452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205855902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 116*f + 125. What is the remainder when 49 is divided by g(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s)\/s**(-4\/9))\/(s\/((s**(-1\/9)\/s)\/s*s)*s**5) assuming s is positive.\nAnswer: s**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/2))**(13\/3)*(m\/(m\/(m\/m**(-3)))*m)\/(m\/((m*m*m\/m**3*m)\/m)))**(2\/23))**(26\/5) assuming m is positive.\nAnswer: m**(286\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 0*h**4 + 0 + 0*h**4 - 7*h**3 - 3 - h**2 to s*h**4 + q*h**3 + b + g*h + w*h**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x - 17*x + 0*x.\nAnswer: -75*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 67\/((-1)\/(0 + 1)) + -2. Let n = 63 + y. List the prime factors of (n\/8)\/(1\/136*-1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 - 153. Suppose -45 = -2*s - 4*z + 7, -z = 3*s - 58. What is the highest common divisor of o and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 287, 912, 1947, 3386, 5223, 7452, 10067?\n\"Answer: -w**3 + 211*w**2 - w + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10256 + 2550?\nAnswer: 12816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsdqqmaamqhq. Give prob of picking 1 s, 1 h, and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.5, 5, 2.1, -2\/181?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 156 = 56. Let y be (-45)\/n*(1 + 9). What is the highest common divisor of 126 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -63*b - 1635. What is g(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*u - 18*u + 1, -5*p - 25 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081258614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -160. Suppose -b - 100 - 531 = -4*o, 462 = i*o - 3*b. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = x, -4*x + x + 3*j = -3. Suppose -3*b + 4*m - 10 = -4*b, -3*b = -m - x. Solve -q - 3*t = -2*t, b*t = -q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -4\/5 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -255500 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 37. Let m be k(23). List the prime factors of 353\/3 + 3\/m.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/(3\/(-7))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010110 (base 2) to base 7.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4682, 4738, 4806, 4892, 5002?\n\"Answer: d**3 + 49*d + 4632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 49*x + 96 - 30)*(-5 + 2*x**2 + 5).\nAnswer: 98*x**3 + 126*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 3576924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*a**2 - 10907*a**4 + 40*a**3 + 10952*a**4 + 46*a**2 - 39*a**3 to the form l*a**4 + w*a**2 + z*a**3 + s*a + b and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/9 (b) 0.1 (c) 4 (d) 0.025 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 44 = -4*o - 5*j, -3*o - 2*j = 26. Let h(z) = z - 20 - 7*z**2 - 35*z**3 + z - 9*z + 34*z**3. Let g be h(o). Do -14 and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 26 = -3*m - 5*k, -5*m + 42 = 3*k. Let t = -8 - -17. Calculate the remainder when t is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143 and 104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3 = -4*w - 13, -w = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*u**2 - 360*u + 220*u**3 - 14*u**4 - 570*u**3 + 4*u**4 + 15*u**4 = 0.\nAnswer: -1, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764358654.\nAnswer: 2, 3, 37, 41, 79, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50083 and 326337?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**6\/180 + j**3 - 2. Let g(s) be the third derivative of b(s). Let q(a) = 5*a**2. Calculate g(q(z)).\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 + -4 + 2 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6008 and 9763.\nAnswer: 78104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 375640 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 17*q + 16*q - 47*q. Let i(z) = 15*z. Give k(i(b)).\nAnswer: -120*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -243, -746, -1249, -1752, -2255?\n\"Answer: -503*w + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30722)\/16*(-1)\/238. Let x = 1\/272 + l. Find the common denominator of (-265)\/(-30) - (-6)\/(-8) and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 0*j)*(j**2 + 1 - 1)*(-83*j + 6885 - 6885).\nAnswer: 83*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 + (40\/5 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 17*q**4 - 4*q**4 + 5*q**4 + 5*q**2 - 5*q**2 + (-2*q**2 - 3*q**2 + 3*q**2)*(-5*q**2 + 3*q**2 + q**2).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-1 + 1 + c**3 + (-5*c**2 + 2*c**2 + c**2)*(3*c + c - 3*c))*(21*c + 70*c + 11*c) in the form x*c**2 + w*c**3 + i*c + o*c**4 + h and give o.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 3.8. Let d = -4.1 - m. Let y = -0.22 - d. Round y to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -43, -129, -291, -553, -939, -1473, -2179?\n\"Answer: -4*d**3 - 2*d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 - -0.05. Let s = 0.18 + 0.11. Let p = 0.01 + s. Sort 2\/7, p, m in decreasing order.\nAnswer: p, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114044763 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753 times -4?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - 0) + -2 + 79 + (-37 - -19).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/36313 - -3667857\/4430186. Find the common denominator of x and 139\/1098.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22110122 (base 3) to base 4.\nAnswer: -1200131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - -28. Calculate the remainder when 159 is divided by o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8642 = -19*m + 16964. What is the remainder when m is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*w + 1066 = 0, w - 342 = -s + 6*w. Let b = -199 + s. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.853 + -0.553. Sort 5, -2, w, 40.\nAnswer: -2, w, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b**(-8))**(-26\/5))**(1\/8) assuming b is positive.\nAnswer: b**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 7861511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6720 + 67281\/10. Suppose -3*o + 6*o = 84. What is the common denominator of (2\/o)\/(4\/376) and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 505*x**3 - 3*x**2 - 20*x + 10. Let m(r) = 261*r**3 - r**2 - 8*r + 5. What is -2*b(g) + 5*m(g)?\nAnswer: 295*g**3 + g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -256 + 182. Let g = 219 + v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292705 - -155?\nAnswer: -292550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 872.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225\/4 + -56. What is the closest to -1 in z, -4, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 112. Let m = 63 - q. Find the third derivative of m*p**2 + 4*p + 7*p**3 - 4*p - 2*p**2 wrt p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -4*z, 5*q + z = -1146. Let i = q - -703. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*t**3 + (3*t - 2 + 2)*(-5591*t - 632*t**2 + 5591*t).\nAnswer: -1898*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*x - 0*x + 12, -5*x - 15 = 0. Let l be 114\/(r - 6\/11000). Round l to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - 5*g + 4. Suppose -38 = -24*n + 34. Suppose -4*z = -n*x + 46, -46 = -2*x + 3*z - 14. Calculate the least common multiple of x and q(3).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - d + 1. Let m be c(1). Let w be 4 + (m - 2 - 0). Suppose 16 = 5*a - v - 35, 60 = w*a + 4*v. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*h = 2, 0 = -150*d + 152*d + h - 0*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7*b + 5)*(0*b + b - 2*b) + 0*b**2 + b**2 + b**2 + (-2*b - 1 + 1)*(0*b - 9*b + b).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5 + 15. What is p in 2*p**5 - 13*p**5 - p**5 + 21*p**4 + 18*p**3 - 21*p**s - 6*p = 0?\nAnswer: -1, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5526199 or 1?\nAnswer: -2\/5526199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3 + 7 = 3*b, 0 = -2*c + 5*b + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 30*c - 132. Let z be u(6). Let l(g) = 154*g - 91. Is l(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u = 40*u + 51 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4669)\/4025*5\/(-145)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from jjjjjjjnnnjjnnjj.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o + 29. Let h(u) = 2*u - 10. Let y(p) = 8*h(p) + 3*k(p). Suppose 0 = -5*m - 8 - 17. Calculate y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 - 650 = -31*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 227? (a) 39 (b) 12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.23 (b) 0.09 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1041282 and 25542?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 23 = -21. Suppose 646 = m*h - 1400. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -434554200 to the nearest one million.\nAnswer: -435000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 610.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 8. Let p be i(-9). Suppose -5*r + p = -3*t, -2*r - r + 2*t = -16. Solve r*a + 6 = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -801 (base 10) to base 3\nAnswer: -1002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 5. Let v be u(-5). Suppose 6*p + 0*p - 60 = 0. Let x be 4\/p - 594\/(-165). Solve v = -h + x*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -20*b**2 + 70*b + 9. Let k(c) = -13*c**2 + 46*c + 5. Determine -5*i(n) + 8*k(n).\nAnswer: -4*n**2 + 18*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3909 or 3910?\nAnswer: 3910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 65. Let q be (2 - 18\/4)*284\/(-71). Let t = q + r. Calculate the remainder when t is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.4 (c) 12 (d) 0.46 (e) -1\/80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 59034700 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a + 15. Let t(l) = -12*l + 14. What is 3*b(f) - 2*t(f)?\nAnswer: -12*f + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + -29. Let w = 296 + o. List the prime factors of w.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**49*p*p)\/(p*p*p**15) assuming p is positive.\nAnswer: p**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9184 divided by -4?\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3335239048 - -0.2\nAnswer: 0.5335239048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q**2 - 33*q - 68. Let r(h) = -6*h**2 + 11*h + 23. Let o(j) = 3*k(j) + 8*r(j). What is the hundreds digit of o(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (sqrt(108) - (sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108) + 1)) - sqrt(108))*-5)**2 - -6*(1 + sqrt(108))*2).\nAnswer: -1440*sqrt(3) + 19620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, 2, -8 in descending order.\nAnswer: 103, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/14693 and -159\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11683\/8 + -1460. Which is the nearest to -64\/3? (a) o (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13558 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.14 (c) -0.833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/((-3)\/2). Let w = -1793 - -1790. Sort 4, w, t, -0.2 in ascending order.\nAnswer: w, -0.2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(-2\/133)\/((v\/(v\/(v**0\/v)))\/v)**(-3\/11)*(v**0)**(-1\/7)\/((v*v\/v**0)\/v)**(2\/49) assuming v is positive.\nAnswer: v**(-18166\/30723)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 21. Let m(g) be the first derivative of -g**3\/3 - 11*g**2\/2 + 31*g + 32. Let c be m(f). Solve c*j + 5 = u - 3, -4*j = -3*u + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8222 = -3705*f - 812 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c**4\/4 + 393*c**3\/2 + 2613*c**2 + 1014*c = 0. What is c?\nAnswer: -26, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-3)\/6*2). Let w = 11 - j. Suppose 0 = 4*d - 2*d - w. Solve d*o + 1 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -68*h**2 + 108*h. Let t(q) = -176*q - 69*q**2 - 152*q + 439*q. Let u(n) = -4*d(n) + 3*t(n). What is the second derivative of u(x) wrt x?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3246 - 48686\/15. Let h(u) be the first derivative of 0*u**2 + 0*u**4 + 0*u**3 + 0*u + k*u**5 - 22 + 5\/9*u**6. Suppose h(o) = 0. Calculate o.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454 + 909 - 2*o**2 - 455.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*j - 3905 = -1175 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + -1 - (-44 - -48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 3*m**2 - 8*m + 1. Let g be q(-4). Suppose -2 = p - 5. Suppose -2*r = p*r - 340. Calculate the greatest common factor of g and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -57*h - 14. Give l(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091208219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -22, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 - 5*f - 5. Let j(m) = -3*m**3 - 4*m - 4. Let y(p) = 3*p**2 - 4*p. Let k be y(2). Give k*o(d) - 5*j(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -5*k**3\/6 + k**2\/2 - 11*k. Let p be v(3). Let s be p + 18 + (-6)\/(-1). Calculate the highest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + -2*(sqrt(132) - (sqrt(132) + 3*sqrt(132)) - sqrt(132)))*-3)\/(sqrt(144)\/(1*sqrt(12))*6))**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 + -126.175. Let j = l - -1.132. Round j to two dps.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = 1450. List the prime factors of i\/15 - (-2)\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9691 + 28099. List the prime factors of n.\nAnswer: 2, 5, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 22*y**3 + 110*y**2 + 135*y + 688. Give d(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 120233202202?\nAnswer: 120233202141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -27*l**3 + 9*l**2 + 15*l + 10. Calculate i(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 16, 2*g - 5*q = -2. Suppose x = 4*x - g. Let d(o) be the first derivative of -o**3\/3 + 2*o**2 + o - 1. What is d(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 848*g**3 + 191*g.\nAnswer: 5088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = -14. Find the second derivative of k*j - 4*j**4 - 2*j**4 - 25*j + 2*j**4 wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let d(h) = -h - 2. Let v(o) = -5*o - 9. Suppose -w - 2*q + 1 = -3, -2*w + q + 3 = 0. Let r(j) = w*v(j) - 9*d(j). Determine r(k(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -48300604.5+-0.2781\nAnswer: -48300604.7781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 0*l - 26 - 37 + 18 - l to o*l + j and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3875559 and 38\/20427.\nAnswer: 42631149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by (-86)\/(-430) + (1 - (-238)\/10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 15*k**2 - 19*k - 32. Calculate m(-13).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 6*g**2 - 6*g. Let s be m(-5). Is 32\/5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**2*j*j)\/(j\/j**(-6)))\/(j**(3\/5)\/j**(1\/4)))**(-6\/5))**(-14) assuming j is positive.\nAnswer: j**(-1407\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 26*w**2 - 124*w + 18. Calculate s(5).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 39*u + 2434 = 0. What are the prime factors of u?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, -12484, 78, -3\/4?\nAnswer: -12484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-8))\/(8\/(96\/(-9)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3292368617.\nAnswer: 3292368617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4860\/(-1080))\/((-6)\/(-20)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 12, 322, -25 in decreasing order.\nAnswer: 322, 12, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 31*f**2 + 32*f + 15. Let w be v(-32). Solve -562*n + 559*n - w = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -284, -1, -44, -6 in descending order.\nAnswer: 5, -1, -6, -44, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 + 36024*b\/5 - 288384\/5.\nAnswer: 3*(b - 8)*(b + 12016)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 33. Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*m + 20, 2*m - 4*m - 10 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 less than -0.123?\nAnswer: -1053.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 22119282.\nAnswer: 66357846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*t + 2 + 11, 0 = -3*x + t - 13. Let c = 703 - 703.0504. Let w = 3.9496 - c. What is the smallest value in w, x, 3, 0.01?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-14)*(-139 - -265). Put -3, -2, p in increasing order.\nAnswer: p, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16ea - 4e?\nAnswer: 169c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -182\/712723 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/60)\/35*(-2)\/46*3?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**2 - h**2 + (164*h**2 + 156*h**2 - 104*h**2)*(0*h - h + 0*h) + 5*h**3 - h**3 - h**3.\nAnswer: -214*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccs. What is prob of sequence cs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1688*k**4 + 515*k + 902*k - 7537*k**3 + 7537*k**3 wrt k?\nAnswer: 20256*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 + -82?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*o - 125*o = 13490. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 501.7 + -502. Which is the second smallest value? (a) 5 (b) i (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:25 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 + 54*g + 16. Let l be w(7). Calculate the greatest common divisor of l and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*h**3*n**3*w**2 - 2*h**3*n**3*w - 24*h**2*n*w + 2*h*n**3*w - 5*h*n**2*w - 2*n**2*w**2 + n**2 - 2*w**2 wrt w?\nAnswer: 50*h**3*n**3 - 4*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 3 - (-2 - 1). Suppose 5 + 7 = u*h. Let k(i) = 4. Let v(z) = -5*z**2 + 5. Let n(f) = -6*f**2 + 6. Let t(y) = 4*n(y) - 5*v(y). Give h*t(q) + k(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 38*g - 2. Let v be n(-17). Calculate the highest common factor of v and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 5*r**2 - 3*r**2. Let x(h) = 17*h. Let g(y) = 3*y - 2*y + 4*y - y. Let t(n) = 26*g(n) - 6*x(n). Calculate l(t(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/(-1134))\/((-3)\/9) and 65\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 412 + -179. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6) + (-15)\/(-6). Suppose -3*b = -2*u + 11 + v, -u = 2*b. Suppose p = -i - 4*i + 64, u = p. What is the greatest common factor of 108 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34278 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (37 + -73 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - t + 15 + 19)*(-6*t**4 - 14 + 14 + (2*t + 1 - 1)*(t**3 + 0 + 0) - 6*t**4 - 11*t**4 + 16*t**4).\nAnswer: 5*t**5 - 115*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and 0.010137.\nAnswer: 0.993426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 244.01.\nAnswer: 237.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:44 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*n + 34, 6*n - 7 + 1 = 7*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = -3*c + 4, n + 2 = 2*c. Solve -2*y + 5*y + n*p - 17 = 0, 5*y = 4*p + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 137, 101, 41, -43?\n\"Answer: -12*m**2 + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2)\/(-3) - 1). Let m(x) be the second derivative of -x**3\/3 + 47*x. Let p(o) = 4*o - 1. Let z(y) = a*p(y) - 5*m(y). Give z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -9.\nAnswer: -53\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -17 - 23 - 19 + 119*d + 54. Is i(26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 3. Let r be w(-6). Suppose -4*y + l + 6 = r, -3*l = -15. Calculate the remainder when y is divided by (-16)\/(-10) + (-2)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73176 and 268312?\nAnswer: 804936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -655184*r**6 + 1565*r**2 + 3*r - 8.\nAnswer: -78622080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/23)\/(f\/f**(-1\/3)))\/(f**(-8)*f**4*f) assuming f is positive.\nAnswer: f**(109\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a hour in minutes?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/120 + z**4\/12 - z**3\/6 + z**2. Let b(d) be the first derivative of l(d). Find the first derivative of b(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -131, -273, -507, -863, -1371, -2061?\nAnswer: -2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.89 * 19\nAnswer: -149.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 316*w\/5 - 624\/5.\nAnswer: -2*(w - 156)*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 31. Let i = 17 + -24. Let r = l + i. Solve 3*a + 3 = 0, 3*j = a + 2*a + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 57*t**2 + 17*t + 5. Let a be k(-5). What is the second derivative of -h - 4 - 1307*h**4 + 3*h + a*h**4 wrt h?\nAnswer: 456*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2186303.202 rounded to the nearest 1000?\nAnswer: 2186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = 4*q. Solve 4*o = -q*s - s + 8, 0 = -s + 5*o + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 12) to base 10.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 54, 88, 122, 156, 190?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - 99.8. Which is the second smallest value? (a) 6\/7 (b) m (c) -6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*v**2 + 210*v**2 - 400*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 at most 69817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, 1, 3\/4, 3, -2\/5 in decreasing order.\nAnswer: 3, 2, 1, 3\/4, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5 - 7*y**3 - 8*y**2 + 5*y**3 + y**3 + 9*y. Let p be f(-9). Is p greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36396 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.039 + 0.071. Is x equal to -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1673*f**2 + 1548. Let l(g) = 1677*g**2 + 1547. Let h(a) = -3*l(a) + 4*w(a). What is the first derivative of h(o) wrt o?\nAnswer: 3322*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2\/2 - 100675*r\/2 + 2270250 = 0. What is r?\nAnswer: -20180, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (294\/(-30) - -13)*(-5)\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4234980 to the nearest integer?\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocoeoeopookco. Give prob of sequence ok.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1176 divided by 4.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3 + 4*r**2 + 4*r + 19. Let z(i) = 4*i**3 + 3*i**2 + 3*i + 19. Calculate 3*w(f) - 4*z(f).\nAnswer: -f**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c - 0*c. Let v(h) = 5 + 0 + c + h. Let r be v(-5). Solve 0 = 4*w - 4*g + 12, 3*w - 5*g + r = -4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and 7593935655873.8?\nAnswer: 7593935655873.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -4 + (-4674)\/(-11). Let m = k - 426. Let h = -4.2 + 4. What is the smallest value in -3, m, h, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208583?\nAnswer: 167, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 5*i**2 + 3*i. Let r(u) = -5*u**3 - 11*u**2 + 7*u. Calculate 4*r(j) - 9*y(j).\nAnswer: -2*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(3\/4)*((r\/(r\/((r\/(r**(-3)*r*r))\/r)))\/r)\/r*((r\/(r\/(r\/(r**(-2\/19)\/r))*r))\/r)\/r**1 assuming r is positive.\nAnswer: r**(-125\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 29*g - 125. What is t(6)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.2 (b) -0.5 (c) -2 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*y + 45 = 0, -4*k + 2*k + 4*y + 34 = 0. Suppose k*a - 10*a - 3 = 0. Let d = 32 - a. What is the greatest common factor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0.49898326727954\nAnswer: -2.50101673272046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + -1 + sqrt(320) + -5)*4)**2.\nAnswer: -20736*sqrt(5) + 57744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 + 0 - (-104 + 112)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*d - 14, -t = -2*d - 7 + 1. Let m be d\/(-5)*40\/2. Suppose -5*x = i + m, 0 = x + x + 4. Solve -2*u + q - 3 = 0, 2*q + i = 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/90 + (-20)\/9. Let t be (x - -1)\/(3*5\/(-30)). Solve -4*b = 4, -b = -0*g - g - t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366452817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 3983*n**6\/120 + n**5\/30 - n**3\/3 + 42*n**2. Is l(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/28 + (-17042)\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73.94094 decades?\nAnswer: 7.394094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -496, -989, -1648, -2473, -3464, -4621?\nAnswer: -5944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7\/56*194)\/3 and 46\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 + 0*s**2 - 2*s**3 + 0*s**2 - 5*s - 5*s**2. Let b(o) = -4*o**3 - 3*o**2 - 3*o. Give 10*b(y) - 6*v(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/77 + (-20)\/(-11). Let f be -5*-1*(-4)\/(-8). Are a and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -4\/135776995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42155599.\nAnswer: 157, 268507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 5326 = -5294 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/sqrt(160))\/sqrt(4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6 - 12236*c**5 + 313004*c**2?\nAnswer: 240*c**3 - 734160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/79 - -1768\/553. Let c = -24\/7 + d. Are c and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 13 = 7*v - 15. Let a(l) = 2*l**2 + 10*l + 10. Calculate a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -154. Calculate the remainder when o is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 28*z**3 - 12*z**2 + 12*z + 5. Let f(n) = 30*n**3 - 13*n**2 + 14*n + 6. Give 6*a(c) - 5*f(c).\nAnswer: 18*c**3 - 7*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*l = 0. Suppose 0 = w - l*w - 14. Calculate the least common multiple of 16 and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(1700) + (sqrt(1700) - (sqrt(1700) - (sqrt(1700) + 0)))**2 + -5 + (sqrt(1700) + 1)*6).\nAnswer: -1706 - 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(1456\/64)*63\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/20 + 13\/4. Suppose -4*l - 4*x = -21 + 1, -5*x = -2*l + g. Solve j - l = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9) + (-262)\/(-6). Let p = 33 - 64. Let s = m + p. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(2*k - 2*k - k) + 42*k + 199*k - 76*k as r*k + i and give r.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 2*u + 8. Let m be z(-3). Solve a + m = -2*f - 4*a, -3*f + 5 = -5*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eie when three letters picked without replacement from iziizzeiiziziiiziei.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1573)*1*2 + -5)**2.\nAnswer: -220*sqrt(13) + 6317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*k - 51460, -51425 = -7*d + 2*d + 5*k. What are the prime factors of d?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) -5 (d) -0.3 (e) 210\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-72 - 19 - -105).\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2 - 2*p - 5. List the prime factors of z(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -6662, 0.08, -2\/19, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1152 - -2771. Suppose -13*c = -j + 59. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 13*b - 1. Suppose -36*d + 34*d - 8 = 0. Let h be 2\/d*(-3 - (21 - -2)). Calculate c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -36. Let v(f) be the third derivative of -7\/24*f**4 - 1\/60*f**5 - 5\/6*f**3 + 6*f**2 + 0 + 0*f. Determine v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22832838*u**2 - 388825 wrt u?\nAnswer: -45665676*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**3 + n**2 + 74*n - 6. Let m(w) = -10*w**3 - w**2 - 59*w + 7. Determine -4*m(x) - 5*y(x).\nAnswer: 5*x**3 - x**2 - 134*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (8 + -6 + -14 + 21 - 11).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 4*q - 12 = 0, 0 = -2*h + 3*q + 20. Suppose -h*f - f = 5. List the prime factors of f*(-44 - (-3 - -3)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(10*12\/(-30))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 201*h - 395. What is the hundreds digit of y(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 4. Let v(h) = 8*h**2 + 11. Calculate -11*m(w) + 4*v(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-20)\/(-6) + (-323512)\/2996 + 98\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 5*t = -141*n - 689, -t - 9 = 3*n + 2 + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((1 - 3 - 4) + 2 + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/(-6))\/(84\/63 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - 28\/(-6). Solve 8*s = c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -11023?\nAnswer: -11045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:19 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4576 is divided by 1168.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 + 0*h**2 + 0*h**2)*(-25 - 35*h - 27*h + 64*h).\nAnswer: 8*h**4 - 100*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/7 + 1380*n**2\/7 - 4154*n\/7 + 396 = 0. Calculate n.\nAnswer: -693, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37\/3)\/((-22)\/(-21780)). Suppose q - 7*q = -w. Suppose -9*u = -4*u - q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 20. Suppose 5*r = -4*u + 18, -r + 0*r = y*u - 6. What is s in 6*s**2 - 6*s**2 + 5*s**r = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*g + 14, -g + a + 0*a + 4 = 0. Let x = -7 + 10. Let b = -56 + 64. Solve 0 = 2*r - x*t + 5*t - g, -2*r + t = -b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 2*c + 123. Let d be h(-11). Does 6 divide (-26)\/(-5) + (184\/d - -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*i**3*z**2 + 10*i**3*z + 1469*i**3 + 22*i*z**2 - 6*z**2 wrt z?\nAnswer: -80*i**3 + 44*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 4*n + 4, -n - 3 = 3*k. Suppose -4335*v = -4332*v - 6. Solve s = -n - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 - -84 - (9 + 9 + 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5, 4*s + 67 = -b + 3*s. Let j = 23 - b. Let n(m) = -5*m - 57. Let o be n(-19). Calculate the highest common divisor of j and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 749?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5984 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1835*t + 533*t + 212*t in the form m + u*t and give u.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22289053*v**5 + 145393*v + 49 wrt v?\nAnswer: -445781060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 386e6?\nAnswer: -386fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 287 = -3*t, -8*u = -3*u + 4*t - 1340. What is the remainder when u is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200.99919 + -201. Round z to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93573.5 + 93574. Let m = -0.2 - 0.1. Which is the closest to -3? (a) 3 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**5 + 4*t**5 - t**5)*(-3 + 2 + 2) + 5*t**5 + 0*t**5 - 4*t**5 + 26022*t**5 + 39084*t**5 - 47727*t**5.\nAnswer: 17382*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 13. Let n(c) = -c. Let q be n(-3). Suppose -7 = -q*l - 5*s + 10, 3*l - 3*s = 57. What is the least common multiple of g and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -455*p - 18648. Determine x(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -22*p + 282. Give k(9).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:45 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*n - 30. Let o = 5 + 2. Let w = n - o. Which is the nearest to -2? (a) 3 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, j: 2, b: 2}. What is prob of picking 2 j and 1 b?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s - 1. Let l be z(1). Let f = 2 + 0. Solve -2*b - 2*c = -3*c + 10, 10 = f*b + l*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5303 and 5.67.\nAnswer: -5297.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/19 + 1890*y**2\/19 - 447456*y\/19 + 445568\/19.\nAnswer: -2*(y - 472)**2*(y - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -0.11. Which is the third smallest value? (a) 0.4 (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661303800 rounded to the nearest one hundred thousand?\nAnswer: 661300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + 4*r + 1. Let h be 70\/(-12) - (-3)\/(-18). Let l = h - -3. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 58*k**3 + 222*k**2 + 18*k + 33. What is s(-4)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 12:50 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -220*l**3 + 7*l**2 - 6*l - 5. Let t(x) = 3*x**2 - 2*x - 1. Let u(a) = 2*g(a) - 10*t(a). Find the third derivative of u(d) wrt d.\nAnswer: -2640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-2)\/120). Let w = -16 - o. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) -128 (c) 13 (d) -2\/9 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124346909 rounded to the nearest 1000000?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 4 + 15*f + 16*f - 18*f to the form l + c*f and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946073 is divided by 204.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -53. Let k be (-60)\/s + 10\/8. Let r be 1 - 1*(-18)\/2. Solve r = -k*m - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 24*k**2 - 27*k - 12. Let b(j) = -j**2 + j + 1. Let i(v) = 15*b(v) + p(v). Determine x so that i(x) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 + 163 = -66*r + 783 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -80, -85?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(171)*3 + sqrt(171) + sqrt(171) + -3*sqrt(171)*3)\/(-3*sqrt(81) + sqrt(9) - 3*sqrt(9)*-3)*3.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from bgn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 4:07 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92621, 366830, 823845, 1463666, 2286293, 3291726, 4479965?\nAnswer: 5851010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 10) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 6:46 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 + 2*l - 2. Let h be f(-5). Let j = h - -25. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-40)\/78) + 134\/(-201)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26861016 divided by 1004\nAnswer: -26754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1399, 1317, 1179, 985, 735, 429?\n\"Answer: -28*o**2 + 2*o + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) + -2 - (sqrt(588) + sqrt(588) + 3)) + -1)**2.\nAnswer: 96*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + -7.88. Let p = 6 + f. Which is the third smallest value? (a) -1 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 - 204*x**2 - 1406*x + 105. Determine n(-32).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(8704\/24)\/8. Let s be 51\/n + (-6)\/16. Which is bigger: 4\/145 or s?\nAnswer: 4\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 91, 129, 153, 157, 135, 81?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 230*y + 41. Let t be o(0). Solve -62*n = -t*n + 63 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195 - 583\/3. What is the third smallest value in 3, -2, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023466 rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 656180 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-256)\/(-9600))\/((-9)\/(-300))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560) + (4*sqrt(2560) - sqrt(2560)))\/sqrt(8).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 19. Let l(o) = -6*o + 6. Let b(h) = -5*h + 5. Let z(v) = -5*b(v) + 4*l(v). Let j be z(4). Solve -3*n + u = j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 3*a - 3. Let r be s(-3). Let c be (-2)\/(-2)*r*2. Let i be 64\/(52\/(2 + 11)). What is the highest common divisor of i and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.33 times -0.01?\nAnswer: -0.1233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2906 + -2906.23. Which is the third smallest value? (a) 1 (b) -0.11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Put 3, 5, x in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 36. Give g(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*750\/(-100)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19\/11, -0.2, -1, -10, -2\/17, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097856037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6 and 11\/43587616?\nAnswer: 130762848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20360782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-7) + 171\/(-21). Let t = -6 - x. Which is the second biggest value? (a) -4 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62516231?\nAnswer: 23, 2718097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 24 = q, -3*r + 0 = -q - 8. Suppose -3*p - j = -0*p + 73, q*p + j + 96 = 0. Let h = -7 - p. What is the remainder when 46 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 31. Let a(t) = 3 - 4*t + t + 0*t + t**2 - 6*t. What is the tens digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-12)*(2 - 15\/3). Suppose 3*n - 2*z + 62 - 829 = 0, -i*n - 3*z = -1310. What are the prime factors of n?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115.6 + 115. Let d(v) = v**3 + 7*v**2 + 6*v + 1. Let r be d(-6). Let t be ((-3)\/(-12)*-2)\/r. Which is the third smallest value? (a) 3 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/(-10) - -3)*-2*-5. Determine z, given that -z**3 - 4*z**4 + 52*z - i*z**3 - 2*z**3 + 2*z**3 + 24 + 28*z**2 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -13*a - 88 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 3*t + 3. Let i = -42 - -45. Suppose -2*y + i - 13 = 0. Give w(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*s + 57*s - 28*s)*(1 - 4 - 1) in the form d + k*s and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 141, 130, 135, 162, 217?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 16828.\nAnswer: 33656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r\/(r*r**(14\/3)*r)))\/r*r)*r**(2\/5))\/(r**(-1)*r\/r**7) assuming r is positive.\nAnswer: r**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332*72\/(-2592) + 850\/(-22)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -7. Let q(x) = -5*x**3 + 11*x - 8. Let i(k) = -2*k**3 + 4*k - 3. Let z(c) = n*q(c) - 11*i(c). What is the first derivative of z(u) wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -2*q. Let w = -839 - -834. Sort 2, q, w in ascending order.\nAnswer: w, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 596 - 597.5. What is the nearest to 0 in -2, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/41)\/(4\/20)*21\/12040*4?\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 727.31212*-0.01.\nAnswer: -7.2731212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, 53 in decreasing order.\nAnswer: 53, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*c - 2*c. Differentiate -16*o**3 - 1 + 12*o**c - 8*o**3 + 7 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -3, -9, -7, 9, 45, 107?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 51*f**3 - 95*f + 147*f + 2 - 48*f in the form i*f + d*f**3 + r + y*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -178 = -2883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5 - 0. Suppose -3*s + 4*g = -d, 5*s + 2*g - 17 = -0*g. Suppose -q = 3*q - 4. Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 - 2*u**2 - 3*u - 7. Let d be l(4). What is the units digit of d\/4 - 17\/68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*b - 15 - 3, -4*c + 2*b = -10. Let g(t) = t**2 + 4*t + 3. Let l be g(-3). Suppose l = f - 12 + c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 8*m**2 - 42*m + 2. Let q be s(-5). Let p = q - 135. Solve 0 = -4*r - h + 21, 2*h = p*r - 2*h - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6 - 9. Let d = -16 + 33\/2. Which is the nearest to d? (a) -0.3 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - v + 2. Let a be d(0). Suppose -5*l - 1588 = -a*j, -5*j + 5*l = -0*l - 4000. Is 41 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:46 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r + 60. Let k(o) = -o**2 + 6*o - 65. Let p be k(17). Let x = p - -257. Calculate the highest common factor of r and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = 1. Let b(k) be the first derivative of -4*k + 5\/2*k**2 - 6. Let m(h) = -h + 1. What is y*b(j) - 4*m(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.838 + 4.162. Let p = 3.44 - 3.84. Let d be -4*(-2)\/84*3. What is the closest to d in p, -2, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2)*-3)**2 + 5.\nAnswer: -108*sqrt(13) + 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 26*g - 5215. Suppose -139 = 9*u + g. Which is smaller: u or -22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583230503?\nAnswer: 583230503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1962 divided by -327?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570734, -1141320, -1711904, -2282486, -2853066, -3423644?\nAnswer: -3994220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10111*k**4 - 9170 wrt k.\nAnswer: 40444*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + p = 12 - 30, -3*p + 1 = -y. Suppose 147 = -0*j + 7*j. What is the remainder when j is divided by 2\/(-1) - (y + -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -2 in descending order.\nAnswer: -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64419 * 59.4.\nAnswer: -3826488.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035 to 6 decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - 70 - (21 - -2)) + 68.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17019 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85, 70, 49, 22, -11?\n\"Answer: -3*o**2 - 6*o + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0 - 1\/4*u**4 + 0*u**2 + 0*u**3 - 2*u. Let g(d) = d**2 + 3*d**2 - 2*d**2. Determine v(g(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905*i**3 + 2441*i**3 - 253*i**3 - 798*i**3.\nAnswer: 3295*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 3*o**2 + 3*o - 3. Let s be v(3). Let w(i) = 13*i**2 - 45*i - 220. Let a be w(-5). What is the highest common factor of a and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + -1 + -5 - (-4 + sqrt(612)*1)**2.\nAnswer: -634 + 53*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*o - 1298 = 2 + 1950 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9888, 39450, 88730, 157734, 246468, 354938, 483150, 631110?\nAnswer: 798824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-21)\/((-6)\/(-2)). Differentiate -7 + 4*c**d + 0*c**4 + 3 wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 2. Let m(k) = 26*k**3 - 7*k - 3. Let b(q) = m(q) - 2*v(q). Let i(l) = 10*l**3 - 2 - 2*l - 3*l**3 + 0*l. What is -2*b(n) + 7*i(n)?\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -181750 to the nearest 1000.\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1. Let z(t) = -t**2 + 6*t - 4. Let j(o) = k(o) + z(o). Let f be j(6). Let q be ((-2)\/(-4))\/(f\/4). Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -62, -95, -128, -161, -194?\n\"Answer: -33*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -43*f - 338. Let z be i(-8). Let x be (-13)\/3 - ((-32)\/6 + z). Which is the biggest value? (a) x (b) 2\/9 (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d + 64*d + 72 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/126 and (-88)\/(-315) - 56\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -546, 2437, 5492, 8655, 11962, 15449, 19152?\n\"Answer: 6*c**3 + 2941*c - 3493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1. Let u(n) = 50*n**2 - n - 2. Let r(z) = 2*g(z) + u(z). Let p(l) = 49*l**2 - 2*l - 3. Let h(d) = -3*p(d) + 4*r(d). Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 11. Let o be -157 + -1 + 1*2. Is -5*(o\/l)\/(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/2 + 1\/2. Suppose h = -c - 2*c + 242, -3*c + 230 = -5*h. What is the units digit of (6\/4)\/(y\/c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*c**3 + 397*c - 397*c)*(179 - 164 - 146) to x*c + y*c**3 + p*c**2 + o and give y.\nAnswer: -6026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**8\/2240 + j**6\/240 - j**4\/32 - 4*j**3\/3 + 3*j. Let v(q) be the second derivative of n(q). Factor v(f).\nAnswer: -3*(f - 1)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -326 + 374. Let k be (-72)\/p + (-6)\/(-4). Solve s = -k*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*s - 501168*a**2*s**3 - 14923120*s**3 with respect to a.\nAnswer: 3*a**2*s - 1002336*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -65, -214, -505, -986, -1705, -2710, -4049?\nAnswer: -5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.917 + 22. Round d to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3099 = 54*a - 58*a, 5*a - 2*c = 3890. What is the highest common divisor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.053.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 4. Suppose 0 = 2*o - q - 1, -5*o + 9 = -2*q + 4. Let x(a) = -2*a + 2. Let b(g) = -1. Let j(d) = -3*b(d) + x(d). Give o*s(r) + 2*j(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k + 3. Let c = -14 + 21. Let v be h(c). Suppose 0*s - 3*s + v = -2*y, 4*s - 81 = 5*y. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/7 + (-1)\/(2\/8). Which is the closest to 1? (a) s (b) 3\/4 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:18 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7876232 and -17598?\nAnswer: 7858634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = -3*s - 4, 5*d + 4*s - 3 = 0. Suppose -k = -x + d + 6, -x = k - 19. Calculate the remainder when 39 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x - 1. Let h be r(-8). Let k = 115 + h. Suppose 204 = 2*n + k. What is n rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4882543 (base 9) to base 8.\nAnswer: 12074602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/4 + 11551*c**4\/4 - 2886*c**3 - 17326*c**2 + 11548*c + 23100 = 0. Calculate c.\nAnswer: -2, -1, 2, 11550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1533 (base 6) to base 4\nAnswer: 12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 220*h + 21. Calculate d(-1).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 416677727180.742 - 416884644857.742101. Let x = 206917835 + v. Let u = 158 - x. What is u rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4866 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**2 - o + 5. Let p(g) be the second derivative of -g**4\/3 + g**3\/6 - 3*g**2\/2 - 11*g. Determine 5*p(r) + 3*t(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 9*w - 15. Determine m(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Suppose 0 = 5*s - 33 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 0*z + 2*z)*(6*z - 3*z + 0*z) - 3*z**2 + 4*z**2 - 2*z**2 + (-z - 2*z + 0*z)*(4*z - 2 + 4 + 0).\nAnswer: -19*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/6, -2\/3, -21, -2\/19, 5, 6\/7, -1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - -6) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/2615 (b) -30 (c) 4 (d) 12 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 + 3 = -4*z, q = -2*z + 2. Suppose 2*i + 3*i = -q*w + 380, i = -w + 73. Let k = i + -43. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3 = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0213 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 971, 1958, 2945, 3932, 4919?\nAnswer: 5906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 2 l when four letters picked without replacement from lnodod?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**3 + 12*d**3 + 48*d**3 + 17*d**3.\nAnswer: 58*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 106232*i - 1 = -106240*i, 2*i - 14 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -29. Is 4 - h - 77*-11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let r be (-4 + (-99)\/(-6))*2. Suppose r - 100 = 5*p. Let c(h) = -18*h. Calculate p*m(b) - c(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(0 - 2*v + 0)*(v**2 - 2*v + 2*v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4555148 and 780.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3500195 divided by 251.\nAnswer: -13945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57*(1 - ((-4)\/(-6) + -1)). Let s = -72 + 262. What is the greatest common divisor of z and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 543115\/212 + -10245\/4. What is the common denominator of v and -95\/8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 236352027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 67. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 573 or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2092565 not equal to -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.30301 minutes to hours.\nAnswer: 4.2383835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -51*(2 + -3) + -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*o + 124 = -2523 - 1552 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 25 + 29 = 0. Solve t*k - 2*s + 8 = 0, 3*s + 4 - 16 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2)*(-20)\/(-80). Let x(l) = -l + 7. Calculate x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 112*b + 38 - 79*b - 69*b to m*b + i and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108466.\nAnswer: 2, 193, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*t - 2. Let j(q) = -4*q**2 + 14*q - 15. Let z(x) = x**2 - x + 1. Let s(i) = t*j(i) - 3*z(i). Let a be s(10). Which is bigger: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 689448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2499 > -2499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-1216)\/(-190)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11705104*f**4 - 1736*f + 330.\nAnswer: 140461248*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 8*q**2 - 26*q - 274. List the prime factors of a(-10).\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -0.3, -0.19, -0.6, -56 in descending order.\nAnswer: -0.04, -0.19, -0.3, -0.6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 37. Calculate the greatest common divisor of f and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/176715 and 26\/2849?\nAnswer: 6538455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**5 - 13*b**4 + 10*b + 4 wrt b.\nAnswer: 20*b**3 - 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001000 + -110010000?\nAnswer: -1100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86707\/90 - 964. What is the common denominator of i and -4\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1980 + 349 + 315)*(0*h**3 + 0*h**3 + 2*h**3) as p*h + n*h**2 + q + c*h**3 and give c.\nAnswer: -2632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6\/5*a**2 + 0 - 3\/5*a + 21\/5*a**3 + 12\/5*a**4 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 271298.4\nAnswer: 1085193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521 plus 44?\nAnswer: 2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 14*q - 19*q. Which is the biggest value? (a) 1 (b) q (c) -3\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/2, -2, -10.7, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2132440 (base 6) to base 4\nAnswer: 121301220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q**3 - 12*q**2 - 5*q + 12. Let z(v) = 4*v**3 - 4*v**2 - 2*v + 4. Let r(w) = 2*o(w) - 7*z(w). Factor r(j).\nAnswer: -4*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 11 + 0 + -3. Suppose -5*o - 5*h + 27 = -x, 5*o - 5*h - 85 = 0. Solve o = -y + 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1eccc0a - -7?\nAnswer: 1eccc12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70296720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/((-1)\/(-24)). Suppose -2*d + 4*m = 2*d - 480, -4*d + 3*m + 480 = 0. Let r be (d\/(-12))\/(1 + 0). Does o = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38550174 (base 9) to base 8\nAnswer: -110151771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g + 1. Let v(n) = -4*n. Suppose 0 = 20*k - 30*k + 60. Give k*v(b) + 5*u(b).\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/11 + 36532*t**2\/11 - 15212150*t + 423340456 = 0 for t.\nAnswer: 28, 9119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2 - 13*r + 3. Let v be c(-3). Sort -5, v, -13 in decreasing order.\nAnswer: v, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1877*f + 525566. What is u(280)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2. Suppose 45 = 5*f + 2*g - 21, 2*f + g - 27 = 0. Let n = f + -8. Let o(x) = -n - 4*x + 2*x + 4. Calculate o(h(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 38*n + 239. Let x(m) = 6*m + 1. Calculate a(g) - 6*x(g).\nAnswer: 2*g + 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 209*z**4\/2 + 1252*z**3\/3 - 3*z**2 - 404. Let y(t) = 0. Calculate t.\nAnswer: -3, 0, 1\/209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.31 - 8.19. Let g = w - -14.5. Let v be (-26)\/30 + (-2)\/(-3). Sort g, 6, 0.4, v in descending order.\nAnswer: 6, g, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24925 and 29910?\nAnswer: 149550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -l - 9. Find the third derivative of -3*c**2 - c**6 + 3*c**2 - 5*c**2 + 6*c**l wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3132 (base 4) to base 2.\nAnswer: 11011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-13)\/26 - (813\/(-1008) - (-14)\/49))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121.0000552 + -121. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/(6\/(-216)). Suppose 5*i + 1062 = -i. Is ((-12)\/n)\/((-2)\/i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*(4 - (-4)\/(-3)). Let g(y) = y**2 - 10*y - 7. Let q be g(11). Solve c = 3*h + h - 20, -u = 4*c - q*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -5.97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 0.08. Let x = -187\/670 - -12\/67. Let f = -1.4 + 2. Which is the third smallest value? (a) -3 (b) x (c) w (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4133 (base 8) to base 4\nAnswer: 201123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2207 + 2205 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x = -112*x - 290 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/497006 and -77\/1340?\nAnswer: 4970060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let u(k) = k**3 + 2*k**2 - 13*k - 2. Let q be u(3). Let m(j) be the second derivative of 0*j**3 - q*j + 1\/2*j**4 + 0 + 0*j**2. Give m(b(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/372 + -11 + (-18905)\/(-1767).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -0.0297.\nAnswer: -7.0297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.054 - -3.246. Let k = -11 + 12. What is the nearest to y in k, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007599913 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182539 is divided by 195.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.584 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 17 = -3*n. Let t(b) = 15*b**2 - 7*b**2 - 7 - 3 + 16*b - 9*b**2 + 0*b**2. Let k be t(n). Solve p = 5*c + 18, 9 - 3 = -k*p + c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 1. Let p(l) = -6*l. Let m(f) = p(f) - 3*y(f). Let k(n) = -n**2. Calculate k(m(j)).\nAnswer: -9*j**2 - 18*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 3. Let d be m(-1). Let u be (2 - -2)\/(d - 2). Put 1, u, -6 in descending order.\nAnswer: 1, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(9)*-2))\/(sqrt(7) + sqrt(63) + sqrt(189)\/sqrt(3)) + sqrt(288)*2*4 + -4*(0 + sqrt(288)))**2.\nAnswer: 450241\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1083*g**5 - 1153*g**2 - 2785*g**5 + 498*g**5 + 144*g**5 wrt g?\nAnswer: -193560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z - 5. Let f(v) = -96*v + 70. Let a(w) = -19*w + 14. Let o(p) = -14*a(p) + 3*f(p). Let i(c) = 5*o(c) + 14*y(c). Let s(u) = -9*u. Give s(i(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 14*y - 27 + 29.\nAnswer: -23*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 363\/140 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 2*t + 2*q, -318508*q = 5*t - 318504*q - 123 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -162916021357477 - 0.3?\nAnswer: -162916021357477.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/76 and 163\/60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9792 - 9793 + 100*p + 249*p - 2*p**3 - 5*p**2 in the form b + l*p**3 + z*p + t*p**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -13, -5, 1, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -28, -36, -34, -16, 24?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -12, -13, -10, -3, 8?\n\"Answer: 2*v**2 - 11*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 3 + 5*r**3 + 3*r**3 to f*r**2 + u*r + z + c*r**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/5, -1\/3, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 4*j + 2*j)*(-4 + 3 + 2)*(1 + 4 - 2) + (2 + 1 - 4)*(3*j + j - 2*j) in the form m + o*j and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbk when four letters picked without replacement from kbkbkfb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.118 * -0.2.\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5339.9, 0, -3.3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*p + 3*u, 0*p - u = -p - 6. Let j(t) = t**3 + 5*t**2 - 5*t - 4. Determine j(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 2*((sqrt(76) - -3*(-5 + sqrt(76))) + (-1 + -2*sqrt(76))**2)) + 3.\nAnswer: -1159 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*u + 120815, 21*z - 9*z = 7*z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10 and 40\/193.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v = 219805 + 153087. Does 101 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**4\/2 - 19*o**3\/2 + 25*o**2\/2 + 3*o\/2.\nAnswer: -o*(o - 1)*(o + 3)*(9*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 - f - 5. Let q be j(6). Let k(b) = b**2 - 9. Let a be k(0). Let g = a + q. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568 and 26412.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -3502, 14, -5, 3\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 31. Let w be k(-7). Let g(l) = 2*l**2 + 2*l + 3. Let j be g(w). Solve -2*f + j = -3*s - 0*f, -3*s - f = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14623 - 14480. Calculate the highest common factor of i and 2761.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 less than -130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -332 - -329. Let q = -22 - -3. Let t = q + 20. What is the nearest to t in -1\/4, w, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n - 6. Calculate s(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 42, 1, -10, 332 in descending order.\nAnswer: 332, 42, 1, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v**4 + 57*v**4 - 17*v**3 + v**2 - 57*v**4 - 2 + 6*v**3 + 2*v + 28*v**4 as y + b*v**4 + s*v + p*v**3 + w*v**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three sixths of a day?\nAnswer: 10320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bb + 2a34?\nAnswer: 2768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 597 by 5.\nAnswer: 597\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 5*p**2 - 6*p**2)*(-4 + 4 - 9*p).\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 6 + -96 + 209 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -3*j**5\/5 + 8*j + 6. What is the derivative of p(y) wrt y?\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/535969 and 71\/26740.\nAnswer: 2047401580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39982.68m to millimeters.\nAnswer: 39982680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 + -0.09. Let p = -437 + 303. Let w be (3 + p\/44)*-2. Put w, a, 5 in decreasing order.\nAnswer: 5, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -492*u + 495*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnmgggngngnmnunu. Give prob of sequence ngun.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -380070882*b**2 - 3932722*b - 2.\nAnswer: -760141764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*n + 50 = 107*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 - 5 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10854 divided by 18.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(9\/(-2)) - 487*-2. Let n be 3 + -3 - 0 - h\/(-2). Suppose -190 = -2*f - 4*l, 5*f - 2*l - n = l. Calculate the remainder when f is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**3 + 995*o - 1957*o - 99 - 42 - 2 + 1003*o wrt o.\nAnswer: -12*o**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 57572 - 31005 - 26588.\nAnswer: 2*s - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 2*y**4 + y**3\/3 - 3*y**2\/2 - 3*y - 470. Calculate w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -28, -22, 2, 50?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -453247 and -3?\nAnswer: 453244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9940\/(-13090) - (18\/17 + -1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.7146.\nAnswer: -0.14292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101110101 + 100?\nAnswer: 10001101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53704 is divided by 53619.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t - 6. Let j be o(0). Let l be 1 - -1 - (24\/j - -7). Let g = -0.3 + 0.32. What is the closest to 0 in l, 2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, z: 4, r: 3, b: 2}. Give prob of sequence rz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -154, -303, -456, -613, -774, -939?\n\"Answer: -2*m**2 - 143*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 + -5 - (-55 - -61))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 7:09 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 111*a**3 + 13*a**2 + 13 - 110*a**3 + 8*a - 3*a**2. Calculate the smallest common multiple of f(-9) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + i + (-i - 2*i + 5*i)*(1 - 2 + 2))*(0*i + 3*i - i)*(2 - 2 + 4)*(-5301*i**3 + 6014*i**3 - 4984*i**3).\nAnswer: -102504*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -3*u**2 - 2*u + 10. Let m(l) = l**2 + 1. Let j(q) = -2*m(q) + t(q). Factor j(p).\nAnswer: -2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*(165953\/4 - (-15)\/20)\/5.\nAnswer: 7, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 - 18\/120. Which is the closest to -5? (a) -2\/5 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v + x - 21 = 0, 5*v - 4*x - 132 = 0. Differentiate -v*t + 8*t + 16 - 3 wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.5 + 47.291. Let r = t - -0.239. Which is the smallest value? (a) -0.5 (b) r (c) 1\/6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b - 10 = 0. Let u(k) = -3*k - 3. Let w be u(b). Suppose 2*l - w = 5. Calculate the remainder when 7 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707106051?\nAnswer: 3, 3067, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 766775 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22374285719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:57 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -18 in descending order.\nAnswer: 10, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 13. Let l be 52\/a + 1\/(-6). What is the second derivative of 2*i**l - 20*i - 2*i**2 - 7*i**4 + 27*i wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 13*q**2 + 276*q + 2. What is w(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -837*u. Let b(d) = -d - 1. Let j(s) = -3*s - 2. Let r(z) = -2*b(z) + j(z). Give g(r(n)).\nAnswer: 837*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*i - g, -128*g + 112*g = -3*i + 95 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 4*k**2 + 77*k + 18. Give d(-10).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 2, a: 1, d: 1, q: 4}. Give prob of picking 1 d, 1 q, and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r + 14. Suppose 5*y + 15 = r*p, p + 2*y = 4*p - 10. Solve 0 = -4*n + p, -3*w + n - 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*o - 7, -3*o = -4*o - 4*w + 1. What is the remainder when (-1704)\/(-40) + o\/5 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9 - 9.69215?\nAnswer: -22.59215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3344 is divided by 241?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:48 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.07069 - -2\nAnswer: 1.92931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3*j**2 - 2*j + 1. Let c be k(4). Calculate the greatest common divisor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -3. Let g = -0.89 - -2.4. Let f = g - -11.49. Sort f, l, -3\/5, 0.\nAnswer: l, -3\/5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5933*126.\nAnswer: 747558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48501.16cm in meters?\nAnswer: 485.0116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 44. Let h(j) be the first derivative of 2*j**3\/3 - 351. Determine h(i(z)).\nAnswer: 18*z**4 - 528*z**2 + 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 80 = 5*q, -219*o + 215*o - 36 = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3716*f**5 + 2879*f**2 wrt f?\nAnswer: 222960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttoooootot. What is prob of picking 3 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2079 and 1562484?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let h = 2 - k. Solve -11 = h*r + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:37 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.36167 times -0.0926\nAnswer: 0.033490642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 - -94. Let r = p + 111. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let w(f) = 15*f + 5. Suppose -30*k = -25*k - 25. Let t(o) = 7*o + 2. Let n(p) = k*t(p) - 2*w(p). Calculate q(n(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 b when four letters picked without replacement from bbjjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 - 8*r + 7. Let u(a) = -a**3 + 14*a**2 + 8*a - 31. Let q be u(14). Let t = -70 + q. Let s = 17 - t. Determine z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443701 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - 206\/264. Let b = 123\/308 + i. Let a = 4.7 + -1.7. Are b and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.7222737\nAnswer: -0.28890948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 3. Let j be b(2). Solve o - 5*u + 13 = 0, -4*o + 3*u + j = 2*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 3) in base 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**2 + 19*j**2 + 2 - 69*j**2 - 202*j**3 + 78*j**3 - 45*j**2 wrt j.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = 7. Let s(n) = n**2 + 2*n - 2. Calculate s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634332?\nAnswer: 2, 3, 52861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2245 + -2245.018435. Round r to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -89*d + 6410. Let z be v(72). Solve -z*y = -4*k, 10 = 2*k - 14*y + 18*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 124*j**2. Let n(q) = 1764*q. Give n(v(a)).\nAnswer: 218736*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 4*b**2. Suppose 10 = -5*a + 35. Let y(o) = -2*o**3 - 2*o**2. Calculate a*y(i) + 2*l(i).\nAnswer: -4*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2522 - 549. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(5 - 6)*(-18)\/3. Suppose 5*k - 3*o - 38 = 0, 4*k = -5*o + 13 + 10. What is the second derivative of -3*g + 0*g + k*g**4 - r*g wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 - -9) + -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t - 68*t - 33 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*l**2 + 28*l**2 - 4 - l + 0*l)*(-9 - 19 + 9) as u*l + a + q*l**2 and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s**4\/5 - 762*s**3\/5 + 21538*s**2\/5 - 127848*s\/5 - 6664 = 0. Calculate s.\nAnswer: -119, -1\/4, 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = o + 24, 3*o + 28 = -b - 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756, -1390, -1782, -1812, -1360?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7432394903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5))**(1\/2)\/(x**(-2\/11))**26 assuming x is positive.\nAnswer: x**(531\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18 = 5*r, -r = -2*d - 3 - 9. Calculate the remainder when r is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 17*k**2 + 16*k - 4. Let c be b(-16). Let m(r) = r**2 + 4*r + 5. Let p(l) = l**2 + 3*l + 4. Let v(n) = c*p(n) + 3*m(n). Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 345 - 345.1. What is the smallest value in 1, m, -1\/2, -1\/7, 819?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183760819 to the power of 1\/3, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000075054712 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -102242 and -0.04?\nAnswer: 102241.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -254744 divided by -2?\nAnswer: 127372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-5) + ((-60)\/25 - -2). Suppose -8*o = -f*o - 28. Let c be (3 - -1) + (14 - o). Solve -j = 2 - c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/45*12320\/(-14784).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, e: 1, h: 2, n: 2, f: 1}. Give prob of sequence nnf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 - -495. Let m = j - 174. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 51*q + 425. What is w(-10)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119601117.\nAnswer: 3, 997, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnntnptnnntttttpnt. Give prob of sequence nnnp.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**5 + 476*n**4 - 1464*n**3 = 0?\nAnswer: -122, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16786 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 299*x**2 + 81*x - 482. What is the hundreds digit of f(-100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416 + -410. Solve -3*f + 10 = d - 5*f, 5*d + 4*f + i = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4836*f**2 + 2783*f**2 + 5368*f**2 to h*f + a*f**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 626239637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 51, 109, 191?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/16 and 79\/3038.\nAnswer: 24304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-16)*(312\/20)\/13\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 - 19*g**2 + 5*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*q = 20, -g + 4*q + 23 = 6. Let k be ((-108)\/(-45))\/(2\/g). What are the prime factors of (k\/9)\/(10\/1215)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26444623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -2\/7 (b) 0.2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*f - 4 - 13, -5*f - 20 = -5*x. Calculate the greatest common divisor of 21 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -93*b**5\/10 - b**4\/24 + 2035*b**3\/3 - 2318*b**2. Differentiate f(w) with respect to w.\nAnswer: -1116*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312402*b**5 - 920854*b wrt b?\nAnswer: -6248040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 120\/7, -0.5, 13, -1\/109 in decreasing order.\nAnswer: 120\/7, 13, -1\/109, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 35*p**3 + 2*p**2 + 3*p - 5. What is the remainder when 376 is divided by i(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26366714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3*d. Let w be h(11). Suppose -5*u + w = -1111. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 158877, 158263, 157649, 157035, 156421?\n\"Answer: -614*d + 159491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*t = -1294, -18*l + 16*l = 4*t - 540. List the prime factors of l.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = i - 29, -i - 116 = -5*i + a. Suppose i = 4*c + 9*h - 6*h, 3*c - 30 = -5*h. Solve -c*g + 1 = 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 112. Suppose -9*v + 288 = 3*v. List the prime factors of a(v).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2048334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217912594*r + 1518*r**3 - 217912594*r.\nAnswer: 1518*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkllllkkllklllkll. What is prob of sequence kl?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-40 - -39) + -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 68 = 5*p + 168, -2*g - p + 49 = 0. Calculate the greatest common factor of 92 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35884*l + 3869*l + 4054*l - 9040*l.\nAnswer: -37001*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1407 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 9*h**3)*(4*h - 3*h + 0*h) - 4*h**4 + 4*h**2 - 4*h**2 + 2 - 2 - h**4 in the form b*h**2 + l*h**4 + f*h + o*h**3 + n and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 152 (b) -5 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-10)\/75*5). Let x be ((-5)\/(-24))\/(7\/(-21)) - -2. Let g = -7\/8 + x. Which is the third smallest value? (a) 2\/9 (b) l (c) g (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2160) + sqrt(2160) + -6*(sqrt(2160) + (sqrt(2160) - -4*sqrt(2160))))\/((sqrt(3) - -6*sqrt(243))*-6))*4.\nAnswer: -4 + 272*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2532675700 to the nearest one million.\nAnswer: -2533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**3 - 3*c - c**4 + 7 - 2 - 6 + 3 in the form m*c**4 + n*c**3 + h*c**2 + a*c + w and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Suppose -u*r = r. Let s = 90 - 1168\/13. Are s and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -13\/15*q**6 - 8\/5*q**5 + 0*q**2 - 2\/3*q**4 - 9*q + 3 - 1\/7*q**7 + 0*q**3. Find h, given that v(h) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (3 - 3) - 1. Let l be ((-3)\/6)\/(x\/(-8)). Suppose -5*y = -l*n - 21, y + 20 = -5*n + 6*y. Put 3, n, -5 in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*h - 115024980 = 0, -132*n + h = -134*n + 46009995. Round n to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-i + 2*i - 2*i)*(-35 + 106 + 55)*(-2*i**2 + 4*i - 4*i).\nAnswer: -504*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740711 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -6426.\nAnswer: -32130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348050 divided by 6270?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**4 - 28622*f**3 + 784428*f**2 - 2480832*f + 2052864 = 0.\nAnswer: 3\/2, 2, 24, 7128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p + 8*p. Suppose -x = h + 1, 4*x - 2*x + 4*h + 4 = 0. Factor 1\/3*l**3 + p + x*l + 1\/3*l**2.\nAnswer: l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058\/83457 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 37?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*sqrt(2268)*-4 + -1)**2.\nAnswer: 2304*sqrt(7) + 580624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 8\/(-4) + (-1 - -5) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*1\/(-3))\/(23\/(-92)*-100)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 55 - (2 + -37)) + -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-3\/10)\/h))*h**8*(h**5\/h)\/h**(-2\/13))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.1 - 27.89. Which is greater: h or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 118785 - 118785.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:47 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 80*a**4 - 10*a**3 + 8*a**2 + a - 231. Let n(c) = 23*c**4 + c**2 - 1. Let y(m) = -5*n(m) + t(m). What is the second derivative of y(j) wrt j?\nAnswer: -420*j**2 - 60*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1470 or 1469?\nAnswer: 1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 17*r**3 - 12 + 12 - 10*r**3.\nAnswer: -27*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 - 0.7918. Round k to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**3 + 2*k**2 - 2*k. Let q be a(-2). Let r be 169\/2 + (-18)\/q. Suppose 3*i**2 + r + 2*i + i**3 - 41 - 44 = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/464 and -91\/24.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 57*p**3 + 93*p**2 - 1020*p - 1056 = 0?\nAnswer: -88\/19, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-4)*n\/(n**17*n) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**2*s)\/((s\/s**(-1\/7))\/s) assuming s is positive.\nAnswer: s**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 637 - 681. Do q and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 7*j**2 + 3*j + 4. Is c(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + sqrt(405)*1)*-3)**2 - ((sqrt(180) + sqrt(180) + 2*sqrt(180))*-3)**2.\nAnswer: -11340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164*(6 - 0)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = x - 6, -5*x + 6 + 3 = o. Suppose -1 = -l + 1. Solve z + x*z - 14 = -t, -l*t = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.3. Let p = 3.3 - c. Let a = 3.00000016 - p. What is a rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96953 + -53400. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162462.86 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*d - 4*d = 22, 4*d = -m - 8. Let u be (-1)\/m - (-99)\/12. Let j be (-2)\/7 + (-60)\/(-14). Solve -3*z = -j - u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3785*y - 4529. What is the tens digit of s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6146*v - 147961. Determine q(-24).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4\/9, 5, 8 in decreasing order.\nAnswer: 8, 5, 4\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 + 2 + 3 + -8) - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6536455 divided by 21431.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579944 + 579944 - 6*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a - 413. What is o(-16)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 11:37 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -5, 0, 1, 6 in descending order.\nAnswer: 192, 6, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 6. What is x(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. Suppose -u - 24 = -3*u. Let l be (u - 2)*(-12)\/(-10). Solve 0 = 3*k - 6*k - 3*g - l, 2 = -y*k - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 7 - -8 - (47 + -19)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.611 and 2.\nAnswer: -8.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x - 519 = 83*x + 28*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 398681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o + 458 - 460 + 93*o as a*o + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 116, 161, 204, 245?\n\"Answer: -d**2 + 48*d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5643514 months to millennia.\nAnswer: 0.00021369595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 15) to base 10\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 343916*v + 50800. Let a(x) = -508*x - 75. Calculate -2032*a(z) - 3*q(z).\nAnswer: 508*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13774960.\nAnswer: 2, 5, 233, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516343?\nAnswer: 83, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.02.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12 = -2. Let z = n + 3. Let t = z - 6. Let y(m) = -9*m - 1. Give y(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 times 0.243?\nAnswer: 15.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/2 + 699*o**2 + 1400*o = 0. Calculate o.\nAnswer: -2, 0, 1400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-15))\/(4\/(-10)). Suppose -13 + i = -5*m. Solve o**3 + 1 + 3*o**m + 3*o + o**2 - o**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 31*p**2 + 3*p - 89. Calculate d(0).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(288)\/sqrt(6)))\/(4*(4*sqrt(40) + sqrt(40))).\nAnswer: sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a minute in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/805480 and 99\/384152.\nAnswer: 24969880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 b, and 1 g when four letters picked without replacement from {b: 2, g: 1, w: 1, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, 363 in decreasing order.\nAnswer: 363, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 595.7224 grams?\nAnswer: 0.5957224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 - 2*o - 1. Let j be n(-2). Suppose -5*a + 115 = 4*f, -4*f + 0*a = j*a - 109. Solve 4*m = -13 + f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(10\/18 + -1). Let z = -0.3 - 3.7. Which is the fourth biggest value? (a) 0.4 (b) 3 (c) q (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.811 and -8.\nAnswer: -6.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let s(w) be the third derivative of -47*w**6\/120 - 4*w**3 - 15*w**2. Find the first derivative of s(u) wrt u.\nAnswer: -141*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6062903 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 736515*v - 3682568. Give f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from ayyyyyayyyyayyy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*-3)\/(sqrt(8)\/(sqrt(4) + sqrt(4)*2 + sqrt(4))) - ((sqrt(20) - (sqrt(20) + -1*sqrt(80)) - sqrt(20))\/((sqrt(80)*1)\/sqrt(8)))**2.\nAnswer: -96*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/94, -0.0304, 5?\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30586, 122365, 275330, 489481, 764818?\n\"Answer: 30593*d**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5190098.\nAnswer: 2, 2595049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 14*l**3 + l**3 - 26*l**3 + (-3 + 0 + 1)*(-l**3 - l**3 + 3*l**3).\nAnswer: -13*l**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 5*z + 1. Let q be s(-4). Let h = 8 - q. Suppose -h*j = j - 764. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.88 - 6. Let x = -0.22 - q. Let k = 0.0953 + x. What is k rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10033094 is divided by 12781.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:41 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13358880 divided by -45.\nAnswer: 296864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-6))\/((-6)\/4113) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4498067, -4498063, -4498059, -4498055, -4498051?\nAnswer: -4498047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32932 (base 12) to base 2\nAnswer: 10000010110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0877 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 6. Let u(c) = c**3 - 5*c**2 + 5. Let x be u(5). Sort -2, s, x in ascending order.\nAnswer: -2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -4 - 1)*5. Suppose 21 = j*m + 2*n, 4*n - 15 = -m - 0*m. Let t = m - 2. Solve 0 = 3*w - 2*w + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*d + 8, -4*g = 11 + 5. Is d greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g**4 - 534*g**3 - 678*g**2 - 136*g = 0. Calculate g.\nAnswer: -1, -1\/4, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5*p**2 - 6*p + 15. Let i be r(6). Suppose -6*c = -c + 50. Let x be i\/3*(-256)\/c. What is the greatest common factor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15*(-4)\/3*156\/(-40). Suppose 3*q + 74 = 5*q + 3*p, p - t = -2*q. Calculate the least common multiple of q and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 591 - 591.00000444. What is f rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(96) - (sqrt(96)*-1 + sqrt(96))) + sqrt(96))\/(((sqrt(12) + sqrt(12)*2)*1 - sqrt(12)) + (sqrt(12)*-2*3 - sqrt(12))).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3358103 and -1\/2878374?\nAnswer: 20148618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/20 and 49\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 2, a: 3, k: 3, l: 6}. What is prob of picking 2 l and 1 v?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 9 + 15 = 0. Let i = -3 - b. Let f(w) be the third derivative of -w**5\/30 + 5*w**4\/24 - 2*w**3\/3 + 2*w**2. Calculate f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {p: 2, d: 5, r: 1, t: 1, s: 6}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*g - 33, 4 = -h + g + 9. List the prime factors of 4 + (-2)\/((-6)\/h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1254655 divided by 719\nAnswer: -1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153407038 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*a**4 - 33*a**3 - 78*a**2 - 35*a = 0. What is a?\nAnswer: -1, -7\/10, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 539893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 73*c**2. Let u(q) = -1027*q**2. Give n(u(w)).\nAnswer: 76995217*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -322 in 0, 2\/27, -0.5, -0.2, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010100111100 (base 2) in base 16?\nAnswer: 253c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x - 5*s + 386, 5*s + 307 = 3*x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 18. Let s be f(16). Solve -2*i + 5*j = -2 - 13, 2*j = s*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/3 - 2\/3. Suppose -a*d - d = 3. Let k(v) = -10*v + 1. Is 11 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1240099*o**3 - 3*o**2 + 5563*o - 18 wrt o?\nAnswer: 7440594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -87039?\nAnswer: -87074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + -2 + sqrt(7) + sqrt(140)\/sqrt(5) + (1 + sqrt(847) + sqrt(847))**2*3.\nAnswer: 136*sqrt(7) + 10165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - 4*t**2)*(3*t - 3*t - t**3) + 2 - 2*t**5 - 2 + (-255*t**2 + 255*t**2 + 38*t**3)*(-3*t**2 - t**2 + 2*t**2).\nAnswer: -77*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/3, -1\/3, 250, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 18 = -2*i. Let f = -243865\/7 - -34851. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.92 + 1.12. Sort 1\/2, q, 2, 0 in ascending order.\nAnswer: 0, q, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 292, 1125, 0, 2.\nAnswer: 0, 2, 292, 1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.5 + -11. What is the fourth smallest value in 1\/4, -5, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*o**3 + 174*o**3 - 51*o**3 - 62*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62568 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 392143, 784446, 1176749, 1569052, 1961355, 2353658?\n\"Answer: 392303*n - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(220*n - 147*n + 62*n)*(-n + 2*n - 11*n).\nAnswer: -1350*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 2*o + 2. Let w(t) = 48*t - 45*t + 9*t**2 - 5*t**2 + 59 - 30 - 26. Determine -2*w(q) + 3*x(q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4) - (13 + -1 - 22231\/30100 - 12).\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 231 - 227 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/16 and 127\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -13*l**8\/6720 - l**5\/40 - 13*l**4\/24 - 12*l**2. Let f(t) be the second derivative of g(t). Differentiate f(i) wrt i.\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11\/s**(-2\/9))\/(s\/((s*s**(-20)*s)\/s))**(-9\/7) assuming s is positive.\nAnswer: s**(2327\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (33 - 3) + -30\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v - 2*v. Let o = 0.9 + 0.9. What is the nearest to o in -2, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 47. Determine z(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*w - 24*w - 4*w)*(-w**2 + w - 4*w**2 + 4*w**2).\nAnswer: 79*w**3 - 79*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1\/9 (c) 1.7811 (d) 0.13 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -4 (b) -6473 (c) -1 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5\/168, 5, -8366, 3 in decreasing order.\nAnswer: 5, 3, 1, 5\/168, -8366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, k: 15}. What is prob of picking 2 k?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*s + 0)*(-2 + 1 + 2)*(-292 - 374 + 166) to the form c*s + a and give c.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Suppose 55*q - 58*q = 5*k + 23, 3*k = -q - 13. Which is greater: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6*(-2)\/(-4))\/((-13)\/((-520)\/(-90))). What is the second smallest value in 1\/5, 38, m, 0.31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z - 3*o + 672, -3*z + 483 = -3*o. List the prime factors of 5\/5*z + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 6. Suppose -10*t + 46 = -5*z - 14, 0 = 2*t + 5*z + 24. Let i(f) = f**2 - 5*f + 13. What is t*i(q) - 5*d(q)?\nAnswer: 3*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(7*u**2 - 11*u**2 - 10*u**2).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 4*u**2 + 4 + 4*u**2 - 4*u - u**2. Let k be a(-7). What is the remainder when (-89)\/k - (-3)\/9 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*i + 4, 0*i + 3 = -c + 3*i. Solve -13*o + c*o - 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3636, -3534, -3432, -3330, -3228?\n\"Answer: 102*r - 3738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881681579 is divided by 260?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + -1 + 0. Let v = -39 - -37. Let d be (0 - v) + 2 - 2. Solve b = y - d*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.7 - 41.7. Which is the nearest to q? (a) 4 (b) -3\/2 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2391 - 2390.6. What is the biggest value in -155, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-6))\/z*z)\/z**(7\/2)*((z*z**(-1\/8))\/z)\/(z**(-4\/7)*z) assuming z is positive.\nAnswer: z**(165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/6 - 198772*l\/3 + 1987570 = 0.\nAnswer: 30, 397514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.6 + 33. Let v = g + 4.6. Let x = 0.2 + -0.3. Which is the closest to v? (a) 1\/4 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(4 - 1 + 3)*(-2 + 0 - 2)*(-11*p - 30*p - 35*p + (-1 + 4 - 1)*(-2*p + 3*p + 0*p)) to x + n*p and give n.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 0. Suppose 0*o + 35 = 5*o + 2*h, -4*h = 20. Suppose o = -3*r, 0*r - 3 = -4*q - 3*r. Solve q*a + 11 - 2 = y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -13. Let i be ((-4)\/(-6))\/(6\/9). Let d be -6 + 1*(0 + i). Which is bigger: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 359905?\nAnswer: -359901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*x - 46662, -11674 = -3*p + 2*x + 23326. Is p a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:02 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34644112.\nAnswer: 2, 31, 69847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11439 is divided by 668.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -3462 = -3462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1695 and 350?\nAnswer: 118650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/6)\/((-2)\/3). Suppose 1 + 11 = 3*r + 5*p, -8 = -2*r - 5*p. Let w be 2\/r + (-70)\/(-28) + 1. Solve 2*v - v + 11 = -4*d, n*d = w*v - 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 + -264. Which is the closest to -0.019? (a) -0.5 (b) 4\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 14*c + 6981. What is the tens digit of c + -1 + 0 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2557 - 2557 + 393*l**3 - 2*l + 0*l + 0*l to the form u + g*l**2 + w*l**3 + r*l and give w.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 13)*1 + -1. Let o(k) be the first derivative of 0*k**c + 0*k**3 - 17 + 7\/2*k**4 + 4*k. Differentiate o(t) wrt t.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.1, -3\/5, 0.2, 8, -2.132, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 2*m**2 + 3*m**2 - 3*m**2 - 3*m**3.\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28 + 0)\/(2\/7). Let t = d + -99. Let k = t + 12. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqmjjox. What is prob of picking 1 x, 1 q, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2093 = 317*t + 3930 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(91\/14 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*r = 3*u - 82, 3*u = -3*r + 291. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/480 - h**5\/48 - 55*h**2. Factor k(p).\nAnswer: p**2*(p - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 < 331911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (245 - (-59774)\/(-247))\/((-3)\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-8)*x*x*x*x**(-2) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 275887?\nAnswer: -27588a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1105, -2185, -3255, -4309, -5341?\nAnswer: -6345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g + 11. Let f be l(6). Suppose -5*i + 192 = 3*t, 2*t + 28 + 13 = i. Let k = f - i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/27*1*-5*(-20)\/250?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60354 and 4918851.\nAnswer: 9837702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -23, 4 in ascending order.\nAnswer: -71, -23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -10. Suppose -4*h = -3*s + 102, 2*s - 34 = s + q*h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a + 6. Let m(s) = 4*s**2 - 15*s - 19. Let g(b) = -2*m(b) - 7*u(b). List the prime factors of g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - 100. Let b = u + 1032\/7. Let r = 12.1 - 12. What is the fourth biggest value in 1, -3, r, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00773 minus 1?\nAnswer: -0.99227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -19. Let x(o) = -o**2 + o + 1. Let g be x(2). Sort a, 2, g in ascending order.\nAnswer: g, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 2803101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 654465 or 654475?\nAnswer: 654465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 14. What is the closest to 0 in i, 1, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10217 + -10245. What is the third biggest value in u, -2\/23, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 17, 8, -1, -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -11*a**5\/20 - a**3\/3 + a**2\/2 + a. Suppose 3*z = -194 + 218, -42 = -2*c - 5*z. Determine p(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y = -21. Let r be y\/(-7) + 22\/(-24). Sort r, -2, -0.2 in descending order.\nAnswer: r, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172285, 689136, 1550559, 2756560, 4307145, 6202320, 8442091?\nAnswer: 11026464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52358, 52360, 52358, 52352, 52342, 52328, 52310?\n\"Answer: -2*f**2 + 8*f + 52352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 14) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -39 (c) 21 (d) -63 (e) 4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d + 60. Let o be 1271942\/6 - (-5)\/d. Suppose 0 = -4*m - w - w + o, 0 = 2*m + 4*w - 105980. What is m rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + (-4 - 5 - -21).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 divide 1680892608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, 22.88, -10.\nAnswer: -10, 0.3, 0.4, 22.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -41. Let g = f + 43. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -40953.52, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 83 = 83. Let t(f) = -2 + 85*f - 79*f + s. Let w be 2\/7 + (-24)\/(-14). Calculate t(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -144*s**2. Let l(t) = t**2 - 5*t + 2. Let i be l(4). Let r(c) = -9*c**2. Let w(h) = i*m(h) + 33*r(h). Let d(n) = -n. What is d(w(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 44 (b) -359\/37 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*q + 65*q**2 - 64*q - 113*q wrt q.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 18*t + 70. Determine f(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22220 and 108353608.\nAnswer: 541768040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113264091.\nAnswer: 3, 12584899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*a**2 + 40*a**2 + 101*a**2 + 51*a**2 - 5 - 2*a**3 + 52*a**2.\nAnswer: -2*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/2*24\/(-84). Solve 55*p + 21 = 50*p - x*k, -3*p - 5 = -2*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u**2 + 0*u + 0*u. Suppose 0 = 12*b + 5*b - 34. Let z(v) = 21*v**2 - 15*v**2 - 4*v**b. Calculate z(h(c)).\nAnswer: 200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/80 and -111\/2260.\nAnswer: 9040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00497 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8381675 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 15*w**2 + 690*w + 5973. Give t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13300102 + -21131232?\nAnswer: -101032000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 + (-20 - -9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o**2 - 32751 + 32751 - 124*o**2.\nAnswer: -102*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 4*n**2 + 9*n - 20. Let h = 554 - 560. Determine x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157007 divided by -554.\nAnswer: 157007\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1\/o)\/o**(-1\/3)*(o\/o**6)\/o*o**(1\/10))**(2\/9) assuming o is positive.\nAnswer: o**(-137\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 48. Let t = -16 - j. Which is the nearest to 2? (a) 3\/8 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01876864061 to 4 decimal places.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*(-180)\/(-216))\/((-176)\/96).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**4 + 275*w**3 - 5310*w**2 + 42400*w - 119680 = 0.\nAnswer: 8, 17, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -813 rounded to the nearest ten?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69 + -4.2.\nAnswer: -3.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2028 and 69\/6520.\nAnswer: 3305640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 18, d: 1, j: 1}. Give prob of sequence js.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 923438710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z**8*((z\/(z*z**5*z*z)*z)\/z)\/(z**(-1\/8)\/z))**(-2\/133) assuming z is positive.\nAnswer: z**(31\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.00097.\nAnswer: -0.00291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, 0.5, 5114\/45.\nAnswer: -1, 1\/4, 0.5, 5114\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 0 - 5\/12*f + 1\/12*f**3 - 1\/3*f**2 = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-510)\/(-306) + (-3)\/(-9). Put o, 0, 22, 4, 5 in descending order.\nAnswer: 22, 5, 4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z + 0*z**4 + 0 + 2*z**2 - 1\/2*z**3 + 1\/15*z**5. What is the derivative of m(q) wrt q?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*o + 56, -48179*o + 48184*o + 4*q = 140 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a - 44 = 0. Let x be (-4)\/(-6) - a\/(-3). Let k = 0.837 + 0.163. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**4\/6 - 7*i**3\/3 - i**2 - 1635*i. Let f(q) = -2*q - 7. Determine 7*f(a) - 3*u(a).\nAnswer: -2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36187 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(1368))\/(sqrt(18)*1))**2 + -2 + 1 + (6*sqrt(133)*2 - sqrt(133))\/sqrt(7).\nAnswer: 11*sqrt(19) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20827 and -0.05781.\nAnswer: -20827.05781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 0*w - 50776 = 0. Does 23 divide ((-3)\/(-5) - 1) + w\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -1. Suppose -6*r + n = -2*r. Solve r*v - 8*v - 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22515 (base 8) to base 10\nAnswer: -9549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 take away 655753084?\nAnswer: -655750748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/6 + -2)*1926. What are the prime factors of (-6)\/(-16) - o\/(-48)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2)*q))\/((q*q\/q**(-1\/5))\/q*q)*(q*q*q*q**(-2\/11))\/((q**(1\/6)\/q*q)\/q))\/(q*q*q\/q**(-3\/7)*q*q*q\/(q\/q**0))**(-4\/25) assuming q is positive.\nAnswer: q**(49897\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 282*s**2 - 163 wrt s?\nAnswer: 564*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 7*u + 3. Let g(q) = -5 - 32*q**3 - 31*q**3 + 3*q + 100*q**3 - 5*q**2 - 36*q**3 + 10*q. What is -3*g(d) - 5*o(d)?\nAnswer: -3*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7277076ns?\nAnswer: 0.0000007277076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*m + 58*m = -3280. Suppose o = -2*f + 826, 9*f - 11*f + 2*o + m = 0. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:19 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 628067 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3 - 861*h**2 - 3381*h + 4245 = 0.\nAnswer: -283, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 5:52 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -727 in 2\/7, -2, -0.4, -47.9, 2\/3?\nAnswer: -47.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 595, 1864, 4087, 7270, 11419, 16540, 22639?\nAnswer: 29722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -45, -67, -109, -177, -277, -415, -597?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggssf. What is prob of picking 1 f and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) - (sqrt(68) + -2*sqrt(68)*-6)))\/((sqrt(64) - (sqrt(64) - (sqrt(64) + 1*sqrt(64) - sqrt(64))) - sqrt(4))*3)*6.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7149718 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = z + 2*z - 104, z = -11*c + 14*c + 83 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -3\/10 (c) 6\/7 (d) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*m = -5*j - 1072, -4*j - 1446 = -2*m. List the prime factors of (-4)\/(16\/j) + -4.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 5, p: 1, o: 1}. Give prob of sequence peao.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*357\/153*(-1)\/(-7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1027 and 5135.\nAnswer: 5135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65 or -510?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 13 - 11 = 0. Suppose 2*u = 5*u - n. Suppose -2873 - 3127 = -u*x. Round x to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 2256849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823605?\nAnswer: 5, 7, 52103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4681 and 558.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 2. Let z be u(-1). Calculate the remainder when (-56)\/z*(-10 + 13) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**3 - 2 + 0 - z**4 - 3*z**3)*(5 - 2 + 8) in the form x + d*z**4 + k*z + p*z**2 + q*z**3 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -79596 divided by -1206\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31293 divided by -31293\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (8 - (6 - 8) - 15 - -10) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j - 20 = 0. Does 9 divide (-1098)\/(-45) + 2\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.921*-0.17.\nAnswer: 0.49657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1053) + sqrt(1053)*-1)**2)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-23 + (29 - 8) + (1 - -7))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.8252472 to two decimal places.\nAnswer: -14.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1176 divided by 168\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*s + 865 = 0, 5*r - 3*s - 1287 = 3002. List the prime factors of r.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2213, -241, 15\/2, 4, -1, -0.5?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106857.\nAnswer: 139, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5814)\/3230*(-600)\/(-18).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206429 or -206436?\nAnswer: -206429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2551 + -2552. Let a be ((-2)\/3)\/(10\/(-75)). Let w be a - 8 - (-2 + g). What is the third biggest value in w, 0.5, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2956145585.\nAnswer: 5, 31, 73, 137, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 + 6*s**2 - 9*s + 4. Let v(h) = -7*h**3 + 11*h**2 - 17*h + 8. Let x(k) = 5*t(k) - 3*v(k). What is the hundreds digit of x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyyypmye. What is prob of picking 1 y and 1 e?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 - 171. Which is the smallest value? (a) -1 (b) t (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 5 (c) -10 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0515561 + -67.8697961. Let v = 0.03824 + d. What is v rounded to the nearest integer?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600959159.\nAnswer: 3, 59, 3014989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -81038.\nAnswer: 3\/81038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532817 (base 12) to base 7.\nAnswer: 14100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496740908 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - b - 17 + 33, -x + 12 = -2*b. Solve -k - 1 = -x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 4*o - 3. Let w be s(2). Let n(h) = -h - 3. Determine n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 23. Let r(m) = -m**3 - 2*m**2 + m - 5. Let f be r(-3). Let g(c) = -7*c**3 + 3*c**2 - 2*c. Let o be g(f). What are the prime factors of z(o)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6249, 12500, 18751, 25002, 31253?\nAnswer: 37504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8223872.204953 + -8223752. Let g = b - 0.255953. Let x = -120 + g. What is x rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 21*q**2 + 15*q. Let h(i) = -3*i**2 - 2*i. Suppose -d = -g - 32, -7 = g - 5*d + 33. Give g*h(s) - 4*j(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4958110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = -12. Suppose -3*i + h = -9. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 199896988*i**2*z + 6*i**2 - 167403 wrt z?\nAnswer: 199896988*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15576 is divided by 294?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1384 - -2a?\nAnswer: 13b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 254767058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63378 + 95707. What are the prime factors of n?\nAnswer: 11, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 3:06 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - ((48 - 58) + 2 + -1)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-46)*m*m*m**(-7\/4) assuming m is positive.\nAnswer: m**(-183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2*i - 2. Is 9 a factor of q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 - 330.5. What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 minutes before 2:03 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*2 - (41 + -4). Let u = -29 - p. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*s, 2*z + 6*s = 3*s + 8. Suppose -5*f = 4*b - 21 - z, -4*b - 4*f + 20 = 0. Solve -d + b*d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -10. What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e (base 15) to base 11\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -53.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*o + 9 = 2*o, 0 = -3*d - 5*o. Suppose -2*v + 143 = 5*u, -2*u + d*v + 11 = -23. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 2*v - 2*v - 4 - 1. Let l be g(-7). Suppose -l*b + 5*b = 5*s - 82, -5*s = 5*b - 90. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4046146 by -13.\nAnswer: 311242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**6*z - 48*c**5 + 8*c**3*z + 26*c**2 - 2*c*z + 8*c + 6 wrt c.\nAnswer: 480*c**3*z - 2880*c**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**3 + 4*z**2 - 5*z - 9. Let s(t) = -3*t**3 + 2*t**2 - 2*t - 4. Suppose 4*m - m = 6. Calculate m*q(r) - 5*s(r).\nAnswer: r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xll when three letters picked without replacement from xlx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.01411 + 17.324\nAnswer: 17.33811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 358 = -3*z, 145 = -3*z - 5*g - 189. Let y = 117 + z. Sort y, 2, 9.\nAnswer: y, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/3 + 2104*q**3\/3 + 61697*q**2\/3 + 114016*q - 546048 = 0. What is q?\nAnswer: -16, 3, 2133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 127 = 147. Let j(b) = -2*b - 2. Give j(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 10:11 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10897 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-7\/3)\/u*u*u*u)\/u)\/u)\/(u*u\/(u\/u**30)) assuming u is positive.\nAnswer: u**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2056 = 3*h, -2*u + 311 + 511 = h. Round u to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y - 1. Let h be c(-2). Suppose b - 5 = -h. Let z = -107 - -109. Solve 0 = -o - z*n + 9, -11 = -b*n + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101514 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 15995.4\nAnswer: 959.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - u**4 + 4*u**2 - 5*u**2 - 13)*(0 + 0 + 2*u).\nAnswer: -2*u**5 - 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1\/(-4))\/(5335\/(-224070))*22\/(-7)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 109 - 276 + 90 + 2*n.\nAnswer: 2*n + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.2 and -464101862.\nAnswer: -464101860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252 - -136. Let v = -92.9 - x. What is v rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 7:52 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(684))**2 + 4.\nAnswer: 36940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -120 - (-675 - -576).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.97059s in days?\nAnswer: 0.001643178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11574 rounded to 3 decimal places?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1721 - 2459 = -11*b. Calculate the least common multiple of b and (-12)\/3*(0 - (6 - 4)).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420\/(-56)*148\/(-185)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 81 + 218 = 80. Put 19, k, 16 in decreasing order.\nAnswer: 19, 16, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70118 plus -527654.5?\nAnswer: -527653.79882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4794141 years to centuries.\nAnswer: 0.004794141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031210 + 3230?\nAnswer: 2101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 3*k - 3*k)*(3 - 1 + 0)*(-213*k + 11*k**3 + 213*k) to the form x*k + p*k**4 + v + r*k**3 + l*k**2 and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -456864 (base 15) to base 16.\nAnswer: -328c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -463147*o + 1295645?\nAnswer: -463147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7 = -4*n + 23, 5*f = 4*n - 57. Let b(u) = -u**3 - 8*u**2 + 8*u - 4. Let t = -1703 + 1712. What is the least common multiple of b(f) and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 48 = p. Suppose 0 = -p*m + 18*m - 6. Solve y - 12 = 4*v, 0 = -4*y + 2*v + m - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*o + 13. Let p(a) = 98*a + 57*a - 40*a. Let y be p(o). Calculate the highest common factor of 23 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:53 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (-2*sqrt(99)*-6 + sqrt(99)))\/(sqrt(9)*-1*1).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17 + 18)*(-1)\/2. Sort -4\/5, -4, -30, j in descending order.\nAnswer: j, -4\/5, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-202)\/(-4)*-2*(3 - 0 - 4). Solve -q*k + 96*k = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.896 - 1.999. Let f = b + 3.8. Round f to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 37*p**2 - 44*p - 11. Let v(c) = 19*c**2 + 2 - 6*c + 2 - 32*c**2 + 21*c. Let z(i) = 17*v(i) + 6*y(i). Calculate z(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82955 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -4 (b) -471 (c) 2\/23 (d) 3 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*f**2 - 92*f**2 + f + 54*f**2 - 94*f**2.\nAnswer: 188*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(60)\/(sqrt(24)\/sqrt(2)) - sqrt(5)) + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + 36*f**2 + 48*f**2.\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 247044 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 - -1 - (9 - 31 - -19))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + f**2 + 34*f + 19. Give l(6).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611930 is divided by 1611378.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22781*v**2 + 99 - 97 + 22800*v**2.\nAnswer: 19*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 285606467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.45 - -0.4. Let p = f + 0.45. Let k = -0.4000004 + p. Round k to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59.87944 - 0.26956. Let a = 60 + v. What is a rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 - 28*k**2 - 27 + 16 + 4*k + 6 + k**4 to the form i + m*k**3 + c*k**2 + d*k**4 + h*k and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 162.33. Let a = q - 0.27. Sort 3, 1\/5, a in increasing order.\nAnswer: 1\/5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -11100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 267.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 1.2. Let m = 0.5 - 0.2. Let d = p - m. Sort 0, d, 2\/17.\nAnswer: d, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46\/(-345)*(-75)\/12. Let y = w - 2\/3. What is the smallest value in 1\/11, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-1 + -5)\/(-52 - -32))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3123)\/15 - 1\/(-5))\/(-1). 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: How many minutes are there between 12:52 PM and 8:39 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Factor 3*b**5 + 0*b**5 - i*b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 16 = 4*f. Let c be (4 - 6)*2\/2. Let u = c - -3. Put 2, u, f in ascending order.\nAnswer: u, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59.29058t?\nAnswer: 59290580000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.037 and -315.3?\nAnswer: 11.6661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 6*t - 2*t)*(2174 + 4060 - 1585 + 2298).\nAnswer: 13894*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 775566 = -56430. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000442985899 to seven decimal places.\nAnswer: 0.0000443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056 and 543648.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3668 - -3679. Solve -2*p + 4*a = p + 1, 3*p + a + o = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10\/11, -0.953, -5, -1, 2 in increasing order.\nAnswer: -5, -1, -0.953, -10\/11, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d*j**3 + d*j**2 - 80*j**2 wrt j?\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/8 of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381862396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose 0 = -o*j + 41 + 19. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2100338ml in litres?\nAnswer: 0.0002100338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 81*f - 700. What is the remainder when (-67 + 2)*(-3)\/3 is divided by t(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 22 = -4*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 14. Let n be u(11). Let d be (-1)\/n - 608\/12. What is the common denominator of -25\/16 and d*(86\/(-44) + 2)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, -6, -16, -3 in decreasing order.\nAnswer: 142, -3, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 90. Let o = 1154 - 10382\/9. Which is the second biggest value? (a) o (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227938877 is divided by 416.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-24)*x*x*x**(-28) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-21) - 2 - -1)*(-26)\/104.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 2. Let p be 4 + (-9)\/((-3)\/6*3). Let z(h) = -11*h - p*h - 16*h + 38*h. Determine -j(r) - 2*z(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -t + 4, 0 = 3*h + 2*h - 5*t - 30. Let z be (0 + 10)*(-1)\/(-4)*h. Suppose 46 = z*l - 154. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + -27.4. Let c = -27.99999935 - x. Round c to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 9*k - 5. Let z be s(8). Let q(h) = h**2 - 2*h - 8. Let x be q(4). Suppose 0 = 5*j + 3*p - 78, -z*j - 3*p = -x - 42. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 83\/536 - 2\/67. Sort 2, -3\/2, p in increasing order.\nAnswer: -3\/2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -77, 1.1, 5, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(((-1)\/(-2))\/1). Suppose -j = -q - 2. Is (-3)\/9 + 5120\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 2*j**2 - j**2)*(-12*j + 12*j + j**2) - j**3 - j**4 + 8*j**4 + 2*j**3.\nAnswer: 5*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - y = 14, 5*f - 2*y + 6*y = 61. What is the remainder when 50 is divided by 1 - -17 - (-8 + f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o**5 + 13*o**3 - 13*o**3)*(673 - 1118 + 573 + (1 - 2 + 0)*(0 + 0 - 1)).\nAnswer: 1935*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -879438*h**5 - h**2 + h + 23076.\nAnswer: -52766280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001471 to 6 dps.\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let k(i) = -6*i**2 + i + 1. Let w be k(2). Let b be 0 + (-2 - w\/3). What is the closest to j in -0.3, -1\/6, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-2 - sqrt(275) - sqrt(275)) + sqrt(1584)\/sqrt(4) - (-6*(sqrt(132) - sqrt(132)*1))\/(sqrt(72)\/(sqrt(12)\/sqrt(2))))**2 + 2.\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13. Solve 0*u + 3*u = -4*c - 16, -5*c = -w*u + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 84373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -79492 and -1357199110.\nAnswer: -1357278602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 (base 11) in base 10?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 217728361, 217728364, 217728367, 217728370, 217728373?\n\"Answer: 3*x + 217728358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02524 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 16*g. Let x be (-12 - g)\/((-14)\/8 - -1). Let m = x - 14. Solve 0 = -m*y - 3*y, 4*r - 3*y = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 814563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 22480*q + 89840.\nAnswer: 5*(q - 4492)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(99)*1 + sqrt(99))\/sqrt(3))\/(sqrt(11) - sqrt(44)\/(-2*sqrt(4))))**2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 1296392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-14)*l)\/l*l))\/(l*l**(-9\/8)) assuming l is positive.\nAnswer: l**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/89 (b) 5 (c) 14 (d) -1\/4 (e) 1.3 (f) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = 5*k - 295 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44327 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-893)\/(-190))\/(-47))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1003049388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*l**6 - l**5 + 3*l**3 + l**2 - 2*l - 10300 wrt l?\nAnswer: 2280*l**3 - 60*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 416, 1493, 3594, 7061, 12236, 19461, 29078?\nAnswer: 41429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57071957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 2*l + 6, 2*l - 3*l = 4*w - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 111. Let p = 6 + -1. Solve -1 = -p*u - b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 2. Let m = 18 - 13. Suppose 0 = m*c + 5*g + 15, 4*g = -5*c + g - 17. What is o(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 12. Let m be (3\/(-6)*0)\/(-2 + 0). What is the third biggest value in j, 6\/7, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -974705 divided by 2\nAnswer: -974705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 1, p: 4}. Give prob of picking 1 n, 1 c, and 2 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/110)\/((-1)\/(-2) + -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43 times -0.5?\nAnswer: 1.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + -154.999464. What is l rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23608 less than -0.041490166?\nAnswer: 23607.958509834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 2, u: 1, x: 1, o: 5}. What is prob of sequence eox?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 11*k**2 - 4*k)*(-2 - 3 + 4)*(351 + 462 - 528).\nAnswer: -3135*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 2*q + 4*q + (5*q - 3*q + q)*(0 - 5 + 3) - 13*q + 9 - 5 + 28*q as f*q + a and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -17*b - 492. Let i be l(-29). Solve 2*a + 2 = -z, -4*a + z - i + 3 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:32 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 8. Suppose -2*p = -3*p + 4. Let b be y(p). Suppose -d = -0*d - b. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/25546 and -29\/318.\nAnswer: 76638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 5:01 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 11012 = -15*m + 4377. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.355 + 0.3550401. What is i rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 947*g + 1344 = 959*g. Let j(h) = -2*h. Let i be j(-2). Suppose 2*m - 81 = -4*y + 127, -m + g = i*y. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29983711.\nAnswer: 271, 110641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -5*n**4\/16 + 15*n**3\/4 - 5*n**2 + 628. What is g in y(g) = 0?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -32*u + 41. Suppose -48*f + 43*f = 4*m - 2153, 5*m - 2690 = -u*f. What are the prime factors of m?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 2*o**2 + 2. Let p be v(-3). Suppose -4*m = -p - 1. Suppose -m + 5 = 2*k. Is k bigger than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u - 51*u + 16*u + 19*u + 6.\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 + 2*h**3\/3 - 3*h**2 - h + 2402. Suppose 4 = -6*n + 5*n. What is i(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q - 45. Let v(w) = 3736*w**2. What is k(v(o))?\nAnswer: 48568*o**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 72. Solve 3*f = f + l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 9) to base 7\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*p**2*z - 2*f**3*z + 2*f**3 - 2*f**2*p*z + 2*f*p**3*z - p**3*z + p wrt p?\nAnswer: 4*f**3*z + 12*f*p*z - 6*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 4 (c) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*s + 12 = 0. Is s at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -785838441*i**3 - 107536*i**2 - 106 wrt i?\nAnswer: -4715030646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 3*a**4 - a**2 + 3 + 1 - 5 + a**3 - a to q*a**2 + h*a**3 + k*a + i + l*a**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1722 - 0.0378. Sort 4\/3, -3\/7, -0.1, -5, g in decreasing order.\nAnswer: 4\/3, -0.1, g, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 1 in increasing order.\nAnswer: -12, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-8649)\/18)\/((-4 - -2)\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -30.22. Let z = 0.18 + o. Let r = -1.9 + z. Which is the nearest to 0.2? (a) 4\/7 (b) r (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22211 - 100333?\nAnswer: -123210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - t + 8, q = 2*q - 3*t + 12. Let l = q + 11. Let d(k) = -k**3 + 4*k**2 + 4*k + 6. Let m be d(l). Is 1\/2 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12533728 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a*h**3 - 8*a*h**2*w - 813*a*h**2 + a*h*w - a*h + 22998*h**3*w + h**3 - 4*h**2 - 2 wrt h?\nAnswer: -48*a + 137988*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (15 - (-1854)\/(-126)) + 91304\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -655*i**4 + 2*i**3 + 3163*i**2?\nAnswer: -15720*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v - 6. Let g(x) = 2*x - 3. Let a be g(4). Let p be r(a). Let n be 686\/9 - 2\/9. What is the highest common divisor of p and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -91. Suppose c - 2 = m. Suppose -q - 51 = -4*a - 0*a, m*q = -a. Solve 3*g + w = 2*g + 3, 3*w + a = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221488032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1b2b0 (base 12) to base 6\nAnswer: -505540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -102 - 6*p + 23*p + 14*p + 0*p - p**2 + 13*p. What are the prime factors of m(37)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/75)*d)\/d)\/((d\/d**25)\/d*d)*d**7\/(d*d*d**(-3\/11)*d*d))**(-5\/6) assuming d is positive.\nAnswer: d**(-23347\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17766 by 63.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3034, 12109, 27240, 48433, 75694?\n\"Answer: z**3 + 3022*z**2 + 2*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.43 + 0.21. Let z = 13.78 - o. Let s = -15 + z. What is the third biggest value in 0.3, s, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 136 (b) 2 (c) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01788499 and -7.\nAnswer: -6.98211501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 14\/277?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 1\/5, 12\/11, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 13438 - 5150. List the prime factors of w\/24 - 8\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*1\/2 - (-49 + 11). Calculate the highest common factor of w and 7264.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h*h**9))\/h)\/h*h*h**(-1\/5)\/h*h*h*(h*h**(-11))\/h**(-2\/11))**(2\/61))**(-1\/2) assuming h is positive.\nAnswer: h**(1101\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by -63?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13140900 a multiple of 628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94 + (-14063)\/147)\/(2\/48).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322 - 313. Let l(d) = -d**3 + 10*d**2 - 7*d + 2. Give l(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnsw when four letters picked without replacement from {w: 1, a: 1, n: 1, s: 1, p: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.99. Let m = i + -0.19. What is the smallest value in 3, 8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, k: 2, s: 3, x: 3, j: 3, a: 3}. What is prob of picking 2 a and 2 s?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 - (-14)\/(-21) - -3. Suppose h*d - 40926 = 3*q, 0 = 5*d - 3*d + q - 27287. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6\/5)\/(m*m*m*m*m\/m**14))\/(m*m\/m**4*m)**(-45))**(1\/42) assuming m is positive.\nAnswer: m**(-31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95743, 191481, 287219?\nAnswer: 382957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*b - 2. Calculate the remainder when (-2 - -1)*(-8 + -6 + 6) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*n**5 - 6*n**3 + 2*n - 12076 wrt n?\nAnswer: -520*n**3 - 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514\/10 - (21\/15 + -1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -11*k - 39. Which is the closest to k? (a) -0.4 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 150327095 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 3*g - 6. Suppose -4*s + 5*j + 4 = 5, s - 8 = 4*j. Calculate z(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + 4 + (-87 - -92)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - 0.1. Let d = g - 4.97. Which is the second smallest value? (a) 4 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -20559\nAnswer: -17\/20559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285638?\nAnswer: 2, 251, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/1 + -97 + 105. Let d(m) = m**3 + 12*m**2 - 12*m + 18. Let o be d(-13). Solve 3 = -n - o*h, -n - 8 = -w*n + 2*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s + 0*s**2 - 5*s**2 - 3*s + 43*s + 45 + 0*s**2.\nAnswer: -5*(s - 9)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -2*n**2 + 1\/6*n**3 + 1\/12*n**4 + 0*n + 0. List the prime factors of j(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347526?\nAnswer: 2, 3, 43, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1344 + 1344.01191. Round v to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 1, -6, 0 in descending order.\nAnswer: 3, 1, 0, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 2*j)*(-2092 - 1846 + 1555)*(6 + 2 + j - 20).\nAnswer: 4766*j**2 - 57192*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28536 divided by -50.\nAnswer: -14268\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1180\/(-118) - 12\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 3:51 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 4*j + 3. Let n(a) be the first derivative of a**3\/3 - a**2 + a - 153. Give 7*n(t) - 3*x(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*r = -19266970, -2*r + 26635522 = -4*l - 50432468. Round l to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l + 13 - 30 + 12 + 14 to x + b*l and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let a = 0 - l. Let t = 1.5 + -2. What is the third smallest value in a, -4\/7, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6237 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + (-1)\/(-4) + (-4223)\/574.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129632095781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-62 - (20 + 0)) - -21\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 - 3*t + 9. Suppose 2*v + 10 = d, -d - 5*v - 25 = -3*d. Let j be n(d). Let c be -3 + (-1620000)\/(-3) + j\/3. Round c to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let t be (-20064)\/(-2024) + (-9 - 1). What is the closest to f in 1\/12, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 greater than -90472\/1575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 - 115 - 338*z)*(-2*z + 0*z + 0*z)*(-3 + 0 + 5).\nAnswer: 1352*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 90, 178, 266, 354, 442?\n\"Answer: 88*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -276.396 - 0.604. Let p = -30 + u. Let l = p + 307.161. What is l rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3360, 2, -0.032, -25.\nAnswer: -25, -0.032, 2, 3360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*p**5*r - 3*p**2*r**2 - p*r - 17*r**2 wrt p.\nAnswer: -180*p**3*r - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 103*g**3 - g**2 + 4*g - 3. Calculate the remainder when i(1) is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/4 - 3331*j**2\/4 + 2801987*j\/4 - 46676033\/4 = 0.\nAnswer: 17, 1657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -1\/109 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4857 - -4?\nAnswer: 485b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -7. Suppose r - 5 = -4*r, 2*b - 29 = -5*r. Let k = b - d. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 2*c = -765 + 313, -3*d + 3*c + 87 = 0. Suppose -5*s - 2*y + 100 = 0, 0 = -0*s + 2*s + y - 41. What is the remainder when d is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 32 = 2. What is the common denominator of 59\/10 and (-4 + o\/4)*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 3602.\nAnswer: 18010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8765 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/6 + (308\/(-24))\/(-7). Suppose 3*b = 3*u + 114, 5*u - 33 = -z*b + 36. What is the remainder when b is divided by (-3 - (1 - 3)) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.62 + 0.38. Let q = 23 - t. Which is the third smallest value? (a) 5 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -4*n, 19*u - 2*n + 50 = 23*u. Which is the second biggest value? (a) 5 (b) u (c) 0.4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**4\/20 - 20*i**3\/3 + i**2\/10 + 20*i + 621. Factor l(j).\nAnswer: -(j - 1)*(j + 1)*(j + 100)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.7 (b) -0.5 (c) -12312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwdojct. Give prob of sequence tc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x + 3*x. Suppose 2*o - o - 2 = 0. Let h(u) = o + 1 - 2 - 4*u. Give h(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - sqrt(144)*2 - sqrt(144))\/sqrt(12))\/(sqrt(6) + (sqrt(6) - 2*(sqrt(6) - sqrt(12)\/sqrt(2)) - sqrt(6))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (37 - (0 - -12)) - 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22258826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose 4*i - 6 = 2*l, y = -3*l - 0*l + 9. Suppose -z + 0*z = -i. Let w(r) = 2*r + 3. Let b(x) = 5*x + 8. Determine z*b(u) - 8*w(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d - 18. Suppose -2*h - 4 = 3*i - 6*i, -i + 16 = 3*h. Suppose 4*f = 6*f - 30. Calculate the remainder when l(i) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 12*d = 8*d + 288 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 = 5*l - 0*k, -l = 4*k - 6. Let z = -922 + 923. Solve -3*p = -l*p + z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2*(-1 - 0))\/(-1))\/(1024\/(-2560)). Put -4, 41, 0, b in decreasing order.\nAnswer: 41, b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*b - 648 = -376*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 179, 630, 1515, 2978, 5163, 8214?\n\"Answer: 24*j**3 + j**2 - 10*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/12 + f**5\/60 - f**4\/24 + f**3\/6 + 7*f**2. What is the units digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23059264.\nAnswer: 2, 571, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -1 - (16 + -16). Let c be f - (-1 - (4 + -2)). Suppose c*z - 5*z = 15, 4*z + 56 = 3*u. Calculate the lowest common multiple of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-340489 - 1360*y + 340489)*(2*y - 2*y - y)*(-3*y - 4*y - 34*y).\nAnswer: -55760*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10138159, -20276326, -30414491, -40552654, -50690815, -60828974, -70967131?\n\"Answer: n**2 - 10138170*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5.67 times 10\nAnswer: -56.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = 3*s. Suppose -23 = -5*c + 10*n - 6*n, 5*n - 1 = 2*c. Let y(m) = 27*m - 185. Let q be y(c). What is the highest common divisor of q and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*u**2 + 9*u**2 + 87*u**2 + 69*u**2 - 410*u**2.\nAnswer: -367*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - q = -30, 4*s + 2*q - 148 = -158 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*z**5 + 4*z + 9 wrt z?\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 2\/3 (b) -3\/4 (c) 1\/9 (d) -101\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 - 15 = -4*d, -4*d = 3*g - 16. Suppose 3*c + g*y - 58 = 0, 3*c - 4*y + y - 51 = 0. Let q = c - 12. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 9) to base 13\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, m: 3, o: 4, a: 3}. Give prob of sequence mo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 8*x**2 + 11*x - 6. Let o be z(9). Let v be o\/(-24)*1*-2. List the prime factors of ((-41)\/(-3))\/(v\/6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1798)\/522 + (2 - (-24)\/(-9)). Sort s, 0.1, -1.\nAnswer: s, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose 0 = -4*s + 2*j - 6 - 2, -5*s - d*j = -8. Which is greater: 3\/5 or s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10 + 18158\/1232)\/(-9) and -145\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n**2. What is l(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -46.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 652, 234, -464, -1442, -2700, -4238, -6056?\n\"Answer: -140*b**2 + 2*b + 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from myevmmyzyedmdeevd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 26118?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5108116610.\nAnswer: 2, 5, 41, 12458821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010 + -100010110?\nAnswer: -101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -10, -1, -2 in ascending order.\nAnswer: -10, -2, -1, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 10 = 5*s, -3680*z - 5*s - 37 = -3684*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.39 + 7.8. Let i = 5.41 - x. Let w = -1 + 4. Which is the nearest to -0.1? (a) w (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 25 + 7*q - 12.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*q**2 - 54*q**2 + 544 - 110 + 99*q**2 - 436*q.\nAnswer: 2*(q - 217)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 15*u + 33. What is f(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2 + -4 + -1 + sqrt(65)\/sqrt(5).\nAnswer: -5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 2*g**2 - 3*g + 1. Let j(t) = -3*t**3 - 2*t**2 + 3*t - 2. Calculate -3*j(i) - 4*v(i).\nAnswer: -3*i**3 - 2*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + 1601. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 3*s - 13. Let z = -39 - s. Let k be 1158\/165 + z - 2\/(-11). Which is greater: k or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**0\/r*r))**44)**(2\/73))**(-6) assuming r is positive.\nAnswer: r**(-528\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 6 - 6. Let b be w\/(-10) - (-10 + 10). Let t = 1 + 1. What is the third smallest value in 0.3, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2024296 - 178?\nAnswer: 2024118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 437*i**2 - 55*i - 723. Is l(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12 and -14\/51?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489612, 489796, 490092, 490494, 490996, 491592, 492276?\nAnswer: 493042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgsggggsgg. What is prob of sequence ss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Let j be b(5). Let l = j - -5. What is the smallest common multiple of 7 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 11. Let u = y - -3.04. Let o = -4.04 + u. Which is the nearest to 2\/3? (a) -0.2 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -20\/119, 1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/40*(-17708)\/39843?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/35)\/(24\/14)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179450 and 4810.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.137007 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6788.\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3*d - 7. Let o = 5 + 0. Let b be v(o). Factor -15*h**b + 3*h - 9*h**2 + 2*h + h.\nAnswer: -3*h*(h + 1)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**2 - 100*l + 6. Let k be n(12). Is k smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2175582.\nAnswer: 2, 3, 71, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, v: 1, p: 1, a: 1, x: 1}. What is prob of sequence pmx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36\/11, 7, -6\/1429, -1\/4, -3?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28678\/8961 - 332\/103. Which is the nearest to 11\/2? (a) x (b) -0.5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*b - 1 - b - 1 + 1 + (4 - 4 - b)*(3 - 1 - 1))*(1 + 0 + 0 - 4 + 4 + 1 + (-5 + 4 - 1)*(3 - 1 - 4)) in the form x + l*b and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (281\/3372)\/(0 - 1) + (-700)\/1008?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72360967\/648 + -111668. Find the common denominator of r and 29\/12.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*100\/750 + (-1886)\/30.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5225 bigger than 5239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, 1, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = 2*m - 0*m, 8 = 4*w. Let k(c) = c**3 + 5 + 3*c**2 - 6*c**2 - 5*c + 2*c**2 - m. Determine k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 900.7944 centuries?\nAnswer: 90079.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216804515441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23878*l**4*q + 2*l**2*q**2 - 196*q**2 - 50*q - 1 wrt l.\nAnswer: 95512*l**3*q + 4*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69251 or -69250?\nAnswer: -69251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/(-85))\/((-658)\/(-35)). Let h(p) = p**2 - p. Let q be h(1). Is q at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = -6*y - 12, -b - 31 = b - 3*y + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14425778 rounded to the nearest 10000?\nAnswer: -14430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 - 36115464*q**2 + 108693894994608*q = 0. Calculate q.\nAnswer: 0, 6019244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 7 + 0)*(-3 - 4 + 3)*(-44*f + 22*f + 25*f)*(f + 0*f - 3*f) to the form w*f**2 + z*f + p and give w.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 8*y - 85. Let w be j(-14). Sort w, 2, -4, 4 in descending order.\nAnswer: 4, 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 + 2*u - 4. Let a(i) = -7*i**2 + 2*i - 5. Let p be ((168\/18)\/(-7))\/(1\/3). Give p*a(c) + 5*q(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31274*c**3 + 2017 wrt c?\nAnswer: 93822*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200464 divided by 777?\nAnswer: -2832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/59276 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = -2. Let y(r) = r. Let g be y(j). Suppose g*l - 22 - 37 = -2*c, -6 = 2*l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 o when three letters picked without replacement from {g: 1, j: 1, o: 8, c: 4, d: 4, l: 2}?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21473239 or 193259138\/9?\nAnswer: 21473239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 - -5. What is the closest to k in 3, 2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 9. Let n(s) = -s**3 - s**2 - s + 1. Calculate the remainder when n(t) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 2:58 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3505? (a) -0.2 (b) 7\/3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 - f + 1. Let u be b(1). Suppose p = -4*a + 26, -p + a + 3 - 2 = u. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71010657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 1. Let y(o) = -17*o**4 - 14*o + 3. Let v = 8 - 6. Suppose v*b + 6 = -b. Let r(k) = b*y(k) - 6*g(k). Find the second derivative of r(d) wrt d.\nAnswer: 408*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 26*b + 31. Let g be f(27). What is the closest to 0.1 in g, -4\/3, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-496)\/(-4) - -16) + 1 + 0. Suppose 1537 - b = u. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/10)\/(8\/(-700)*-5). Calculate the common denominator of 1\/6 and 8 - 9 - (-1 - (-53)\/r).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.64 - 0.34. Suppose -3*s = -681 - 111. Let p = s + -2109\/8. What is the nearest to l in 1, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 58. Suppose 3*u - 12 = -3*l, -3*l - 2*l = -3*u - 4. Is u >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuueeuuueuuueeu?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 1, d: 2, g: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -12300342230?\nAnswer: -12300342240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 8:43 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -25, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14048 is divided by 414?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -36*o**2 + 1. Let i(g) = 1033*g**2. Calculate p(i(t)).\nAnswer: -38415204*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2 + 5. Suppose -4*q - 66 = y*h - h, -132 = 4*h + 4*q. Let l = -24 - h. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3838 * 0.17\nAnswer: 0.235246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 23?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -45 + 0*c + 0*c**2 - 1\/42*c**4 + 10\/63*c**3. Factor f(v).\nAnswer: -2*v**2*(v - 5)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1310)\/(-45) - ((-8547)\/(-20790) - -4*6\/(-80))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17049.05828 - 4526.\nAnswer: -21575.05828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.09 (b) -5 (c) 185 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543094?\nAnswer: 2, 383, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81829, 81878, 82011, 82270, 82697, 83334, 84223, 85406?\nAnswer: 86925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 20424014044?\nAnswer: 20424014041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r - 2*r)*(0 + 4*r + 4 - 1) + (6 - 6 + 5*r)*(3*r + r - 5*r).\nAnswer: -13*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-7)\/(35\/20). Suppose 0 = g*w - 9*w + 9. Solve -2*u + h + w = -2, 1 = -u - 3*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20285861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -3*z**2 + 7 + 2*z**3 - 10 - z**3 + 3*z. Suppose p(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -292\nAnswer: -3\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4151)\/(-35))\/((-6)\/30). Let j = -226 - u. What are the prime factors of j?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v*w**5 - v*w - 200671*w**5 + 2913094*w wrt w?\nAnswer: 100*v*w**3 - 4013420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2\/19*c**4 - 8\/19 + 16\/19*c - 4\/19*c**3 - 6\/19*c**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187109908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2080*s**3 - 40*s**2 + 2*s + 24. Let v(p) = p**3 + p**2 - p + 6. Let k(n) = -4*v(n) + w(n). Find the third derivative of k(j) wrt j.\nAnswer: -12504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422 (base 11) to base 7\nAnswer: -5235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 - q**5\/15 - q**4\/6 + q**3\/2 - 3*q**2. What is the remainder when 55 is divided by b(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 5}. Give prob of picking 1 p and 1 f.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8122873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-11)\/(-13) + -1 + (-18886)\/(-2769))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 706.8508 litres to millilitres.\nAnswer: 706850.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30723 and -4.\nAnswer: -122892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1471, -1473, -1475, -1477, -1479, -1481?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 + 10*t**4 - 12*t**3 - 44*t**2 + 74*t - 30.\nAnswer: 2*(t - 1)**3*(t + 3)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025668765 rounded to 4 decimal places?\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 46*w. Let p(n) = 6*n**2 - 5. Let m(u) = -4*u**2 + 3. Let b(k) = 5*m(k) + 3*p(k). Determine h(b(x)).\nAnswer: -92*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -12165?\nAnswer: 1\/12165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2928 + 3875 = -260*c - 8413 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 9*q**2 + 12*q + 15. Suppose 13*t - 8*t = 15. Let u(s) = -s**2 + 5*s - 16. Let d be u(t). Give h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213 - ((-7 - (-1 - 7)) + 5)?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6*y**2)*(101*y**3 - 214*y**3 - 3*y - y**2 + 102*y**3).\nAnswer: -66*y**5 - 6*y**4 - 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 28 + 3 - 46)*(2*y**4 - 4*y**4 - y**4) in the form x*y + i*y**2 + c*y**4 + z*y**3 + g and give c.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 2*s**3 - s**3 + (2*s**2 - 3*s**2 + 2*s**2)*(0*s - 10*s - 3*s) in the form d + u*s**2 + v*s + g*s**3 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtctqtcnclqttcttltt. What is prob of sequence lq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/22 - 32997\/(-2244) - 40\/(-4)?\nAnswer: 101\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose -d - 4 = -v*d. Solve -d*w = -2*f - 4, -5*f = w + 3*w - 35 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12110 (base 3) in base 6?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105760692 to the nearest integer?\nAnswer: 10284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 0, 0 = 6*j - 2*j - 4*z - 64. Calculate the greatest common factor of j and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1476031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 28*c**3 + 10*c**2 - 5*c. Let y(f) = -14*f**3 - 4*f**2 + 2*f - 1. Calculate 2*u(j) + 5*y(j).\nAnswer: -14*j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.3 + -23.5. Suppose -5*z + 5*y = 0, -z = -2*z + 3*y - 10. What is the closest to -0.1 in g, -1\/2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3338.8 and -31172.313897.\nAnswer: -34511.113897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -27. Suppose -2*s + x*s - 396 = 0. Suppose -g + s = 2*g. Round g to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580719069+-1.96\nAnswer: 580719067.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 18. Suppose -10 = d - 6*d. Suppose 67*g + 156 = 106*g. Solve -d*l = -w*l + g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1399.5 + 1400. Which is the closest to -1? (a) -3\/8 (b) 4\/5 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9509*u - 14429*u + 23897*u.\nAnswer: -41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67343\/9 - 67259\/9. Determine h so that 0 - 94\/3*h**3 + c*h**4 + 88\/3*h**2 - 8*h = 0.\nAnswer: 0, 1\/2, 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -1 + 3 + 3 - (sqrt(80) - ((sqrt(80) - (0 + sqrt(80) - sqrt(80))) + -2))) + (sqrt(80) + 0 + sqrt(80))*6 + -2 + -3*sqrt(80))**2.\nAnswer: 74*sqrt(5) + 6846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 544773380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*a = 21, -4*k + 0*a - 2*a = -10. Let d = -290 + 286. What is the third biggest value in k, 0.016, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -0.4 (c) -3 (d) -4 (e) 2\/21 (f) 192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46926.61km to centimeters.\nAnswer: 4692661000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5780*x - 17934. What is f(-3)?\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 815*q - 4976. Give o(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sinibxu. Give prob of picking 1 u, 1 b, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - 1 + 1)*(j - j + 3*j**4) + (-1 - 3 + 5)*(-4*j**5 + 2*j**5 - 2*j**4 + 4*j**5).\nAnswer: -16*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 984442\/9 or 109382?\nAnswer: 984442\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76862*w + 2485 = -76791*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -16*k**2 + 0 + 0*k + 17\/6*k**3 + 1\/24*k**4 + 2\/15*k**5. List the prime factors of r(4).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**4*o**3 + 2*a**3*o**3 + 6*o**3 - 56*o**2 wrt a.\nAnswer: 12*a**3*o**3 + 6*a**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r + 2*r + 0*r)*(-5 - 10 - 4)*(-4 - 3 + 5).\nAnswer: -190*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 44*a**3\/3 - 278. Let b(y) = y. Let j(h) = 4*h. Let n(u) = 5*b(u) - 2*j(u). Give c(n(i)).\nAnswer: 396*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1421 - -1501. What is the remainder when 414 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 - y**3\/2 + 3*y**2 + 2*y - 8 = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*n**3 + 1309*n**3 - 648*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -5*u - j = -122. Suppose 6 - u = -z. What is the remainder when 34 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/(((-21)\/1986)\/(-7)). Let n = -221 - s. Let g be 5\/(n\/4) - (-1540004)\/(-22). What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1099, -4865, -11179, -20029, -31403?\nAnswer: -45289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003714526 to seven dps.\nAnswer: -0.0000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 622143763 and 1307.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, r: 1, j: 1, q: 1, u: 1}. What is prob of sequence uv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(34) + sqrt(34) + sqrt(34) + sqrt(34))*3)\/(sqrt(8)*-4 + (sqrt(2) - sqrt(16)\/sqrt(128))))**2.\nAnswer: 88128\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1\/11, 35, -2, 5, 1710.\nAnswer: -2, 0.03, 1\/11, 5, 35, 1710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/204 and -19\/5235348.\nAnswer: 89000916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = -152. Let k(c) = 5*c - 278. Let j be k(41). Let d = o + j. Solve -d*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 766643946*y**3 + 1103077*y**2 + 139*y wrt y?\nAnswer: 4599863676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**3*w**2 + 9359287*h**3 - 20*h**2*w + 7135*h**2 + 154*h*w**2 - h wrt h.\nAnswer: -30*w**2 + 56155722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581912 less than 60.931?\nAnswer: -1581851.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 182925.9103 rounded to the nearest 100?\nAnswer: 182900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2187*a - 81\/2*a**2 + 1\/4*a**4 - 9*a**3 + 59049\/4 = 0. What is a?\nAnswer: -9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 222 = -4*g, -4*g + 110 = -2*g - f. Let o = -4531\/10 + 459. What is the common denominator of (-66)\/32*g\/(-12) and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 18377249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 77147 = -3*w, 5*m - 3061 = -2*w + 93378. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50505 and 9954?\nAnswer: 23939370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(2 - 0))\/((-2)\/31). Suppose 0 = -6*r + 494 + v. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2995 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2 + 6379*g**2 + 0 - 6389*g**2. Let m(t) be the first derivative of -t**3\/3 - 2. Give -j(s) + 6*m(s).\nAnswer: 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 85*v + 2470. What is the tens digit of r(84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from bkbkbdcokbkbdckb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*b - 50 = 75*b. Solve b*x = 3*w - 11 - 15, -2*w = 2*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 7*b - 3*b + (-3 - b + 3)*(1 - 3 + 1) - 5*b - 9*b + 4*b + 1)*(-b**3 - 4*b**3 + 3*b**3) to the form x*b**2 + r + u*b + z*b**3 + n*b**4 and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2. Suppose 0 = -830*j + 856*j. Let p(u) be the second derivative of -1\/3*u**3 - u + 0 + j*u**2. Calculate p(k(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.2. Let l = d + 0.4. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -3)*5\/(-10). Solve -r*s + 5*s = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 15 + -16 + -23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvugvvqquvu. What is prob of picking 1 v and 1 g?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let n be -5 + (-288)\/(-30) + -5. Let f = 4.2 + -4. Which is the closest to h? (a) 0 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8120680?\nAnswer: 2, 5, 203017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n**3 + 2*n + (-4*n**2 + 2*n**2 + 3*n**2)*(-3*n + 0*n + 4*n) + 4*n**2 - 4*n**2 + 2*n**3)*(2*n - 1 + 1).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -60, -135, -240, -375, -540?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 1088762250*r - 59270161851253125.\nAnswer: -5*(r - 108876225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447029*o - 447028*o + 5*p = -67, 0 = -8*o + 4*p - 404 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0389998 hours to days.\nAnswer: 0.084958325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggpgggggggggg. Give prob of sequence ggpg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64415359 to the power of 1\/2, to the nearest integer?\nAnswer: 8026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 396089041 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.57, 3.66, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + o**2 + 3*o + 3. Give t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let t(i) be the first derivative of -4*i**3\/3 - i**2\/2 - 6. Give t(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - o**4 - 3 + (-25*o**2 + 51*o**2 + 5*o**2)*(-o - 3*o + 2*o)*(-o + o + 2*o).\nAnswer: -125*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7374974 to the nearest 1000.\nAnswer: -7375000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -0.2975768451?\nAnswer: 0.0975768451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/j*j*j*j**(2\/9))\/(j**(1\/2)\/j)**(-10\/9) assuming j is positive.\nAnswer: j**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-12))\/((-63)\/14*4\/(-108)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2616, 42 in descending order.\nAnswer: 42, 1, 0, -2616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-150))\/(28\/(-35)). Let k(f) be the first derivative of 0*f - 4\/5*f**5 + q*f**6 + 5\/4*f**4 + 4 + 0*f**2 - 2\/3*f**3. Factor k(i).\nAnswer: i**2*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 490 = 5*o, 0 = -5*o + 2*a - 4*a + 497. Let s = -1189\/12 + o. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y - 15. Let d be y\/6 - 38\/(-4). Calculate the greatest common divisor of d and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**6)\/p*p)\/(p*p*p\/(p**7\/p)*p))\/((p*p**(-4))\/p**(-3\/8)) assuming p is positive.\nAnswer: p**(101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/18)*p*p\/p**(-1\/15)*p assuming p is positive.\nAnswer: p**(361\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -500 - -192.74. Let q = -309 - p. Round q to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 14 (b) -6 (c) 2 (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59921, 119757, 179517, 239207, 298833, 358401, 417917, 477387?\nAnswer: 536817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 411147 and 15.\nAnswer: 2055735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156) - (sqrt(156) - sqrt(156)*-2)*3)*-2)\/((sqrt(120) - ((sqrt(120) + sqrt(120)*-2)*-5 + sqrt(120)))\/(sqrt(90)*6)).\nAnswer: 1728*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 238\/21 + (-4)\/3. Suppose -k = 4*b - m, -2*b = -3*k + b. Solve 0 = 2*x + k*n - 6, 0*n + 8 = 2*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 18, 0.5, 0.2, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*t = -146*t - 165*t + 20436. Let b(i) = 14*i**3. Let c be b(1). Let s = 54 + c. What is the remainder when s is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -0.072\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 12 = -2*b, 0 - 4 = -g + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 76 = 4*y - 79, 0 = 2*y + 2*r - 2. Let p(z) = -z**3 - 2*z - 10. Give p(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222317 or 223052?\nAnswer: 223052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 (base 11) in base 2?\nAnswer: -100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.882 rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50064 + 100189. Suppose 0 = -6*t + 3*t - 15, -u + 5*t = -q. What is u rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1 = -a + 6, 9*t - 5*a - 4 = -53 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/3 - 32\/15. Sort 1, -3, p.\nAnswer: -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21001076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(1 - m - 1) - 3*m + 2*m - m - 159*m - 3 - 142*m + 170*m as d + k*m and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142876337 is divided by 11568?\nAnswer: 11537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44.289 and -40.9.\nAnswer: -1811.4201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + d - 7 = 2*d, -v = 5*d + 15. Let w be 105\/(-175) - 163\/(-5). Let a be (w + -44)*(-2)\/6. Put 7, a, v in decreasing order.\nAnswer: 7, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + 1*sqrt(1377) - sqrt(1377)) + 2 + 1 + sqrt(1377) - (2 + sqrt(1377) + (sqrt(1377) - (-4 + sqrt(1377)*-1))))*6 + 3)*-4)**2.\nAnswer: 51840*sqrt(17) + 3176208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e0c1a - -9?\nAnswer: -2e0c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2944 - 236 = -1060*i. Suppose 3*s + 96 = 4*s. What is the remainder when s is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/4, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 358\/5. Let i = -12167 - -12151. Let u = 0.5 - 0.5. Which is the closest to y? (a) i (b) u (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146852 is divided by 11290.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*a - 42, 14 = j - 3*a + 6*a. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 1. Let f(n) = n**2 - 6*n + 4. Let t be f(6). Suppose -5*i - 4*k = 14, 5*k = t*i - 3*i - 3. Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -15. Let r be (-4)\/(-12) - j\/(-3). Solve -r - 8 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 315.958966?\nAnswer: 315.958966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416470 is divided by 83291.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794 a factor of 1775808258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from fxmfgmo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 68*g**2 - 58*g + 45. What is the remainder when w(33) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 0.4, 2, 1.0609, 2\/13, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 - 491. Let n = f + 137. Which is smaller: n or -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2 + 4*u + 101. Let q(a) = -12*a**2. Calculate t(q(z)).\nAnswer: 1008*z**4 - 48*z**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -15782 + 15782 - 4*m**2. Let z(o) = 41*o. What is k(z(y))?\nAnswer: -6724*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*v + v - 309, 4*c + 1281 = v. Let w = c - -3535\/11. Suppose -8\/11*t**4 + 10\/11*t + w*t**2 + 4\/11 - 2\/11*t**5 - 8\/11*t**3 = 0. What is t?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 178, 409, 732, 1147, 1654, 2253?\nAnswer: 2944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 5*f**2 - 2*f + 2. Let l be y(6). Let h = l + -28. Do h and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose 5*d = 6*l - 3*l + 134, 0 = 5*d + 5*l - 110. Let s = 76\/3 - d. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b, -b + 4 = 3*n - 3*b. Let w(o) = 12053 - 27*o**n - 12053. Let i(f) = f**2. What is i(w(v))?\nAnswer: 729*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23522 + 23080.49. Round h to the nearest integer.\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 234.5 - 240. Which is the closest to v? (a) 3 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5682001388 and -0.76.\nAnswer: -5682001388.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llvq when four letters picked without replacement from {k: 3, v: 3, j: 1, x: 1, q: 1, l: 2}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 139, -1, 144, 5 in ascending order.\nAnswer: -8, -1, 5, 139, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -248, -254, -272?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34314.21295 rounded to the nearest ten?\nAnswer: -34310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/2*(24\/(-3))\/8. What are the prime factors of (-2444)\/(-47) - 2\/(a + -1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 2*o - 1. Let i(t) = 5*t**2 - 4*t + 2. Let u(p) = i(p) + 2*r(p). Let c(j) = -64*j + 1. Give u(c(a)).\nAnswer: 4096*a**2 - 128*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 15*p = -2*r + 14, -3*r + 23 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/11 - (-4)\/22. What is the highest common divisor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**2 + 68*j - 5739. List the prime factors of v(85).\nAnswer: 2, 32533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388953 = -77*v + 293998 + 16825. Is v a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v - 6. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 23. Suppose i = 2*y - 3 - 7. Does 11 divide 274\/y + (-11)\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3 - 2870\/(-959)). Let z = -147 + d. Which is the third smallest value? (a) -4 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*y + 5*y + 18, -3*y + 4*j = 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4850830*y + 12732018 wrt y?\nAnswer: 4850830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -27*f + 29*f. Suppose -1 = 3*i - 7. Suppose -2*u - i = 2, -5*u = -3*k + 19. Solve -25 = f*x + k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252823 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-490)\/(-1176)*24\/(-320).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzyzyk. Give prob of picking 1 p and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-448)\/(-40))\/8)\/(-1) - (1 - 1)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose m = 5*l - 2*l - 3. What is the second derivative of 4 + 3*a - 3 - a**4 - l wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 - (34 + -5 - (-62 - -82)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 11) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/3)\/(2\/(-10)) - 11957\/(-35871)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -5*q + 2*v, -2*q + 29 = 5*v. Suppose 36 + 12 = 4*c. What is the least common multiple of c and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 6*i**2 - 8. Give w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 386712456?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -269. Let l = g - 282. Sort -4, -2.2, l in descending order.\nAnswer: l, -2.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*n + 474*n = 4*z - 8, 2*n + 24 = 4*z. Solve -4*t - 4*x = -t + 12, 5*t - z*x = -20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3)\/(12\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by 3\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2 and 89\/1112?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - l**4 + (193*l**2 + 132212*l - 132212*l)*(-l**2 + 4*l - 4*l) to z*l**3 + t*l + s*l**4 + a*l**2 + b and give s.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 7*o**2 - 2111*o + 2111*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2126880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/256)\/(2\/(-4)) + (-18 - -14).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1143 divided by -127\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192033*d - 4493?\nAnswer: 192033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45675 and 125?\nAnswer: 228375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8576*c + 17058*c - 35133*c - 3753*c)*(3*c - 3 + 5 - 2*c) in the form b*c + a*c**2 + x and give b.\nAnswer: -60808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/30)\/((-128)\/(-80)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -55 in descending order.\nAnswer: 5, 1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26 - -175.74. Let r = -165.7 + z. Let a = r + -10. What is the fourth biggest value in a, -3, 2\/7, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401\/7 - -57. Let n = 85\/3 - 28. Which is the closest to -2? (a) -0.4 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 40 = -4*m. Sort -3, m, -5, 7 in descending order.\nAnswer: 7, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + 19 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 16*o**5 + 1744*o**4 + 37645*o**3 + 534047*o**2\/2 + 695533*o + 928853\/2 = 0.\nAnswer: -83, -31\/2, -19\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 15. Calculate the smallest common multiple of c and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422635.\nAnswer: 5, 181, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2400) + sqrt(2400))\/(sqrt(72)\/(sqrt(42)\/sqrt(7))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cckc when four letters picked without replacement from {b: 7, e: 2, c: 3, f: 1, k: 1, y: 3}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.029 (b) -10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/60 + h**5\/60 - h**3\/6 - 11*h**2. Let o be w(2). Let f = o - -22. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -7, -11, 364, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -19. Let g = -17.7 - y. Let n = -0.3 + g. What is the nearest to 0.1 in n, 4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.03. Let m = -3.97 + u. Let b = 5.1 - 5. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 89 = -113. Let l(i) = -27*i**3 - i - 1. Let g be l(-1). Suppose f*q = g + 51. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aann when four letters picked without replacement from anananaaaaaaanna.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11202100 (base 3) to base 2.\nAnswer: 110110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + 2 + 4*sqrt(11)*-1 + ((sqrt(132) - (sqrt(132) + (-5*(sqrt(132)*4 + sqrt(132)) - sqrt(132)))) + sqrt(132))\/sqrt(12) + -3)**2.\nAnswer: -144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(0 - 3)\/6. Let g = 6 - s. Suppose -3*x - 15 = 0, -2*f - f + 14 = g*x. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5240571 or 26202858\/5?\nAnswer: 5240571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q**3 + 18*q**2 + 8*q + 7. Determine j(-3).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207498*h = 207502*h. Let 0*v + 10\/9*v**3 + 8\/9*v**4 + 2\/9*v**5 + 4\/9*v**2 + h = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -792, 4, -2, 5, -11 in decreasing order.\nAnswer: 5, 4, -2, -11, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -a8ac12?\nAnswer: a8ac11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/107632 and 59\/6700?\nAnswer: 180283600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o = 49 - 80 - 169. Let t(y) = -2*y + 9. Let i(c) = -c + 6. Determine o*t(a) - 7*i(a).\nAnswer: -3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-120))\/((-1)\/(-5)*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44196 + -7389. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.5. Let p = q - -0.1. Let z = 0 + p. Which is the second biggest value? (a) 0 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-12)\/4)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*q + 4*j, 0 = -4*j + 32 - 16. What is the second derivative of -q*l**4 + 13*l + 112*l - 57*l**4 - 100*l**4 wrt l?\nAnswer: -2136*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*k - 0*p - 4*p, k + 3*p = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 72 = a. Suppose 0 = 5*o - 5*b - 20, -o - 4*b + a = 3*o. Suppose o*h - h - 56 = 0. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - d + 8*d + (69 + 12 + 139)*(-4 + 2 + 3)*(0 + 0 - 2*d).\nAnswer: -430*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 32*x**2 - 47*x - 2614. Give c(35).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/86*24\/15. Are o and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2743041*k**3*y**2 - k**3*y + 6*k**3 + 4*k**2*y**2 + 13487280*k*y**2 wrt k?\nAnswer: -16458246*y**2 - 6*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201.8 - -183. Let l = -23.52 + m. Let u = l - -41. What is u rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141280252*h**4 - 113265295.\nAnswer: -565121008*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(288) - sqrt(288))\/sqrt(9)*-2 + (sqrt(32)*1 + 5 + 1*sqrt(162))**2.\nAnswer: 162*sqrt(2) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(180) + -3*sqrt(180)*-6 - (3 + (2 + sqrt(180) + sqrt(180))*2))**2 + -5.\nAnswer: -1800*sqrt(5) + 40595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321 and 1712?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14*m - 24. Let o(a) = -3*a - 5. Let q(z) = -3*l(z) + 16*o(z). Let r be q(-7). Suppose i + i = r. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-7 - (-33 - -14)) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8440.96 days to seconds.\nAnswer: 729298944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98.49083 centuries?\nAnswer: 118188.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/9 and -5\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25414 + 25414 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7784, 8412, 9040, 9668, 10296?\nAnswer: 10924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*l**2 + 670*l**2 - 143*l**2.\nAnswer: 1085*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 12680584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxxffxffxffx. Give prob of sequence xxf.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 13, g: 3}. What is prob of sequence iigg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**7\/280 + 7*y**6\/40 - 41*y**5\/16 + 153*y**4\/16 + 43*y**2 - 21*y. Suppose u(m) = 0. What is m?\nAnswer: 0, 2, 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32777341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 330*g**5\/7 - 664*g**4\/7 + 8*g**3\/7 + 660*g**2\/7 - 338*g\/7 + 4\/7 = 0.\nAnswer: -1, 2\/165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 300 - 74. Let x = f + 117. Solve -24 = -4*j - 0*d - x*d, -2*j = d - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 4*d**2 + 7*d + 4. Let n be h(6). Let y be 40\/2*n*2250. Round y to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l = -4*o - 25, -25 = -4*o - 5*l. Suppose -5*u - 76 + 241 = o. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5217467 = 78*c + 599539. Round c to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 853039316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/7199 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 232446 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*p**2*v**3 - 5*p**2*v**2 - 55*p**2*v + 10*p**2 - p*v**2 - 748*p + 11*v**3 wrt p.\nAnswer: 26*v**3 - 10*v**2 - 110*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56885 and 2716375?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000615 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -337*j**6 + 2*j**2 + 11*j wrt j.\nAnswer: -40440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6 + 3*w**2 - 3.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16046.\nAnswer: 2, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) -660 (c) 0.03 (d) -3 (e) -0.4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2601 + 8007\/2*k + 105\/2*k**3 - 2909\/2*k**2 - 1\/2*k**4 = 0.\nAnswer: 1, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145983435*w - 17*w**2 - 145983435*w.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 6\/5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n**2. Let s(b) = 2*b**3 - 19*b**2 - 15*b - 1. Let v(o) = 3*h(o) - s(o). Let i be v(-15). Solve 5*c - 2*j + 5 = -0*c, c + i = 2*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001199544 to 7 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 13380*p**2 - 13*p - 13380*p**2 in the form v*p**3 + o + z*p + r*p**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 + 1.404. What is z rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1324.2 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w - 9 = 0. Suppose -3 = 3*r - w. Solve 0 = -r*h - 1 - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 5*p**2 - 1. Let y be h(-5). Suppose -4*k = m - k - 10, 2*k = 2*m + 4. Let j = m + y. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32490 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 14}. Give prob of picking 1 f and 1 n.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -123929832, 0 in decreasing order.\nAnswer: 0, -1, -123929832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v + 15*v - 15 - 2*v. Let o = -4 + 1. Let l be (-3 - o)\/(4 + -2). Determine t(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421.6 times 208\nAnswer: 87692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47935 divided by -11\nAnswer: 47935\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 8*u - 1029. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*r - 14*r + 9*r)*(-r + 4*r + 11*r).\nAnswer: -280*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 407 = -4*d, -8*x + 12*x - 3*d = 526. Let g(s) = 7*s**3 - 5*s**2 + 7*s - 7. Let n be g(4). Suppose 6*v = x + n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4327 - -1144?\nAnswer: 546b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 821 = -5*v, 2*m + 491 = 3*v + m. What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/9)*z)\/(z*z\/(z**(12\/5)*z))*(z*(z*z**(-2\/41)*z)\/z*z*z)\/z**(33\/2) assuming z is positive.\nAnswer: z**(-35809\/3690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 + 1. Let j be u(1). Let i = 0.29 - 2.29. Which is the closest to i? (a) j (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300))*-5 + 0)**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Suppose z = -t + 5*t + 31, -s*t + 88 = 4*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -66. What is the second biggest value in y, -3, 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r**2 + 8*r**2 + 26*r**2 + (r - 5*r + 3*r)*(-385*r - 154*r - 246*r + 214*r).\nAnswer: 591*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419534 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340760*d**2 - 113590*d**2 - 113606*d**2 - 113565*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 4*v + 6. Let d be c(-3). Let y(g) = 4*g**2 + 4*g - 1. Let p(u) = 5*u**2 + 5*u - 1. Determine d*p(a) - 4*y(a).\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:47 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 2096, 3249, 4502, 5873, 7380?\nAnswer: 9041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:42 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 16070. Suppose 4*p = -2*y + 1486, -3*y - 3*p + a = 1000. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from eeeheeeeeeeheeeeeehe?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 4.02. Which is the closest to -3\/2? (a) -0.5 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125689*l**6 + 62527*l**2 wrt l.\nAnswer: 15082680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/20 at least -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4 + 23*c**3 + 79*c**2 + 57*c = 0.\nAnswer: -19, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**8\/588 + r**6\/105 - r**4\/42 + 7*r**2. Solve k(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1268 - 856?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/3, -0.3, -35, 3.92, -2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 45*v**2 + v - 40. Let y be o(45). Let q(u) = u. Let h(d) = -3*d - 1. What is y*q(z) + h(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -217736, -217740, -217746, -217754, -217764?\n\"Answer: -p**2 - p - 217734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -125. Let z = -48 - d. Let a = z + -31. Put -2, 0.5, a in decreasing order.\nAnswer: a, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12574953, -12574956, -12574961, -12574968, -12574977, -12574988?\nAnswer: -12575001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 3*g - 2. Let j be w(-4). Let s(u) = -2*u - 4. Let o(n) = 7*n - 67 + 3*n + 87. Let c(y) = 3*o(y) + 14*s(y). Determine c(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6. Let f = 249 - 242. Let n(z) = -z**3 + 8*z**2 - 4*z - 15. Let v be n(f). Solve w = 1, -4*o + j - v = 2*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30794\/(-519))\/((-2)\/3603) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1510.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -68*w + 6*w - 140*w + 109*w. Give n(1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 3*f + (0 + 0 + 2*f)*(-6 + 1 + 3) + 2*f - 2*f - 2*f + 0*f + 4*f - 5*f + (3*f + 2*f - 3*f)*(-4 - 1 + 2).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*g + 429, 2*g + 173 = -d - 42. Let s = -75 - g. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1741159 and 75\/994948.\nAnswer: 6964636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -l - 93 - 89, -3*x = -2*l - 178. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**3 + 5*f**3 + 0*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let i = 5 - n. Differentiate 0*p**3 - 3*p**i + 5 - 2 wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40634 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/((-90)\/6)*4\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1992 and 1310496.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:03 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18) + 18\/(-567).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-952*f - 76726 + 76726)*(-1 + 0 + 0 + (-1 - 2 + 2)*(-2 + 0 + 3)).\nAnswer: 1904*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-12)\/32)\/(6\/(-72)*3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 21. Suppose 2*n = 2 - 8. What is the third smallest value in d, n, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1195*i**5 + 73655*i**4 - 1479925*i**3 + 10564965*i**2 - 22842000*i - 9787500 = 0. What is i?\nAnswer: -87\/239, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*n + 752*n - 244*n - 280*n - 187*n.\nAnswer: -223*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*q**3 - 7*q**2 - 4704.\nAnswer: -111*q**2 - 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 39 + -5 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 4*c**2 - 8*c - 15. Let u be t(6). Let o(h) = -3*h. Let a(d) = 13*d. Let x(p) = u*o(p) + 2*a(p). Let w(n) = -83*n**2. Calculate x(w(r)).\nAnswer: 83*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 5*h + 3. Suppose -5*l + 20 = 2*i, 4*i = i. List the prime factors of s(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/1*(-1)\/(-5)*(-1008)\/(-2376)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -64*v + 213 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70597?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**6)*h**(-13)*h*h assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116.48371*7.\nAnswer: 815.38597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31613094?\nAnswer: 2, 3, 127, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.06 - -0.06. Let f = 2.5 + w. What is the second smallest value in -0.1, 0, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 138.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*z - 1176, -z - 4*c + 284 = -3*c. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 7*s + 24*s + 216 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13548250*p**5 + 54416509*p wrt p.\nAnswer: 270965000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 513 + 3144 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 194265936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.63 + -0.03548.\nAnswer: 0.59452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 5*z - z**2 - 2*z**2 + 0*z**2 to b + m*z**2 + u*z and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2934, 5645, 8350, 11043, 13718, 16369, 18990, 21575?\n\"Answer: -m**3 + 3*m**2 + 2709*m + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 + 0) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:51 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -24*m + 20*m, 5 = -2*x + 3*m. Put -10, 2, x, 37 in descending order.\nAnswer: 37, 2, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347 = 13252*t - 13048*t - 327 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 68?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -5, 14, 8, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:47 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3) + 1)**2 - sqrt(288).\nAnswer: -10*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21253 - -21248. What is the nearest to 0.1 in -66, 2\/13, m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 260 = 454. Find the common denominator of 377\/264 - (y\/18 - 5) and -41\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*i = -1403 - 2101 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2373470 divided by -5\nAnswer: -474694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193609 divided by 689.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.59 from -964.14.\nAnswer: -960.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73019*a = -73029*a + 710. Solve 66*q = a*q + 2*b - 24, q + 5*b = 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 6*o = 20. Solve k = o*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -2. Let o(y) = -4*y**3 + 2*y**2 + 3*y + 3. Let i be o(-2). Suppose -4*k = -19 - i. What is the remainder when k is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 1, e: 2, a: 4, x: 2}. Give prob of picking 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -85, -101, -83, -19, 103, 295, 569?\n\"Answer: 2*d**3 - d**2 - 49*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3439694523 to the nearest integer?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/31272 and 97\/252.\nAnswer: 656712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.819 - 4.87.\nAnswer: -4.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + 2 - (11 + (-40)\/8). Solve h*a + 6*a = 114 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 8 = y, 23198 = 3*b + 2*y. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fbytftbbkbbbyf.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*g**4 + 0*g**3 + 13*g + 20*g + 3*g**3 - 88*g**4 to the form m*g**4 + d*g**3 + l*g**2 + a*g + w and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*p*s*z - 5*p - 12*z with respect to s.\nAnswer: 23*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40694051 divided by 1?\nAnswer: 40694051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7872*j - 15721. What is the remainder when ((-8)\/10)\/((-1)\/155) is divided by f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 12*d - 10. Let k be (d + -22)\/(1\/(-10)). Suppose 5*x - o = 2*o + k, -2*x = -5*o - 89. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -14*d - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(342)*-1)\/(sqrt(9) + sqrt(900)*1))\/(sqrt(72) + -2*sqrt(72) - ((sqrt(6)\/sqrt(3) - sqrt(2))*2 - sqrt(2))).\nAnswer: -4*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*h + 36 = 19, -4*h + 16 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -3*f**6\/11 - 14*f**5\/55 + 29*f**4\/22 + 2*f**3\/11 - 20*f**2\/11 + 8*f\/11 - 1. Determine c, given that j(c) = 0.\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 33*n**2 - 15*n + 5. Is v(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 41. Let k be w(0). Let t = 125\/3 - k. Factor -4\/3*z**2 + 0 - t*z**3 - 2\/3*z.\nAnswer: -2*z*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/77)\/(2\/(-28)) + 12154. Suppose 12168 = 4*d + 4*t, 17*d - 2*t = 21*d - w. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -329*k - 29*k - 1018 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.347828008 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*h**3*x**2 + 3*h**2*x**2 - 2*h*x**2 - 5*h*x - 4*h wrt h.\nAnswer: 582*h*x**2 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. Let q = 10922 - 10926.963. Let c = q - 0.037. What is the closest to p in c, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 31. Let x be (-27)\/2*g\/(-9). Suppose -4*a = -0*a - x. 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 comes next: 9, 1, -15, -45, -95, -171, -279, -425?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 6. Let b be m(-2). Let j be 4 - 12\/(12\/b). Let k(x) = x**3 - 7*x**2 - 9*x + 3. What is k(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010111001110111100011111 - -100?\nAnswer: 1011010111001110111100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4268885 is divided by 1727?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -77, -56, -9, 70, 187, 348?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10016 is divided by 619?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/27 and -32\/87?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-2))**47)**(-16\/11))**(4\/9) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 16) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107.8899*11.8.\nAnswer: 1273.10082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + x = 12, 73*i - 4*x = 68*i - 48 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 84 times 11.9\nAnswer: 999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121195693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9114?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 9581.\nAnswer: 86229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*y = 3933 + 2542 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.1 - 0.033.\nAnswer: 16.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 996\/20 - 1\/(-5). Suppose 13 + n = 3*s. Let t = 21 + -10. What is the remainder when s is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-12)\/2)*-4. Suppose 5*o - h = 512, -3*o + h + 100 = -x*o. What are the prime factors of o?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 3*q = -179, 7506*w = 7502*w - 19*q - 123 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9874\/3237 greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632 divided by 158.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h + 7. Let z = -5 + h. Let a(q) = 3*q. Calculate a(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 163, 184, 227, 298, 403, 548?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = -4*j + 54, 0 = 3*d + 4*j - 47. Calculate the common denominator of (-37)\/(-1)*d\/(-39) and -1\/74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyueyfyyuuyefu. What is prob of picking 1 y and 1 u?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66136056787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 6. Let y be (4\/l)\/((-24)\/(-36)). Which is the biggest value? (a) y (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uefu when four letters picked without replacement from doeouooeoffoudo.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149317 + 32252393\/216. Calculate the common denominator of k and -30\/7.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let u(y) = -13*y - 4. Suppose 0 = -3*v + 8*v - 20. Let s(t) = 130*t + 39. Let w(n) = v*s(n) + 39*u(n). Give w(r(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -284?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.955 + -12. Let n = -0.545 - p. Sort 0.5, 0.23, -3, n in decreasing order.\nAnswer: 0.5, 0.23, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/21 - (66\/18 + -4). Sort s, 4, -0.05 in ascending order.\nAnswer: -0.05, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5014924.\nAnswer: 2, 173, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827999?\nAnswer: 3, 101, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*o - 81 - 20, 2*h - 2*o = -54. Let j = h + 36. Solve -3*m - 4*s = -j - 0, 0 = 5*m + 2*s + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**3 - 5512*j**2 + 1361220*j - 93696624 = 0?\nAnswer: 147, 1084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/17)*l*l)\/(l**(-2)\/l))\/((l*(l**(-23)*l)\/l*l*l)\/l**(-2\/33)))**(-23) assuming l is positive.\nAnswer: l**(-322552\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*y - 143 + 43 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -265?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 6*x**2 + x**2 - 8 + 2*x**2)*(-x + x - x**2).\nAnswer: 3*x**4 - x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-13\/3)))**(2\/165) assuming i is positive.\nAnswer: i**(26\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 795 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(4 + -1) + 2. Suppose l = -q*l + 9. Solve 5*d - 2 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1645 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*g + 246*g - 363*g - 74 in the form r*g + t and give t.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - ((-3)\/1 + 2))*13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19771763 - -27875260. Suppose 8*k - 121703497 = -z. Round k to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7\/h*h*h*h**3)\/(h**(6\/7)*h*h*h**(-13)))**31 assuming h is positive.\nAnswer: h**(4588\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*w + 1004997 = 3*w, 4*w - 803996 = -4*r. What is r rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67427? (a) 3 (b) -1 (c) 0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/4 - (1 - 5). Which is the third smallest value? (a) q (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 908860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:11 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2748 or -10987\/4?\nAnswer: -2748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 798, 808, 822, 840, 862, 888?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or 3\/2?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 25. Let i = -7 + x. Calculate the smallest common multiple of 4 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**3*o**3*v**2 - 18*d**3*o**3*v + 482*d**3*o*v**3 - 2*d**2*o*v**2 + 4*o**3*v**3 wrt v.\nAnswer: 2892*d**3*o + 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 17*m**2 + 15*m + 19. Let x be c(16). Factor 0*z + 0 - 1\/4*z**4 + 1\/4*z**x + 0*z**2.\nAnswer: -z**3*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/647, -5 in ascending order.\nAnswer: -5, -2\/9, -2\/647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3737*p**3 + 46890*p**3 - 2.\nAnswer: 50627*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*d + 3*d - 17 = 0, 0 = 3*j - 3*d - 3. Solve 20 = j*u - 7*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/253 + 492\/1771. Let k(r) be the first derivative of 1\/7*r**6 + 0*r - d*r**5 - 2\/7*r**2 - 2 + 10\/21*r**3 - 1\/14*r**4. Suppose k(h) = 0. What is h?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 3\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 17509 - 17607 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q)**(4\/15)*(q\/(q\/(q\/(q*q*q**(-26)*q*q))))\/q**(-1\/22) assuming q is positive.\nAnswer: q**(2623\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -1 + 4*(-3 + sqrt(5)))**2 + 4 + 6*(-2 + sqrt(125)).\nAnswer: -360*sqrt(5) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - k - 19 = 0, -k - 81 = 3*f - 22. Let v = f + 31. Suppose 4*s + 5*i - 13 = 0, 6 + 2 = 3*s + 2*i. Solve -x = -m, 5*x + 24 = -s*m - v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132034523 - 24?\nAnswer: 132034466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/3 - 22*m**4\/3 + 24*m**3 - 64*m**2\/3 - 64*m\/3 + 32.\nAnswer: 2*(m - 6)*(m - 2)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:30 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 1724018406*o**3 + 3447901204*o**2 - 813640*o\/3 + 16\/3 = 0. Calculate o.\nAnswer: -2, 2\/50853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 41. Suppose 5*i - b = -2. Let l(w) = 9*w**2 - 5*w + 3. Is l(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 6*r + 44 = -44*k, -22 = -k - 4*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2 + 4*(sqrt(405) + 1))*5)**2.\nAnswer: 14400*sqrt(5) + 163600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vys when three letters picked without replacement from yvdsdmme?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644 a factor of 3914364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 w when three letters picked without replacement from {w: 1, k: 5, o: 1, m: 3, f: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/10 + 1\/(-5). Let g = 10 + m. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 254 and 48375697.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*r, 0 = -161*p + 158*p - 2*r + 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -647? (a) 358 (b) 2\/5 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -43 + (-2)\/(-2)*-2. Let i = c + 67. Suppose -2*k - 2*k - 2*w + 96 = 0, i = k + w. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzhwhaaaagawahhg. Give prob of sequence hw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28065, 56099, 84099, 112047, 139925, 167715?\n\"Answer: -3*m**3 + m**2 + 28052*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1188 by 11.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2119 + 1661. Let u be 10\/3*y\/(-15). What are the prime factors of (4\/(-3))\/((-16)\/u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 23. Let v = -5 + l. Let c be v\/(2 + 16\/(-10)). Calculate the greatest common factor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + z + 30 = 0, 0 = -l - 3*z + 6. Is 3694\/(((-8)\/l)\/(16\/(-24))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10066 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17356235.1999778 + 17356232. Let f = 3.2 + n. Round f to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6568 - -12854. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1260 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*r + 50 = -54*r + 10*m - 3, -3*m + 64 = 4*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -454306?\nAnswer: 454301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/5)*t*t)*t\/(t*t**(-8)*t))**35*(t**5\/t*t*t**(-4))\/(t**(-5)\/t**(3\/5)) assuming t is positive.\nAnswer: t**(1153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 59*c + 114. Let i be q(-2). Let f be -5 + (-138)\/(-30) + 0. Let o = -0.2 - 0. What is the fourth smallest value in f, o, -1\/3, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 4 + 1*sqrt(252).\nAnswer: 4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6809, 6810, 6813, 6818, 6825?\n\"Answer: m**2 - 2*m + 6810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a + 52. Let u be x(-17). Let k = 811 + u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -85, -147, -229, -337, -477?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02796 + -0.27204. Which is the third biggest value? (a) j (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331 greater than 3330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7526 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3023488.\nAnswer: 2, 13, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 47*o + 2808 + 284 = -373 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53435305 (base 6) in base 7?\nAnswer: 16252160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94182 (base 11) to base 5.\nAnswer: 13343204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16*p - 153. Give v(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-42)*(-77)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101101202 + 20012122?\nAnswer: 10121121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.54 - -0.14. Let t = f + 1.4. Let d = 2.2 + 0.8. Sort 0.5, t, d.\nAnswer: t, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*o**6 + 57890*d*o**5 - 24*d*o**2 - 1589*d*o wrt o?\nAnswer: 240*d*o**3 + 3473400*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 30 = -3*x. Suppose 0 = 6*f - f - x. What is the remainder when (f\/(-4))\/(3\/(-66)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 29. Let j be 4 - 0 - 13\/h. Solve 5 + j = g - 2*n, 4*g - n = 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6558 (b) -5\/6 (c) 17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -7. What is the remainder when 11 is divided by (o\/(-6))\/((-16)\/(-72))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 3, 17, 29, 39?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:15 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 78 + -8 + (32 - 2).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(1*9*(-584)\/2190)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009353 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-1) + -4 + 1. Suppose -2 = -2*z - y. Let g(q) = -33*q - 1. What is the units digit of g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2421\nAnswer: -1\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 372468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1328*q - 1300*q - 187*q - 1194*q + 877*q to the form w*q + z and give w.\nAnswer: -3132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let x be (-2)\/(3 - 2\/b). Let v(j) = j - 2. Let p(t) be the second derivative of t**3\/6 - t**2\/2 - t. What is x*v(h) + 2*p(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 1342891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 7. Let s be (2 - 12)*3\/6. Let b be z(s). Is (-26)\/(-3)*b\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69094 and 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1794\/65 + 12\/30. Solve 2 = -10*l - n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -140, 316, 770, 1222, 1672, 2120?\n\"Answer: -h**2 + 459*h - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269237248*h**2 + 490395*h - 239.\nAnswer: -538474496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2 + 17853800*p + 15937908722000 = 0. Calculate p.\nAnswer: -1785380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4698800 and 680?\nAnswer: 4698800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + o**2 + 7*o**2 + 3 - 3 + 7*o**2 + (-6 + 6 + 8)*(3 - o**2 - 3) to the form q + w*o + h*o**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 488.903 milliseconds?\nAnswer: 488903000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 188386548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12122222110 (base 3) in base 2?\nAnswer: -11011001110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/5 - 177*h**4\/5 - 15991*h**3\/5 + 57891*h**2\/5 - 16843*h\/5 - 24882\/5 = 0. Calculate h.\nAnswer: -58, -1\/2, 1, 3, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 - 7*p**2 + 3*p - 6. Let s = 237 + -234. Let a(t) = -275*t**3 - t - 4*t**2 + s*t**2 + 1 + 2*t**2 + 276*t**3. Give 6*a(q) + h(q).\nAnswer: -q**3 - q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 3*g**2 + 2*g**3)*((-1 - 2 + 1)*(0*g + g + g) + (-4*g - 4*g + 6*g)*(2 + 0 - 1)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 22\/(-8))*12\/(-90). Let m = 0.25 - -0.05. Let v be ((-342)\/(-380))\/(6\/(-4)). Which is the second smallest value? (a) f (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26daa + -19c?\nAnswer: 26c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37869558962 less than -0.652?\nAnswer: 0.72669558962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**5\/5 + 9*d**4\/8 - d**3 - d**2 - 8. Let x(a) be the second derivative of k(a). Determine i so that x(i) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55986147?\nAnswer: 3, 7, 293, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/126*(-1 - -1)\/1. Suppose -n + 199 + 149 = b. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 532, 96, -4 in descending order.\nAnswer: 532, 96, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -19*k**2 - 648*k - 25. Calculate o(-34).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 567528\/26 + (-5 - (-1 - -1)). Let q = d - 9596. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k*x**2 - 4163*k + 220741*x**2 - 54 wrt x?\nAnswer: 6*k*x + 441482*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z - 128. Let i(r) = -11*r - 293. Let k be i(-30). Calculate the remainder when s(k) is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 7:57 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 42*x + 430. Let m be b(24). What is the biggest value in -0.2, 5, m, -6\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + 24\/35. Suppose -5*y - 2*m + 3 = 12, -30 = 5*y - 5*m. Let g = 2.8 + -2.8. What is the nearest to g in y, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:07 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v**2)*(2*v**3 + 3*v**3 - 3*v**3) - 2082954*v**4 - v**5 + 2 - 171*v + 2082954*v**4.\nAnswer: 3*v**5 - 171*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0 + 15\/4*m**3 + 65\/72*m**4 + 6*m**2 + 20*m - 1\/72*m**5. Factor d(l).\nAnswer: -5*(l - 27)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-8)\/15)\/(-4))\/(10\/350) and 59\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, o: 11}. Give prob of sequence xooo.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 12. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*m - 3*u - 1 = -232*m, 4*u - 2 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 + p + 2. Suppose -q + 6*q - 10 = 0. Let j be h(q). Solve -3*d = 2*m + 21, d - 2*m + j*m = 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -100422?\nAnswer: 100421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116707883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -4, -11, -22?\n\"Answer: -2*k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 20*r**2 + 47*r - 57. Determine z(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(7 - -25)*(1 - 13). Let f = 359 + -243. Suppose 2*x = r*t + 244, 0 = -2*x + 5*t + 132 + f. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761.32 rounded to the nearest 10?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 4\/((-4)\/21). Calculate the greatest common divisor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -19*x. Let h(j) = -5*j**2. Calculate v(h(r)).\nAnswer: 95*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - -10) - (2 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**7\/21 + 6*x**6\/25 + 7*x**5\/50 - x**4\/5 + 29*x + 22. Let m(i) be the first derivative of r(i). What is l in m(l) = 0?\nAnswer: -3, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v + 1 + 2)*(10*v - 6*v - 5*v) + 133*v**2 - 169*v**2 - 171*v**2.\nAnswer: -209*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzmrk. What is prob of sequence mk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35176065 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 261 - 62340?\nAnswer: -62057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31142, 31374, 31964, 33092, 34938, 37682, 41504, 46584?\nAnswer: 53102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538588.3 centuries to months.\nAnswer: 646305960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.277 + -12.023. Let l = -9.3 - t. Is l at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s**4*u - 10*s**3*u + s**2*u**3 - 80*s*u**3 - 4*s wrt s?\nAnswer: 48*s**2*u - 60*s*u + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 609, 1364, 2421, 3780, 5441, 7404?\nAnswer: 9669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (-120 + 192 - 72 - (-1 - 22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/20752 and 139\/129558.\nAnswer: 1344293808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 144001 = -5*p, 25*p - 8*y - 86382 = 22*p. List the prime factors of p.\nAnswer: 2, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-30)*(-13700)\/(-10960)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = 3*v. Let h be 9 + 1 + -3 - 3. Suppose v*g - 6*o = -2*o + 18, 14 = g - h*o. Solve 0 = -g*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 37 + 73 = 0. Let f(d) = -2*d + 27. Let h be f(y). Differentiate 3 + 20 - h*b**3 + b**3 with respect to b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -3.7116.\nAnswer: -7.4232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -207*t**2 - 2250*t + 307. Give l(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/680)\/(-12)*65\/26.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + (-1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 33 = -6*s - w, 3*s = -4*w + 30. Let y(p) = 5*p - 14*p - 37 + s. What is the tens digit of y(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -287.\nAnswer: 39\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -2) + 5 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 364*k**2 + 11*k**3 - 199*k**2 - 238*k**2 to s*k**3 + h*k**2 + u*k + a and give h.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 101*t - 115*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-25)*(-132 - -37)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1534 + -1624. Sort -1, j, -5, 0, 2 in descending order.\nAnswer: 2, 0, -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.114, 8, 0.1, -1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:59 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2222, 9, 3, -5.\nAnswer: -5, 3, 9, 2222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*o - 202, o + 97 = w - o. Let p = 200 - w. What are the prime factors of p?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 18. Let l = 15 - h. Let q = l - -3. What is the third smallest value in q, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 26 = -6*m, 2*o + 31 = m + 42 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -7\/2, -3, -3.33?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1233266 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37468252 and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856 = -32*f + 150*f + 5752 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61\/420 - 5\/28. Is b greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(119)\/(-4*sqrt(343)) + -1)**2.\nAnswer: -2*sqrt(17)\/7 + 12561\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72, 64, 56, 48, 40, 32?\n\"Answer: -8*n + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*k + 24 = 5*b, 2*b - 12 = -k. Let f(q) = q**2 - 3*q - 2. Let g be f(b). Factor -4\/7*p**3 + 4\/7*p + 0*p**g - 2\/7 + 2\/7*p**4.\nAnswer: 2*(p - 1)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cd1 - -4e?\nAnswer: -1c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/105 + 5*r**4\/42 - 4*r**3\/7 + 8*r**2. Factor n(w).\nAnswer: 4*(w - 1)*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 2:30 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -5*o, -2*o - 32 = -2*q. Suppose -10 - q = 2*p. Calculate the remainder when 3*-3*(4 + p) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*w + 2\/3*w**5 + 5\/6*w**4 + 1\/6*w**3 + 0*w**2 + 0 = 0. Calculate w.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11931 = -26*s - 12165 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21037.\nAnswer: 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 5*i**2 + 3*i - 4. Let p be a(-4). Suppose x + p - 2 = 0. Solve 5*l - 24 = v, -v - x*v = l - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1. Let h(y) = -3*y**2 - 16 + 14 + 12 - 7. What is 2*h(g) - 6*v(g)?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111426744 * 1.\nAnswer: 111426744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mommddoxddddxb. Give prob of sequence mddm.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 471*x**2 - 946*x**2 + 476*x**2 - 4*x**3 to i*x**3 + p*x + m + d*x**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-75)*-2*(-20 - 1445\/(-68))\/3.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1186*c**2 + 359*c**2 - 4*c**2)*(-1 + 1 + 2 + (2 + 1 - 4)*(0 + 0 - 2) + 1 - 5 + 6)*(-1 - 3 + 3)*(4 + 0 - 3).\nAnswer: -9246*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*b**2 + 449*b**2 - 608*b**2 + 54*b**2 + 56*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3 + w + 0*w)*(-3*w**2 - w**2 - 3*w**2).\nAnswer: -7*w**3 - 21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g - g)*(10*g + 3*g + 62*g) + 2*g**2 - 2*g**2 + 2*g**2.\nAnswer: 77*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -21382?\nAnswer: 21404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away -404?\nAnswer: 403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3887741 and 63349.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145.5 times -10.606?\nAnswer: 12149.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((5*(sqrt(114) + 5*sqrt(114)))\/(2*sqrt(294) + sqrt(294)) + 3))**2.\nAnswer: 960*sqrt(19)\/7 + 37456\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2038495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4\/9)\/z*z)**(-11\/6)*((z*z**(-5))\/z)**6 assuming z is positive.\nAnswer: z**(-1675\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/4 - (-5)\/1. Suppose 3*a - f = a. Solve -1 = t - 3*o, 0 = -a*t + 3*t + o - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 14070676?\nAnswer: 154777436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31016 - 11524?\nAnswer: 18382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (2 + 2*sqrt(320))) + (sqrt(320) + 0 + sqrt(320) + -4 - sqrt(320)) + -3 + (5*(sqrt(320) + 1*sqrt(320)) - sqrt(320)))**2.\nAnswer: -1296*sqrt(5) + 26001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2510 + -2513. Which is the closest to 15? (a) x (b) -1 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 1090*o - 1406*o + 1747*o - 25 to p*o + h and give p.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {t: 1, m: 2, i: 4, u: 2, s: 4, e: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/210*-18*11\/176.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*w - 171 + 12 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 28*g - 946. Let c be p(34). Let m be (-4)\/(-6)*(1 + 5). Solve m*v = 4*l - 0*l, v = -l - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -15*j**2 - 4. Let r(u) = -16*u**2. What is r(s(a))?\nAnswer: -3600*a**4 - 1920*a**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/60 + 5*p**4\/12 - p**3\/2 - p**2\/2 - p. Let b(o) be the first derivative of s(o). What is the units digit of b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 126 = -6*d. Let i be 7386\/(-14)*-1 - 9\/d. Suppose -4*x - 3*h + i = 0, 3*x - 500 = -h - 104. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(26))\/sqrt(2) + 5.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7234 (b) 130\/7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:05 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/97)*(l\/l**(-4\/13))\/l)**(8\/3))**(2\/99) assuming l is positive.\nAnswer: l**(26800\/374517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-6))\/((-7)\/14). Let o be (-8)\/30*y*(-1)\/6. Let u = 0.03 + 0.07. What is the nearest to 0 in -4, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**2 + 13\/42*k**7 - 1\/12*k**5 + 0 + 0*k**6 - 5\/28*k**8 + 0*k**4 + 9*k + 0*k**3. Determine z, given that q(z) = 0.\nAnswer: -1\/4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 345*f + 342*f = -12, f = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times 0.9?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3179 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9456990, 18913982, 28370976, 37827972, 47284970?\nAnswer: 56741970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/5 + 28*y**3\/5 + 74*y**2\/5 - 168*y\/5 - 216\/5 = 0?\nAnswer: -9, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 14*g - 3. Suppose x + 42 = -2*x. Let j be w(x). Let r(o) = o**3 + 3*o**2 - 3*o - 3. What is r(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 3*v + 2. Let r be a(4). What is the common denominator of 2 + r - 237\/(-24) and 63\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -235 (c) -263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134, 144, 158, 176?\n\"Answer: 2*o**2 + 4*o + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (18\/(-4) - 2))\/((-98856)\/(-27460))?\nAnswer: -25\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2032*i**2 + 79240*i - 196. What is f(-39)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6182.7 rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 13 = -5*b, -36068 = -4*k - 3*b - 36069 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/10)\/(12\/(-40)). Let o be ((-2)\/(-2))\/(k\/28). Suppose 2*g - 3 = o. Put 4, -3, g in descending order.\nAnswer: g, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.344277 - 0.000467. Round j to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*c**2*m*q**3 + 69*c**2*q**3 - 28*c**2 - 27*c*m*q**3 - 12*c*m*q**2 - 2*c*q**2 - c wrt c?\nAnswer: -46*m*q**3 + 138*q**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 31 = -21. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 3*y - 8, -25*t - 22 = -21*t + 2*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -105*p + 318. Give b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6848395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -72, 24, 3 in descending order.\nAnswer: 24, 3, 1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 2, h: 2}. What is prob of picking 2 o and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 2 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 + 7*t**2 - 9. Let p be b(9). Let n = p + -5661\/2. Let f = 87 + n. Sort -4, f, 5.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 18. Let u be a(-5). Let k be 0 - -5 - (4 + -3) - 7. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -a - 5623, 7*w + 5605 = 3*w + 5*a. Let r = 4705 + w. Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 126\/(-4662)*1517?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585029487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 2, z: 4, h: 1, t: 1, f: 7}. Give prob of sequence tf.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 - 3 = 0. Let g = n + 9. Suppose g = -5*o + 2*i + 477, -o + 178 = o - 4*i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37175 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 476394.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -33, 23 in increasing order.\nAnswer: -33, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 - 1.3?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 214 - 1\/((-2)\/(-8)). Calculate the highest common factor of k and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -370, -298, -164, 50, 362, 790?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**11))\/b**7)**27 assuming b is positive.\nAnswer: b**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*m = 502*m - 756 + 108 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4887 - -4884. Sort 1\/33, 4, -0.5, y, 0.\nAnswer: y, -0.5, 0, 1\/33, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1688? (a) -1\/2 (b) -39.9 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2 + k - 4*k)*(8*k**3 + k**3 - 5*k**3).\nAnswer: -8*k**4 - 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 19, -202, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 4*a + 4. Suppose -3*l + 4*l = -30. Let z = -32 - l. Let p be r(z). Let c(s) = s**2 - 6*s + 3. What is c(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k. Let o(x) be the third derivative of -5577*x**5\/20 + 2*x**2 - 2336*x. Determine h(o(a)).\nAnswer: 33462*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 65 = 9. Suppose -g - 5 = -0*g. Let a = g - y. Solve 4*l - a*h = 1 + 21, 0 = -5*l + 3*h + 28 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-4)*48\/68\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 5*i**2\/2 + 6*i - 7. Let a be w(12). Let x = 92 - a. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 3, g: 1, r: 3, w: 3}. What is prob of sequence wr?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c + 17. Suppose -4*w = -w - 15. Solve -2*l + u - 4 = 4*u, -l + w*u = c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 31*c + 117. Let w be z(6). Let f = 477 - w. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 6 = 0. Let g be 518\/21 + z\/(-3). Let q = g + 20. What is the greatest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrcscrxxsxxrcrrrrsr. What is prob of sequence sxrc?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v**5 - v + (v**4 + 0*v**2 + 0*v**2)*(-v - v + 5*v) + 66*v - 25 + 2*v**5 - 66*v.\nAnswer: 4*v**5 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/11)*q)\/(q*(q**6\/q)\/q)*((q*q**(-5))\/q)\/q*q**(-7) assuming q is positive.\nAnswer: q**(-175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51b (base 12) to base 4\nAnswer: 23213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p. Let k(j) = 0 + 1 + j**2 - 2*j + j. Let i(d) = -k(d) - 2*t(d). What is i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j + 30. Let v = -25 - -20. Let k be f(v). Let r = k - -57. Sort 1\/2, 5\/6, -0.3, r.\nAnswer: r, -0.3, 1\/2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*j - 149*j + 11*j**3 - 14 + 76*j - 4*j**2 wrt j.\nAnswer: 66*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28*(-10 + 13 - (-12)\/(-8)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-5 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbss when four letters picked without replacement from bbbbbbbsbsbbbsbbbbbb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 19*j + 13. Let r(o) = -9*o - 6. Let v(b) = -5*r(b) - 3*w(b). Let t be v(-12). Let c = -87 + t. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5*t = -9. Let x = -1 + 0. Let s = t - x. What is the smallest value in -5\/4, s, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -5)*(50\/(-15225))\/((-1)\/(-3))\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-9 - 6) + 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 365 = 5*s, -6*s - 400 = -5*x - s. Let h = -28 + 29. Calculate the remainder when x is divided by (5\/(-2) + h)\/(24\/(-352)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 13. What is the lowest common multiple of s(16) and (60\/165)\/(-3 - 280\/(-88))?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/360 + 67*o**3\/6 + 27*o**2 - o. Let t(x) be the first derivative of d(x). Let w(b) = b**2 + 4. Determine w(t(n)).\nAnswer: n**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -349*s**3 - 15*s + 5?\nAnswer: -2094*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(108)\/sqrt(4) + sqrt(81)\/sqrt(48))**2.\nAnswer: 14283\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -29*s**2 + 25*s. Let v(k) be the third derivative of -7*k**5\/60 + k**4\/4 + 1387*k**2. What is 2*a(u) - 9*v(u)?\nAnswer: 5*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngg when three letters picked without replacement from {n: 5, b: 2, g: 3, p: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f**4*i - 15*f**4 + 4*f**2 - i wrt f?\nAnswer: -144*f*i - 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3 + 1. Let q = -4 + 5. Suppose -q = 3*p - 13. Sort p, 0, m in decreasing order.\nAnswer: p, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020730 is divided by 634.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9)\/(m\/(m*m\/(m**12\/m))))**(14\/5))**(6\/7) assuming m is positive.\nAnswer: m**(-352\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -103, -5, 947, 2, 3 in descending order.\nAnswer: 947, 5, 3, 2, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j - 2131 = -258*j + 1669. Solve -11*q + 14*q = -5*t + j, 4*t - q = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*y + 26*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 0, -3*a + 11*w - 9 = 6*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 57, -3 in decreasing order.\nAnswer: 57, 6, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -47. Suppose 13 + 17 = 3*r. Suppose -r*q = b*q + 1065. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 c when three letters picked without replacement from {u: 1, m: 4, s: 1, c: 5, q: 1, i: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 152. Let g(q) = q**3 - 8*q**2 - 10*q + 9. Let v be g(9). What is the units digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(3 + (-20)\/8). Suppose i*y + 8 = 20*y. Let b be 138\/(-15)*5\/y. Solve 0 = s + 2*k - 14, 2*s + 6*k - b = 3*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*i**2 + 6*c**3*i - 79*c**2*i - c*i**3 - 101*i**3 - i wrt i.\nAnswer: 2*c**3 - 6*c*i - 606*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344645 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 18*d**3 + 11*d**2 + 45*d - 3. Let a(i) = -5*i**3 - 3*i**2 - 12*i + 1. Let k(y) = 22*a(y) + 6*n(y). Factor k(x).\nAnswer: -2*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 476*z - 17052. Determine m(37).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153716 and 16668.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 11 = 3*i, -3*s + 2*s - 3 = -i. Find the third derivative of 6*v**4 - 6*v**i - 6*v**5 - 8*v**4 + 2*v**4 wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ddddxxxddxdddd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63367204 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: ((-30)\/9)\/(2 + -2*(-205)\/(-180))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -1)*(-20)\/(-5). Put b, -1, 4 in decreasing order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1570580280 by -2814660.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230427160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/6*(246\/(-41) - -4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*37 + 6\/3. Suppose -5*i + l = -2*i. Let n be ((-11)\/(-2))\/((-3)\/(-78)). What is the highest common factor of n and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 28. Suppose 2*p = 11*p + 81. What is the tens digit of m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949346?\nAnswer: 2, 37, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(18) + -2)*-3)**2.\nAnswer: -972*sqrt(2) + 1782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3237 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -18*y**2 - 5*y - 13. Let n be h(-6). Let x = n - -298. Let o = x - -505. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 1855 - 2721. Let q = z - 344. Calculate the remainder when 198 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**2*w**3*z**2 - 319*o**2*w*z**2 - 18*o**2*z**3 + o*w**3*z + 12*w**3*z**3 wrt z?\nAnswer: -108*o**2 + 72*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 4, l: 1, d: 6, t: 2, s: 2}. What is prob of sequence jjdj?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -343243214?\nAnswer: -343243131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 968, 1919, 2864, 3803, 4736?\nAnswer: 5663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23735 (b) -2\/9 (c) 0.4 (d) 5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 less than 645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8686195957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29016918?\nAnswer: 2, 3, 7, 167, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 0.2, -1, -0.143, 5, 39 in decreasing order.\nAnswer: 167, 39, 5, 0.2, -0.143, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1 + sqrt(1053) + -5)*-3)**2.\nAnswer: -1296*sqrt(13) + 38052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.394786 or -0.37?\nAnswer: -0.394786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13751877, -13751833, -13751789, -13751745?\nAnswer: -13751701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312012013 (base 4) in base 12?\nAnswer: -407407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/86 and -117 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 5*r - 2*r - r + 3*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:54 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n*p*w**2 + 434734*n*p*w + 2*p*w**2 - 281*p + 22*w**2 wrt n?\nAnswer: p*w**2 + 434734*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.307405.\nAnswer: -0.707405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-12)\/10)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32823 rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*w = 1, -7*a + 3*a = -5*w - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let f(n) be the second derivative of n**4\/12 + n**2\/2 + n. Let k be f(-1). Let x(p) = 0*p - p + k*p. Determine c(x(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-171 - (-269 - -82)) + (-2 - -53)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -395 + 396.605. Let b = 1.6 - o. Round b to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949344822.\nAnswer: 2, 3, 47, 1122157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**2 - w + 2. Let u(t) be the second derivative of 0 - 7*t + 2\/3*t**3 - t**2. Determine 9*q(m) - 4*u(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229775844 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 116?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2.2, 106, 2\/15, 14\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {r: 2, t: 2, x: 6, j: 8}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 13*r = -4. Suppose 4*y = 16, 5*m - r*y - 23996 = -y. Round m to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + (-3 - 9) + 36 + 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 44*r + 80.\nAnswer: 2*(r - 20)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 10*g**2 - 11*g - 12. Let b be u(6). Let i = b - -34. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1419, -1403, -1387, -1371?\n\"Answer: 16*g - 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3290.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-30)*t**4*((t**(-2\/17)\/t)\/t)**(-10) assuming t is positive.\nAnswer: t**(-65\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.1663869\nAnswer: -0.3663869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 2464638.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.2*0.4.\nAnswer: -20.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 6*r**3 + 0*r**3 + (-6*r + 2*r + 2*r)*(-3*r**2 - 3*r**2 + 7*r**2) - 8*r**3 - 91299*r + 91299*r + 85.\nAnswer: -13*r**3 + 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 135, 136, 137, 138?\n\"Answer: k + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1046*o**2 + 2*o + 1655 wrt o?\nAnswer: -2092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*u**2 + 4*u**4 + 0*u - 25*u - 115*u**2 + 214*u**2 wrt u.\nAnswer: 48*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t + 7. Let m(f) = f + 1. Let b(n) = 6*m(n) - u(n). Let a = 228 - 227. Let k be ((-13 - -21) + (a - 1))\/2. Give b(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/55 and -23\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.552969 meters to nanometers.\nAnswer: 7552969000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -65, -170, -349, -620, -1001?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*s - 2*s - 10*s + 1)*(-2*s - 3*s + 7*s) + (9 - 20 - 19)*(3*s**2 - 2*s**2 + 0*s**2) to w*s**2 + a*s + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcss when four letters picked without replacement from cxcsxbmbbxcbbfbsb.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1158*h**3 - 1192*h**3 + h**4 + 1 - 2 in the form p*h**2 + c*h**4 + x + r*h**3 + i*h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -397203.\nAnswer: -397208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 30. Let s be q(-20). Which is the closest to -1? (a) 3 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)*y)**(-24)\/(y*y**(-2\/7))**32)**(2\/51))**(21\/4) assuming y is positive.\nAnswer: y**(-80\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(242) + 1)*-1 + sqrt(242)) + 5 + 2 + -2)*-3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(156)*-1*-3)\/sqrt(12)*-1.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4 + -1) + -1. Let x be (5 + (u - 1))*1. Let h be (-1 + 6)\/(x\/48). What is h rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 + 4*n + 3. Let z be m(-6). What is the highest common divisor of z and 495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 5*c**4\/12 - 109*c**3\/6 - 5*c**2 - 7*c. Calculate the least common multiple of f(12) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -157? (a) 139 (b) -0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.30476 nanometers to micrometers.\nAnswer: 0.00630476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f + 15 = 0. Let q = 2 - f. Solve 0 = -q*s - 20, 3*a + s + 15 = 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 416 + 3*k**2 - 640 to the form g*k**2 + h + c*k and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20312 (base 5) to base 6\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4834*j - 2110*j - 2 - 1328*j.\nAnswer: -8272*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, k: 2, g: 3, x: 1}. Give prob of picking 4 n.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16810 + -10770. Is r a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose i + o*i = 0. Let n(x) = x + 800000. Let y be n(i). What is y rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 142 in -5, -0.5, 13987?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - -0.4. Let k = 92.25 + -97. Let g = k - -0.75. What is the smallest value in m, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26005?\nAnswer: 5, 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -127, -8.\nAnswer: -127, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v + 6. Let l(p) = -p**2 - 4*p - 3. Let g be l(v). Suppose d - 297 + 42 = g. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*o**2 + 7*o - 2*o - 6*o.\nAnswer: -56*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 6*d - 7. Determine x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58*10705.4.\nAnswer: -6209.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 divided by -128?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**3 - 5*f**2 - 5*f - 8. Let a(k) be the second derivative of -k**5\/5 + k**4\/6 + k**3\/2 + 2*k**2 + k. Let l(x) = 5*a(x) + 3*z(x). What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeneeeneeeeenennn. Give prob of sequence neee.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 175, -123, -1367, -4031, -8589, -15515?\n\"Answer: -79*y**3 + y**2 + 252*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27779 - -46745. List the prime factors of w.\nAnswer: 2, 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 16, 28, 44, 64, 88?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - sqrt(77)*-2))*1)\/(sqrt(891)*1).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6648479 + 6648403.00074. Let r = 335 + -259. Let u = l + r. What is u rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6) + -1 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4\/9)\/((k**(-2\/29)*k*k*k)\/k))\/(k\/(k*k**(1\/6)*k)*k\/(k\/k**(6\/5))*k*k))**(-3\/23))**(22\/9) assuming k is positive.\nAnswer: k**(126577\/90045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/(-12)*1\/(-21). Let j = 0.2 + 0. Sort j, -0.5, a in decreasing order.\nAnswer: a, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)*i**(3\/11))**(1\/4))**40 assuming i is positive.\nAnswer: i**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -760334*k**3 - 1020315*k**2?\nAnswer: -4562004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkwqz. What is prob of picking 1 q, 1 z, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3046550 + -6?\nAnswer: 3046544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-6)\/(-1 + 4)). Solve 2*s - 10 = -q*h + 13, 3*s + 4*h - 32 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1216 + 1218.276. What is x rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*p + 5828*p = 1769 + 16595 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1. Let k(z) = z + 1. Let x(c) = -3*a(c) + k(c). Let h be -8*(18\/(-4) - -4). Suppose -h*p - 4*j - 4 = -2*p, -5*p + j - 32 = 0. Give x(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -127, -264, -403, -544, -687?\n\"Answer: -q**2 - 134*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = -f + 203, 2*s - 5*f - 221 = 0. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 101*m**2 + 120*m + 3505. Determine z(-51).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 11*f**2 - 9*f - 8. Let v be g(10). What are the prime factors of (-8)\/v + 955 + -4?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 57*p**2 - 71. What is y(-57)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002414577 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y - 2676 - 983 = -435. Solve 69*b = y*b + 42 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttgppiiipd. Give prob of picking 1 p and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4)*-1)\/(21\/(-252))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, c: 2, z: 2, b: 9, l: 2}. What is prob of sequence sllb?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11638, -46523, -104664, -186061?\n\"Answer: -11628*w**2 - w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 21 = 1. Let h be (18\/(-8) - -2)*-2. Which is the nearest to h? (a) w (b) 3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623834 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: Determine y, given that -5*y**2 - 253730*y - 3044040 = 0.\nAnswer: -50734, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/(492\/324))\/(((-160)\/360)\/((-2)\/18))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 37*z. Let l(w) be the second derivative of w**6\/180 - 17*w**3\/6 - 11*w. Let v(n) be the second derivative of l(n). Give c(v(g)).\nAnswer: 74*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(425) + sqrt(425)*1)**2 + sqrt(425) + (sqrt(425) - (sqrt(425) + 2)*-6)**2.\nAnswer: 845*sqrt(17) + 19269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -192*c**2 - 193*c**2 - 195*c**2 + 556*c**2. Let o(i) = -2*i**2. Determine o(m(g)).\nAnswer: -1152*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from wvwwvwwvvwvvwwvvvwwv?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*j + 3, 5*j + 9 - 20 = -3*y. Suppose -t = -5*t + 4*n + 62644, 4*t - y*n - 62644 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, a: 4, q: 4, r: 1, i: 3, n: 1}. Give prob of sequence naro.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0466 - -0.5466. What is the nearest to 6 in y, -4, -0.04, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 33 + (-62 - -27) + 12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2440 + -2436. Sort 3, -29, 0, v in increasing order.\nAnswer: -29, 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*j + 13, 80*l - 84*l - 28 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -39059, -5 in decreasing order.\nAnswer: 10, -5, -39059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16) + (-2 - (-15)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16*h**(-1\/9)*h)**11 assuming h is positive.\nAnswer: h**(1672\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -19\/2 (b) -0.024 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*q*s**2 + 6*q*s + 4*q - 118*s**2 - 9580 wrt s.\nAnswer: 46*q*s + 6*q - 236*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.356 + 1.03\nAnswer: 1.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.053 (b) -1 (c) -2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6131964 and 107\/20.\nAnswer: 30659820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 - 5 = 0. Suppose -3*q + 2*g - 54 = 0, 2*q + l*q + g = -90. List the prime factors of (-176)\/q - 4\/(-18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 460, -2, 5, 3 in descending order.\nAnswer: 460, 65, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 820022317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 1.95. Let o = -0.019 + 0.419. Which is the nearest to 1\/4? (a) -5\/4 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23050 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 393\nAnswer: -22\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtrk when four letters picked without replacement from {r: 1, a: 1, t: 5, d: 1, k: 3}.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10092 - -10071. Let h(n) = -n**3 - 21*n**2 + n + 20. Determine h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d + 2. Give z(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 26 + 9 - 17 + 2*t**2 to the form s*t + y + b*t**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k - 4. Let s be z(-6). Let c(i) be the third derivative of -i**5\/60 - i**4\/3 - 5*i**3\/6 - 3584*i**2. Calculate c(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19658.\nAnswer: 2, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - (1 + -6 - 3*-1). Let h be (-4)\/8*0\/1. Solve h = 4*u - 4*g + 12, 0 = 3*u + 5*g - 7 + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*5)**2 + -4 - (sqrt(11) + (sqrt(11) - (2 + sqrt(11))) + 2).\nAnswer: -sqrt(11) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 392811 and -34.\nAnswer: 392777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmmmttmtmtmmt. Give prob of sequence mm.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32022 + 26436 = -199*t + 85*t for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*f + 11. Suppose 2*y - 8 + 4 = f*z, -z - 4*y = 20. Is (0 - -3) + (-1504)\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -230) + (2 + 9\/(-3))*-3. Solve 230*j - r*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 - 207. Find the third derivative of 0*d + 84*d**3 + 3*d**2 + 8*d + 20*d**i + 0*d wrt d.\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2482\/15 + -2014\/5. Is -237 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(33\/5) + -61*1020\/114070)\/26.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1946, -1902, -1814, -1670, -1458?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n - 14, o = 2*n + 15. Let a be 43\/o - 4\/(-10). Suppose 2*m - 25 = -a. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*13.8\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 5*w)*(7*w - 5*w + 9*w)*(-2 + 3 - 2).\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/6)\/(-11*25\/1650))\/(-17).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/((-3477)\/152))\/(-7 - -1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -13981.432\nAnswer: 69907.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9980 and -12026.\nAnswer: 120019480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-1 + -3)\/4. Let f(z) be the first derivative of 1\/6*z**3 + 0*z + 0*z**2 + 1\/8*z**4 - 1\/10*z**5 - 1\/12*z**v + 3. Let f(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + o)*(-1919*o + 952*o - 3 + 954*o).\nAnswer: -13*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16.44 and 31.72387853?\nAnswer: 48.16387853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 169\/5*g**4 + 1056\/5*g**2 - 252\/5*g - 1027\/5*g**3.\nAnswer: -g*(g + 7)*(13*g - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(125) + 3 - sqrt(5)) + sqrt(80) + (sqrt(80) + 5 + 1 + sqrt(80))**2).\nAnswer: -1825 - 560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47983 + 743688508\/15499. Let o = c + -2029829\/929940. Calculate the common denominator of o and -4\/55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1122\/2621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = -0*g - w, -2*g = -5*w + 17. Let x be 2\/(-8) + g\/(-4). Let f = -2177\/5480 + -3\/1096. Is x smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 87.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1824\/15 + (-28)\/(-20). What is the greatest common divisor of d and 1804?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252845226 + 301.712?\nAnswer: 252845527.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -9, -9, -21, -51?\n\"Answer: -a**3 + 3*a**2 + 4*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from fwdmmmp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19216, -38727, -58240, -77755?\nAnswer: -97272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1467019\/(-1124039) + 18\/14)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -1\/4, 0.003, 3\/2, -2\/7?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*g - 288, -2*p + 3*g + 83 = -41. Suppose -2*f + 4*h = -p, -4*f + 7*f = -4*h + 134. What is the third smallest value in -0.5, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:20 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 881712 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 -2*k + 52 = 22*t - 19*t, 14 = t + 4*k. Solve -t = 31*u - 13*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/121 and 73\/44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 21) + -96 + 128.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2016\/1792)\/(15\/(-360))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 6*v = -o - 22, o - 62 = -5*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14 = -3*k + 6, 0 = -4*k + x + 11. Suppose 0*c - k*c - 34 = -5*a, -32 = -5*a + 2*c. Suppose -331 = -a*g + 77. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 960344?\nAnswer: 4801720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - m + 2*m**2 + 0*m - 19174 + 17756 to o + y*m + x*m**2 and give o.\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322 - 1031103321?\nAnswer: -1031104143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*a = -133. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - a - 3*a = -22, 5*a - 27 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 - -5236?\nAnswer: 5412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 13. Let v be g(9). Let d be v + 4\/(-2) - 9. Let u = d + 6. Sort u, 2, 1.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*a + 10 = -7*n + 368*a, 3*n - 4*a - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 24 + 9*r - 33*r + 7*r.\nAnswer: -13*r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-614*y + 446*y - 388*y)*(y**2 - 1 + 1) as a*y**2 + l*y**3 + w*y + r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2732\/531 equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 2 (b) -4\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = -5*i, -4*h + i + 4 = -4*i. Suppose -2*u + 3 = -3. Suppose u*s - 4*r - 24 = 0, -s + 23 = 4*r - h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -4*w + 3*f - 177, -3*w = -f - 95. Let i(n) = -n**3 + 4*n**2 + 6*n + 4. Calculate the remainder when w is divided by i(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 145*t**8\/56 + 23*t**4\/2 + t + 61. What is the third derivative of l(h) wrt h?\nAnswer: 17400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:47 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 2 - p**4 + 40*p**3 + 3*p - 24*p**3 - 17*p**3 - 9 - 4*p**2 to the form r*p + z*p**2 + f*p**4 + d*p**3 + q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 2454\/5 (c) -2 (d) 5 (e) -0.07 (f) 1\/3 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6546?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Which is the nearest to l? (a) 4 (b) -2\/23 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -1221937020.6081?\nAnswer: -1221937020.7081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03056134153 to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447 + -445. Suppose -3*b + 11 = h, -b + l*h - 12 = -5*b. Solve b*t = 47 - 32 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.79304186 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -159.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 + (-705)\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 6 = -6*q. What are the prime factors of q\/(-4) + 198\/12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 + 15*j + 492. Calculate i(-10).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -148*s**3 - 2*s**2 - 3*s + 3. Let f be c(1). Let k = f + 221. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 - 8557\nAnswer: -8558.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38138, -75639, -113140, -150641, -188142, -225643?\n\"Answer: -37501*t - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsuusuuux. Give prob of picking 2 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w*w*w*w*w*w*w**(-3\/10))\/w))\/w)\/w*w**0)**(15\/8)\/(w\/w**(-1\/3)*w\/(w**(-2\/13)\/w))**(4\/13) assuming w is positive.\nAnswer: w**(-110611\/8112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.3. Suppose 2*h + 22 = -0*h - 3*m, 0 = -3*h - 2*m - 23. What is the second smallest value in h, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -62*t - 122. Let s be i(-2). Solve s*w + 136 - 142 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) -33 (c) -7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 13*i**2 + 15*i**2 - 5*i**4 - i - 4*i**3 - 4 + 6*i**4 in the form f + x*i**4 + z*i**3 + s*i**2 + l*i and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 - r**3 - r**2 + 232 - 7*r**2 + 2*r + 5*r**2 - 230. Let h(i) = -2*i**3 + 5*i**2 + 5*i + 5. Determine -2*h(z) + 5*t(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79618637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -313022220 (base 4) in base 2?\nAnswer: -110111001010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1743 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/21803229?\nAnswer: 2\/21803229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -55, 75, 5 in descending order.\nAnswer: 75, 5, 3, 2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 103 + -1389\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 11 + 759*x - 2 + 801*x - 7 as f + t*x and give t.\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2432*t**3 - 2714124*t**2 - 13392*t = 0.\nAnswer: -1116, -3\/608, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 8*w**2 - 3. Let i be u(-8). Let t(g) = 10*g - 6. Let k(z) = -3*z + 2. Let y(r) = -7*k(r) - 2*t(r). Give y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/11 + 28\/154. Suppose 0*q = -4*u - f*q + 4, -4*q = -u + 11. Suppose -6*v - u = -21. Solve 0*s + v = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 + 209.000318. What is j rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) - ((sqrt(192) + 3 + sqrt(192)*2 - sqrt(192))**2 - sqrt(192)) - ((-2*(sqrt(192)*2 - sqrt(192)))**2 + sqrt(192) + sqrt(192)).\nAnswer: -1545 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 3049411 - 586929 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25.25144 or 12\/29?\nAnswer: 25.25144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -64?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 - 7*w - 15. Suppose 17 = 4*t - 11. What is the remainder when x(t) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 3:27 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + 31*v**2 - 31*v**2 + 2*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 27\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 77. What is the remainder when j is divided by (-8)\/(-84)*-15*(-5 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14726 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38206.9 and 58.\nAnswer: 2216000.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = 33. Let x = s - 6. Let w(l) = -68 - 6*l**2 - 8*l**2 + l**3 - 6*l + 62 + 9*l**2. Give w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1350*b - 24283. Calculate g(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 12*a**2 - 8*a - 27. Let m be (-6 - 0 - (-2 - 1)) + 12. What is the hundreds digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -880*s**2 - 24*s + 7. Let z(x) = 883*x**2 + 27*x - 8. What is 9*w(j) + 8*z(j)?\nAnswer: -856*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 983*a**2 - 975*a**2 + 3*a**3 + 3 - 2*a**3 + 2*a to the form g*a**3 + j*a**2 + q*a + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12466386400 rounded to the nearest one million?\nAnswer: -12466000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f = 75*f - 6832. Is f a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(-5*sqrt(441) + sqrt(9)) + -2.\nAnswer: -2 - sqrt(7)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfzfhgagzezzf. Give prob of picking 1 f and 3 z.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7812563m to centimeters.\nAnswer: 78.12563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(-4 + -3 + sqrt(891)) + 3)*-3.\nAnswer: -45 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 6. Let w be x(4). Let h be (-1)\/w + 44\/(-8). Let m(d) = -d**3 - 5*d**2 + 6*d. Let o be m(h). Solve 0 = 2*k - o - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1422238787 + 76506.\nAnswer: -1422162281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - (-1559497)\/(-154). Let f = l + 10128. What is the common denominator of f and -11\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 146916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/100)\/(18\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1032606 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 19, 47, 83, 127, 179, 239?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 79, 25, 4, -5.\nAnswer: -70, -5, 4, 25, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from vrrvrkvrvov?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 64*s - 2095. What is v(39)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*y + 154*y - 1578. Let g = -239 - y. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 7*p - 7. Let y be c(8). Is 16\/(-8)*(y + 766\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2295*i**3 + 1085530*i**2 + 2365*i = 0. What is i?\nAnswer: -1\/459, 0, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 43\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.55205 meters to centimeters.\nAnswer: 5755.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*j - 106 - 128 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4838.\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/10 - 2*j**3\/3 - 3*j**2. Differentiate u(a) with respect to a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1284 in 1\/4, -0.4, 0.02, -27, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -309*n**4*w - 4*n**3*w*y**3 - 4*n**2*w*y**3 - 9*n**2*y**3 - n**2*y + n*w*y**2 - 3*n*y**3 wrt n?\nAnswer: -7416*n*w - 24*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2117*h**2. Let q(n) = 2*n + 2. What is q(p(c))?\nAnswer: 4234*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2980 divided by 1490\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-21)*(m**(-1\/16)\/m)\/m*m*(m**(5\/3)*m)\/m*m**18)**(24\/5) assuming m is positive.\nAnswer: m**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2 (c) -19 (d) 320 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -52008*b + 52052*b + b**4 - 4*b**3 + 9*b**3 in the form p*b + h*b**2 + u*b**4 + w + r*b**3 and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -44. Let j = 5 - d. Suppose 0 = b + 5*t + j, 4*t - 4 = 2*b + b. Sort -3, b, 12.\nAnswer: b, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2 - 2*y + 2) - 3 + 3 - y + 4 - 4 + y + (-3 - 4 + 4)*(0 + 0 - y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 363*y - 4 + 168*y - 6 + 143*y in the form b*y + n and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12276 by 132.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-295)\/118*1*8\/(-40)*-1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130 - -95) + -88 + 69.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -253 and -179.0346.\nAnswer: 45295.7538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 15. Is q(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*w - 13 + 2 = 0, 0 = -3*w + 6. Suppose -19 - 91 = q*g. Is -24 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**4 + b**3 - b. Let d(s) = -2*s**5 - 6*s**4 - 6*s**3 - s. Let v(t) = -d(t) - 6*z(t). What is the second derivative of v(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 30 - 10 = -2*r, 4*r = -4*h + 120. Suppose 3*f + 2*x = 2*f + 6, f = -4*x + 12. Suppose -j - 2*j = f. Solve j = 4*z + z - r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 - n**2 + 2*n**2)*(-9391 + 15 - 2716 - 2188) to k + h*n**2 + m*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 26*i - 84.\nAnswer: -2*(i + 6)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**4\/4 + 3*k**3\/4 - 27*k**2\/2 - 12*k + 24 = 0?\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4841.771 litres in millilitres?\nAnswer: 4841771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 11. Let r(x) = -x - 3. Let k be r(m). Solve 15 = c + k*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -10. Put -4, o, 7, 3 in increasing order.\nAnswer: o, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + -13)*(158\/6 - 0). Let q = v - -140. Calculate the least common multiple of ((-28)\/(-3))\/(1*q\/(-27)) and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/13, 0.7, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10086*r**2 + 7373*r + 1. Let l(x) = -15135*x**2 + 11058*x + 2. Let m(z) = -7*k(z) + 5*l(z). Find the second derivative of m(a) wrt a.\nAnswer: -10146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4\/7 - 12*f**3\/7 + 16*f**2\/7 = 0 for f.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -22*f**2. Let l(s) = 28 + 144*s**2 + 74*s**2 - 266*s**2 + 168*s**2. Let z(w) = 13*w**2 + 3. Let m(q) = 3*l(q) - 28*z(q). Give m(u(c)).\nAnswer: -1936*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20 and -41\/91448.\nAnswer: 91448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1258015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9948 - 9949.040154. Let s = x + 1.04. What is s rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -43. Suppose c + 2*r - 4 - 1 = 0, -b = -5*c + 4*r. Let f = c - -7. Calculate the remainder when 33 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212117 is divided by 441?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2. Let n(a) = -2 - 3 + 0. Let u(r) = 7*h(r) + 3*n(r). Let y be (-24)\/(-13) + 26\/169. Let b(s) = -s - 2. Give y*u(g) - b(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -10. Let r be (i\/(-5))\/(14\/35). Let v = -2630 - -2635. Solve -2*f - 3*m - v = -6*m, -4*f - r*m = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.16988334 minus 92177?\nAnswer: -92174.83011666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 107*i + 3310. Calculate f(-32).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g - r - 0, 4*r + 8 = -5*g. Factor g + 4*z**2 + 142*z - 138*z - 8.\nAnswer: 4*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 6*g + 297*y - 300*y - 143 = 2*g, -6*y = -2*g - 86 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 - (-13)\/3. Suppose 5*o + 3*j = 150, 95 = 5*o + b*j - 55. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {x: 1, o: 2, e: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 + -6 - -6) - (3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from dllqxddxdldldlllqql.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/56)\/(176\/924)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/50*160\/(-144)*3\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 15 = 39. Suppose 3*u + 0*u = 0. Suppose 0 = -u*r + 2*r + 10. Sort l, r, -2 in ascending order.\nAnswer: r, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**4\/2 - 539*z**3\/3 + 5857*z**2\/2 + 32816*z\/3 + 1406 = 0?\nAnswer: -3, -2\/15, 37, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 358?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -359, -1503, -3409, -6071, -9483, -13639?\n\"Answer: r**3 - 387*r**2 + 10*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -86. Solve 0 = 2*m - 5*r + 1, -h*m = m - 2*r + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2376 and 528.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2611 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32875\/1419 or 24?\nAnswer: 32875\/1419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47384.9055 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124380235 - 71942235. What is t rounded to the nearest one hundred thousand?\nAnswer: 52400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31. Is 1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113.65605 rounded to one decimal place?\nAnswer: 3113.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**8\/840 - q**7\/525 - q**6\/50 - 117*q**2 + 7. Let d(z) = 0. Calculate z.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -6537, -21421, -50401, -98175, -169441, -268897?\nAnswer: -401241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 659323\/20 - 32981. Let l = -68\/5 - y. What is the common denominator of 117\/20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 - 124 - (-31 + 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/4 + 19*g**3\/3 + 17*g**2\/2 - 19*g + 24. Let u be f(-18). Is -51\/4 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + 6*(-1*sqrt(198) - sqrt(198))\/((sqrt(88)*2 + sqrt(88) + sqrt(88))\/sqrt(8)))**2 + 4.\nAnswer: 72*sqrt(2) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 1 - 3 + 3)*(-m**4 - 2*m**4 + 5*m**4).\nAnswer: -8*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1837.295 and 715.383.\nAnswer: -1121.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhlholhlhlhllhl. What is prob of picking 1 l and 3 h?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, u: 2}. What is prob of sequence rr?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43576 - 27?\nAnswer: -43603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2147*a + 371432. What is n(-173)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (95\/(-3))\/(1\/(-12)). Suppose 0 = 3*b - 3*h - 234, -4*b + 9*b - j = -5*h. What is b rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208 plus -20427?\nAnswer: -21635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*i + 4*p - 3, 1 = -4*i + p. Let b(s) be the third derivative of 0*s**3 + 2*s**2 - 1\/300*s**6 + 0*s**4 - 1\/150*s**5 + 0*s + i. Factor b(j).\nAnswer: -2*j**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -745.380002 - -745.48. Let v = 2 - 1.9. Let z = w - v. Round z to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**3*x**3 - d**3 + 18*d*x**3 + 20*x**2 wrt x?\nAnswer: 30*d**3 + 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-7))\/((-223)\/1561)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/6 - 9*n**2\/2 + 3*n. Let a = 51 - 54. Let m be (-5)\/((-60)\/16)*a. Determine y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85 - -20c10?\nAnswer: 20b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -41*q**4\/2 + 4*q**3\/3 + 829*q**2 - 1230. Find the second derivative of b(c) wrt c.\nAnswer: -492*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1261 and 1444039?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -36*d**2 - 6*d - 6. Let t(r) = r + 1. Let p(g) = 6*t(g) + u(g). Let c(h) be the third derivative of h**4\/24 - 42*h**2. Determine c(p(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -23*c - 331. Determine s(-18).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22287*q**2 - 24*q + 263.\nAnswer: 44574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnqhh. Give prob of sequence nhq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -54.5. Which is the smallest value? (a) 2 (b) 76 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -34.4, 5?\nAnswer: -34.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 145, 132?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6308613 millilitres in litres?\nAnswer: 0.0006308613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2933 and 2504363.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 5*n + 0*n. Let w(u) be the first derivative of -u**2 - 4. What is w(o(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66 + -1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2 + 8 + 3*u**2 + 1 - 25*u. Suppose -34*z - 120 = -698. Is v(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 145d11c (base 14) to base 8\nAnswer: 45631106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2115*u**2 - 4241*u**2 + 2127*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 12\/19, 5, -1\/6 in descending order.\nAnswer: 5, 12\/19, -1\/6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3131?\nAnswer: 5\/3131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -508?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.879 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 13*w**4\/24 - 5*w**3\/6 + 42*w**2. Calculate the remainder when x(2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5065*u**2 + 5067*u**2 - 2*u + 4622*u**2 + 2*u - 14757*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -11aef?\nAnswer: -11aea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 6*b - 3. Suppose -5*y - 4*p - 34 = 0, y + 2*y + 13 = 5*p. Let f = y - -13. What is the units digit of i(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14964503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2 = -4*q + 2*x, 0 = 4*q - 3*x - 1. Let z(y) = 4*y + 1. Let m(d) = -d**2 + 3*d + 1. Let l(k) = -5*m(k) + 4*z(k). Determine l(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12787313 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1\/7, -9, -4, -14.823, -335?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6 and -49\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1 - 0) + 5. Suppose 0 = 4*s - w*q - 195 - 69, -s = 2*q - 51. Let j = -39 + s. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*y**3 - 2661*y**3 - 3159*y**3.\nAnswer: -4576*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, -134, -209, -284?\n\"Answer: -75*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -7. Let x(z) = z**3 + 3*z**2 - z - 3. Let t be x(n). Suppose 3*m - 18 = 4*g + 4, 4*m + g - 42 = t. What is the lowest common multiple of 4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19597\/14 - 1402. Calculate the common denominator of u and (-63)\/(-22) - (-2 - -2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24305 divided by 4861?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31693*j**3*k*n**3 - 223*j**3*k + j**2*k*n**3 + j**2*n**3 + 3*j + 128376*k + 7*n**2 wrt j.\nAnswer: -190158*k*n**3 - 1338*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 3*w - 14*w. What is the derivative of -14*n**2 - 11*n**2 - 4 + w*n**2 - 3 wrt n?\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/7003 and (203\/7 - 37) + 7\/3.\nAnswer: 21009","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 60 = -10*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47863*b**4 + 307394?\nAnswer: 191452*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566.46*-0.3.\nAnswer: -169.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 7*m - 5\/6*m**3 - 1\/12*m**4 - 16 + 3*m**2. Let q(a) be the first derivative of h(a). Calculate q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*-1 + 342\/(-19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -150, -305, -460, -615?\n\"Answer: -155*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79253573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0 + 0*r**3 + 3\/4*r**4 + 7*r - 4*r**2. What is the first derivative of s(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-344 + 347 - 53*i - 27*i)*(1 - 1 + 1)*(2*i + 2*i - 2*i) to d*i**2 + s + y*i and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -131 + -2?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (4 + -2 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = -10. Let w(c) = -c**3 + 6*c**2 - 5*c + 5. Let s be w(5). Suppose 25 = -0*r + s*r. Solve 3*p = -r - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011010001110111 (base 2) to base 4.\nAnswer: 123101313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/105*18\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n + 63*n**2 - 2209 - 37*n + 2209.\nAnswer: 63*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**4 - v**3 + 2353*v**2 - 11882.\nAnswer: 8*v**3 - 3*v**2 + 4706*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {o: 3, e: 4, f: 3, y: 2, k: 4, x: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5011 (base 7) to base 14.\nAnswer: 8b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162402*r**3 + 25*r - 3159 wrt r.\nAnswer: -974412*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7.4. Which is the closest to -0.1? (a) g (b) 0.1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 126.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/5)\/(4\/(-189940)). Let j = x + -5998. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*k - 3*k = 22*k + 435 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 39588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37208544 divided by 6201424.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l + 26 + 29 + 26 - 104 + 26 as q*l + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.3, -870, -5, -0.03 in ascending order.\nAnswer: -870, -5, -0.3, -0.03, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-8) - 2\/(-8). Suppose h - l = 10, -f*h + 2*l = -3*h + 22. Suppose -h = o - 3*o. Put -2, 0, o in ascending order.\nAnswer: -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 27 = 4*w. Let y = 15 + w. Suppose 2*d = -0 + y. Solve m + 4 + 6 = d*n, 3*n + 3*m + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35 - -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3801 - 1946 - 4679)*(0 - a + 1 - a)*(3 - 1 - 5).\nAnswer: -62556*a + 31278","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9\/5))**(-29) assuming r is positive.\nAnswer: r**(261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/5? (a) 3\/2 (b) 5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49ba6e (base 16) to base 11\nAnswer: -2800275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.02. Let x = 3.02 + -0.02. Let u = 3.2 - x. What is the nearest to q in -1, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = -5*y - 5, 2*y = -3*r - 2. Suppose w + 4*k - 68 = r, -2*w - k + 145 = 4*k. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1694473 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 102432441?\nAnswer: -102432433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66315 - -5305267\/80. What is the common denominator of -65\/4 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)*y*y)**(-40))**(-24) assuming y is positive.\nAnswer: y**2304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 14 = p + 3*d, 0 = -3*p - 3*d + 39. Let b(n) be the second derivative of n**4\/12 - 4*n**2 - 5*n. Does 13 divide b(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489926 is divided by 569.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4, -116 in ascending order.\nAnswer: -116, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 9\/4*i**2 + 13\/8*i**3 + 0 + 28*i + 21\/80*i**5 - 13\/8*i**4. What is f in l(f) = 0?\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224 + 225. Put -8, -5, s, 0 in descending order.\nAnswer: s, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 2*m - 10, 0 = 4*m - 4. Suppose 3*u + 5*y = 588, 2*u = z*y + y + 414. Suppose -3*f + u = -0*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-36))\/(3*2\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 103, 12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 + 5 + 1)*(-2*g**4 + 0*g**4 + 3*g**4).\nAnswer: -88*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -333*h**2*k*u**2 + 5481*h**2*k*u + 2*h**2*u**2 + h**2*u - 124*h*k*u**2 - 177*h*k wrt u.\nAnswer: -666*h**2*k + 4*h**2 - 248*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x + 2*x)*(-2*x**2 + 3 - 3 + (1 - 2*x - 1)*(-x + 0*x - x)).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143229 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -63*y + 28. Let k be o(-4). What is the highest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 10) to base 12\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9684467\/18 + 538309. Let l = i + -284. Calculate the common denominator of l and -23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o + 2*o + 3*o - 7*o + 2*o + (4 + 1 - 4)*(-3 - 2*o + 3) + 0*o + o + 2*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -109, 2557 in descending order.\nAnswer: 2557, 1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1934 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7026994 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:50 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 37 - (1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8269043 (base 11) to base 5\nAnswer: 12214010322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3*p**2 - 509*d**3 + 531*d*p**2 - 5*d*p wrt p?\nAnswer: -2*d**3*p + 1062*d*p - 5*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4004 is divided by 74?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 + 1 + -3 + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116013.9813 rounded to the nearest one thousand?\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -2 - 11) + -1 + -68 + 75?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q + 4. Let a be u(-4). What is the common denominator of -79\/10 and ((-54)\/a)\/(9\/6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4) + -3 + -6 + 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 49.4.\nAnswer: 88.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 562*l = 560*l + 258, 4*l = 3*t - 111 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 986411 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1186 and 75256?\nAnswer: 76442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(sqrt(1377) + 1) + (-1 + sqrt(1377))*-3).\nAnswer: 12 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 5*s = -22*f - 5, f - 1 = -s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 63*r - 1. What is m(21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 - 5*k - 7. Calculate t(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1134174*x - 5 - 565598*x + 1 + 1545426*x. Let t be l(2). Round t to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 989820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -50577121.1 to the nearest one hundred thousand.\nAnswer: -50600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose 4*d - 14970 = 2*z - 4*z, g = d - z - 3744. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128275318 and 1902?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -138? (a) -2 (b) 1 (c) -4 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcqwwwqwwqwwwqr. What is prob of picking 1 c, 1 w, and 1 q?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1121 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 - 34*q**3 + 150*q**2 - 198*q = 0. Calculate q.\nAnswer: 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 352.8 - 357.8. Which is smaller: u or -2.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f = -108*f + 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = 4*i. Let o(v) be the second derivative of -v**4\/12 + 5*v**3\/6 + 2*v**2 + 5*v. Let k be o(i). Are k and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20107 - -802. Is i a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 114330984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/8690 and 47\/550?\nAnswer: 43450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 take away 4237275614?\nAnswer: -4237275613.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1078)\/105 - -9) + (-3)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.975365nm to micrometers.\nAnswer: 0.006975365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2 - 1 - 1)*(-2*y**2 + 0*y**2 + y**2).\nAnswer: -2*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*m = -3*f + 134*m, 4*m + 27 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -813 and 19.9844.\nAnswer: -793.0156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 12) in base 8?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 70 (c) -1\/40 (d) 9.1 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:13 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -99\/10, -5, 1 in descending order.\nAnswer: 1, -4, -5, -99\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 9*d**2 + 9*d - 5. Let c be v(8). Suppose c*x + 451 = z, -4*x + 582 = z + 117. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 30 = 0. Suppose -4*t + i*t = 16. Suppose 0*k - 2*k = -144. What is the greatest common factor of t and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 11. Suppose r - 5*r + 100 = 0. Let s = 21 - r. What are the prime factors of k(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235586094 a multiple of 1834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486, -494, -502?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 6) in base 7?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/681752 and 69\/3408760.\nAnswer: 3408760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 51296\/9, -13.\nAnswer: -13, -2\/3, 51296\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -351, -74, -5, 4.\nAnswer: -351, -74, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 715*d - 715*d. Let m(z) = 99*z - 39. Let r(q) = 5*q - 2. Let o(y) = -2*m(y) + 39*r(y). Determine u(o(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2781 and 8667.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 25 = 0. Suppose -4*c + i*a + 35 = 0, -4*a - 17 = -3*c + 8. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g. Let u(l) = 4*l**2. Let v(a) = -10*a**2 - 11*a. Let k(y) = y. Let z(j) = -22*k(j) - 2*v(j). Let x(f) = 16*u(f) - 3*z(f). What is x(c(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 - 1327*b**3\/3 - 137282*b**2\/3 + 706496*b - 450528 = 0. What is b?\nAnswer: -228, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2973274?\nAnswer: 2, 1486637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3486312 grams?\nAnswer: 348.6312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 + 7*g + 6. Determine n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35912 and 2376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 0 - (-7)\/3. Let j(b) = -b**3 - 2*b**2 - 2*b - 1. Let l be j(-1). Factor l*o + 1\/3*o**2 + 0 - s*o**4 + 0*o**3.\nAnswer: -o**2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:01 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (1 - 918\/21). Let p = n - -42. Let -2\/7 - 6\/7*t - p*t**3 - 6\/7*t**2 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + 1)\/(2 - 4). Let r(b) = 2*b**3 + 13*b**2 - b - 12. Let f be r(-10). Let s = 703 + f. Sort -5, s, 2, y in ascending order.\nAnswer: -5, s, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -43, -141, -331, -643?\n\"Answer: -5*q**3 - q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 6*v + 7*v - 2*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 - -1667\/9. Let l = 15.4 - 13.4. Which is the nearest to l? (a) t (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.027799 * 18\nAnswer: -0.500382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-3)\/4*(-80)\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*w + 44*w - 7 - 13)*(-4*w**2 - 2*w**2 + 4*w**2)*(2 + 4 - 1 + (-1 - 1 + 4)*(-1 + 0 + 0)) in the form y*w**2 + o*w**3 + q*w + s and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 3) + 3 + 28 + -15 + -21 + 5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 50*k + 900. Let f be n(-18). Which is greater: 3\/142 or f?\nAnswer: 3\/142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -297*i**4 + 427.\nAnswer: -1188*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 + 2*g**5 + 2*g**5 + (g**2 - 8 + 8 - 5*g**4)*(g - 2*g + 0*g).\nAnswer: 4*g**5 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88265a (base 12) in base 13?\nAnswer: 5a8779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14807 + 23354 = -148*f - 259*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.82252ml to litres.\nAnswer: 0.01982252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -221*d + 6398. Let v be n(29). Let a(q) = -3*q**3 - 11*q**2 - 11*q - 46. Let w(f) = f**3 + 4*f**2 + 4*f + 15. Determine v*w(t) - 4*a(t).\nAnswer: t**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**7\/42 - x**5\/20 - x**4\/6 + 25*x**2\/2 + 19*x + 2. What is the third derivative of q(p) wrt p?\nAnswer: 60*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 3*n**2 + 3*n**2)*(-n - 2*n + 2*n + (0 - n + 0)*(-1 - 1 + 0) - 78 + 78 + 11*n).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*l - 68*l = -2304. Suppose 0*j - l = -4*j - 5*w, 3*j - 4*w = 288. What is the greatest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/(-40) + (-4)\/10 - -31. Suppose -9*k = -0*k - t. Let d be 43\/k - (-22)\/33. Solve 3*h + 4*c - d = 0, 0 = 4*h + 5*c + 1 - 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 56676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t + 1452 = 0. Let u = -366 - t. What is the closest to -3 in u, 1\/5, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 311 - 311.04. Let w be 27\/11 + (-3)\/1. Is d at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24443 - -2?\nAnswer: -24441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6766?\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/3 + 2*n**4\/3 - n**3\/3 - 2*n**2\/3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 24*i**3 + 53*i**3)*(-3*i - 1 + 1).\nAnswer: -93*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 9944786.8730452.\nAnswer: 9944790.8730452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -688\nAnswer: -4816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9701 millilitres?\nAnswer: 0.0009701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17973341419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/4 of a minute?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 909 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m. Let v be m - (-4)\/(-3)*6. Let y(t) = -t - 2. Is y(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242188 divided by -60547\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5290774 and 18292?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-475)\/(-133)*-7 + 4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 27 = 4*s - 14, -m = 4*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -166390 * 0.03\nAnswer: -4991.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -10 + 2*x**2 - 4\/3*x**3 + 48*x. Factor d(l).\nAnswer: -4*(l - 4)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 5. Let o be f(4). Suppose 0 = -r + o - 3. Let u(k) = -k + 42. Let c be u(0). Calculate the highest common divisor of r and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8. Let q(c) = -1. Let t(k) = -6*p(k) - 51*q(k). Let v(h) = -h + 24. What is -24*t(i) + 3*v(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - h + 3 = 0, -h + 1 = 302737*n - 302738*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -543*n - 29. Suppose -9*m + 21 = 75. Is h(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -34*m - 364. Give p(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1967*r = 2027*r + 2160 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/(4\/(-6)). Let l be ((-3)\/(-5))\/k*5. Solve 2*p + 10 = -5*y, -l*p + 4*y + 36 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -r - 2941, p = -4*p - 7*r + 7362. What are the prime factors of p?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3757, 29524, 99465, 235666, 460213, 795192?\n\"Answer: 3681*o**3 + o**2 - 3*o + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = 2*j - 3*x, 3*x - x + 170 = j. Let i be 2\/8 + (-429)\/(-12). What is the greatest common factor of i and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6111\/189)\/(380\/(-6)) and 101\/50.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-45\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 23*m**3 - 2*m**2 + 6*m - 8. Let u be t(2). Let j = -166 + u. Solve 1 = -3*c - 4*g + 15, -2*c + j = 5*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(2736) - sqrt(2736))*-1)**2.\nAnswer: 240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c (base 15) to base 4.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 5197031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 93, 409, 1053, 2139, 3781, 6093?\nAnswer: 9189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0502 - 1412761867530.\nAnswer: -1412761867530.0502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/105044182 or 1?\nAnswer: -3\/105044182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -36) + 14 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34965970?\nAnswer: 2, 5, 13, 268969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-6)*2\/(10\/9). Let m(a) = a + 1. Let q be m(4). Suppose x - 2 = q*h. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30030122 (base 6) to base 9\nAnswer: -1525355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-42) + (-2 - 80\/(-42)). Which is the closest to 1\/2? (a) 1\/4 (b) q (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + r**2 - r**2 + (3 + 2*r - 3)*(r + r - r) + 2039*r - 2039*r - 45110*r**2 + 668*r**2 as f + a*r**2 + u*r and give a.\nAnswer: -44442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27466 and 1364.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 300*h + 55 = 3*m + 305*h, 5*h = 5*m - 2*m - 70 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -104*b. Let u(q) = 30*q**2 + 20. Let g(v) = 76*v**2 + 52. Let i(w) = 5*g(w) - 13*u(w). Give c(i(o)).\nAnswer: 1040*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5846926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 99 - 22. Factor -6*l**2 + x*l + 9*l**3 - 3*l - 3*l**4 - 3*l**4 - 25*l**3.\nAnswer: -2*l*(l + 1)*(l + 2)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 494907 and 16?\nAnswer: 7918512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-27)\/((-2160)\/(-224))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (-2 + -1 + sqrt(300)*1 + -5 + 2 + -1 + sqrt(300) + -1)**2)*2.\nAnswer: -2560*sqrt(3) + 10120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * -64.99.\nAnswer: 162.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.7 - -15. Let u = -85223\/5 + 17045. What is the closest to i in u, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.371 rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4\/39 (c) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(297))\/sqrt(9))\/(sqrt(121)\/sqrt(99) + sqrt(11) - -3*sqrt(44))*-5.\nAnswer: -15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 1. Let c be h(1). Suppose 6*t - 31 = -1. Suppose 0 = f - 3*l - 6 + 20, -t*l + 40 = -5*f. Sort f, 3, c.\nAnswer: f, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 196.5\nAnswer: -58.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*w + 14122 = 20424 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {u: 3, w: 5, c: 2, k: 1, l: 6}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -27*a - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**1*j*j))\/j*j)\/j*j)**(-46)\/(j\/j**6*j**(-1)) assuming j is positive.\nAnswer: j**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -1 (c) 0 (d) 50 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6764494.2 rounded to the nearest ten thousand?\nAnswer: 6760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 64\/96*((-11348)\/368 + (234\/207)\/13)\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2965157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*r = 18, 0 = 5*j + 3*r - 16 - 6. Suppose j*x - 5*x = -12. Suppose -x*v + 20 + 24 = 0. Calculate the remainder when 31 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - (-6 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -431*y**3 - 133*y**2 - 118541 wrt y?\nAnswer: -1293*y**2 - 266*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166 or 82003\/490?\nAnswer: 82003\/490","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8424536 or 3?\nAnswer: -0.8424536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = -1. Let v be p - (3 - (7 - -2)). Suppose -v*c + 219 = -137. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 29 + -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 2}. Give prob of sequence yuu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 9, -0.3, -3, -11\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12) + (-3950)\/(-25)*8\/(-448)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**2 - 13*f + 14. Let o(a) = -4*a**2 - 6*a + 7. Let m(s) = 13*o(s) - 6*y(s). Find the first derivative of m(k) wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j + 4. Let m = 27 + -24. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2621407386?\nAnswer: 2, 3, 13, 179, 191, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8258\/11 + -750. Let i = 901\/11 + -81. Factor -2\/11*x**4 + 16\/11 - a*x + i*x**3 - 12\/11*x**2.\nAnswer: -2*(x - 2)**3*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/21*(119\/(-14) - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21352 + -20719. Which is smaller: h or 634?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-639)\/(-1917)*(-54)\/4*12\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, -5, 4811, 3 in ascending order.\nAnswer: -5, 3, 297, 4811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2114170*v**2 - 966012 wrt v?\nAnswer: -4228340*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -115*v**2 + 6771. Let k(x) = -14*x + 11. Let n(j) = 5*j - 4. Let f(w) = 4*k(w) + 11*n(w). Calculate s(f(i)).\nAnswer: 230*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334588?\nAnswer: 2, 233, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/5 + 42*b**2\/5 + 28*b + 96\/5 = 0?\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2\/1041, 3, 0.04 in descending order.\nAnswer: 3, 0.04, 2\/1041, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 19*m**2 + 7*m - 16. What is the hundreds digit of i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1131.8362 + -1132. Let w = r - -0.0838. Which is the closest to w? (a) 3 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11186513?\nAnswer: 13, 860501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 11:36 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 27*p**3 + 47*p**3 + 6 - 22*p**3 + 7 - 13.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1304 and -410.87?\nAnswer: 535774.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + w = 3*q - 20, -w - 36 = -5*q. Suppose f - 24 = 4*d, -5*f = -d + 5*d. Let a = d + q. What is the highest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -9, -4, 3, 12, 23?\n\"Answer: c**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3682, 3684, 3686?\nAnswer: 3688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*q + 22 = 2, 0 = -5*v - q - 4. Suppose -2*a - 148 + 1322 = v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5619845.\nAnswer: 5, 7, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33671 is divided by 201.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + 40. Suppose -5*d = -x + 30. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 + 8064*v**4 - 7225341*v**3 + 2157961344*v**2 + 7225344*v - 2157969408 = 0 for v.\nAnswer: -1, 1, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*s**3 + 13*s**2 - 9*s**2 + 136*s**3.\nAnswer: 13*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:23 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -100*x**5 - 2480*x**4 - 4236*x**3 - 2224*x**2 - 368*x = 0.\nAnswer: -23, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d + 49*d**2 + 3*d**4 - 22*d**2 - 26*d**4 - 16*d**2 wrt d?\nAnswer: -552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 4. Let c(w) = -w**2 + 45*w + 255. Let v be c(-5). Calculate d(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 983*k**3 - 980*k**3 + 4*k - 3 in the form n + a*k**3 + g*k**2 + l*k and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -855846?\nAnswer: -855846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from gwsggffgfwwgw.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**3 + l**3)*(-l + 3*l - 3*l) + 3*l**2 + 8*l**3 - l**4 - 8*l**3.\nAnswer: -2*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(50)*-1) + -2.\nAnswer: -2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 64?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8*y - 12 + 0.\nAnswer: 8*y - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p - 34 - 5 + 7*p**3 + 181 - 2*p - 6*p wrt p.\nAnswer: 21*p**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1131 + 629 = 0. Let v = y - 184. Suppose 24 = l - 2*b, 0*b - b = l - 24. Calculate the highest common divisor of v and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553238, -1106470, -1659700, -2212928, -2766154, -3319378, -3872600?\nAnswer: -4425820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5749 + 92059\/16. Which is bigger: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -121.9 in 0.1, -1.5, -0.4, -32.7?\nAnswer: -32.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from {d: 2, v: 2, u: 6, k: 8}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111233 (base 4) to base 13.\nAnswer: 4492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.13, 1.6 in ascending order.\nAnswer: -0.13, 3\/5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1071714*w**2 + 38413*w wrt w.\nAnswer: 2143428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 83*x - 53. Let s be k(-9). Calculate the greatest common factor of s and 770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 1\/5, -3, -5, 5, -1378 in descending order.\nAnswer: 5, 4, 1, 1\/5, -3, -5, -1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267838203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 41 - 23 = 0. Let u be 92\/6 + 8*(-9)\/(-108). Calculate the highest common divisor of u and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) - 1*sqrt(600))*4)\/(sqrt(160)*-1 + sqrt(10)))\/(-2*(sqrt(144)\/sqrt(3)*-2)\/sqrt(4)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) - (-2478)\/(-105). Let r be 8\/g + 2\/6. Solve 2*t - 12 = -2*y - 0*t, 3*y - 5*t + 22 = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w*w)**(-14))**19*(w**1)**(7\/5)\/(w*w*w*w\/(w**(2\/7)\/w)*w)**(-3\/13) assuming w is positive.\nAnswer: w**(-601439\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/(k*k*k**(-5\/8))*k)\/k*k)*k**(9\/5)*k**(4\/17)*k*k*k**12*k assuming k is positive.\nAnswer: k**(11839\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 7*u**2 + 3 + 5 + 3*u**2 + u. What is the remainder when l(10) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -8)*(0 + 179) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a + 43*a = 56 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 4174*f + 4174*f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*i**2 - 3*i**6 - 3*i**5 + 12*i**2 + 3*i**5 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518556598 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + r + 4. Let y(h) = -h**2 - h + 1. Give -l(u) + 2*y(u).\nAnswer: 2*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 - 27*j**3 + 26*j**3 in the form d*j + n*j**2 + h*j**3 + a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65756059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039958 to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1556 and 198779?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 2*m**2. Let d be s(3). Suppose r - d = -r. Suppose -17 = -8*f + 39. What is the remainder when r is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30b525 + 7b1?\nAnswer: 310116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*k = -2*w + 366*k + 9, -2*w + 5*k - 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 9*m**2 + 3*m + 24. Suppose 3*u = -5*i + 27, -4*i + 4*u - u = 0. Suppose 2*h - 5*k - 7 = -h, -i*k = -3*h + 15. Is j(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2752215897 to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 1024 in decreasing order.\nAnswer: 1024, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.3, -398, 1\/8, 5 in increasing order.\nAnswer: -398, -0.3, 1\/8, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 33*y**2 - 3*y + 121. Calculate the remainder when u(-33) is divided by 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 6*p**2 - 3*p - 39. Let u = -24063 - -265074\/11. Let m = u + -30. Calculate the common denominator of v(-5) and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/4 + 23*s**3\/6 + 4*s**2 - 407*s - 2. Give y(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4366 = -2*k + 3*k, -4*y - 17461 = -k. Let j = -69769\/16 - y. Let v = -1873 - -26155\/14. Calculate the common denominator of j and v.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -2. Calculate the greatest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i**5\/9 - 38*i**4\/9 + 16*i**3\/3 + 14*i**2\/9 - 56*i\/9 + 8\/3 = 0.\nAnswer: -1, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let i(b) = -37*b. Determine 4*d(g) + i(g).\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1513541 divided by -20\nAnswer: -1513541\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -33. Suppose -3*f = -12, 82 = -5*a + i*f + 1132. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1833*k - 5313*k = 8797*k - 368310 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o + 7. Let w(n) = 9 - 29*n + 19 + 4 - 21. Calculate 8*t(d) - 5*w(d).\nAnswer: -7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74206045 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o + 3*o - 2*o. Let h be (-1)\/(4 + 34\/(-8)). Suppose -2*s + 0 = 2*i + 8, 0 = 5*s + h*i + 21. Give j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376 and 212491042.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 140, 342, 556, 788, 1044, 1330, 1652?\n\"Answer: p**3 + 195*p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-11) + 2204\/(-2871).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*l + 198, 255 = 4*g - g - 3*l. What are the prime factors of g?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -20. Let t = -3 + k. Let q be -6*(t\/(-4) - 0). Solve 7 + q = -5*z - 4*r, -z + 3*r + 17 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9))**(-39)*(s**0)**(-28))**(-27\/5) assuming s is positive.\nAnswer: s**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -15*g + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -119, 45, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00846079153 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4*-3)\/4)\/((16848\/1440)\/((-21)\/5)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7 + (-5 + 6 - -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = d + 6, 5*d + 10 - 2 = 4*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 17.9. Which is the closest to 2? (a) m (b) 0.04 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891)*3 + sqrt(891))*-5 + sqrt(891) - ((-5*(sqrt(891) + -4))**2 + sqrt(891)) - (-6*(3 + sqrt(891))*-6 + -1)**2.\nAnswer: -1188860 - 67761*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10259363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 5830.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -4\/3*f**3 + 96*f - 20*f**2 - 111. Factor r(w).\nAnswer: -4*(w - 2)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -3085595?\nAnswer: -3085595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 565704*p**4 + 11*p**2 - 4*p - 570127 wrt p.\nAnswer: 6788448*p**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, -4, -21, -38, -55, -72?\n\"Answer: -17*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:28 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -11*z**5\/60 - z**3\/3 + 11*z**2\/2 + 71. Let r(j) be the third derivative of x(j). Let k(q) = -6*q**2. What is r(k(a))?\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 15*r + 4. Suppose 0*f = -2*l - 3*f - 2, 3*f + 22 = 2*l. Let o(b) = -2*b**2 - 7*b - 2. What is l*o(x) + 3*q(x)?\nAnswer: -x**2 + 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1855 from 0.199.\nAnswer: 1855.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470649105?\nAnswer: 3, 5, 157, 66617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 57*r - 11. Let b be (10\/6)\/((-70)\/(-252)). Is a(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/30*-2*(-1790)\/537. What is the highest common factor of 1322 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 5*s - 11, 20146 = -5*s + 20141 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18212879\/345 - 52791. Find the common denominator of q and 50\/207.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*u**3\/7 + 696*u**2\/7 + 384*u - 512\/7.\nAnswer: 4*(u + 8)**2*(11*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16986, 16990, 16994?\nAnswer: 16998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -27*m**2 + 2*m**3 + 24*m**2 + 0*m**3. Let n(p) = 2*p**2 + 3*p. Let s(v) = -v - 8. Let h be s(-6). Let j be n(h). Determine y(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*r - 75 = 54, 2*r - 8 = 0. List the prime factors of y.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6166 divided by 3083?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 5*s**4\/12 + 2*s**3\/3 - s**2 + 427*s. Calculate v(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 5*w + 5. Let q be t(5). Suppose q = 5*d - 10. Solve 4*f = -17 - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427446794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/40 and 191\/15865380.\nAnswer: 31730760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -2 - 283)\/((-6)\/4). Let y = -193 + x. What is the closest to 2\/7 in y, 5, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/5 + j**4\/4 - 2*j**3\/3 + 5*j**2 - 3*j. Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + 2 + -12 + 12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, r: 2, f: 1, j: 1, l: 1, y: 1}. Give prob of sequence yyj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12) - -1*sqrt(60)\/sqrt(5)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12*z**2 - 5 + 5.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + 3 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3225965090 divided by -5?\nAnswer: -645193018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.5, 2\/3, 4, -1 in descending order.\nAnswer: 4, 2\/3, -0.5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 17*l + 24. Let z be s(-2). Let w(y) be the third derivative of 0*y + y**3 - 4*y**z - 1\/3*y**4 + 0 + 1\/30*y**5. Solve w(g) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 64*l + 79. Let b(k) = -21*k - 26. Let o(m) = 14*b(m) + 4*f(m). Let a be ((-4)\/20)\/((-2)\/(-90)). List the prime factors of o(a).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*d = 68, -11*q + 12*q - 4*d = 29. Calculate the remainder when q is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 49*a - 28. Let y be w(1). Calculate the greatest common divisor of 672 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or -72002?\nAnswer: -72002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 6. Let f(z) = z + 3. Let v(s) = -11*f(s) - 6*x(s). Suppose -4*a + 5*a = 5. Let o be 8\/20*(20 - a). Calculate v(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o - 1. Let x be z(1). Suppose -2*w + 2*n = -270, 4*w - 3*n - 2*n - 542 = x. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -251785, -503582, -755385, -1007194, -1259009?\n\"Answer: -3*h**2 - 251788*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = w + 4*g, -2*w - 5*g + 30 = 3*w. Let q = w - -74. Solve 24 - 59*n - 55*n - 7*n - 11*n + 210*n**2 - q*n**3 = 0 for n.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2802.\nAnswer: -5\/2802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 18. Suppose 2*c - 4*s + 3*s - k = 0, -5*c + 5*s = -15. Solve -c*j - 3*b = -0*b - 32, -2*j = 2*b - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 4223 - 4223.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -34*p. Let g(x) = 578543*x**2. What is g(t(j))?\nAnswer: 668795708*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3494*c - 8 + 3604*c - 26*c**2 + 28*c**2)*((-2 - 1 + 4)*(2*c**2 + 1 - 1) + 2*c**2 + 0*c**2 - c**2).\nAnswer: 6*c**4 + 330*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5268737 to the power of 1\/2, to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4399939?\nAnswer: 4399939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148489 + -104819. What are the prime factors of n?\nAnswer: 2, 5, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134.8540662336 - -0.1458698664. Let x = c + -135. Round x to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4105, 9383, 17073, 28381, 44513, 66675, 96073, 133913?\n\"Answer: 201*q**3 + 3871*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - -2178. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -997.7 * -0.3\nAnswer: 299.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) + (-232)\/(-4). Let m be f + (2 - (-1)\/1). What is the greatest common divisor of 42 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/2 + 7593*x\/2 - 61128 = 0.\nAnswer: -2547, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13*l - 2. Let r(u) be the second derivative of -u**7\/1260 - 6*u**4 + 4*u + 5. Let x(t) be the third derivative of r(t). Calculate b(x(j)).\nAnswer: -26*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3 + 33620*p**2 + 1415654*p - 1449272 = 0 for p.\nAnswer: -43, 1, 16852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-7) - (-14)\/(882\/27). Suppose -w*y - 16 = -2*a - 0*y, a - 12 = 3*y. Solve a = -n + 4*k + 14 + 2, -2*n + 5 = k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0181*5755.\nAnswer: 104.1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*((j*j\/(j*j**(-6)*j)*j)\/j)\/j*j*j*j\/j**(2\/3)*j**(4\/5)\/(j\/(j*j**(-23)\/j)) assuming j is positive.\nAnswer: j**(-223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82596734419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i**2 - 33*i + 272. What is the remainder when a(8) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2353 - -7.7647. Let u = 2.1 + -0.1. Sort v, 5, u, 1 in decreasing order.\nAnswer: v, 5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579.93516 minutes to days.\nAnswer: 0.40273275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -65. Let h(d) = -3*d - 3. Let s be h(g). Are 20\/13 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 7465*p.\nAnswer: 5*p*(p + 1493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-9))\/((-6)\/(-18)). Factor 0*o**2 + o**2 - 5*o**h + 9*o**4 - 5*o**2 - 4*o + 4*o**3.\nAnswer: 4*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382869816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 27*d - 164. Let w(u) = -u**2 - 12*u - 81. Determine 4*n(x) - 9*w(x).\nAnswer: x**2 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**7\/840 - p**6\/120 + p**4\/6 + 41*p**3\/3 + 6. Let n(w) be the third derivative of k(w). Let n(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-5)\/3). Let n = 434 - 431. What is the nearest to 1 in -4, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-1) + -3)*(-1 - -14). Suppose -r*v + 13655 = -11045. Round v to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4480893? (a) 1\/6 (b) -24\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + v - 9, t + 2*v - v = 6. Let c(f) = -f**3 + 18*f**2 + 19*f. Let u(w) = -3*w + 64. Let d be u(15). Let s be c(d). Solve -3*h + t = -s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 490*q**2 - 6*q + 70\/3*q**3 + 5\/12*q**4 - 14. Factor b(i).\nAnswer: 5*(i + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-31 + 16 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 504\/17 - 4321\/136. What is the common denominator of -23\/15 and t?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9204 by 42762.\nAnswer: 1534\/7127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*j - 12, 4*t - 5*j = -4*j + 21. Suppose -377 = 2*n - 4*y - 1095, 20 = -t*y. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42764844?\nAnswer: 2, 3, 379, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 562 divide 53603628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/22*-1*24\/4\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9\/10)*o)\/o**(-1\/15) assuming o is positive.\nAnswer: o**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5952994 and 4124?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-4 - -3) - -8. Suppose 3*b + 5*t + 3 = 2*t, 2*t - 16 = 4*b. What is the smallest common multiple of 14 and 5\/((-1 - b)\/a)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - 2184\/36)*-3. What is the greatest common factor of t and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*((3 - 4 + 3)*(-i + 2*i + i) + 1931 + 20*i - 1931) + (-i - 3*i + 3*i)*(-2 + 3 - 2).\nAnswer: -47*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 137*o + 1 - 211*o - 1. Let c = 138 - 136. Let k(a) = -928*a**c + 926*a**2 + 1 - 1. What is z(k(x))?\nAnswer: 148*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f - 85. Suppose 3*t = 0, -t = 5*g - g - 20. What is the remainder when c(-7) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286032 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1a1 (base 13) to base 4\nAnswer: -10230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 44 = 3*x, 5*x + 47 + 17 = q. Let u(b) = -54*b - 436. Let l be u(x). What is the highest common factor of l and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630563 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59.524 and -0.5155?\nAnswer: -30.684622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.99479 * -0.3.\nAnswer: -0.298437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 14) to base 15\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15*2\/(-10))\/(2 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 3. Let j be 2*2\/(-12) - (-51)\/99. Let f be 1\/153 - (11 - (-3100)\/(-279)). What is the nearest to f in y, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -713*x + 62. Let a(r) = -57*r + 5. Let p(u) = -62*a(u) + 5*j(u). List the prime factors of p(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/65, 1\/34, 2\/7, 0.1 in descending order.\nAnswer: 2\/7, 0.1, 1\/34, -1\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 12*o**2 + 9*o - 4. Suppose 53*d - 59*d = 66. Give k(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + (14 - -7 - 0) + -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*k - 32*k + 4*z + 8, -4*k + 2*z = 16. Let y(r) be the third derivative of r**5\/3 - r**4\/4 - 3*r**3\/2 + 2*r**2. Is y(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 8*r + 100*r - 2080 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -912, -905, -898, -891?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/20 - (-112)\/(-20). Let t(a) = -9*a**2 + 5*a + 4. Let u(o) = 9*o**2 - 6*o - 5. Let w(s) = x*t(s) - 5*u(s). Calculate w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/7345 and -27.\nAnswer: 7345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*k + 10994 - 3362 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-76))\/((-11 + 16)*(-1)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*x = -484, -479 = 6*z - 7*z - 4*x. What is the remainder when 1841 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*g - 10*g - 2*g)*(0 + 0 - 2 + (1 + 1 - 3)*(0 + 3 - 2) + 1 - 6 + 3 + 1 + 4 - 6).\nAnswer: 246*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012343244 (base 5) in base 6?\nAnswer: 112245400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 20*o**3 + 2*o**2 + 5*o - 215. Let m(v) = 14*v**3 + v**2 + 4*v - 144. Calculate -7*m(q) + 5*x(q).\nAnswer: 2*q**3 + 3*q**2 - 3*q - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 504030 - 503994.00072. Let w = -36 + p. What is w rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19323137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 10*l**2 + 24*l - 59. Let s(c) = -c**3 + 5*c**2 + 25*c. Let m be s(8). Let r be g(m). Put r, -6, 0.02 in increasing order.\nAnswer: -6, 0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 91\/14)\/(10 - (-4816)\/(-480))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9)*45\/10. Put g, 3, 5 in ascending order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146 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: What comes next: 2745, 11015, 24807, 44127, 68981, 99375, 135315, 176807?\nAnswer: 223857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**9\/12096 - o**8\/6720 - o**3\/2 + 2*o**2. Let v(f) be the first derivative of h(f). Factor v(n).\nAnswer: n**4*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o + 4. Let b be k(8). Suppose b = 2*y - 0*y. Let w = 17 - 13. Solve -4*x - w*r - 16 = 0, -2*r = 3*x + 2*r + y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 + -1486456\nAnswer: -1486456.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 198?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*f*s**3 + 1670*f + 8*s**4 wrt s?\nAnswer: 108*f*s**2 + 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1119, -3, 850.\nAnswer: -1119, -3, 850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1015 + 1802. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6)*((-36)\/10)\/2)\/(1059\/(-14120))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(810) - (sqrt(810) + 3*sqrt(810))) + -2.\nAnswer: -2 - sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 17\/15*n**3 - 71\/20*n**2 + 18\/5*n - 165 + 1\/40*n**4. Factor a(d).\nAnswer: (d - 1)**2*(d + 36)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 849495767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 + (6 - (-2 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + -86 - (2 + -1 - -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4 + c**3\/3 + c**2\/2 - 11. Let a be z(-1). What is the second derivative of -p**3 + 3*p - 4*p + a*p wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 8423696*r + 8423696*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - 4*g + 2. Let j(k) be the third derivative of -13*k**5\/60 + 17*k**4\/24 - 3*k**3\/2 - 38*k**2. What is -2*j(h) - 9*l(h)?\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -23*j**7\/315 + j**6\/9 + 13*j**5\/45 - 5*j**4\/9 - j**3\/3 - 59*j**2 + j. Solve d(a) = 0 for a.\nAnswer: -1, -3\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1170.29281?\nAnswer: -1170.29281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 17*d - 8. Let a be f(1). Solve 199*r - a = 201*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 1.2. Let u = m + -0.5. Which is bigger: -1\/2 or u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264399397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m**2 + 0 + m**3 - 1 - 8. Give z(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b**2 + 81*b - 14. Calculate x(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -12. Suppose 4*p + 11 = 2*o + s, 12 = 4*o - 5*p. Let x be (-4)\/(-6)*o\/4. Which is the nearest to -0.2? (a) 4 (b) x (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 202 and 34395.\nAnswer: 6947790","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 76608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*i*n*w**4 - 6*i*n*w**3 - i*n*w**2 + i*w**4 + 1719*i wrt w.\nAnswer: -624*i*n*w - 36*i*n + 24*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5876, 5869, 5862, 5855, 5848, 5841?\n\"Answer: -7*j + 5883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2. Let k(t) = -6 + 142*t + 6 - 110*t. Calculate y(k(g)).\nAnswer: 6144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -0.3. Let m = 3.6 - -0.4. Let k = -29.29 - -28.29. Sort 1\/5, m, k, p in decreasing order.\nAnswer: m, p, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) 2 (c) -127 (d) -10 (e) 5 (f) 4\/7 (g) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/8)\/168*-4*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 3, 53832, -3 in ascending order.\nAnswer: -3, 3, 5, 6, 53832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 - 61e?\nAnswer: -5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srrr when four letters picked without replacement from rsrsrssrrssr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554952392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1.5, 0.22, -1\/4.\nAnswer: -1\/4, 0.22, 1.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g - 1. Let x be p(1). Suppose -3598 = -x*h + 10039. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49519 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -244*u - 91. What is k(-1)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 24. Let f = -19 - h. Let y = -248\/21 - -78\/7. Which is the nearest to y? (a) 2 (b) f (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33247?\nAnswer: 33247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55208, -55201, -55194, -55187, -55180?\n\"Answer: 7*s - 55215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -s, 130*s - 129*s = -4*t - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 68844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouutltdtddodogottt. What is prob of sequence oo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-15)*6\/8. Let d = 4.6 + -5. Let f = -50 + 51. What is the closest to f in x, 3, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59270 rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgnqrnnngnnqnnnrqrnq. What is prob of picking 1 q and 1 g?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 216, 325, 434, 543, 652?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/12 + j**3\/6 + 5*j**2 + 2*j. Let x = 2 + -2. Let q be g(x). Solve n = -n + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*((sqrt(104) - sqrt(104)*-2) + sqrt(104) + sqrt(104))*-4)\/(sqrt(512) + sqrt(512)*-2 + (-2*sqrt(32))\/sqrt(4)) + -4)**2.\nAnswer: -9440 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -368 or 0.9?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 110110011111101110001100 (base 2) to base 6\nAnswer: 1230105312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127.4 + 127.4. Which is the second smallest value? (a) -24 (b) -0.5 (c) 2\/11 (d) 0.5 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 - -14. List the prime factors of y.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-3))\/(58\/87).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11633 + 11633 - 23*t.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t. Let s be j(4). Suppose -b + s = 1. What is the remainder when 56 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1573 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -24. Let i = 3\/25 - 87\/100. Let m = -87\/8 - -941\/88. What is the nearest to m in i, s, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1242)\/(-72) + -16 - 530\/40\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/59 + -104\/413. Let j be (3\/8)\/(3 + -6). Suppose 0 = 2*k - 5*y + 15, 22*k - 4*y + 30 = 24*k. What is the nearest to a in j, -1, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -5. Let r = 0.3 + 0.7. Let u = -9 + 8. Which is the nearest to r? (a) u (b) -2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Let z(l) = 12*l**2 - 4*l + 4. Let m be z(2). What is the greatest common factor of m and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1891 (b) -1 (c) -5 (d) -0.2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 11*k - 8. Let c be x(-12). Suppose l + 3201 = c*l. Suppose -2*o - 2*p + 253 = -o, 3*p = 4*o - l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 - 68*t**4 - 630*t**3 - 692*t**2 + 2944*t + 3072 = 0.\nAnswer: -16, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -25468996510 to the nearest one million.\nAnswer: -25469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -848524, -848513, -848502, -848491, -848480?\n\"Answer: 11*p - 848535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k + 2. Let r be t(5). Suppose r*a - 5*h = -a + 29, -h - 10 = -2*a. Suppose b = a + 5. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-49)*7*(-10)\/(-210).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 - 114.7. Let u = w - -8. Sort u, -0.2, -4\/7 in decreasing order.\nAnswer: u, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 15*v**2 - 51111*v - 408944. What is y(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -303, -271, -239?\n\"Answer: 32*i - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.74 less than or equal to -12088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 13 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*p**3 + p**3 + 0*p**3)*(5*p - 10 + 10).\nAnswer: -10*p**4 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.45921 centuries to months.\nAnswer: 95351.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -3*m + 10. Does 4 divide 884\/(-39)*(2 - m)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2471b (base 15) to base 10\nAnswer: 116351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:41 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)\/s)\/(s*s\/(((s\/(s**(-4)\/s))\/s)\/s))*(s*s\/s**(3\/11))\/(s*s**(-1\/6)*s) assuming s is positive.\nAnswer: s**(59\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 4, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(13\/8)*(-2)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36622*m**3\/5 + 6518772*m**2\/5 + 58018566*m + 443576\/5.\nAnswer: 2*(m + 89)**2*(18311*m + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -4671, -15924, -37835, -73956?\nAnswer: -127839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 4, 249, -3, 3 in ascending order.\nAnswer: -12, -4, -3, 3, 4, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46289 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 2*i + 0*i)*((i - 3 + 3)*(-1 + 2 - 4) - 3 - 5*i + 3).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 9. What is the smallest common multiple of (-17)\/b - 21\/(-28) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 48*u**3 + 26*u**2 + 12*u - 31. Let g be i(23). Suppose b + 298988 = -0*y + 4*y, 2*b + 5*y + g = 0. Round b to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 2 + (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 28 = -8*l + 10*l, 5*l - 20 = -t. Suppose t = 3*r + 3*g, -g - 24 = -5*r - 5*g. Solve -12 = r*i + 4, -4*d - 24 = 5*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/1518 and 121\/2652?\nAnswer: 670956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8b + 0?\nAnswer: b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*s**2*v**3 + 2*s**2*v**2 - 5*s*v**3 + 899*v**2 wrt v?\nAnswer: 588*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 0.023.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 7:24 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 4, 1\/3, -322, -1?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.308 + 0.036. Let k = -0.193 - v. Round k to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*u + 57*u - 43*u)*(-1 - 2*u**3 + 3 + 0) in the form i*u + d*u**4 + q*u**2 + f*u**3 + l and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -n - 4, -48 = -3*n - n + 4*p. Let r be (n\/(-12))\/(-4)*0. Let l be 77\/(-7)*(-3 - r). What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 126*a**2 - 123*a + 524. What is the remainder when 1700 is divided by u(64)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(-10)*((-36)\/10 - -2). Suppose -3*a - o*i = -19, i + 14 = 3*a - 0*a. Let g = 19 - 8. What is the lowest common multiple of a and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.3051 to 0 dps.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**3 - t**2 - 1274*t - 5. Let n(a) = -5*a**3 + a**2 + 1260*a + 4. What is -4*i(u) - 5*n(u)?\nAnswer: u**3 - u**2 - 1204*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 - -136. Calculate the highest common divisor of c and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993621 is divided by 4642.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t**2 - 2*t + 2. Let x be p(-2). Let c be (4\/x)\/(2\/(-2)). Suppose -c*f + 158 + 156 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/12 - 7*x**3\/3 + 6*x**2 - 15*x. Let p be t(16). Suppose 5*d + p = d. Which is bigger: d or -13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kdwelwvld?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 31, 34, 19, -20, -89, -194, -341?\n\"Answer: -v**3 + 22*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3 + 14*i**2 - 15*i = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 9*u + 3. Let a be h(8). Let j(v) = 4*v + 9. Let r be j(-5). Let p = a - r. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013222504 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34685 and -1.\nAnswer: -34686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04536 to four dps.\nAnswer: 0.0454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86.5 - -11.5. Let x = 73 + c. Let f be 28\/(-56) - (-2)\/4*11. What is the nearest to 0.2 in x, 3, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 2, p: 2}. Give prob of sequence pyp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5969, 5973, 5977, 5981, 5985, 5989?\n\"Answer: 4*b + 5965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17756 - 17755. Sort 614, v, -2 in increasing order.\nAnswer: -2, v, 614","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 168. Give w(37).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142.9 + 143. Let o = -8.3 - -8. What is the fourth biggest value in o, 0.4, l, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*w - 22, 0 = -5*h - 3*w - 1 + 30. Suppose -h*t = -5*k - 216, 5*t + 3*k = -30 + 300. Let y = -45 + t. Which is bigger: y or 25\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15234 divided by 3.\nAnswer: -5078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 173, 178, 183, 188, 193?\n\"Answer: 5*n + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5 = 8*m, 5*m + 54 = -5*x + 44 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313213330 + 3?\nAnswer: 313213333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 2*n + 2*n)*(4*n - 2*n + 0*n)*(40 - 88 + 102).\nAnswer: 108*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2\/1) + 1. Let n(u) = 9*u + 402. Let g(k) = -2*k - 80. Let x(z) = 5*g(z) + n(z). What is x(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486011233?\nAnswer: 21647, 161039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214.284 - 1.284. Which is the fourth smallest value? (a) -4 (b) -1\/9 (c) l (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 70 + -28 - (0 - -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*p**2 - 12*p**2 - 841 + 838 to f*p**2 + d*p + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3\/5)\/o)\/o**(-1\/5)*(o\/(o*o*(o*o*o**(-2\/3))\/o))\/(o*o**1*o)*o**(2\/7)\/(o*o**5\/o)*(o\/(o**(1\/7)\/o)*o)\/(o*o**0) assuming o is positive.\nAnswer: o**(-797\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = b, -4*l - b - 12 = -3*b. Sort -0.4, -2\/21, -5\/7, l.\nAnswer: l, -5\/7, -0.4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-110) + (-2)\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a**(2\/13)\/a))**(-14\/5)\/(a\/(a\/a**(-11)*a*a)*a**(-6\/11)\/a) assuming a is positive.\nAnswer: a**(540\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285569.\nAnswer: 3, 142841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2236338, -4472656, -6708972, -8945286?\nAnswer: -11181598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20000b (base 16) to base 12\nAnswer: -851777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-6)*2*(-2 + 1). Suppose g*m - 330 = 30. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l - 8. Suppose 2*w = 6*w + 24. What is s(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3248 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 7106?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (279\/18 - 15)*-30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 0.196. Let h = -0.1 + -0.02. Let d = h + o. Round d to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.2 and -524.\nAnswer: -528.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -17*u**3 + 718*u**2 - 51*u - 4910. What is j(42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - u**2 - 3)*(83 + 38 + 32).\nAnswer: -153*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/8)*z*z**(20\/7)*z)**(1\/10) assuming z is positive.\nAnswer: z**(307\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -345*((-43)\/15)\/(-43)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -368748 or -368755?\nAnswer: -368755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 24. Which is the closest to 0? (a) 4 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 655623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 9:41 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*f = 0, 70*f - 68*f = 4*d - 4. Solve -d*n - c = 11, 3*n + 2*n - 10 = 5*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t. Let k(y) = 12*y**2 + 144*y. Let x(i) = -k(i) - 48*z(i). Let s(p) = 3*p. What is s(x(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - k + 13*k**3)*(-1 + 6 - 2)*(-13*k + 162 - 162) to m*k**4 + z + l*k**3 + h*k**2 + y*k and give m.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -24. Let l be (-127 + 4 + (-7)\/1)\/b. What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x + x)*(3 - 4 - 2) + 0 + 0 + x + 2*x + 0*x + 0*x + (-4 + 2*x + 2 + 0)*(4 - 2 - 1).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 389883 divided by 5\nAnswer: 389883\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 697000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:57 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -357167 divided by 3\nAnswer: -357167\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = 19*h - 347898. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214745742 by -4941.\nAnswer: 43462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12\/33*(165\/12)\/((-26)\/(-52))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -270*p + 3535. What is the remainder when 109 is divided by m(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 8*w**2 + 15*w - 12. Let q be o(6). Let b = 467 - q. List the prime factors of b.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 0*w**2 + 3 + w**2 - 81209*w + 81209*w.\nAnswer: w**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 7827 = 9*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five eighths of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*w + 130*w = 1551 - 451. Let p(s) = 1. Let k(f) = -f**3 - f**2 - 14*f - 3. Calculate w*p(i) + k(i).\nAnswer: -i**3 - i**2 - 14*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118, -100, -82?\n\"Answer: 18*d - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.6. Let y = -1055\/9 - -117. Which is the second biggest value? (a) t (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 55*h - 40*h - 26*h - 70*h.\nAnswer: -81*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/18 and 109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11437*j**2 - 514*j + 1002*j**2 + 514*j.\nAnswer: 12439*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*i + 0 + (5*i + 24*i - 13*i)*(0 + 5 - 2) - 2*i - i + 2*i + i - 4*i + i + (2 - 1 + 1)*(5*i - 5*i + 2*i).\nAnswer: 46*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -305\/396 - -2\/99. Let f = -4 - -7. Let l be 4\/12 - 16\/f. Sort i, 2\/3, l in decreasing order.\nAnswer: 2\/3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*o - 209 - 19. Put 224, -4, 0, o in increasing order.\nAnswer: -4, 0, o, 224","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*u**5 + 45950*u**2 - 3*u - 2282026 wrt u?\nAnswer: -420*u**3 + 91900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 114?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1791296 is divided by 226?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -2\/3, -0.8, -9.21, -1?\nAnswer: -9.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {w: 2, v: 1, c: 2, x: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2531 + 1328 + 1203 + 12*b**2 + 16*b**2. Let f(z) = 74*z**2. Give f(a(j)).\nAnswer: 58016*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 3*d**2 - 3*d - 5. Let p(w) = 4*w**3 - 14*w**2 - 14*w - 24. Let x be ((-52)\/(-8) + 4)*4\/(-3). What is x*g(u) + 3*p(u)?\nAnswer: -2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1023660 + 33?\nAnswer: -1023626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 1\/8*t**4 + 0*t + 2*t**2 - 1\/3*t**3 + 0. Let r(h) = 4*h - 2. Determine -3*i(j) + 2*r(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 5 + 184\/(-36). What is d in -16\/9*d**2 + 10\/3*d**3 - 2\/3*d - u*d**4 + 0 = 0?\nAnswer: -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 285*d + 91. Does 2 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1088476*-0.6.\nAnswer: 653085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 7:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.7 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*g**2 - 20*g**3 + 2 + 21*g**3 - 11*g**2 to the form m*g**2 + z*g**3 + o*g + d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5874880608?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, -1\/12, -0.1, -5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 10*s**3\/3 - 11*s - 10. Differentiate n(o) wrt o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -674612 take away 0.017103483?\nAnswer: -674612.017103483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = -o - 3*o, j - 3 = -o. Suppose q = 2*c + o*q + 14, -c + 5*q = -23. What is the lowest common multiple of 11 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004.2 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2977\/402 + -35\/134. Let c = -2 - -43. Find the common denominator of h and (6\/20)\/((-6)\/c).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114814 (base 10) in base 9?\nAnswer: -2078212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 7*z**2 - z**2. Let f(j) be the first derivative of 5*j**3\/6 + 2*j - 1. Let g(a) be the first derivative of f(a). What is u(g(l))?\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*z**2 + 3 + (0*z - 3*z + z)*(-1 + z + 1) + (0 + 1 - 2)*(-4*z - 7 + 7)*(-2*z + 4*z - z))*(3 - 4 - 12).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.03 + 45.03. Let n = -43.99979 + b. What is n rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-6)*t))\/((t\/(t\/t**(-10)))\/t))\/(((t\/t**0*t)\/t)\/((t\/(t*(t*(t\/t**(-1\/3))\/t)\/t))\/t)) assuming t is positive.\nAnswer: t**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 2}. Give prob of sequence sc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/18 - 3)\/(5510\/(-348) - (-32)\/2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:49 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.07, 0.05, -2\/3, 0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/4 - 2229*l**2 - 8915*l\/4 = 0. Calculate l.\nAnswer: -8915, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**3 - 413*g**2 - 434*g**2 + 847*g**2.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y + 8*y - 23 + 2*y + y**2. Does 21 divide f(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(-196)*12\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 2*f - 7*f + 3 - f. Let k be r(4). Let a = 18 + k. Solve 8 = 3*g - a*y, 2*y + 4 = 3*g - 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -7, 0.1, -2, -4, 89\/14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4068.494 kilometers?\nAnswer: 4068494000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 4. Suppose 6 + 14 = q*t. Find the third derivative of -a**2 + 3*a**t - 2*a**5 - 3*a**4 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3 + 8754*j**2 + 12165342*j + 5197621934 = 0.\nAnswer: -1777, -823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 3*i = -15, -o + 2*i + 10 = 0. Let h = o - 3. What is the units digit of -1 + 0 + 0 - h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 2291212?\nAnswer: 11456060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 16170.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/5 - 36*u**4\/5 - 452*u**3\/5 - 378*u**2\/5 + 451*u\/5 + 414\/5 = 0.\nAnswer: -9, -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*3\/9)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one eighths of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/7)*w*w*w**(-19\/5)\/w)**(-3\/31))**(-5\/9) assuming w is positive.\nAnswer: w**(-118\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7595 greater than -7559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than -4889?\nAnswer: -4888.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26957406.958123 and 5.\nAnswer: 26957411.958123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -518 + 468. Is 2*15\/s - (-836180)\/50 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 3*p)*(4*p - p - 5*p) + 3*p**2 - 7*p**2 + 3*p**2 + 4 - p**2 - 4 + 8*p**2 + 11*p**2 - 8*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:22 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5343?\nAnswer: 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2475 + -2374. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204079 + 1195*p - 204079.\nAnswer: 1195*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2107*v + 57023. What is k(27)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 3*b + 11*b - 3*b - 3*b)*(-2907*b - 225*b**2 + 2907*b) to f + n*b**2 + m*b**3 + o*b and give m.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - 11*r**2 - 1. Give t(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403626302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.757 - 12.7594468. What is c rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -0.13, -2\/7, -14 in increasing order.\nAnswer: -14, -6, -2, -2\/7, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381605, 762769, 1143933, 1525097, 1906261, 2287425?\nAnswer: 2668589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3\/8, -0.2, -0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4*sqrt(153))\/sqrt(9) - (sqrt(153)*-1)\/sqrt(9)) + 4.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/3)\/c*c**(5\/4)*c*c**(-2\/19)\/(c**(-1\/5)*c) assuming c is positive.\nAnswer: c**(3053\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18690 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/104 (b) -0.5 (c) 93 (d) 2\/9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006128075 rounded to six decimal places?\nAnswer: -0.000613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172909\/420 - 143\/140. Let u = 411 - s. What is a in 0*a**2 - u*a**4 + 0 + 0*a**3 + 0*a = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*n**2 + 5*d**3 + 12*d - 302*n**2 with respect to d.\nAnswer: -6*d**2*n**2 + 15*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 220\/819 + 2\/117. Factor -2\/7*n**3 + 0*n + 0 + k*n**2.\nAnswer: -2*n**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5795 and 8615 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2, 11 = 3*b - 6*r + 4*r. Suppose 2*y + 3*s = 18, 4*s - 8 + 1 = b*y. Solve -q - 2 = -y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**5\/120 + r**4\/8 + 55*r**3\/6 - 46*r. Let x(h) be the second derivative of y(h). Give x(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -567460 and 37.6?\nAnswer: -21336496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o - 2. Suppose 16 = -4*a + 40. Let x be (-3)\/a*(1 - 9). Let f be h(x). Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z**(-31)*z)\/z*z)*z\/(z\/(z**(-24)\/z)) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/9, -963.9?\nAnswer: -963.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022 - -10?\nAnswer: 12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -977697 or -977704?\nAnswer: -977697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15*(-10)\/(-45) - 4*1. Which is the nearest to p? (a) 26 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 23*l - 26. Let r be f(-18). Suppose 193 = 3*w + r. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 4 - 10*x - 3. Let l = -28 + 77. What is the remainder when l is divided by t(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 183 = -115. Let d = 8 + -7.7. What is the smallest value in d, 1\/6, a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20914 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehsnm. What is prob of picking 1 n and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58411*g + 24868*g - 42447*g.\nAnswer: 40832*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - q + 3*q)*(-4 + 9 + 0)*(215 + 257 - 594) to the form w*q + m and give w.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u - 3*u - 42 - 48 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/10)\/(18\/45). Suppose w*m = 6, -m + 70 = 2*o - 0*m. Suppose 2*c - o = 4. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 7*z - 50. Let u be w(-8). Sort -5, u, 4 in ascending order.\nAnswer: -5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 852.34 + -851. Let f = 44 - 44.91. Let n = w + f. What is n rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 21*m - 72 = 0, -5*m + 1 = 3*l - 2*m + 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k - 82*k = -48*k - 42. Let r(t) be the third derivative of -t**4\/12 + t**3\/3 - t**2. What is r(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3311 (base 4) to base 8.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -n + 5147. List the prime factors of n.\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3 + 167*k + k**2 + 171*k - 341*k - k**3. Let n(u) = u. Let d be n(-3). What is the units digit of s(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213\/13 + -9785\/598. Find the common denominator of a and (-1*2)\/((-16)\/(-118)).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165944184 to the power of 1\/2, to the nearest integer?\nAnswer: 12882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Suppose 5*g + w - 73 = s, -6*g + 2*g + 59 = w. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)\/(12 + (-231)\/22). Suppose -2*x + 7 = -1. Which is the second biggest value? (a) x (b) g (c) -3\/7 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 18. Let x = 146 + -143. Suppose -g + 4 = -x*n + 3, 0 = 3*n - 15. What is the lowest common multiple of g and w(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4.23, -5\/9, 3, 2, 1 in descending order.\nAnswer: 3, 2, 1, -5\/9, -2, -4.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**5 + 4*d**5 - 3*d**5)*(-1 - 4 + 3) - 2*d**5 + d**5 + 2*d**5 - 2*d**5 + 6*d**5 - 3*d**5 - 3*d**5 - 6*d**5 - 17*d**5 + (4 - 4 + 2*d)*(4 - 4 - d**4).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 - -1163?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9558 (base 12) to base 3\nAnswer: 211102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0273 + -0.5273. Which is the smallest value? (a) v (b) -4 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185345, -741401, -1668159, -2965619, -4633781?\nAnswer: -6672645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*i + 37316 = 188*i. What is the smallest common multiple of 24 and i?\nAnswer: 11784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 63 - 45 = 0. Suppose 2*g + 7*g = l. What is the least common multiple of 9 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.003? (a) 2 (b) -1 (c) -2\/17 (d) 1\/3 (e) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -498 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.6 + -1.1. What is c rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/6 - (-2)\/4. Suppose n*f + 55 = 220. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(210)\/sqrt(7)*5)\/(sqrt(486)*-3).\nAnswer: 4*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2. Suppose -6 = -2*h + 4*m, -7 = 5*h - 4*h + 3*m. Let j be l(h). Find the third derivative of 12*u**3 - 13*u**3 + j*u**2 + u**2 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poo when three letters picked without replacement from {p: 7, o: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12077487 divided by 60087.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4, 2, 6, 1, 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:53 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 3. Let n be j(4). Let l(o) = -3555052*o + 3555052*o + 1 - 7*o**3. What is l(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-35))\/(((-12)\/21)\/((-816)\/306)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -1. Let h = 3.85 + -5.85. Let y = h - r. Put -4, -0.04, y in decreasing order.\nAnswer: y, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 47 (b) -1\/3 (c) -52\/1285 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3617*m - 3614*m - 6 = 0, -4*s + 4*m = 36 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -5, 5, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -27*o - 18. Let x be b(-4). Let z be x\/(-4)*272\/(-170). Which is bigger: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4592*x - 1947*x + 0 - 2208*x + 0 - 1288*x.\nAnswer: -851*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8*n\/n**(-1\/3)*n*(n\/n**1)**(-42) assuming n is positive.\nAnswer: n**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -14*o**2 - 26*o + 6. Let y(a) = -5*a**2 - 9*a + 2. Let d(w) = -4*k(w) + 11*y(w). Let u be d(-6). Let b(q) = 2 - 4 - 51*q + 49*q. Give b(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1*-1*(-7 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 7 = -h. Let r be h\/(-5) + (-36)\/15 + 3. Suppose -40 + 15 = -n + r*p, -2*n + 36 = 3*p. What is the smallest common multiple of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02547752 to 4 decimal places.\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, z: 1, d: 5, m: 3, f: 1}. Give prob of sequence bmfz.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5*z. Suppose 4*t - 3*t - 5 = z. Suppose -2*q - t = -11. Solve 0*c + q = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**1*a)\/a)\/(a**(-2)\/a))**(-39) assuming a is positive.\nAnswer: a**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 c when three letters picked without replacement from {e: 1, k: 5, w: 2, g: 1, c: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 0*q - 196 + 263 + 8*q.\nAnswer: q + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let v(n) = 7*n + 5. Let h be 99\/21 + 2\/7. Let i(q) = 10*q + 7. Let a(f) = h*i(f) - 7*v(f). Determine a(x(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*j + 1, 15*j - 2 = 5*u + 18*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 14 + 30. Let a = -3 + 9. Suppose -274 = -a*x - k. Calculate the remainder when x is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + sqrt(175)*-2 - -2*sqrt(28)) + sqrt(49)\/sqrt(112) + sqrt(847)*1)**2.\nAnswer: 11767\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(30*l**5 + 200*l**5 + 7*l**5).\nAnswer: -237*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:11 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 4104, -6 in decreasing order.\nAnswer: 4104, 45, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76568938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/10*42\/9. Let g(q) = 4*q + 0*q + q - q - d. Calculate g(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25211*f**4 - 66*f**3 + 2591*f**2 + 1885*f + 1?\nAnswer: -605064*f - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42218.\nAnswer: 2, 11, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*d + 16236 + 3276 = 519*d + 61*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7194 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 67*m. Let f(l) = 7*l**2 + 15*l + 5. Let i(h) = 3*h**2 + 6*h + 2. Let b(p) = -2*f(p) + 5*i(p). What is n(b(t))?\nAnswer: -2*t**4 + 67*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 14*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - q)*(190 + 221 - 156)*(-14 - 4*q + 14).\nAnswer: -2040*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f - 21*f + 64*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**31))\/(h*h*h\/(h**(6\/23)\/h*h)*h) assuming h is positive.\nAnswer: h**(-799\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 156. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 22. Suppose 3*z + 3*u = 87, -l*z + 0*u + 4*u = -70. What is the remainder when 119 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127392059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 814 = -3*o, -5*o + 51 - 21 = 0. What is the remainder when 532 is divided by v?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/40300 and 89\/1380?\nAnswer: 2780700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 8)*((-2 + 4 - 3)*(6 - 6 - 14) - 5 + 4 - 1)*(7872 - 7872 - 153*m).\nAnswer: -14688*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + r + 1)*(-2*r**2 + 4 - 4)*(37*r - 10*r + 4*r).\nAnswer: -62*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 4, r: 3, n: 2}. Give prob of sequence nnc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12) - (-330)\/36. Solve -4*b + p = 5*u, 4*b + 2 = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12 - -13)\/((-1)\/6). Let g(d) = -6*d - 11. List the prime factors of g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1460696 and 968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*s**3 + 1859*s**4 - 1860*s**4 - 123*s**2 - 18*s**3 - 155*s**2 wrt s?\nAnswer: -24*s + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/1036*8\/6.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*c + 940*c - 13505 + 75749 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/60 - f**5\/30 - 2*f**3\/3 - 12*f**2. Let o(d) = 2*d**3 + d**2 + 3. What is -3*o(g) - 2*z(g)?\nAnswer: -2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*k*k\/(k**(-2\/9)*k)*k*k)*k*k*(k*(k*k\/(k*k*k**(-2)*k))\/k)\/k*k**(-2\/3)*k\/k**(-1\/4)*k assuming k is positive.\nAnswer: k**(-23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11794611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-13)\/y**(-3)*(y**(-3)*y)**(-16) assuming y is positive.\nAnswer: y**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 17*y. Let s(r) be the first derivative of -6*r**3 - 284. Calculate q(s(t)).\nAnswer: -306*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -18*j**4 - 700*j**2 + 160*j**3 + 1500*j + 115 + 4\/5*j**5. Find g such that i(g) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -1147*u**4\/6 + 885*u**3\/2 + 1922*u. Find the second derivative of r(i) wrt i.\nAnswer: -4588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 10*c - 20*c + 70 = -2*i, 28 = -4*i + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -36520.\nAnswer: 1\/7304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 184.1941 micrograms?\nAnswer: 0.0000001841941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 106896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12068.9 and -3.\nAnswer: 36206.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(14\/28*-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnnmnnonnonqnoqnnqo. Give prob of sequence qmo.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 11) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3\/7 + 248*m**2\/7 - 3408*m\/7 + 10656\/7 = 0. Calculate m.\nAnswer: -74, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -686, -8, -1 in increasing order.\nAnswer: -686, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-8)*116\/(-6)*-4. Let r = 90 - w. Let f(t) = 3*t**3 + t**2 + 5*t - 5. List the prime factors of f(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n + 3. Suppose 3*r + 1 = -2*d, -4*r + 21 - 7 = -5*d. Let i = 4 - r. What is the lowest common multiple of b(i) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/2145*-33 + 31.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 11648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0002 + -67.4002. Let f = 10.6 - v. Let o = 78.0000099 - f. What is o rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 greater than -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -3\/19, -2\/9, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + 21. Let o = g + -94. What is the greatest common divisor of o and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*84\/31416 - (2708\/1155 - 2).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 80*c - 1136. Suppose 0*s + 4*s - 272 = 0. Calculate the remainder when m(26) is divided by s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163974*m**2 - 163974*m**2 + 3*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -17. Let o = p + -14. Let g = -6.999997 - o. Round g to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2983*d + 323*d + 56202 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**4\/4 + 17*b**3\/3 + b**2\/2 + 5*b + 3. Let g be (-34)\/(-12)*-2*-3. What is the smallest common multiple of 18 and a(g)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/81 and -43\/811?\nAnswer: 65691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -53997.9 take away -7.78546?\nAnswer: -53990.11454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 925\/4 - 6261\/28. Find the common denominator of -73\/22 and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from yyoaboloybh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.14 + -1.66. Which is the closest to -1? (a) d (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 96 = -2*c. Let n be ((-54)\/c)\/(3\/4). Solve 11 = -0*b + 2*b - v, 0 = -b - n*v - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397941*m**3 + 795933*m**3 - 398017*m**3.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -0.3, -0.2, 2\/15, -3\/5, 33?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/450)\/((-35)\/(-8820))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(285\/(-25) - 60\/(-6)) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3772, -7479, -11120, -14695, -18204?\nAnswer: -21647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + -6?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 0.023405.\nAnswer: 0.123405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 712 or 711?\nAnswer: 712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 464853.7 kilograms in micrograms?\nAnswer: 464853700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k + 7. Let c be f(0). Suppose -2*p + c*p = -5. Let s = 6 + p. Solve s*h - 1 + 2 = 4*g, -5*g = 2*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 15 + 1. Suppose -m - 133 = 5*a. Find the common denominator of 22 and (-5)\/a - (-15)\/(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 take away 30564977.0882?\nAnswer: -30564948.0882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 609, 1699, 3515, 6057, 9325, 13319, 18039?\nAnswer: 23485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 186 = 8*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 + 70*c**4*s - 13564*c**3 + 217*c**2 - 5*s - 288 wrt c?\nAnswer: -60*c**2 + 1680*c*s - 81384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10084, 10075, 10056, 10021, 9964, 9879, 9760, 9601?\n\"Answer: -c**3 + c**2 - 5*c + 10089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184837675.\nAnswer: 5, 11, 672137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 43*h - 2580 = -2662 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 19 = -5*m, 5*m - 6*t = -4*t - 27. Is -8 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -j - 5*n, 400*j + 4 = 395*j + 3*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(128) + 0 + -1 - sqrt(128))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 244*m + 3823. Calculate y(-19).\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 415400 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 133870.\nAnswer: 937090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 2, 1.\nAnswer: 1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 39, 52, 47, 18, -41, -136, -273?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -625, -1254, -1887, -2524, -3165, -3810?\nAnswer: -4459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 41691 + 3701 = -11558. What are the prime factors of q?\nAnswer: 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueeeyeyeyyefeyyeyfe.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 182653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208126, 1665424, 5621076, 13324258, 26024146, 44969916, 71410744?\nAnswer: 106595806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -15, -30, -47?\n\"Answer: -r**2 - 10*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 334*o**2 - 3053*o + 357. Determine j(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*r + 45 + 29 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30325281677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m + 108 + 1\/3*m**3 - 2*m**2. Find h, given that f(h) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -11.7. Let b = h - -13. Let n be 2\/5 + 14\/(-10). What is the smallest value in 3, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 3 (c) -3 (d) -6.5 (e) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 a when three letters picked without replacement from {g: 1, q: 4, r: 2, j: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 873571192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(36\/(-13)))\/(2*1\/(-8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.5, -0.5, -5, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156 - 369) + 216 - (-106 - 1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-33)*-10*(-348)\/16. What is the greatest common divisor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*(130176\/(-2100) + 62))\/(6\/(-70))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 304 = t. Suppose 4*n - 4*f = t, 2*n - 51 - 27 = 3*f. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/((-9)\/30). Let i be -1 + 1 + 0 + 3. Suppose -p*n - s - 2*s = -31, -5*s + 25 = i*n. What is the lowest common multiple of n and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + 0)) + (-3 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + -31?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -6*v - 16*v. Solve -6*w + 10*w + v = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10980 and -53\/900.\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 20*b - 1. Let t be (-3)\/(-2*1\/2). Is q(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2\/7*c**5 + 26\/7*c**2 + 2*c**4 + 0 + 8\/7*c + 30\/7*c**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 2*d**3 + 68.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*-2 + sqrt(19) + ((sqrt(19) - sqrt(76)) + 3)**2.\nAnswer: -7*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 2*h. Let n = 16 - 13. Let b(i) = i**2 - i. Give n*w(y) - 5*b(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/30 - ((-1484)\/(-3360))\/(228\/(-48))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2 and -25\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/10)\/(r*r\/(r*r**4*r)*r*r))\/(r**(-1))**49)**(-3\/28) assuming r is positive.\nAnswer: r**(-219\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -385 - -511. Do u and 126 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/2)\/3*17. Let b = 0 + w. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13744, 13742, 13740, 13738, 13736?\nAnswer: 13734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**7\/840 - m**6\/720 + m**4\/6 + 2*m. Let j(v) be the third derivative of f(v). What is the second derivative of j(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8222 - 232105*r**2 + 8222.\nAnswer: -232105*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -76 + (36 - -20) - (-54 + 2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) + (sqrt(100) + sqrt(100)*-2 + sqrt(100) - sqrt(100)) + sqrt(100) + sqrt(100))*5 + sqrt(100))\/sqrt(10))\/(sqrt(4)\/sqrt(2)*-6 - sqrt(98)*2).\nAnswer: -11*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -2*i**3\/3 - 25. Let m be (18\/8)\/((-30)\/(-80)). Let f(c) = m*c**2 - 5*c**2 + 6*c**2. Calculate f(o(v)).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110440 - 110447 = z, a - 10 = 22*z + 103 + 42 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13515298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 274a?\nAnswer: -2745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 + 738*w**2 + 96084*w = 0. Calculate w.\nAnswer: -102, 0, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 143365674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (4 - 1) - -4. Suppose 2*r + a = -2*b - 2*b, 2*r + 3*b + 5 = 0. Solve -3*p - r - 10 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {w: 3, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3569.19 + 179.91?\nAnswer: -3389.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1022?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, d: 11, h: 1}. Give prob of sequence hd.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 - 14*j**2 + 10*j**2 + 24*j**2.\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*x - 3. Suppose 3*s - x*b - 2 = 4, -5*s = 4*b - 10. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*2)**2 + (sqrt(475) - -2*sqrt(475))**2.\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.2 + 62. Put -6, 0.1, i in ascending order.\nAnswer: -6, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14836155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-96)\/(-58560018)) - 3\/(-8). What is q rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 1. Let l(a) = 6*a**2 + a + 1. Let v(x) = -5*j(x) + l(x). Let q be v(-3). Suppose u = -2 + 2. Solve u = -p - q*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + -5.2. Let j = 0.1 - 0.2. Is j greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -444, 2, 0, 30, -3, -4.\nAnswer: -444, -4, -3, 0, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-16)*g*g*g**(-32))**(-12))**(2\/35))**(2\/19) assuming g is positive.\nAnswer: g**(2208\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50792 divided by -6349\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 1\/29, 0.1, 32\/20911?\nAnswer: 32\/20911","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -0.09, -10\/18399?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.431 or -5?\nAnswer: 1.431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - 12. Suppose 0 = -5*t + 7 + i. Find the third derivative of 5*m**2 - t*m**5 - m**5 + m**5 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + f**2 - 4 + (1 + 8 - 6)*(-4*f**2 + 0 + 0))*(0 + 1 + 0).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 4*y. Suppose -6 = -2*s - y. Solve -s*d = 6 + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -528 + 319. Which is the closest to -0.1? (a) 2 (b) -5 (c) -0.4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5719531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 918*j**2 + 21*j + 50. What is the units digit of w(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 13) in base 9?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102964492 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)\/((-1)\/(-10 - -2)). Suppose y*j = -8*j + 320. Solve -n + j = 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (430 - 1079 - 723)*(4*n - n - 4*n).\nAnswer: 1372*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*w = 1, 7*h + 23 = 2*h - 3*w. Let a = -1.334 - -0.954. What is the nearest to a in -2, 0, h, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 + 384\/(-160).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 97. Suppose -2*a = 3*p - 32, 5*a + 4*p - j = -23. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -15. Let o = -4 - -1. Let g = o + c. Solve 5*y + 10 = -5*m, g*m - 24 = -3*m + 3*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5856, 46662, 157426, 373128, 728748, 1259266, 1999662, 2984916?\nAnswer: 4250008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -18) + (3 - 4) + 21 + -20?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 941675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - 20*t**2 + 50*t - 2*t**4 + 2439 - 2438 - 63*t as h*t**4 + l*t + w*t**2 + c + r*t**3 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.04827?\nAnswer: -0.14481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/3 + 11\/4. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*o - 2 + 55, -3*o + 5*l - 34 = 0. Let n = 253 - o. Suppose -7*j = n - 896. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 8*u**2 + 5*u**2)*(-5 - 6*u**2 + 5)*(0 + 0 - 3)*(-3*u + 0*u + 0*u).\nAnswer: -756*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -478 >= -505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 182, -2\/117?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011121 (base 3) to base 5.\nAnswer: 301401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20703 - 6806. What are the prime factors of l?\nAnswer: 13, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 divided by 3?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -19*y**2 - 4*y + 9. Let c be g(7). Round c to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36570966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 29 = -71. What is the remainder when 178 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -129841353131?\nAnswer: 129841353128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82282457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:46 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/770 - (-240)\/(-3036)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:17 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 679\/388 - (3 + 895\/20)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/90 + k**4\/6 - 5*k**3\/9 + 2*k**2. Find u, given that q(u) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8906 and 1464.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxi when three letters picked without replacement from wwixpdc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, g: 1, d: 1, a: 1, j: 3}. What is prob of picking 2 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/8*-2 + 3 + 204. Let n = u - 125. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1806*o + 938*o + 898*o. Let c(t) = -68*t. What is c(n(x))?\nAnswer: -2040*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 222 divided by -6257\nAnswer: -222\/6257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/477 and 13\/477.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 89?\nAnswer: 32\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*q**3 + 2129*q**3 - 695*q**3 - 769*q**3.\nAnswer: -516*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, 32, -333, 0.2.\nAnswer: -333, -213, 0.2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07112 - -3327754?\nAnswer: 3327754.07112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.049605 litres?\nAnswer: 3049.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 23. Suppose 3*z + 2*z + 5*i - 90 = 0, 54 = n*z - 5*i. Find m such that -8*m**2 + 30*m - z*m - 2 - 2*m = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 5 = 2*m - 3*b, 2 = -4*m - 2*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1900)\/29640*(-18)\/(-10)*5\/15?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2761390 = 116*i - 2765885 + 998403. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v**3 + 0*v + 1\/120*v**6 + 1\/12*v**4 + 0 - 11*v**2 + 0*v**5. What is the second derivative of r(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 885579.1 and 32161.4.\nAnswer: 917740.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, 3, 8, 13 in decreasing order.\nAnswer: 30, 13, 8, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 37*b**2 + 28*b + 372. What is c(38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, b: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w + 67. Suppose 5*k = -2*v - 140 + 136, 0 = 3*k + 12. Calculate r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q = 4*i + 32*q - 6, -3*i = 2*q - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*q - 83*q + 509*q + 36*q = -75576 for q.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 + -149. Suppose -v + 31 = -5*l. Suppose -l*o**3 + 5*o**3 + 12*o**3 - o**2 + 5*o**2 = 0. Calculate o.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155048.6 kilograms to nanograms.\nAnswer: 155048600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.004, -11, 14, 1\/4, 3, -5 in decreasing order.\nAnswer: 14, 3, 1\/4, 0.004, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.5 + 43. Which is the closest to 0.2? (a) -0.1 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2 + 3*l - 2. Let s(d) = 6*d**3 - 11*d**2 + 16*d - 11. Let a(v) = -11*g(v) + 2*s(v). Let q(y) = 2*y**3 - 5*y. Give -5*a(n) + q(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 - 4*k + 5. Let g be x(4). Let v = g + 19. What is the greatest common factor of v and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 7745*c - 1 = 7747*c, -c - 3 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-8))\/((-4)\/(-48)). Is i\/3 - (-496 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, 1394, 3105, 4816, 6527?\nAnswer: 8238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 (base 10) in base 15?\nAnswer: 36e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1. Let x(h) = -h - 6. Let p(j) = -5*f(j) - x(j). Let q be p(7). Suppose 7 = 5*u - q. Solve 9 = -m - 2*s, -u*m - 7 = -3*s + 4*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39008577, -39008575, -39008573, -39008571, -39008569?\n\"Answer: 2*o - 39008579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 683 (base 9) to base 16\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*d = 2223*d - 114954 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/((-6912)\/(-243)))\/(4\/4*-3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/95 - 281\/190. Is i at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, g: 15}. Give prob of picking 3 g and 1 k.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 11926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100776860.66000193 - 100776860. Let v = -4 + 3.34. Let y = z + v. Round y to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71435618.\nAnswer: 2, 35717809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 + 4 - 0) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*s + 14 = 0, 2*s = 7*u - 3*u - 2. Let b(h) = -34*h**3 - h**2 - 3*h. What is the units digit of b(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o - 55. Let v be m(-5). Find the third derivative of 17*q**4 + 13*q**4 + 0*q**2 - q**2 + 27*q - v*q**4 wrt q.\nAnswer: 600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110010002100 (base 3) in base 2?\nAnswer: -10111011111101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*a + 2 = 0, -2*w - 9 = -4*a - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (3 + -22)\/1. Suppose -v + 2*o = -6*v + 49, -q = -v + 3*o. Calculate the greatest common divisor of v and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a**2 - 5*a**3 + 6*a**2)*((5*a - 20 + 20)*(-4 + 0 + 2)*(-2 - 1 + 2) + a - 4*a + 2*a) to b + l*a**3 + f*a**2 + p*a**4 + w*a and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:17 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3\/17 (c) 74 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810 and 65010?\nAnswer: 1755270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84691?\nAnswer: 84691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5\/2 - 1020*s**4 - 105740*s**3 + 459120*s**2 + 159465240*s - 319904640 = 0. Calculate s.\nAnswer: -198, -48, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003001 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*h + 81, -h + 0*i = -i + 26. Which is greater: -22 or h?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 974288 and 560.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7521 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*p = 2 + 2, -4*l - 3*p + 2 = 0. Let t be 2\/6*(5 - l). Suppose -5*v + t + 19 = 0. Calculate the greatest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 44733206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -20*j - 13728. Let r = j + 1473. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.3 - -65.3. Which is the second biggest value? (a) 2\/3 (b) -3 (c) x (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-594*a - 91*a - 214 + 798*a - 102*a)*(0*a - a + 2*a) to d + g*a**2 + o*a and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12922, 12921, 12920, 12919, 12918, 12917?\nAnswer: 12916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 168 = -2*u. Suppose 18*s = 540 - 36. What is the highest common factor of s and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {j: 6, m: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37 (b) -6 (c) -4 (d) -27\/14 (e) 0 (f) 1.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -24, 3\/7, -1\/48?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2748, -4573, -6402, -8235?\nAnswer: -10072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 45 + -22 - (-11 + -2 + 0 + -52).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -75\/61112 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 7. Suppose 0 = 5*l - 1 - 39. List the prime factors of f(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(340)*-3)\/sqrt(10))\/(sqrt(2)*3*-1) + 1 + 0 + sqrt(1700) + sqrt(1700) + -4*-1*sqrt(1700).\nAnswer: 1 + 61*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662*f + 685*f = 828. Calculate the highest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004801 rounded to 4 decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 1. Let x(r) = -2*r + 4 - 3 - 5 - 5 - 6*r. Suppose 2 + 16 = g. Calculate g*w(j) - 2*x(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = 2*r - 2*j + 2, 0 = -2*r - 2*j - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0437894 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*g - 7678 - 6426. Which is greater: g or -1438\/17?\nAnswer: -1438\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-562)\/(-9) - (-12348)\/7938\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077677 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j + 410. Calculate the least common multiple of r(-26) and 276\/9 - (-14)\/(-21).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1767, 3537, 5307, 7077, 8847, 10617?\nAnswer: 12387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1505228, -1505222, -1505216, -1505210?\n\"Answer: 6*b - 1505234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7812 (b) 1\/3 (c) 28\/9 (d) 2\/7 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4172 (base 12) to base 10.\nAnswer: 7142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-35)\/14)\/(90\/(-24192)). What is the greatest common factor of 84 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*4.34.\nAnswer: -0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 2520?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -0.3, -0.1, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 - 14488*s - 13118884 = 0.\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 8. Let v be c(-7). Suppose -2 = 3*m + 13, 4*m + 28 = 4*i. Let u(f) = -465 - 5*f**i + 465. Determine u(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -91 (b) -2\/11 (c) -7 (d) -5\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(((-1209)\/(-39))\/(-32770658)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - -1 - (-45 + 40). Let u(a) = -17*a + 3*a**3 - 3 - 2 + 5. Let o(c) = -c**3 + 6*c. What is w*o(k) + 6*u(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.39, -0.06, -1 in decreasing order.\nAnswer: 3, -0.06, -0.39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + r + 151 - 197, 5*y - 88 = 2*r. Suppose 4*s = 2*l + 698 + 12, -3*l + 893 = 5*s. Calculate the remainder when s is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -297*d**3*s**2 + 2*d**3 + d*s + 10*s**2 - 45 wrt d.\nAnswer: -891*d**2*s**2 + 6*d**2 + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l. Suppose 0 = 4137*b - 4139*b - 12. Let x(p) = -125*p. Determine b*x(g) - 85*u(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:05 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjrj. Give prob of picking 1 r and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 + 1262*l + 9*l**2 - 1056*l - 10*l**2 - 9122*l to z*l**2 + x*l + w and give x.\nAnswer: -8916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -178. Let d be 1\/((3\/(-135))\/1). Let v be b\/18 + ((-70)\/d)\/(-7). Solve -k - 8 = -v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 813110985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21676850 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/141 and 131\/24.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and -5*2\/(-4)*4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = 2*g, 5*y - 137 = -4*g. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46353511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3944460 rounded to the nearest 10000?\nAnswer: -3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (-23)\/((-1518)\/(-286)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1850, 3414, 4978, 6542, 8106?\nAnswer: 9670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i + 2293 = -313*i + 31722 - 593 for i.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*d + 590, -6*s - 3*d + 977 = -s. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.32816? (a) 1\/2 (b) 3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621270 divided by -10.\nAnswer: -62127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 + -0.15. Let p = 0.7 + -1.7. Which is the nearest to p? (a) 1 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10310342 (base 5) in base 10?\nAnswer: -88222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 14*x**3 - 62 - 40*x**3 + 27*x**3 - 6*x**2 + 3*x. Calculate the least common multiple of 60 and t(7).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 2. Let s be a(-3). Let f = 109.2 - 109.5. Put f, 0.5, s in decreasing order.\nAnswer: s, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -399 + 362.1. Let o = 3138 + -3101. Let u = o + a. What is the biggest value in u, 0.02, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 16*b - 216131 - 175729. What are the prime factors of b?\nAnswer: 2, 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((36\/(-10))\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2465*y + 3*y**2 - 2465*y.\nAnswer: 3*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - -227. Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863943063 to the power of 1\/2, to the nearest integer?\nAnswer: 29393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-9))\/(6\/3 - 0). Which is the second smallest value? (a) -0.4 (b) 0 (c) r (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(88) - sqrt(88) - (sqrt(88) - (sqrt(88) + -1*sqrt(88)))*2)\/(-1*-5*sqrt(32)\/sqrt(4)).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3105 + -1713. Is 116 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.100084 less than -0.09?\nAnswer: 0.010084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 99*r**3 - 684*r**2 - 44*r**3 - 50*r**3.\nAnswer: 5*r**3 - 684*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33196507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6060*k + 72689. Give a(12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 215425, 215433, 215439, 215437, 215421, 215385, 215323?\n\"Answer: -o**3 + 5*o**2 + 215421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 8*j**2 + 5*j - 5. Let b be l(9). Let i = b - -158. Calculate the remainder when i is divided by 5 + -5 + (19 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-18))\/(3\/1903998*22\/(-33)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50326647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 5:42 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 31 = 17. Let i be 60\/d*(-8)\/12. What is the third derivative of 6*z**i + z**2 - 9*z**2 - 15*z**4 + 15*z**4 wrt z?\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -348731\/60 - -5813. What is the common denominator of 17\/60 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1003063 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7346 minus -0.3?\nAnswer: -7345.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -557 + 557.01. Let d = 0.35 + -0.25. What is the closest to d in z, 4, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 4:02 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1413 (b) -4\/7 (c) 2 (d) -5 (e) 1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b97b + -6c?\nAnswer: b90f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19237 - -27850. Is 99 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 + -117. Solve 0 = -2*x - 1 - z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 1. Suppose v = -20 + 19. What is q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*v + 199, -5*m - v = 2*v - 196. What is the remainder when m is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 19. Suppose -3*l = m - 8. Let -9*y**3 - 10*y**4 + 9 - 11*y**3 - 11*y**l - 10*y - 9*y**2 - 2*y**5 - 11 = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -782 + 784. Solve 2*z - 7*z = 4*w - 45, 0 = -q*z - 3*w + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 5. Let p = -5 - -8. Suppose 2*o - 15 - 3 = 2*m, -31 = -p*o - m. Does 5 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzd when three letters picked without replacement from {z: 3, d: 1, n: 2, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -0.27. Which is the biggest value? (a) y (b) -0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 218819 divided by 32?\nAnswer: 218819\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose t*u - 186 = 4*u - 3*f, -4*u + f = 689. Does 9 divide ((-1)\/3)\/(3\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 2117780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*l = -3*z + 2, 2*z - 2 = -3*l. Let u be (z\/(-14))\/((-3)\/21). What is the units digit of 508\/28 - u\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11\/6, -2\/11, -2443?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, u: 4}. What is prob of picking 2 t and 2 u?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 187428?\nAnswer: 187428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 301 = 4*f, 0 = -3*f - 4*j + 16 + 171. Suppose -4*q - f = -h, 3*q - 221 - 55 = -4*h. What are the prime factors of h?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 3*w**2 + w - 1. Let a be u(3). Let g be 2\/6*60\/5. Put -5, a, g in ascending order.\nAnswer: -5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -269, -403?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1613\/2 - 806. Put -3\/8, -0.14, z in decreasing order.\nAnswer: z, -0.14, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -111, -76, -5, 114, 293, 544, 879?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 + 32*c**3 - 33*c**3 + 9*c - 7*c**2 to x*c**2 + m*c + w*c**3 + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 - p**2 + 5*p**2)*(-p - p**2 + p) + (-4*p + p**3 + 4*p)*(17*p + 35 - 35).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50671877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(1\/2)*(k**(1\/4))**38*(k*k\/k**(1\/4))\/((k*k**(-8))\/k)*(k*k**(-6))\/(k*k*k\/(k\/(k*k\/(k**(-2\/7)\/k*k)*k))*k) assuming k is positive.\nAnswer: k**(237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -324\/2342017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-4))\/((12\/(-1))\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 485 = -22*b. Let r = -85 - b. Suppose 0 = -l - 2*m + 15, 2*m = -2*l - r + 48. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 0.018985.\nAnswer: -0.181015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13.295 times 0.1\nAnswer: -1.3295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 8 = 4*i - 11, 4*k = 4*i - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000257996204 rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 101*z**4 - 3*z - 45*z**4 - 30*z**4 - 31*z**4 + 26*z**3 as f*z + l + s*z**3 + q*z**2 + i*z**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 607 * 0.2\nAnswer: 121.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a + 3*a + 0*a)*(0 + 2 + 2)*(3*a + 3*a - 2 - a).\nAnswer: -140*a**2 + 56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 264*u - 240*u - 20*u**3 - 1 wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - (sqrt(133) - -2*(-1*sqrt(133) - sqrt(133) - sqrt(133)))))\/(sqrt(63)*1).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -13 + 1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (3 - 3)) + (6 - -41) - 6?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odoe when four letters picked without replacement from {o: 5, j: 1, d: 7, e: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:56 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c**2 - 3*c**2 + 2*c**2)*(c - c + 2*c) - 3 + 2*c**3 + 3 - c**2 + 2*c**3 + c**2 - 9*c**3 + 1 - 1)*(0 - c + 0).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11214553.99 rounded to the nearest 100000?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + a)*(32*a - 32*a + 3*a**2) + (-8 + 8 + 13*a)*(3*a**2 + 3*a**2 - 7*a**2) to the form o*a**3 + i*a + l*a**2 + y and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 4*z**2 - 11*z**2 - 31*z**2 to the form p*z + u + n*z**2 and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -43, -55 in increasing order.\nAnswer: -55, -43, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/565 and 61\/5.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 2*u + 2*u**2)*(u**2 + u**2 + 0*u**2) + 5491*u - 2646*u + u**4 + 64*u**3 - 2845*u to the form y + p*u + q*u**3 + v*u**2 + h*u**4 and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 5. Suppose -42 + 72 = -6*d. Let m(p) = -1. Calculate d*m(r) + k(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 3*o**2 + o + 16. Calculate g(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 109 = -a, -a + 8*y + 112 = 3*y. What is the first derivative of 125*d - 125*d - a - d**4 + 36 wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 1*(2 + (sqrt(98)*2)**2*1) + -1.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 4*g + 6*g)*(-1 + 3 - 3*g + 11).\nAnswer: 3*g**2 - 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488 + 3*h**3 + 484 + h**4 + 2*h**2 - 6*h - 973 to the form w*h + b*h**2 + q*h**4 + c + t*h**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(176) + sqrt(176)*-1*-3 - sqrt(176))**2 - (sqrt(176) + -4*sqrt(176) + 0)).\nAnswer: 12*sqrt(11) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1432226 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 20. Let b be a(6). Is -56 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13774523*y**2. Let h(i) = i**2 - 4. Determine h(g(m)).\nAnswer: 189737483877529*m**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1049 (c) 21 (d) -0.5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y - 3. Let r(n) = 1. Let d(i) = c(i) + 5*r(i). Let q(t) = 8*t + 2. Determine -6*d(f) + 7*q(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63919954853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2*m**2 - 12)*(4*m**2 - 3*m**2 + 0*m**2).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w - 16 = 0. Let x(m) = -m**3 - 9*m**2 - 11*m + 11. Let j be x(w). Suppose 2*b - 11 + 1 = 0. Calculate the greatest common factor of j and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 936 + -416. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4647278 to the nearest integer?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybbbyyybb. Give prob of sequence bbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*z**2 - 14 - 5 + 19 to t + f*z + n*z**2 and give n.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 4, f: 2, a: 3, i: 1}. What is prob of sequence lx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 + 57*n\/2 + 273.\nAnswer: -3*(n - 26)*(n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291011.\nAnswer: 7, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2\/7*z**3 + 2\/7*z**5 + 0 + 10\/7*z**4 - 10\/7*z**2 + 0*z = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 194371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 9. Let v = m + -11. What are the prime factors of (-6)\/v*21\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-5 + 74)) + 670 + -671\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 16 + 11 + 18*m**2 to the form o*m + a*m**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157687 + 0.04301603.\nAnswer: -157686.95698397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104322?\nAnswer: 2, 3, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**3 + 3*i**2 - 21*i + 106. What is the units digit of q(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18238512*o**2*q**5 - 22823*o**2*q**2 - 53*q**2 wrt q.\nAnswer: 1094310720*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 + 1 - 26*b**2 - 30*b**2 - 24*b**2.\nAnswer: -65*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -500a615 + -3?\nAnswer: -500a618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-770)\/(-80) - 9)*(-840)\/42 - (0 - 4)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 56620080?\nAnswer: 56620080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -103683 at most as big as -103680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*s\/(s\/(s\/(s\/(s*s**(-3\/2)\/s*s))))*s))**(-9)*(s*s\/s**(-2)*s)**(-33))**33 assuming s is positive.\nAnswer: s**(-11781\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2 - 2)*((-2 + 0 + 3)*(0 - 1 + 3) + 2 + 2 - 5)*(4*u + u + 0*u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k - 410. Determine c(81).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1708*q + 4*u = -1703*q + 27, -5*u + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4) - (-114)\/(-24). Let m(o) = 3*o**2 - 4*o + 4. Let j be m(l). What is the greatest common factor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 415 = 3*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -1 + -19 - (14 - -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 22*p**2 + 4*p + 24. Let c be a(22). Let h be 5\/(25\/(-20)) - 17. Let w = 35 + h. What is the highest common factor of c and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77 + -1ccdd3?\nAnswer: -1cce5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(170) + (sqrt(170) - (sqrt(170) - (sqrt(170)*2 + sqrt(170))))))\/((-2*sqrt(10) + sqrt(10))*6) - (1 + 6*(-1 + sqrt(153)) + 5).\nAnswer: -58*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -189. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/34)\/((-3)\/(-2))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/180 + 2*w**5\/15 + 3*w**4\/4 + 14*w**3\/9 + 152*w**2. Factor a(y).\nAnswer: -2*(y - 14)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 87 (b) 1\/3 (c) -1\/5 (d) -0.293\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 51 + (-63 - -60).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r. Let y(u) = 9*u. What is y(g(x))?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -2183*i**3\/6 - 678*i**2 + 2656*i. Find the first derivative of r(a) wrt a.\nAnswer: -2183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + a = 3*a. Suppose a = 23*x - 26*x + 33. Suppose 7 = -o + 2*o. What is the lowest common multiple of x and o?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104297*m - 2*y = 104293*m + 16, 4*m = -4*y + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + 4*(-4*(sqrt(147) + 4) + 3)) + 1.\nAnswer: 325 + 672*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92014*d**2 + 1 - 92004*d**2 - 1.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7301896 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 5*c + 5. Suppose -6 = -39*w + 37*w. Let s be n(w). Suppose 5 = -j - 5*h, -j + 8 = -h - s. Calculate the highest common factor of 100 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 15\/2)*-2. Let m be (-32)\/(-14) + (-2)\/c. Solve 10*q**2 + 6*q - q + 2 - m + 5*q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 114*m**2\/7 - 90*m - 918\/7.\nAnswer: -2*(m + 3)**2*(m + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooooooooooooooooo. Give prob of sequence oe.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.4 - -42.9?\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 455.97 - 454. Let l = -489.24 + 489. Let m = q + l. What is m rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 14. What is the remainder when 5 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/360 + v**5\/20 - v**4\/6 - v**3\/3 - v**2. Let d(p) be the first derivative of c(p). What is d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24388 (base 12) in base 2?\nAnswer: 1011111100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 + 3396\/13. Suppose -3*x = -4*k - 3, -5*k + 0 = -3*x + 3. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (-2 + -1) - 4. Suppose -2*h - 3*i = 8 + v, 4*i - 11 = 3*h. What is the closest to 0.1 in h, 1.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 5*o. Let t be a(4). Let r = 7 + t. Suppose 407 - 26 = r*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j. Let k(u) = u - 8. Let z be k(8). Let m be b(z). Suppose -4*a = -m*a - 152. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - ((12546\/(-45))\/(-17) - 18)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2496902369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 119*l**3 + 0 + 7.\nAnswer: 119*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3408634252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042057927 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*p = 93*p + 153. Put 5, -9, 12, p, -1 in decreasing order.\nAnswer: 12, 5, p, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/22 + -19 + (-9515427)\/(-187).\nAnswer: 2, 29, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*h + 3*h = 371 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5 + 13 + 20*r**3 + r - 17.\nAnswer: 20*r**3 + r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or -3.335?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (3 - 0) + 0. Suppose u*w - 18 = 2*n, 4*n + 2 + 34 = 2*w. Let m(l) = -l**2 - 12*l - 3. What is the remainder when m(n) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - m = -5*g - 4, -g + 3*m - 10 = 0. Let n be (-5)\/4*(-102)\/170. Which is the closest to -0.1? (a) n (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5503 (base 8) in base 9?\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 12:40 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 328\/44 - (0 + 6)) + (-144)\/72.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-192)\/(-96)*(1 - 3). Which is the third smallest value? (a) -0.2 (b) 2\/3 (c) o (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 382.4 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (10\/2 + -9211). What are the prime factors of b\/6 + (-44)\/66?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 3, i: 4, y: 2, r: 4}. Give prob of sequence yg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 292 and 29467324?\nAnswer: 2151114652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in -3\/46, 4, 0.5, -0.3?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 4*i. Solve 8 = -4*c - i*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**3 + 5*u**2 - u + 4. Let i(c) = 11*c**3 - 8*c**2 + 2*c - 6. Let m(a) = -8*d(a) - 5*i(a). Let v(h) = -5*h**3 + 9*h + 9. Give 9*m(x) + 2*v(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1649 - -1659. Let p = 27 - 27. Solve 0 = -2*g - p*g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10341?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/18 - 10\/(-45). Let s(i) = -i**4 - 3*i**q - 4*i**2 - i + 3*i**2 + i - i. Let g(c) = -c**2. Let r(j) = 6*g(j) + 3*s(j). Suppose r(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60105716597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1\/1 + -1. Suppose -2*d - a + w*a = 807, 2*d = -a - 809. Let n = d + 1201\/3. Find the common denominator of -25\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**5 + r**5 + 3*r**5)*(-2 + 0 - 2).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a90 (base 12) in base 15?\nAnswer: 10c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (321\/1070)\/(6\/2)*8\/12\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1656 and 12006.\nAnswer: 48024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j - 5. What is the units digit of x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, x: 5, u: 1, t: 6}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 + 265 + -377 + -1 + 0 + 1 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81652*s**2 + 148338 wrt s?\nAnswer: 163304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -83 + 84 + 2 + -1 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p**3 + 0*p + 2\/105*p**7 + 1\/168*p**8 - 1\/15*p**5 + 0*p**4 + 11*p**2 + 0 - 1\/60*p**6. Factor i(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 4*a**2 - 6*a - 3. Let o be c(-6). Let u be (o - 11)*1*-1. Let g = -12296 - -12326. Calculate the greatest common factor of u and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-4))\/((-122)\/(-24)). Let b = k - 707\/3965. Let i be 9\/27 - 12\/9. Is i at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 375 + -366. List the prime factors of (-10934)\/(-10) + y\/15.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366.40363 + -0.2.\nAnswer: 366.20363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*x = 12, -v + 5*x + 2 = -28. Let q(g) be the second derivative of v*g**2 + 0 + 11\/6*g**4 - 3*g + 2*g**3 + 2\/5*g**5. Find d, given that q(d) = 0.\nAnswer: -2, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 3*m + 0*m + (-m - 2*m + 2*m)*(-4 + 0 + 5) + 2*m - 3*m - m - 2*m + 3*m - 3*m + 3*m - 4*m + 3*m - 8*m - 145 + 145.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.08 rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29023 is divided by 1934.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 (base 9) in base 15?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + y + 0*y + (-1 - 1 + 4)*(4*y - 6*y + 3*y + (1 - 1 + 2*y)*(-2 + 4 - 4)) + 2*y - 5*y + 2*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -330 + 344. Solve -3*d + 22*a - 23*a = 14, 0 = -2*d + 4*a + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 + (-4)\/5*-5. Solve 5*b + 2*z - 3 = 0, -5*b + 4*z - r*z = -6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 2*k**2 - 4*k + 4. What is the remainder when w(3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115092 and 44344?\nAnswer: 55474344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 98 - 422 = 0. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.1 (c) -2\/7 (d) -35 (e) 3974\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*z**3 + 27\/2 + 27\/2*z + 9\/2*z**2.\nAnswer: (z + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6560 - -6565. Let z = -60 + 59. Let i = -20.4 + -3.6. Which is the closest to z? (a) 0.4 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j - j = 0. Let a be (-6 + 0)*(-1 + 0). Suppose a + j = k. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551.6035 millilitres to litres.\nAnswer: 0.5516035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181210416 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*c**4 + 120*c**3 + 27*c**2 - 120*c + 48 = 0. Calculate c.\nAnswer: -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 (base 14) in base 2?\nAnswer: 11011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 176 + 3 - 104 - 139 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048809687 rounded to three decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (147 - (-161 + 324)) + 121 + 0 + 2\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23785 = -983*w + 6273 - 12686 + 25880 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5947086 by -6.\nAnswer: -991181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5564 - -5563. Which is the fifth smallest value? (a) 1\/3 (b) 51 (c) r (d) -5 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33333 - 13123212?\nAnswer: -13023213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - e?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.695117 millimeters to kilometers.\nAnswer: 0.000003695117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 + 2*a**2 - 3*a + 2. Let k be d(1). Suppose -v = k*v - 66. What is the derivative of 8*i - v + 7*i - 6*i wrt i?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 18*-1) + 0. Suppose 5*p = -3*i + 21, -3*i = -4*p + 6 - 0. Solve 2*o - 5*u = -t, i = -o + 3*u - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 41*n - 2144. Let t(p) = -20*p + 1069. Let o(z) = 2*m(z) + 5*t(z). Differentiate o(j) with respect to j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -28*r**2 + 9*r. Let x(b) = -b**2 - b. Let u(c) = -2*l(c) - 18*x(c). Let a(j) = j. Determine u(a(g)).\nAnswer: 74*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 7 + 3*t**2 - 2*t**3 - 12*t**2 - 4*t - 7*t. Let j(c) = -c**3 - 4*c**2 - 4*c - 3. Let z be ((-79)\/79)\/((-1)\/(-3)). What is z*b(g) + 7*j(g)?\nAnswer: -g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 7:13 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 5*b + 1 + b**2 + b**4 + 1 - 2*b**3 to s*b**3 + a*b + m + d*b**2 + z*b**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -14. Suppose -5*k + u + 99 - 22 = 0, -3*u + 9 = y. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-7) + 189\/49. Let j = -42.6 + 43. Which is the third smallest value? (a) k (b) -4 (c) j (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -12, 40, 2, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 434\/200 - (-1 + 3). Let x = v - -2\/25. Let x*n**2 + 1\/4*n + 0 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75*26.99\nAnswer: 2024.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/y)\/y**(-18)*(y*y*y\/y**(4\/9))**(-1\/65) assuming y is positive.\nAnswer: y**(14017\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/18*3 - 0. Suppose 8 = -3*i - 4*n, 0*i = -2*i - 5*n - l. Solve i*k = -5*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o = -4*u - 112, 0 = -4*o - 5*u - 116. Let y be 16\/(-90) + (o\/20)\/(-3). Solve 8\/9*i + 16\/9*i**2 + 0 + y*i**4 + 10\/9*i**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -1 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.132231.\nAnswer: -0.0396693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211\/2 - -103. Let f = -1.1 - -1.6. What is the closest to -2\/9 in m, f, 3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 7.3. Let q = c - 2.3. Put q, 2\/7, -4 in ascending order.\nAnswer: -4, q, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/14*(-174)\/29*(-14)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 21 = -7*m. Suppose -m*t + t = -16. Suppose -11 = 5*u - 4*f - 0*f, t*f = -u + 17. Which is bigger: u or 2\/39?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 - 408. Let d = -18 - m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + z**2 + z + 69. Calculate the remainder when s(0) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = h. Solve -h = c + c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 860600.\nAnswer: 4, 5, 860600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(46\/(-4) - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 2 + 2 - 16*y**3 - 19*y**4 + 16*y**3 + (-4*y**2 - y**4 + 4*y**2)*(5 - 1 - 3).\nAnswer: -21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.23 and 0.052?\nAnswer: -0.68796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1435460 divided by 71773\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 12\/(1\/1). Suppose -22*c = -4*r - 24*c + 714, 0 = -4*r - 3*c + 715. What is the remainder when r is divided by 15*3\/u*-12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 - n**3\/3 - 18*n**2. What is the units digit of p(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.8 + 776065\nAnswer: 776048.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56400?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 23. Find h, given that -87*h**2 + 71*h**2 - 5*h**s + 4*h**4 + 8*h + 12 - 3*h**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9616644.16 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 4201054?\nAnswer: -4201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359135484?\nAnswer: 2, 3, 43, 695999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/(-7) - -3) + 3. Suppose -9*q = -j*q + 2*r + 19, 4*q = 2*r + 46. What is the highest common divisor of 72 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p. Let x(m) = -m**2 + 12. Calculate x(u(s)).\nAnswer: -361*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 9*j**2 + 14*j - 5. Let a be o(-7). Let f(d) = -7*d + 7. Let r be f(a). Let k = -36 + r. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 27\/(-6))*9. Let a(r) be the first derivative of -20 + d*r**4 + 0*r**2 + 0*r**3 + r. What is the derivative of a(w) wrt w?\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0. Let a = -32 + 32.0014. Let k = a + 0.0986. What is the fourth smallest value in -2, 5, f, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 34. Let m(n) = -n**3 + 26*n**2 - 10*n - 311. Calculate the remainder when m(25) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/112905 or -3.6?\nAnswer: -14\/112905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2419844849.\nAnswer: 211, 2243, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259\/4 - -65. Which is the smallest value? (a) k (b) -0.2 (c) 2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*-3*(-8)\/(-66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 9098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1612126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -3*y**4\/2 + y**3 - 11*y**2\/2 + 7*y - 26. Is h(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*h = -3*z - 57, -h - 82 = 5*z. Let c = z - -30. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(187)*3 - sqrt(187))\/sqrt(11).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2225 - -30744?\nAnswer: 33171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 + a - 9. Let p be s(0). Let x(d) be the third derivative of -d**5\/60 - d**4\/2 + 4*d**3\/3 - 9*d**2. What is the tens digit of x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4490 + 4489. Is c bigger than 1\/915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i + 109*i + 37*i - 36*i = -5174 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 194301144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-4)*-26*(-24)\/156. Solve -188*z + p = -175*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 626730 and 25.\nAnswer: 3133650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29975 - -29530. Which is the second biggest value? (a) 4 (b) p (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23976259232970 from -0.2.\nAnswer: -23976259232970.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 35 = -5*k, -2*k = -15*d + 11*d for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3526, 3296, 2812, 1948, 578, -1424, -4184, -7828?\n\"Answer: -21*g**3 - g**2 - 80*g + 3628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from ddbdoodcdvwov.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 + 2*o**3\/3 + 5. Factor x(d).\nAnswer: d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 216*d**2 + 2*d - 10. Let q be r(3). Suppose 3*k = k - q. What is the common denominator of 7\/4 and k\/(-20) + (-3)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-537*p + 973 - 973)*(3*p - 2*p - p**2 - p**2).\nAnswer: 1074*p**3 - 537*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4499\/5 + -900. What is the second smallest value in 139, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 1 + 1 - n - 4*n. Let t be s(2). Solve -3*z + t*z + 5*f = 0, 3*z + 5*f = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -999238 less than -999238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/459*20\/(-70)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Put n, 6, -4 in increasing order.\nAnswer: -4, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*c)*(-4*c + 3*c + 2*c) + 56 - 4*c**2 - 56 + (12 + 8*c - 12)*(2*c + 1246 - 1246).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10)*3\/9*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 23) + (-36 - -11) + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10971 smaller than 10972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62680.19l to millilitres.\nAnswer: 62680190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w**2 - 304 + 4*w**2 - 347 + 21*w**2 in the form a*w + i*w**2 + u and give u.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 15. Let k be -4 - (-2 - 0) - d. Suppose l + 2 = -2, -k*l = -5*i - 780. Round i to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2313*m - 2338*m + 4515*m)*((1 + 2*m - 1)*(-6 - 4 - 7 + (0 - 3 + 2)*(3 - 4 + 3)) + 0*m - m + 3*m) as t*m + q + c*m**2 and give c.\nAnswer: 4896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -301 + 552. Let q = 149 - a. Let f = q - -102.0061. What is f rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/5 - 3840642*d\/5 + 1536256 = 0. What is d?\nAnswer: 2, 3840640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from aamakxaaxaxaaammax.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let a(d) be the second derivative of d**5\/20 - d**2\/2 + d. Suppose -7*h + 8*h + 1 = 0. Give h*u(c) + 2*a(c).\nAnswer: 2*c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.5 + 0.5. Suppose 27 = 5*g - 4*d, -5*g = 2*d - 7 - 2. Put -2\/15, 0.5, g, p in ascending order.\nAnswer: p, -2\/15, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -132*x + 8314. Determine c(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1199.919 to 0 dps.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 7481914.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + -74 - (2 - 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3215 and 74335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005113 rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) - -1*(sqrt(1539) + (5*sqrt(1539))**2).\nAnswer: 18*sqrt(19) + 38475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 0, -w + 5*w - 56 = -4*b. List the prime factors of -8*(-1)\/(6\/w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0. Let a = 4 + -22. Let k = 13 + a. What is the second biggest value in b, k, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Let k(u) = -u + 2. Let b be k(t). What is the common denominator of 8 and (-79)\/3 - (-1 + b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 4)*(-4*t + t + 5*t)*(3 + 2 - 4 + (0 - 3 + 2)*(-2 - 1 + 1) + 1 + 1 + 4) to the form q*t + z and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138876 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8702 - -2707609318?\nAnswer: 2707618020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*s**3 + s - 17*s + 26*s - 2*s**2 + 3*s**4 wrt s?\nAnswer: 72*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 472 and 92453?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -607*b**4*h + 11*b**4 - 499*b**3*h + 4*b**2*h + 4228565*b**2 - 2*b*h wrt b?\nAnswer: -14568*b*h + 264*b - 2994*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*u + 322 = 0, 70*g - 73*g - 5*u + 971 = 0. What is the remainder when g is divided by 157?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine fifths of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -246 + 4?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-120)\/(-45)*27\/48)*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10689, 42838, 96453, 171534, 268081, 386094, 525573?\n\"Answer: 10733*c**2 - 50*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 166 * -901\nAnswer: -149566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.82 (b) 358 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 3 - (2 + 2)) + 118 + -113?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - f = 30. Solve -4*u + f*j + j = -4, 11 = -u - 3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.3 (b) -55 (c) 0 (d) 142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*d + 37*d - 196*d**3 + 4*d - 4 - 57*d**2 - 83*d**2.\nAnswer: -4*(d + 1)*(7*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22877 or -14240?\nAnswer: -22877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nynnnnnn. What is prob of picking 1 n and 1 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2523430 and 7462?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 - 7 - 1)*(0 - 3 + 0)*(v + 3*v - 2*v) - 35 + 35 + 7*v + (4*v - 4*v + 2*v)*(-2 + 1 + 0) as u*v + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 64. Suppose u*q - 343 = 105. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169.857 + 0.143. Let r = f - 165.73. What is r rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*w + 156 - 133 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39906 by -739.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 3*g**3 + 3*g**3 - 11*g - 10*g**4 + 11*g + 0*g**4 + 2*g**4 - 4*g**4 + g**4 + 0 + 0 + (2*g**3 - 4*g + 4*g)*(-g + 3*g + 0*g) + g**4 + 0*g + 0*g.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -12b?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -320735 + 1?\nAnswer: -320734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-12) - (-497)\/6) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9189\/11231)\/(72\/33)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 4)*(11 - 4)*7\/(-49).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 82048 = -25*q - 4*o, 5*q - 205156 = -2*o. List the prime factors of q.\nAnswer: 2, 5, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:46 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598687 - 5.\nAnswer: -598692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmwwwnwwnwnwwwn. Give prob of picking 1 w and 2 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 10*p - 25. Let b be u(4). Suppose -2*s + 5*v = 6*v - 17, -5*s + 4*v = -10. Let l be 10\/3*s\/5. Put 5, l, b in decreasing order.\nAnswer: 5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 311. Let n be k(-23). Let u = -1448\/5 + n. Find the common denominator of 85\/6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 34235*m**2 - 34*m + 10. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwgzwwkwkwgwk. Give prob of sequence zkwk.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327638 is divided by 13105?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 6:27 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/6*6\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*k + k - 8, 0 = 4*b - 3*k - 11. Factor -b*c**3 + c**3 + 3*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*k**5 + 109*k.\nAnswer: 1340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*3)\/(9 + -10). Let j be (0 - x\/(-9))*-1. Let w be 6\/2*2\/(-6). Is j > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 7*a**2 - 14*a - 12. Let p be r(-5). What is t in 8*t - 5*t**4 + 36*t**2 - 8*t**4 - p*t**3 - 10*t**4 - 32 + 19*t**4 = 0?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 476 and 28.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/7*1)\/(548\/(-7672)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14.424, -0.068766 in increasing order.\nAnswer: -0.068766, 1, 14.424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.225 in 0.5, 22, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-10)*((-9)\/6)\/(87\/6380). Solve -24 = 358*k - o*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i + 136*i = -324 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141073 - -3.\nAnswer: -141070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19670 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 59307*c + 10286850.\nAnswer: 3*(c + 175)*(c + 19594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 7. Let n be 17\/((-425)\/110)*o\/1. Let r(m) = 3*m + 65. Let w be r(n). Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 508 by 3303.\nAnswer: 508\/3303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.9902314 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*n - 16, 185*a + 5*n - 22 = 181*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 320, 487, 642, 779, 892, 975, 1022, 1027?\n\"Answer: -f**3 + 174*f + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 t when three letters picked without replacement from tttttntttnttt.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let v(c) = 3*c. Let s(u) = -6*p(u) + v(u). Let k(a) = 2*a**2. What is k(s(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 5*u - 55 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -274 divided by 370\nAnswer: -137\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**3 + 8*c**5 + 8*c**3 - 20 + 17*c - 15*c**3 - 3270*c**4 + 3289*c**4 + 7*c wrt c.\nAnswer: 160*c**3 + 228*c**2 + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -3 + 194\/2. Suppose 28 = -3*m + 8*m + 4*r, 4*r = -3*m + 20. Suppose m*o - 105 = u. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*u + 48 - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 divided by -6?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.175492 nanograms?\nAnswer: 0.000000000000007175492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1*(-353)\/(-4942)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5573, 5599, 5639, 5699, 5785?\nAnswer: 5903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Let v = x + 3.00005. Round v to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279121.5896 rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 5:20 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 6. Let a be v(-8). Suppose -2*d - d = -a. Solve -2 + d = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-645)\/1950 + 6*5\/130?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {y: 5, h: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -632 - -632.06. What is the closest to 6 in -1\/3, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 14 - 4 + 154159*m.\nAnswer: 154159*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2107\/1812 + -12\/151. Let i = 3\/4 - w. Which is the second smallest value? (a) i (b) 2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17962 and 101781673?\nAnswer: 8981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0167674648*0.4.\nAnswer: 0.00670698592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46\/3, 2\/31, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 824076 - 824093 + v**2.\nAnswer: v**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.6 + 239.4. Let u = 251.9 - p. Let w = 0 + -3. What is the closest to 1 in w, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4732.17 hours to milliseconds.\nAnswer: 17035812000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350 - 21. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 (base 6) in base 9?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -w + 297789. Suppose b - w = -2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 8*v**2 - 8*v + 13. Let s be c(7). Solve 0 = -4*f - s - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*z + 2577 = 1897, -z = -2*n + 331. What is the remainder when 1285 is divided by n?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60649692 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -198640 divided by -2\nAnswer: 99320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 at least as big as 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 3*h**3 + 2*h**3 + (-5*h + 5*h + h**2 + (h + 3*h - 2*h)*(0*h - 2*h + h))*(-379424 - 190*h + 379424).\nAnswer: 188*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.07 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2*(-5)\/(-20))\/((-27)\/(-54)))\/((-34)\/1190)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t + 16848168 = 0. Suppose 2987958 = -f - t. What is f rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 900 and 66525?\nAnswer: 798300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*t + 4, -g - 4*t = t - 18. List the prime factors of (g - 25\/(-2))*2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.033 + -106.967. Let v = f + 106.8. Let h = -14 - -10. What is the closest to v in h, 0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/14*(6 + -3 + -7). Which is the closest to -9? (a) f (b) -0.2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1058 - -1130. What is the greatest common divisor of t and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*b*o*z**3 + 891*b*o*z + 13*o*z**3 - z**3 - 1452*z**2 with respect to b.\nAnswer: 30*o*z**3 + 891*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 129631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68373472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*w - 32*w + 2440 - 876. What is the highest common divisor of w and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 6*z - 6. Is a(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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 2382893 to the power of 1\/2, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 905556 to the power of 1\/2, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89379 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = 164 + 136. Solve o*h - 2*h = 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*b + 3*b - 16816 = -8*t - 16804, 0 = 5*t + 5*b + 50 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 10.2. Let w = -7 - f. Which is the third smallest value? (a) w (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0141 plus -0.25883?\nAnswer: -0.24473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*n - 26*n**2 - 24*n)*(-19*n**2 + 85*n + 105*n + 21*n**2 - 74*n) to the form a*n**3 + l*n + k*n**4 + h*n**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40b (base 16) to base 15.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 142 = -3*q, 218*q + d + 248 = 223*q. What is the highest common divisor of 75 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 2. Suppose -5*w = -6 - 4. Let c(s) = 4*s - s - w*s. Let t(z) = 2*c(z) + o(z). Differentiate t(p) with respect to p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*16\/360 + 2\/(-80). Solve 0 + 1\/8*z**2 - k*z = 0 for z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and -241644860.\nAnswer: -241644859.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3389606 - -0.034646.\nAnswer: -3389605.965354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**8)\/(z**(3\/11)*z)*(z*z**(2\/7)*z)**1 assuming z is positive.\nAnswer: z**(771\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (125\/20)\/5 - 3\/(-4). Suppose 2 - 1 = z. Let t be z*(1\/1 - -4). Solve 4*g = -t*k + 8, 2*k - n*g + 6 = g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12174, -4 in increasing order.\nAnswer: -12174, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 + r**2 + 30*r**2 + 7*r**2 - 50*r**2 + 0*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 4. Let h = -10 + 14. Let o be (-6)\/h + (-3)\/6. Determine w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*a**3 - 171*a**3 - 10*a**3 - 242*a**3.\nAnswer: -303*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let x be (-1 + 2)*(u + 1). Suppose x*v + 7 = 19. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (2 - 4)) + (-4 - 17) + 15\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 3:43 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 5*d + 5*d)*(7269 - 472*d - 7269)*(-1 - 2 + 4) + 3*d**2 - 6*d**2 + d**2 + (-1 + 1 + 2*d)*(3*d - 4*d - d).\nAnswer: -3310*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 990 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*z + 125*z - 176 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.57 or -609?\nAnswer: -609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249603.\nAnswer: 1249603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 19. Solve -k = -5*v - o, -4*v = -2*o + 6 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103.15 + -1.15. Let g = j + -83.9. Let q = g - 16. Round q to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14531 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.103, -2\/119, -0.3, -2, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(405) - sqrt(405)*-3))\/(1*-3*sqrt(9)*3).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6267408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from xxxddxxdxxxxxxxxxx?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -527*j**5 + 5*j**4 + 737*j**3 - 9216591*j**2 - j?\nAnswer: -31620*j**2 + 120*j + 4422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/9 and 64\/6543.\nAnswer: 6543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 190 in -1\/3, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-2 + 2 + 3*p**2) - 3*p**2 + 3*p**2 - 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 3*g. Let q be k(-2). Suppose 155 = q*i - 4*d - 183, 2*i = -3*d + 310. List the prime factors of i.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 5*m**2 + m**2 + (2*m - m + 3*m)*(2 - 2 - 2*m) in the form t*m**2 + n + p*m and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, x: 3, v: 8}. What is prob of picking 3 v and 1 x?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -1.25\nAnswer: 0.0875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -482.954775 rounded to the nearest integer?\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 18*w**2 - 13*w - 120. Calculate the smallest common multiple of u(-18) and 39.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51679177, -51679161, -51679135, -51679099?\n\"Answer: 5*i**2 + i - 51679183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102231 + 102234. Let r(j) = -j**2 + 0 - 2*j - j**2 + 0*j**2 - 2. Let q(s) = -4*s**2 - 4*s - 3. What is p*q(u) - 5*r(u)?\nAnswer: -2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -52, 1, -1, 1.77?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216510*l + 3*l**3 + 216510*l + 4*l**2 - 4*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 10*g**2 - 2. Give t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + a + 4 = 0, m - 9*a + 8 = -11*a. Suppose 4*x - 7*x - x = m. Which is bigger: -8\/35 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -10. Let i = -9\/2 - -4. What is the closest to 1 in i, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20671\/6 or -3444?\nAnswer: -20671\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -43.2.\nAnswer: -48.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20204 - -20460. Calculate the greatest common divisor of j and 2144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 7*k. Let t(y) = -1133*y + 624*y + 1 + 510*y. What is f(t(l))?\nAnswer: l**2 - 5*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = n + 2*n. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21168, -22813, -24458, -26103, -27748?\n\"Answer: -1645*q - 19523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 12188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a - 8*a + 22*a + 29*a - 13*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 1\/11041, -2\/3, 2, -0.4, -0.36?\nAnswer: 1\/11041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*x = 3*x + 15, 0 = -3*g + 2*x + 9. Differentiate -7814 - 2*r**4 - r**g + r**3 + 7744 + r**3 with respect to r.\nAnswer: -8*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 37*w**2 + 31*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**2 + 17*s**3 - 42*s**3 - 2*s**4 + 8*s**3 + 1 - 3*s + 25 + 16*s**3 to d + i*s**2 + l*s**4 + c*s + h*s**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 - 2*y - 5. Let j(h) = -2*h**3 - 4*h**2 - h - 5. Let f(q) = q + 8. Let i be f(-5). Let b(g) = i*m(g) - 2*j(g). Determine b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 66. Let g(x) = -2*x**3 - 15*x**2 + 11*x - 7. Let j be g(v). Let p = 15 - j. Calculate the remainder when 181 is divided by p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -196 - -300. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {u: 7, w: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -22517*f - 743050. Calculate n(-33).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3137*f - 9*r = -3133*f + 16, 0 = 2*f - 4*r - 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2432)\/95*(20\/(-8) - 0). Calculate the highest common divisor of 2048 and c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) -0.4 (b) 0.17 (c) -1 (d) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4138719 and 2496.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggk when three letters picked without replacement from {k: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1081117*v**3 + 40496*v**2 - 2*v - 2.\nAnswer: -6486702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 31 = -2*a - 7*y, 0 = -4*a - 4*y + 32. Factor -3\/8*o**2 + 3\/8*o**a + 0*o + 0.\nAnswer: 3*o**2*(o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 12 = -17*p. What is the derivative of 66*h**p - 41 - 44 - 25 + 34 wrt h?\nAnswer: 264*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 5*r + 1. Let o be c(4). Suppose 0 = 3*d - 2 - o. Solve 0 = 4*b - 0*j - 5*j + 37, -3*b - 34 = -d*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -7\/30*h**4 + 0*h**2 + 0 + 2\/15*h**3 - 4*h. Suppose g(l) = 0. What is l?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m + 3. Let w(l) = 2*l - l - m + 7 + 4. Determine w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**3 + 6*a**2 - 6. Let j(z) = -33*z**3 - 13*z**2 + 13. Determine 6*j(i) + 13*n(i).\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1118, -2235, -3338, -4421, -5478, -6503, -7490, -8433?\n\"Answer: j**3 + j**2 - 1127*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(165\/(-12))*(-3)\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -55.87. What is x rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 13. Let j be c(-7). What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 14. Let o = 8 - h. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 35634804*s\/5 - 317459814029604\/5.\nAnswer: -(s - 17817402)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r + 29487 - 238252 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 64*a + 219. Let p(t) = -128*t - 440. Let c(v) = 5*i(v) + 3*p(v). What is the first derivative of c(z) wrt z?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 23. Let w(k) = k**3 - 11*k**2 - 19*k + 81. Let q be w(12). Put j, q, 10 in ascending order.\nAnswer: q, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3379 divided by 109\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61067*j - 42528.\nAnswer: 61067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 13585\nAnswer: 4075.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/37 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/2 - 3\/14. Find the common denominator of g and -16\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/115*(1 - (-19)\/(-34)). Which is the fourth biggest value? (a) -2\/11 (b) 0 (c) -0.2 (d) -1 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13880 and 2012.\nAnswer: 6981640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199 + -139. Suppose -4*r = -2*r - k. Let j(t) = -t**2 + 13*t - 16. Calculate the least common multiple of r and j(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12155444 - 124?\nAnswer: 12155320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*v - 2*v - 2*v)*(-3 + 1 + 6)*(3 + 0 - 2).\nAnswer: -4*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3825918\nAnswer: 5\/3825918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 103505*w = 0. Calculate w.\nAnswer: -20701, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:52 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**42*c**1\/(c**3*c))\/((((c**(1\/4)*c)\/c)\/c)**(-1\/10)*(c*c**(-1\/2))**4) assuming c is positive.\nAnswer: c**(-203\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 1610?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 + 15*g**2 + 21*g + 24. Let t(h) = -4*h**3 + 15*h**2 + 21*h + 25. Let l(y) = -5*d(y) + 4*t(y). Is l(-14) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -648311, -1296502, -1944693, -2592884?\nAnswer: -3241075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/15 - 35*x**4\/3 - 304*x**3 - 1133*x**2. Determine v, given that c(v) = 0.\nAnswer: -6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 55 = 4*y + 5*w, 32 = y + w. Suppose y = o + 1. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/3)\/(-4))\/(182\/(-39)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-12)\/(-14))\/((-3)\/(-168)) and 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2936146871851 and 1.\nAnswer: -2936146871850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356831.\nAnswer: 356831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15945 + 16143. What is the highest common factor of w and 5346?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1209\/4 - 300. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 498, 3, -1, 344, 5, -3 in decreasing order.\nAnswer: 498, 344, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34631, 34516, 34401?\nAnswer: 34286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 10 = 10*i + 35 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10591, -17069, -23547?\nAnswer: -30025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 7) in base 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-12))\/((-4)\/(-18)). Suppose 2*j - 3*j + 11 = -s*p, -5*j + 17 = 4*p. Suppose -o - 2*y = -9, j*o + 4*y = 25 + 20. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-11 - (1 - 9) - -31 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*l*q**3*t - 4073*l*q*t**2 - q**3*t**2 - 113*q**3*t - 2*q**3 + 11*q*t**2 wrt l?\nAnswer: -7*q**3*t - 4073*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1858, -14416, -48514, -114916, -224386?\nAnswer: -387688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let c be b\/4*(-2)\/3. Let r = 9.1 + -9. Which is bigger: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32.78 and 7.\nAnswer: -25.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 - 116\/3*x + 12*x**3 - 4*x**2 + 4\/3*x**4.\nAnswer: 4*(x - 2)*(x + 1)**2*(x + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Suppose -58*y + 486 = 370. Suppose f*u - y*u - 454 = -4*t, -5*u = t - 734. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1897, -1898, -1899, -1900, -1901?\n\"Answer: -o - 1896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (1 + 5) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.61188 decades in centuries?\nAnswer: 6.661188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 41198 - 41198 + 2*b. Let q(l) = -1. Let t(k) = 19*k + 3. Let a(o) = -2. Let i(w) = 6*a(w) + 2*t(w). Let y(u) = i(u) - 6*q(u). Give y(f(x)).\nAnswer: 76*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 0.3. Let s = 4.41 - 4. Let y = -0.01 + s. Which is the second biggest value? (a) 0.1 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**5 + 3591*x**4 + 159*x**3 - 190323*x**2 - 588*x + 703836 = 0?\nAnswer: -7, -2, 2, 7, 1197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*y + 74, -30*y + 33*y = 3*k + 63 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + 2*q)*(4 - 2 - 10) + (-2*q + 0*q + 0*q)*(-3 + 3 - 1).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27031.1028 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)*q)\/q)**(1\/14)\/(q\/q**(2\/5)*q**(1\/4))*(q\/((q\/((q*q**(1\/2)*q)\/q)*q*q)\/q)*q**(2\/7)*q)**(2\/75) assuming q is positive.\nAnswer: q**(-367\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 4*f)*(-3*f**3 + 6*f**3 - 4*f**3) + 12*f**4 - 18*f + 18*f.\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(16)\/sqrt(50) + -3)**2*5.\nAnswer: -12*sqrt(2) + 213\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324651 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117 - 561 - 610 = -54*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 416*r**4 - 375*r**2 - 2252112*r wrt r.\nAnswer: 4992*r**2 - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*o)*(-4*o + 3*o - o) + o**2 - 2 + 2 + 25*o**2 + 6*o**2 + o**2 to the form q*o + l*o**2 + i and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3. Let c(z) be the third derivative of -z**6\/120 - 2*z**2. Let b(y) = -y**3 + 10*y**2 + 11*y - 4. Let h be b(11). Calculate h*l(v) + 5*c(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -89.\nAnswer: -8\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 72*l**2 - 273*l - 142. Let k be v(68). Which is smaller: k or -177?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1961\/1160 - -29\/40. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 233.758 and -3.\nAnswer: -701.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**3\/3 - 3*f**2\/2 - 3*f - 237. Let x(d) = -d - 15. Let r be x(-10). What is a(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f - 9*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294349 is divided by 215721.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/17 (b) -0.05056 (c) -2\/15 (d) -4\/3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1462388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 156\/702 + 0 + (-1793)\/(-72). Let m = 503\/24 - r. Find the common denominator of m and -3 - (159\/(-25) + 3).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001168071 rounded to five dps?\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17 - (-222)\/(-12)) + (-14)\/(-4). Determine k so that -2\/9*k - 1\/9 + 1\/9*k**4 + 2\/9*k**3 + 0*k**x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h. Let r(k) = 15175*k. What is v(r(n))?\nAnswer: -75875*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + -3 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 + -131. Let x(r) = 4*r - 4. Let w be x(3). Suppose 18 = p*f + 2*h, h = -3*f + 2 + w. Solve -5*z + 4*n + 20 = -3*z, f*z - 3*n = 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 65, -2\/9, 1, -4406?\nAnswer: -4406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9509986 years?\nAnswer: 11.4119832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.11 + 24. Let k = h - 0.09. Let s = 30 + -148\/5. Which is the nearest to s? (a) k (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - 3*b**2 - 4*b + 2. Let s be l(3). Suppose 6*r - 175 = s. Calculate the greatest common divisor of r and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442968079?\nAnswer: 457, 1481, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2150, 2204, 2286, 2390, 2510, 2640, 2774?\nAnswer: 2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = -43 - 512 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 12:38 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 31. Let z = l + -8. Suppose 0 = z*s + 3*f + 2, 4*f + 12 = f. Solve y - 2*w = 1 - 9, w = s*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 44908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -1\/6*w**3 - 4*w - 5\/12*w**4 - 1 - 1\/2*w**2. Calculate f(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 1:25 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1689 is divided by 649.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*w = j - 44*w + 5, -165 = -39*j + 44*j - 43*w for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.062kg to nanograms.\nAnswer: 38062000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o - 19. Let p(b) = -8*b - 9. Let h(r) = -6*k(r) + 13*p(r). Give h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -21.1. Suppose 3*h - 9 = 3*j, -2*h + 4 = 3*j - 12. What is the smallest value in t, 1, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * -11.\nAnswer: 24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 - 8*q**4 - q**4 - 3 + q**4 + 3 + (-5*q**3 - q**3 + 2*q**3)*(4*q + 5*q - 4*q).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042624717 to 7 decimal places.\nAnswer: 0.0004262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437 - 635. Let i = v - -202. Put -2, 16, i in decreasing order.\nAnswer: 16, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -119*g**3 + 9*g**2 + 14*g + 56. Let f be d(-6). Round f to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -263\/3. Which is the closest to 35? (a) 1 (b) -2\/7 (c) -0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-4))\/((-30)\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 811.6885 nanoseconds?\nAnswer: 0.0008116885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3*x + 0)*(-5 - 1 + 3) - 47*x + 14*x - 27*x)*((-x + x - x)*(-2 + 5 - 1) + x + 0*x - 3*x - 2*x + 0 + 0) to the form v*x**2 + l*x + h and give v.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 3, b: 1, d: 2, a: 3}. Give prob of picking 1 q and 1 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -28 - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*b = 132*b + 180 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3819 and 4161?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*n**6 - 3*n**3 + 2264*n**2?\nAnswer: 12960*n**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3637*c - 50870. Determine m(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -26*m + 348. Let g(t) = -t**2 - 6*t + 1. Calculate the remainder when m is divided by g(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -182 (b) -2\/13 (c) 4 (d) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - d99?\nAnswer: -d98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 406011 or 406009?\nAnswer: 406011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2 + 0)*0. Suppose q = -3*b - 0*j - 2*j - 24, -b = 2*j + 12. Let h(l) = 75*l + 10. Let o be h(b). Round o to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*h + 14 - 350 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouffeuuhueuu. Give prob of picking 1 u and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 605, 598, 577, 536, 469, 370, 233, 52?\n\"Answer: -f**3 - f**2 + 3*f + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -38*p + 1. Let x be m(-2). Let r(n) = -n**2 - 7*n + 5. Let v be r(-6). Let g = v + x. What is the highest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*-0.08.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 94707.62g in nanograms?\nAnswer: 94707620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.0854 days in hours?\nAnswer: 8138.0496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/(-21) - 0)\/(4\/(-66)). Let o be 2\/(-11) - 7268\/j. Calculate the highest common divisor of 30 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 0*o**3 - o**3 - 5*o - 6*o**2 + 5 + 0*o**2. Let z be g(-5). Find the second derivative of -3*r**5 + 4*r**z + r + 0*r**5 wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 10*k + 294 = 0. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8284158 minus 8.254?\nAnswer: 8284149.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -9*p**3\/2 - 7*p**2\/2 - 8*p. Let t be q(-5). Suppose 5*j - t = j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8670019?\nAnswer: 1201, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 10*b**2 - 2*b - 9. What is the remainder when i(6) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364.12 - -448. Let z = -1.88 + l. Sort 2\/3, z, 2 in increasing order.\nAnswer: 2\/3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 - -783741?\nAnswer: 782583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 283\/4*(6 - (-20)\/4). Let c = b - 784. Find the common denominator of c and 75\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 2*v**2 - v + 1087. Is h(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l + 6599 = 86*l + 6657. Suppose -25 = 4*g + g. Sort g, l, -6, -4 in descending order.\nAnswer: l, -4, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.022 - 12.978. Let m(g) = -g**2 - 2*g - 2. Let b be m(-1). What is the closest to 1\/2 in b, i, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = u, -14448 = -4*i - 2*u - 14436. Let o = -16380 + 65185\/4. Let r = -83 - o. What is the second biggest value in i, -1\/3, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179\/4 + -45. What is the closest to o in -3\/11, -2, -4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -60001*k**3 + 3*k**2 - 3*k + 2. Let p be u(2). What is p rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 5*i**7\/42 - 7*i**3\/3 + 31*i. Find the second derivative of y(t) wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*j - 338*j = -g - 0 + 15, j + 51 = 9*g - 28 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 - 202 = 17*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 659628*z**5 - 124885*z**2 - z.\nAnswer: 39577680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051740853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 201801963\/14 - 14421768. Let m = -7350 - l. What is the common denominator of m and 77\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*m**3 - 9*m**2 + 9*m**2 + 17*m**3 - 1 + 22*m**3 + 204*m to v*m + j + f*m**3 + z*m**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 + -72. Let x = -304 - s. Let l = -25 - x. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - -30) + -22 + -1 + -6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((39 - (18 + 66)) + 5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/4 + 687*f + 8235\/4 = 0. What is f?\nAnswer: -2745, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 23*w**6\/60 + 163*w**5\/40 - 169*w**4\/6 - 5*w**3 + 10*w + 92. Let h(s) = 0. What is s?\nAnswer: -10, -2\/23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/5)*((r**(-2)\/r*r)\/r)\/r)**38*(r**(-2\/5)\/r)**(2\/7)\/(r**5*r**(-3\/8)) assuming r is positive.\nAnswer: r**(-1013\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + sqrt(19))*-6 + 5 + sqrt(228)\/(sqrt(12) - (sqrt(12) + sqrt(24)\/sqrt(2))) + -1))**2.\nAnswer: 28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.034 (b) -0.5 (c) 4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 17*a**2 + 2*a + 1. Let n be y(17). Suppose 1 + n = 2*r. Calculate the remainder when (-70)\/3*15\/(-10) is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*q + 131*q - 17 = w, 18 = -2*q - 3*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 l when three letters picked without replacement from {g: 9, l: 4, z: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 1\/3*b**3 - 3*b**2 - 1\/60*b**5 + 0 + 0*b - 5\/24*b**4. What is c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14009 and 14010 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(-110)\/(-660)*1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/6 and -113\/3165486?\nAnswer: 3165486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 702683 + -2810671\/4. Let o = -3515\/12216 + -2\/509. Calculate the common denominator of o and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -76373 and -418791.04.\nAnswer: -495164.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2686156 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 w when three letters picked without replacement from ymmwmbbmbbbmmmwwwwb.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1206*x + 655. Is w(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:20 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 28 = 4*f, f - 13 = -2*q - q. Solve 0 = -f*l + 170 - 162 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -401 - -796. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let y(i) = 4 - 9 - 27*i + 5. Give o(y(v)).\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*l + 25 = -0*l, 5*l = -r + 3 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7 and -17\/1024.\nAnswer: 7168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-27))\/t**(4\/11) assuming t is positive.\nAnswer: t**(304\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1962 + -1914 + (2 - 82))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*x**2 + 124*x**2 + 4 - 45*x**3 - 4.\nAnswer: -45*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 18*k - 85. Let q(c) = 4*c**2 - 8*c + 10. Let x be q(3). Let u be m(x). Solve -7 = 3*f + 2*f - 2*o, 0 = -f + 2*o - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d - 2*d**2)*(1 + 0 - 3 + (2 - 3 + 0)*(3 - 5 + 4)) + 2*d**2 + 5*d**2 - 5*d**2 + (-3*d + 6*d - 2*d)*(-20*d - 11*d + 10*d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52*2\/(-8)*(-108)\/(-54)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -7*v**4 + v**3\/3 + 3*v**2\/2 + 2*v - 44. Calculate the lowest common multiple of o(-1) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36738, 36756, 36774, 36792, 36810, 36828?\n\"Answer: 18*d + 36720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 12*q - 6063.\nAnswer: 3*(q - 43)*(q + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 35 = y, 5*y + 14 = 3*f + 3*y. What is the second derivative of -f*j**2 + 57*j - 64*j - 4 + 4 wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*l**4*n - 7*l**4 - 75*l*n - 2*n wrt l.\nAnswer: -144*l**2*n - 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-50))\/18 - (-184)\/(-720)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3 + 1220*i**2 - 88608*i - 681408 = 0.\nAnswer: -7, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgetgghhghhgtgegexh. Give prob of picking 1 x and 3 g.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and (-4)\/(-12) - (-185)\/3?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -12?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14370704123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 - 6*x - 7. Let l be y(-1). Suppose l*f + 29 = 461. Which is bigger: f or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1358643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20103144.981639 - 20.018361. Let t = -20103308.00187 - s. Let v = -143 - t. What is v rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k**3 - 10 - 19\/2*k**2 + 5\/4*k**4 + 0*k. Find the second derivative of h(r) wrt r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292278 = 4*p + y, 5*y + 107134 = p + 34054. What is p rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -2*s**2 + 0*s**3 - 70*s - s**3 + 0*s**3 + 3*s**2. Determine g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/137505 and 53\/45.\nAnswer: 412515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2 - 5*o + 3*o + o - o**2 - 2*o. Let h be t(-3). Solve -h - 2 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 59 - 442576*y**2.\nAnswer: -442576*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -84. What is the smallest common multiple of 9 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69604*h*y**3 + h*y - 17379*h wrt y.\nAnswer: -417624*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030165 rounded to six decimal places?\nAnswer: -0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.71 - 4.71. Which is the smallest value? (a) 3 (b) i (c) -0.4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5307.763 years to decades.\nAnswer: 530.7763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*n - 13, -42*n + 84*n - 19 = -8*z + 37*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -590, -1159, -1680, -2129, -2482, -2715?\n\"Answer: 4*t**3 - 597*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.5 + 32.812. Let b = r + 1.488. What is the second smallest value in b, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-93911)\/((3 - -1)\/(-2)) + (-10)\/20. What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 14*o**2 - 3*o + 17. Is i(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128115 is divided by 32008?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y**4 + 39*y**3 - 155*y**2 + 89*y - 14.\nAnswer: (y - 2)*(y + 7)*(3*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 21. Let f be 4 + (-36)\/g - -3. What is the second biggest value in -3\/2, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 339, 317, 293, 267, 239?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -365293? (a) 3 (b) -3 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1968 - -1969. What is the fifth biggest value in -4, 5, 9.5, -0.3, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.6 + -13.6. Let j = -1.3 + -14.7. Let r = -21 - j. Which is the fourth biggest value? (a) 3 (b) r (c) -1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/57 and -11\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 5, d: 11}. What is prob of sequence jj?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -426, -444, -462, -480, -498?\n\"Answer: -18*p - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.09, -2, 0.4, -0.3, 92 in decreasing order.\nAnswer: 92, 0.4, 0.09, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + -4*(sqrt(2448) - -2*sqrt(2448))*-6) + 2.\nAnswer: -864*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 8. Let a(x) = 2*x + 16. Let c be 4\/(14\/5 + -2). Let u(n) = c*q(n) + 3*a(n). Let o be u(-8). Solve o = -h + 4 - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115349 and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dldydddxdyyyxyydldy. Give prob of sequence dl.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -19*c - 410. What is z(59)?\nAnswer: -1531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 0 - (-4 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.16 and -10332.\nAnswer: -10327.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65669534 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**3 + 52*x**2 + 82*x?\nAnswer: -18*x + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1471, 1470, 1469?\n\"Answer: -q + 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/(-2112))\/(1\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*i**3*q**2*v**3 - 2*i**2*q**2*v**3 + 2*i**2*v**2 + 3*i*q**2*v + 8*q**2*v**2 wrt i?\nAnswer: 1128*q**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27350227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7*x + 108 = 0. What is the tens digit of (x\/(-8))\/(12\/464*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239 - 1954 = 2411*t - 2308*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*n = 60, 51 = 4*s + 34167*n - 34164*n for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*(-7)\/(7\/12). Solve v*r - 1 = 3*y, 4*y + 0 = 3*r - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11581\/9 + -1287. Which is the closest to -1? (a) 2\/5 (b) y (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76835 (base 9) in base 6?\nAnswer: 1032005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 3 (c) -3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 69286.83 + 808691\nAnswer: 877977.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*d + 50*d + 224*d**2 + 49*d + (2*d - d - 6*d)*(3 - 3 + 5*d) to j*d + r*d**2 + u and give r.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77883.\nAnswer: 3, 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18300 by -3660.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114070334 to the power of 1\/2, to the nearest integer?\nAnswer: 10680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5262 to 1 dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 11*i - 18*i - 4*i + 8*i**4 - 18 + 11*i as p*i + j + d*i**4 + l*i**3 + b*i**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 6*u + 10. Give v(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 2. Let g(y) = 5943*y**2 + 8. Calculate -4*d(c) + g(c).\nAnswer: 5955*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -5.1. What is the nearest to -2\/7 in -3, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21597 + -1812. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -6) + -4 + (0 - 1 - 0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-102 - 0 - -1) + (91 - 154 - -75)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-96)\/(-6)))\/((-7)\/(-210))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose -f*k + 55 = 4. Suppose 0 = 2*l - 5*q - 240 - 17, -2*q = -l + 130. Calculate the greatest common divisor of k and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 - c**2 - 8243*c + 8963*c + 716 = 0. Calculate c.\nAnswer: -179, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 + 9*a + 8*a + a + 5*a + 28*a**2.\nAnswer: 16*a**2 + 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 72*g + 16 - 16 - 65*g. Let z(d) = 3*d**2. What is f(z(t))?\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t**(-3)\/t)\/t)\/t)**13*(t\/(((t*(t\/(t**(-2\/19)*t))\/t)\/t)\/t))**30 assuming t is positive.\nAnswer: t**(909\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -51. Let d(r) = -317994*r + 30. Let o be d(f). Round o to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 - 107. Let f = t + 108. Suppose -15*b + 14*b = -f. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 65. Suppose -2*q - m = -126. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*i - 2*i = 4, 5*r = -i + 4. Suppose r*m - t = -m + 8, 3*t = 4*m - 29. Let u = -3 + m. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/876, -2\/11 in decreasing order.\nAnswer: -1\/876, -2\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**2 - 6 - 99*o + 14116*o**3 - 35*o + 125*o wrt o.\nAnswer: 84696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -231, -431, -697, -1023, -1403?\nAnswer: -1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1990\/(-5373)*(45\/(-50))\/9.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62118559, 124237119, 186355679, 248474239, 310592799, 372711359?\nAnswer: 434829919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmbg when four letters picked without replacement from bbfnbvmvvggmvmn?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 3:29 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*q**3*s**3 + 8*q**3*s**2 + q**3 + 2*q*s**4 - 2*q*s**2 wrt s?\nAnswer: -366*q**3 + 48*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**3 + 40*o**3 - 24*o**3 + 15 + (0*o**2 - o**2 - 2*o**2)*(0*o - 3*o + 2*o).\nAnswer: 5*o**3 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15*((-3)\/(-3) + -2). Suppose 0 = 3*r + 3*u - x, 2*r + u - 5*u + 14 = 0. Suppose 3*l - 14 = -d - 1, -r = -5*d + l. Which is smaller: 2\/13 or d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1225*z**3 + 740*z**3 + 7*z**2 + 4*z + 75*z**3 - 523*z**3 + 16. Let n be j(-7). What is n rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56286238?\nAnswer: 2, 509, 55291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 22*k + 20 = 0. Let s = k + 293. Is s a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -302 - -1819\/6. Find i, given that 1\/6*i**2 - 4\/3*i + 1\/6*i**5 + 2\/3 + l*i**3 - 5\/6*i**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -165591 + 28812919\/174. Calculate the common denominator of 19\/16 and w.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 84*c - 81*c - 11, -c + 2*o = 0. Solve 0 = 4*k - c*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 5*y - 4. Let g(m) = m + 21. Let w be g(-11). Let v(a) = a - 4. Calculate the lowest common multiple of v(w) and n(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - 0.35. Let l = 243 + -255. Let o be 14\/21*(-6)\/l. What is the second biggest value in -2\/9, y, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9196.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -39.78708?\nAnswer: -39.48708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -28 + 2 - (1 + (26 - 37)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.226 + 0.2963. Let x = o + -0.07764. What is x rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 + -104487.6.\nAnswer: -104470.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 454482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27620607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7608 + 7607. Which is the nearest to -2? (a) u (b) 38 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4220?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 5. Let a be z(7). What is the third derivative of -2*t**3 - 8*t**4 + 5*t**4 + a*t**3 + 2*t**2 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a factor of 2715211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**3\/3 + 9*y**2\/2 - 5*y + 724. Suppose 2 = -5*b - 4*d, 5*b + d = -4*d - 5. Let a be b\/(-7) + (-160)\/28. Calculate w(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1622, 2910, 4198, 5486, 6774, 8062?\n\"Answer: 1288*i + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380085.\nAnswer: 3, 5, 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, v: 1, q: 11, w: 1}. Give prob of picking 1 w, 1 q, and 1 v.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -4 - -3 - (-13 - -17). Sort q, -2, -335, -5 in increasing order.\nAnswer: -335, -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*(6\/(-6) - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 2, o: 1, f: 1, r: 4}. Give prob of picking 1 o, 1 k, 1 r, and 1 f.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(-2)*j)\/j)\/j)\/j*j**(-25))\/((j\/(j*j**(-12)))\/(j\/j**21)))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -14. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**8\/1120 - k**6\/720 + k**4\/2 - 9*k. Let l(u) be the third derivative of q(u). Find the second derivative of l(t) wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6734 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, i: 4, z: 1, c: 5}. What is prob of picking 2 z and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o*o**(-20)*o)\/o)\/o)\/(o**(-43)*o))\/(o*o**(4\/9)*(o\/(o**(4\/15)\/o)*o)\/o) assuming o is positive.\nAnswer: o**(937\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 23. Suppose d*z = 2*z + 16. Solve z*n = -1 + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1088 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -855. Suppose 0 = -8*s + b + 1169. List the prime factors of s.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 12*k**2 - 1451*k + 8726. Determine c(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b - 8. Let i(y) = -y + 1. Let s(k) = 8*i(k) + m(k). Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 8:43 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**4\/4 - 7*v**3\/3 - 7*v**2\/2 - 16. Let h(p) = -p**3 - 6*p**2 - 6*p. What is -7*h(f) + 6*x(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58014844 a multiple of 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - b = -71, -24 = 3*b - 15. Solve 3*o = -59 + u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 28*k**2 + 59*k + 19. Let f be n(-16). Calculate the greatest common factor of f and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4381*o**2 + 1977*o**2 + 19 + 2406*o**2.\nAnswer: 2*o**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(165)\/(sqrt(15)\/sqrt(5)))\/sqrt(5))**2*-2*6 + -4.\nAnswer: -3316 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 1. Let u(n) = 5*n**2 + 2*n + 2. Let q = 43 + -42. Give q*u(o) + 2*j(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -571, -1148, -1725, -2302, -2879, -3456?\n\"Answer: -577*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/71439 and 163\/30.\nAnswer: 714390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083617?\nAnswer: 3, 77171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*13.754\nAnswer: -2.7508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -73203.5 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2759*c = -2914*c - 6665 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**6)\/f)\/f*f*f*f**(-2\/21))**3 assuming f is positive.\nAnswer: f**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 5*i. Suppose 4*y + i*g - 2*g = 72, -4*g - 59 = -3*y. What is the highest common factor of 68 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 - 5*c - 4. Let a be j(-4). Suppose -6*k + 2*k = a. Suppose 3*o - 1 - 8 = k. Solve m - 1 + o = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2 - 1980*w - 7984 = 0.\nAnswer: -4, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 399\/18 + (0 - 3\/18). Calculate the highest common divisor of j and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1040 + 4?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0*p - 4*p**2 + 0 + 0*p**5 + 0*p**4 + 1\/70*p**7 + 2\/3*p**3 + 0*p**6. Find the first derivative of n(q) wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5152481, 5152482, 5152483?\n\"Answer: k + 5152480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71016*k**3*u**4*y + 20*k**3*u + k**3*y - 125*k**3 + 2*k**2*u*y + 9*k*u*y - 37*k*u - 18*u**4 + 1 wrt u.\nAnswer: -852192*k**3*u**2*y - 216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23214, -46185, -69164, -92151, -115146, -138149?\n\"Answer: -4*c**2 - 22959*c - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -2e?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 195*w + 264. Give b(-64).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -7 - 1\/3*p**3 + 32*p + 8*p**2. Is 8 a factor of z(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -12, 12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.31 and -0.004413609084.\nAnswer: 1.305586390916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*d**2*o*s - 157*d**2*o*y - d**2*o + 26*d*o*s*y - 1809*d*s - 2*d*y - 7486*o*y wrt s.\nAnswer: -13*d**2*o + 26*d*o*y - 1809*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -0.11\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -81. Suppose -x = -3*v + 2*v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - -41. Is f a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*r + 6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 7 + 36)*(0 - 1 + 2) + 0 - 4 + 3)*(-26*u + 26*u + 32*u**3) to r*u + c*u**3 + v*u**2 + o and give c.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20524, -41080, -61636, -82192?\nAnswer: -102748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -729\/4 - -182. Let f be 2\/(-9) + 19\/45. Put f, -2\/5, a in decreasing order.\nAnswer: f, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((6*(sqrt(68) + -4 + sqrt(68)) + sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) + 3 + sqrt(68) + -5)) + 0)*1)**2.\nAnswer: -1144*sqrt(17) + 11971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43420.03 millimeters in kilometers?\nAnswer: 0.04342003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -60. Suppose d = b + 81. Let n = -32 - b. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2318 take away 202794061.3?\nAnswer: -202796379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 3863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2 - 4, 2*g - 2*l = 14. Which is the smallest value? (a) g (b) 1\/4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 5, -1, 13, 154?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95844 divided by -13?\nAnswer: -95844\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78.60210016 + 81.6021. Let p = 3 - k. What is p rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 16\/4)\/((-3 + -27)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11579*z - 165. Is v(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 31745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -170 (c) 2318 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(42)\/sqrt(3))\/((sqrt(18) + sqrt(2))*-4).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dooorrdddro. Give prob of sequence oroo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from tlrlnbt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 5.4. Let u = 5.1 + m. Which is the closest to u? (a) 0 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/20 and -91\/45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c02 - 487e?\nAnswer: -3c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 801240*r**2 + 40112074800*r + 1204083468000.\nAnswer: 4*(r - 100170)**2*(r + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2\/3 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -86. Let n = i + -15. Suppose 0 = 2*g - 65 + n. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*f + 22*y - 17*y, 10 = -f - 3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1194.3 - -1193. What is the closest to 3 in 2, 1\/7, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/510 and 151\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -72645615.\nAnswer: -72645607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-14))\/((4\/(-2))\/((-287)\/(-41)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -33*b - 10. Let t(z) = -9957*z. What is d(t(r))?\nAnswer: 328581*r - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2537655*y + 564954 wrt y.\nAnswer: -2537655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**4 - 33*d**4 + 0*d**2 + 2*d**3 - 9*d**2 + 30*d**4 - d + 3 to the form m + k*d**4 + r*d + s*d**2 + b*d**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/6)\/((-15)\/257000). What is g rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 3. Let z be s(0). Let g(m) = 25*m + 2. Let j(x) = -17*x - 2. Let r(y) = 3*g(y) + 2*j(y). What is the units digit of r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + g - 124 = -4*u, 5*g + 4*u = 2*g + 168 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 21*i. Give o(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = -12. Let z(b) = -15*b + 17. Let k(r) = 7*r - 8. Let l(y) = v*z(y) + 13*k(y). Differentiate l(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2179*h**2 + 0 + 0.\nAnswer: -2179*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8353187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -15. Let g = 16 - 13. Let m(j) = j**2 - 5*j + 2. Let b be m(g). Sort b, 5, o in descending order.\nAnswer: o, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 32*w**2 + 38*w + 3. Let d be j(-4). Let x = 478 - d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, 4\/3, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-15)*30\/(-6)*(-172)\/12?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 50*i**2 - 4*i - 3. Let a be (-56)\/40 - 6\/10. Is v(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*r - 6. Let k be 42\/(3*1\/r). Calculate the remainder when 16 is divided by (-24)\/k*14\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(121)*-2 - sqrt(121))\/(sqrt(99)*-6).\nAnswer: 7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {h: 2, x: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1024\/9 - 114. Let z = 0.133 + -0.013. Let f = z + 0.08. What is the third smallest value in f, -1\/5, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let l be 1\/3 - (-12)\/(-36). Suppose -6*m = -l*m - 24. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) - (sqrt(2187) - ((sqrt(2187) - sqrt(2187)*-2)*5 - sqrt(2187))) - sqrt(2187))\/(sqrt(1296) + 5*3*sqrt(1296)).\nAnswer: 39*sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*y**5 + 3*y**3 - 2*y**2 + 5915*y.\nAnswer: -2160*y**3 + 18*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(1 - (-1)\/(-2)). Let u = 1 - -1. Suppose 2*a - 66 = -u*o, 59 = 2*o - 0*a - h*a. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3990877 * -0.2\nAnswer: -798175.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-220)\/(-2574) + (-2)\/(-9))\/((-210)\/(-25935))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8))\/((-96)\/2432)*27. Let s(d) = -d**3 + 4*d**2. Let b be s(3). Calculate the greatest common divisor of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 3)*(3 - 2 - 2)*(-1 + 1 - 2)*(4*i + i + 0*i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 228 = 3*y, y = 4*y + 2*b + 237. Let l be y\/(-84) + (-2)\/(-7). Let j = -119.8 - -120. What is the second biggest value in -5, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 268, -826, -1906, -2966, -4000, -5002, -5966?\n\"Answer: s**3 + s**2 - 1104*s + 1370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t*t)**(1\/3)\/(t*t*t**(1\/4)*(t*t\/t**(-1\/7))\/t) assuming t is positive.\nAnswer: t**(-95\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {e: 2, r: 1, b: 7, v: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4)*6 + sqrt(55))\/sqrt(5).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10246*k**2. Let t(f) = 2*f. Give t(j(p)).\nAnswer: -20492*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8926 - 3 + 7702 + 11053 + 4808)*(1 + m - 1)*(5*m + m - 4*m).\nAnswer: 64972*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*a - 1290*a + 2 - 609*a - 2364*a - 1921*a.\nAnswer: -5455*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100476 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2564 + 6014. Calculate the remainder when n is divided by 319.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p. Let x(z) = 4675*z - 154. Let b(w) = 123*w - 4. Let l(u) = 77*b(u) - 2*x(u). What is l(d(f))?\nAnswer: 726*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 2 + -9 + 13. Which is smaller: 1\/8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 99. Suppose j - g = -5*j. Suppose -j = -0*h - 2*h. Solve z = -h*c + 3, 4*c = -c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -16, 1, -5.\nAnswer: -16, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzyyhzyyyzhhzyyyyhy. What is prob of sequence zyh?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 16*a**2 - 7*a + 39. Let c be d(-15). Let o = c - -727\/9. Are 0.1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1 - 1 + 97*u**2 - 95*u**2. Let t(n) = 3*n. What is k(t(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-29))\/(6\/(-4)*140\/(-210))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -28 + 4. Calculate the smallest common multiple of 22 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let a(r) = 93 - 3357*r**2 + 3354*r**2 - 46 + 21. Calculate s(a(o)).\nAnswer: -18*o**4 + 816*o**2 - 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/((4\/(-10))\/(352\/110)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -72.256 + -5\nAnswer: -77.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 0.1 (b) -35707 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Let t(x) = -x**3 - 2. Let p(n) = -7 + 126*n + n**3 - 126*n + 8. Give c*p(y) + 4*t(y).\nAnswer: y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3820751052.\nAnswer: 2, 3, 797, 399493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 3*a - 2. Let o be u(2). Suppose -4*k + 5*t + 58 = o, -3*k = t + 10 - 44. 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: Let h(g) be the first derivative of -g**4\/2 + 5*g**3 - 3*g**2\/2 + 17*g + 56. What is the remainder when 134 is divided by h(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150320520 - -22?\nAnswer: -150320454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**3 + 31*c**2 + 61*c. Let j(p) = 6*p**3 - 30*p**2 - 63*p. Let w(q) = -3*j(q) - 4*v(q). What is the second derivative of w(h) wrt h?\nAnswer: 12*h - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44122 + 10?\nAnswer: -44112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(15\/4)*q)\/(q*q\/q**(-8)) assuming q is positive.\nAnswer: q**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**3 - 3*v**2 + 5*v**3 + 2*v**3 as m*v**2 + y*v + f + z*v**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -1.3217364.\nAnswer: 7.3217364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(12\/5)*(o**(1\/3))**(3\/5))\/((o**1)**(-2\/13))**(2\/97) assuming o is positive.\nAnswer: o**(16413\/6305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = 8*w + a + 13 - 15, -4*w - 2*a - 46 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 4*r. Let n(v) = -19*v**3 - 2*v**2 + 1. What is the units digit of n(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835.1554 decades in millennia?\nAnswer: 8.351554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 5*d - 3. Let i(h) = -h**3 - 29*h**2 + 2*h + 64. Let r be i(-29). Let f = 9 - 6. Suppose -3*p - f = r. Calculate z(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -195769\/647 or -302?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 + -63?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*((-4)\/14)\/(111\/(419580\/216)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-2)**2 + -5 + sqrt(28) + -2.\nAnswer: 2*sqrt(7) + 3381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*p - 127*p + 3*f + 51, -465 = p + 33*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 0*h + 0*h)*(-48 + 24 - 35).\nAnswer: -118*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 37, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -437 (base 9) to base 3\nAnswer: -111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -1\/3, -222 in increasing order.\nAnswer: -222, -1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 593195664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -153*d + 1368. Let q be h(9). What is the closest to 2 in -2\/5, q, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e (base 16) to base 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.3, -13, -1\/6 in ascending order.\nAnswer: -13, -0.3, -1\/6, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905192344 + 34*m**2 - 1905192344 + 23*m**2 + 3*m**2.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 499 - 482. Calculate the remainder when 1308 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437906 is divided by 54735?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326441.0202 + -326234. Let x = 207 - d. What is x rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*y**3 + 27*y**3 + y**4)*(-2*y + 5*y - 2*y + (0 + 1 + 1)*(0*y - y - y) + 1 - 1 + y) + (-2*y + 2*y - y)*(-3 + 3 + 2*y**4) - y**2 + y**2 + y**5.\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y + 18166 - 18124 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*y - 12 - y - y.\nAnswer: 9*y - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14814 is divided by 821?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:35 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 143. Suppose -2*t = -3*z, -t - o*t = -5*z. Solve -3*q + 8 + 1 = -u, -5*u = t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -21. Sort 1, 4, b, -2 in increasing order.\nAnswer: b, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*c**2*j**3 + c**2*j - 14*c**2 + c*j**3 + 9*c*j + 31*j**4 - 12*j wrt j.\nAnswer: -132*c**2*j + 6*c*j + 372*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*c - 138 = 0, 4*v - 158 = c - 6*c. Suppose -v*j + 626 = -35*j. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-15))\/(-4*3\/(-54)). Suppose c = i*p + 337, 2*c - 710 = -2*p - p. Let b = -246 + c. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (-1 + 2 + (0 + sqrt(1053))**2 + -1)*5.\nAnswer: 5257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 10. Let n be a(8). Suppose n*c = b - 1 - 12, 3*b - 72 = -5*c. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19764 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: Let n = 510.01867 + -510. Let b = -30.019 + 30. Let w = n + b. Round w to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**7\/168 - 7*f**4\/12 - 5*f**3\/2 + 12*f**2. Let q(b) be the first derivative of t(b). What is the derivative of q(w) wrt w?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + 72 + -179 + 21.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128031231 * -0.3.\nAnswer: -38409369.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y - 6. Let o = 8 - 17. Let b be a(o). Suppose s = b*s - 52. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/(-26 - -27)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 (base 11) in base 9?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5017893 is divided by 58.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + 15*b - 1. Let m be o(12). Let k = -73 - m. Suppose 4*u + g = 9 + k, 5 = 5*g. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3*sqrt(8) + -1)*-5)**2.\nAnswer: -360*sqrt(2) + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-35) + 2\/(-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-19820)\/35406 + 3605\/6489 and -79\/56.\nAnswer: 47208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmnmbommmmmot. Give prob of picking 1 b, 1 m, and 1 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.91353 millennia to centuries.\nAnswer: 589.1353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15*1*13\/36 and ((-5340)\/(-150))\/(84\/10) + -5 - 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -40, -148, -344, -658?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:14 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12376146?\nAnswer: 2, 3, 491, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*10\/(-15)*(200\/16 + -11).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.69 - -79. What is t rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1506 + 1779. What is the smallest common multiple of 312 and s?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) - (2 + sqrt(11) + 0)**2) + sqrt(132)\/(sqrt(36)\/sqrt(3)) + 3 + 3.\nAnswer: -13 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*z + 4*g + g, -4*z + 60 = -4*g. Suppose 3*t + 0*t + 5*v - 6 = 0, 0 = t + 4*v - 2. Solve a = -3*n - z, -a + t*a = -n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.57 at most -0.02779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/33 and -61\/8976.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - y - 1. What is f(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 3. Let i be l(-3). Let o = -1\/795 + 1613\/18285. Does i = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6210702773?\nAnswer: 11, 163, 3463861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4 + (8 - 5)). Suppose -50*q - v = -51*q. Let p = 67\/3 + -326\/15. Does q = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*x + x = 4, h = -x. Does 16 divide 9\/(h - 35\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3548 - -3553. Sort -12.3, s, -2 in descending order.\nAnswer: s, -2, -12.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, s: 2}. What is prob of sequence vss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 7168058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15ab9 (base 13) in base 15?\nAnswer: c3e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-4\/25)*x)**(-9\/8)\/((x**16*x)\/(x**38*x)) assuming x is positive.\nAnswer: x**(1957\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -4613?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - 0) + (10 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p = -179302 - 3675588 - 1662808. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r + 38 + 3*r + 5*r + r + 14*r.\nAnswer: 5*r + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 311577, 311575, 311571, 311565, 311557, 311547?\n\"Answer: -s**2 + s + 311577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -75?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/2 - -3)*(-38)\/3. Let w = 57 - a. Solve w*h + h - 5 = -3*t, t + 2*h = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/118)\/(-3436 - -3438)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + l + 2474 = 1239 + 1219, j + 5*l + 80 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 54 = -5*s - 24, -5 = -5*r. Sort 21, 0, s, 1 in descending order.\nAnswer: 21, s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 0.04.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = s + 3. Let m(z) = -z**2 - 9*z + 4. Let i be m(s). Let b = 1 - 1. Solve b = -5*p - 1 - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87098.83mg to nanograms.\nAnswer: 87098830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffaa when four letters picked without replacement from ffffaafaffff.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 3. Let u(s) = -5*s + 90. Calculate -3*q(f) - u(f).\nAnswer: 2*f - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.1, -15\/8, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**3 - 2*p - 1. Let h be d(-1). Let q(v) = -v**3 + 5*v**2 + 2*v - 4. What is the remainder when q(4) is divided by 11\/(-2)*(h + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 792606002 - 0\nAnswer: 792606002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*x = -50. Suppose 2*w + 2 = 4*n, 2*w - 5*n = -4 - 2. Calculate the smallest common multiple of x and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 616, 836, 1038, 1216?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-5) + 8\/10. Suppose 29 = s - 2*h + z*h, 12 = -4*h. What is the remainder when s is divided by (-138)\/(-7) + 4\/14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y + 11*y - 20*y + (0*y - y - y)*(-4 - 2 + 3).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249603984.\nAnswer: 2, 3, 7, 59, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*f, 4*d = -f - 3*f. Let g be -6*((-5)\/2 - d). Let i(x) = x**2 - 7*x + 28. What is the hundreds digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2841 - -1999. Let r = s + 5897\/7. Calculate the common denominator of r and (-109)\/(-15) + 1\/3.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**4 + 11*s**3 + 4*s**2 + 4*s - 51. Let a(c) = c**4 + 12*c**3 + 5*c**2 + 5*c - 52. Let j(w) = -4*a(w) + 5*z(w). Differentiate j(q) wrt q.\nAnswer: 44*q**3 + 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 55*c + 1325. Let z be y(-24). Solve 2*q = 3*p - 4, -z*p = -0*p - q - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((117\/(-9))\/130*2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-15)\/10 - 3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Solve t*r - r = 0, q = 4*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(12\/(-4)))\/(-1))\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 1 d when three letters picked without replacement from ndrrrnjrnjrrjng.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3101+2\nAnswer: 2.3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17322956 and 6808.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.528 + 1.928. What is the third biggest value in 5, -0.094, d?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307444938410 take away 1429?\nAnswer: -307444939839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 != 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, 4, 98, 6, 2 in decreasing order.\nAnswer: 98, 10, 6, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + (16 + -3 - (-52 + 43 - -17))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 14. Let c = 195 + -868. Let u = -579 - c. What is the remainder when u is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -4328746.\nAnswer: 14\/2164373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:09 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111010001110 - 11011?\nAnswer: -1000111010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53853698, 53853696, 53853694, 53853692, 53853690?\n\"Answer: -2*h + 53853700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4220 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2*a**2 - 8*a + 13. Let f be z(17). Suppose -2*b = 3*d - 6*d - f, -5*b = -4*d - 157. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -167 and 1387.02.\nAnswer: 1220.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141.7 - 136. Let x = v + -6.7. Let g = 2.03 + -0.03. Sort 3\/7, x, g.\nAnswer: x, 3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-44)\/(-50) - (-20 + 5522\/275)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 + 16*z**2 - 14 - 6.\nAnswer: 5*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-3 - (-1605)\/(-525)) + 16\/35. What is the third biggest value in -3\/8, 11, g, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h + 2*d, -h + 3*d + 14 = 6. Let n be 10\/(2*(-3 + 4)). Let c be n*1 - (-5 - -7)\/h. Solve 2*s = -c - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-84)\/(-1050))\/(-2 + 181\/90). Suppose 2*s + 4*l - 4 = 14, 6 = s + l. Solve 27\/5*g - n*g**2 - 6\/5 + 3*g**s = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9622*v**2*z**3 - 2*v**2 - 7*v*z**3 + 7*z**3 + 1313357*z**2 wrt z.\nAnswer: -57732*v**2 - 42*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 7*t + 50, 3*d = -2*t + 1061 - 1069 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -521 - -502. Sort h, 0, 3 in decreasing order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/3 in 3, -7, -2\/23, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 - -104. Let u = -0.01 - -0.41. Which is the smallest value? (a) u (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98212 + 3 + (-14 - (7 + -13)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 + -53 - (-2 - 1)) + 1 + -39.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 989*g - 95148.\nAnswer: -(g - 881)*(g - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:33 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*w - 14 = -3*w, -3*w = -12. Find the first derivative of 0*s**2 + v + 3 - 3*s**2 - 6 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 times -3?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, 0.97, -2975.\nAnswer: -2975, -5, 0.97, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + sqrt(400) + -2*sqrt(400)*-6 + sqrt(400))\/(-2*sqrt(288)).\nAnswer: -25*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30294673 divided by -1?\nAnswer: 30294673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 2*g**3 - g)*(0 + 0 - g) + (-1 - 2 + 1)*(2*g**4 + 3*g**4 - 3*g**4) - 4*g**4 + 3*g**4 - 4*g**4)*(-2 - 2 + 3).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 1126 + 701 = 0. Let b = g + 256. Let f = 4 - 6. Put b, 5, f, -1 in descending order.\nAnswer: 5, -1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 334, 320?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 5*h + 3. Let r be z(-5). Let o(a) be the third derivative of -a**6\/120 + a**5\/12 - 2*a**3\/3 + a**2. Is 12 a factor of o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-16)\/(a*a**(12\/5)*a\/(a\/((a*a*a\/(a*((((a*a**(2\/5))\/a)\/a)\/a)\/a*a*a))\/a))) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -428880 divided by 26805\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -683 divided by 3\nAnswer: -683\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 + 5 = 0. Suppose -2*x + 3*s = -96, -x + 2*s = -u*x + 34. What is the remainder when x is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 8*q + 8. What is b(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -19563*n**2 - 57*n - 55*n**3 + 5*n**5 + 19728*n**2 - 33*n - 25*n**4 = 0.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 31, -2, -4\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233*j + 2175*j**2 + 629*j**2 + 45 - 45 - 1233*j.\nAnswer: 2804*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*t**3 - 2*t**2 - 10*t - 4909?\nAnswer: -51*t**2 - 4*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f + 4 = 0. Let c be 0\/f*(6 + -3)\/(-9). Solve c*w - 2 = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 214420 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.023 in 1\/53, -2\/3, -0.5, -1\/4, 5\/4?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 3*f + 56 = 4*i + 12, 3*f + 39 = 4*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28a801 (base 15) to base 11.\nAnswer: 1119063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9435857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 0*x)*(0 + 0 - 2*x) + 10*x**2 - 16*x + 16*x + (-x - 3*x + 6*x)*(4*x - x - 4*x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, o: 3, a: 1, h: 2, x: 1, k: 1}. What is prob of sequence ha?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1353 + -1342. Solve -3 = -k*z + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 44. Sort -4, 5, w, 2.\nAnswer: -4, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**2 + 4*c - 2. What is the tens digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 70, -3, -2 in ascending order.\nAnswer: -5, -3, -2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324462 is divided by 23166?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-4) + 179\/(-180). Let k(s) be the third derivative of 2*s**2 + v*s**6 + 0*s - 1\/9*s**3 + 1\/90*s**5 + 0 - 1\/36*s**4. Let k(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 77*u + 282. Let h be i(-3). Solve -h*d + 112 = -92 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/8*-2 + 10. Which is the nearest to 5? (a) -4 (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3067628.37 to the nearest 1000.\nAnswer: -3068000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 2 = 3*d - 4*w, 10 = 2*d + 5*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 0*v - 1\/3*v**3 + 0*v**2 + 4. Let p(u) = -4*u**2 + 16*u**2 - 9*u**2 + 2*u**2. What is o(p(k))?\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-63)*-2)\/(8\/90*3)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-8))\/d)**(-44)*(d\/(((d**(-5\/6)\/d)\/d*d)\/d))\/d**23)**(18\/11) assuming d is positive.\nAnswer: d**(5991\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 + n - 1. Suppose -11 = -2*p - 3. Determine v(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 78 - 34 - 27 - 19*l**2.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657 is divided by 120?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -358 - -360. Which is the third smallest value? (a) 0.8 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, 7 in decreasing order.\nAnswer: 7, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-296817)\/(-54)*2 + (-8)\/36.\nAnswer: 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268899968.\nAnswer: 2, 2100781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25015, 48066, 71117, 94168, 117219?\nAnswer: 140270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2013 is divided by 498?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*a**6 + a**3 + 65*a**2 + 3 wrt a.\nAnswer: 5760*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4317\/8 + 537. What is the common denominator of f and ((-1360)\/(-36))\/5 - 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -2134?\nAnswer: -2138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47048 + 3622935\/77. Let h = -42\/11 + x. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*b**2 - 10 + 27 + 59*b**2 in the form q*b**2 + r*b + c and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2756343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 114 + 866*n - 267*n + 90.\nAnswer: 599*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2ab7 - 19?\nAnswer: 2a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-13) + (0 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2146745 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -452 (b) -0.72 (c) 5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let b(n) = 22*n - 10*n + 160 - 268. Give b(c(l)).\nAnswer: 24*l**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 1\/2, 34?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*6.8237.\nAnswer: -6.14133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -85 (c) -0.0359\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/5 - 20876*b\/5 - 458304\/5 = 0.\nAnswer: -10416, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1.3, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 10*c**2 + 13*c - 45. Let k(d) = 2*d**3 - 19*d**2 + 24*d - 91. Let z(f) = -6*k(f) + 13*w(f). Is z(17) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 15447*j = -15449*j + 42, -3 = 3*g + 5*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-44)*(-36)\/(-39))\/((-3)\/39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872336799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -38*p - 150. Let z be d(-4). Solve -2*l + 4*q = -22, z*l + l = 2*q + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n - 0. Suppose 5*c = -3*p + 2*c + 18, n*c = 4*p - 3. Solve -5*m = -5*x - 0*m - 20, 2*m = p*x + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 545?\nAnswer: 11445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859.3081 milligrams to grams.\nAnswer: 0.8593081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 4*g + 1. Let n be w(3). Let v be (-36)\/(-3) - n\/(-1). Calculate the greatest common factor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 125640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3899 + -3421. Which is the closest to 1? (a) 4\/3 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2956 + -3040. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -42. Suppose -2*z = -w*z + 24. Find the first derivative of -7*u**3 + 19 + 12*u**3 + 11*u**z wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204\/54 + (0 - (-4)\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3115 = 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189b8d (base 15) to base 16.\nAnswer: 12452e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 523613?\nAnswer: -523615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Let y be (-2)\/(-17) - 1704\/(-6035). What is the third biggest value in 1, f, -0.3, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwyy when four letters picked without replacement from iywywe.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472539755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 17*b + 22. Let i be a(8). Let l = i + 55. Sort 17, l, 2 in decreasing order.\nAnswer: 17, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 20. Suppose r = -2*a + 8. Suppose -5*s + 4*x + 14 = -0*x, a*s - 5 = x. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) -5 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -137137.\nAnswer: -137137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 7:38 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i + 10 = 0. Let w be -3 + 12\/(0 - i). Suppose -w*c - c = -104. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Suppose -27*y + 21 = -60. Suppose -5*t - 2*w + 87998 = -y*w, 5*t - 88010 = -s*w. Round t to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*k = 16, -2*x - 4*k + 19 + 21 = 0. Solve -o - 3*o = x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 801785528 and -1.23.\nAnswer: 801785526.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149.657382ms to days.\nAnswer: 0.000001732145625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from utvtvbluj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4 = 2*x, 6*b + 2*x - 4*x - 3 = -13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -48*i - 670. Let y be c(-14). Solve -t - 11 = -y*q - 0, q = -5*t - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 4*u - 3. Determine d(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 236, 238, 240, 242, 244?\n\"Answer: 2*v + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1. Let q(a) = -68*a**2 - a + 3. Determine -q(c) + 5*z(c).\nAnswer: 68*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229 - 226. Sort -3, -7, v in ascending order.\nAnswer: -7, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/160*(-10)\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -527 divided by 6\nAnswer: -527\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 77. Calculate the greatest common divisor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 4. Let k(f) = -4*f**2 - f + 1. Let p be k(1). Let h(q) = 5*q**2 + 7. Let s be 588\/196 - 1\/(1\/(-4)). Give p*h(z) + s*o(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 20*s**5 + 40*s**4 - 175*s**3 - 295*s**2 + 400*s + 500 = 0.\nAnswer: -5\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by -18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*p - 535*p - 28*p**3 + p**2 - 2*p**2 + 6*p**4 + 2*p**2 - 3 + 267*p to the form s + x*p**2 + i*p + d*p**4 + c*p**3 and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33634 by 7.\nAnswer: -33634\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 94*c + 4. Let a be d(47). Sort -2, 2, a, -5.\nAnswer: -5, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 6*x - 5. Suppose 11*m = 22*m - 22. Let y be q(m). Let u(i) = 5*i**3 - 3*i + 2. Let j(w) = -w**3 + w. Give y*u(t) - 3*j(t).\nAnswer: -2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 109 (c) -0.1 (d) 0.5 (e) 3\/4 (f) -4 (g) 0.01327\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6 + -1)*(-4)\/1. Let l = g + 1. Factor -2*j**2 - 3*j**3 + 4*j - 40*j**4 - j**l + 42*j**4.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 522833?\nAnswer: 47\/522833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 160864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 747*u**4 - 868*u?\nAnswer: 8964*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**2 - 9*v - 2. Let t(f) = 12*f**2 - 9*f - 6. Let y(a) = -4*i(a) + 5*t(a). What is the units digit of y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142184085 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 12. Let t be b(13). Is 48\/(-16) - (-1263 - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3891? (a) -5 (b) 3 (c) 1 (d) 0 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 2. Let w = h + 2. Suppose w*k + 10 = 1, -3*k + 25 = 2*d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14063?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2724.80651 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24\/23 + -170\/207. Factor 0 + k*o**2 - 4\/9*o.\nAnswer: 2*o*(o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553?\nAnswer: 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59\/5 of a millisecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 8*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 14, l: 1}. Give prob of sequence ffl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -2, 32856, 0.113?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 7*j**2 - 8*j + 2. Let w be t(8). Suppose -19 = -4*x - 3. Sort 0, w, x.\nAnswer: 0, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 30*u + 70. Let d(c) = 106*c + 247. Determine -5*d(t) + 17*m(t).\nAnswer: -20*t - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 225.1395937 to two decimal places.\nAnswer: 225.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 32. Let j be a(-8). Let u = j - 16. Which is greater: -0.43 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let v(o) = 3*o + 50. Let l(r) = -2*r - 33. Let n(y) = -8*l(y) - 5*v(y). List the prime factors of n(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211\/3 - -72. Put t, 3\/4, 0.4 in ascending order.\nAnswer: 0.4, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -159*c - 396. What is the lowest common multiple of p(-6) and 372?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 11 = 35*b. Put -76, b, 3 in descending order.\nAnswer: 3, b, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27836 divided by 4?\nAnswer: -6959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**3 - 2*v**2 + 1. Let w be n(-1). Let r(d) = d**2 + 6*d + 3. Calculate r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -6 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*n - 11 - 87*n + 158*n + 11.\nAnswer: 650*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/10*-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 5. Suppose -3*h + 88 = -188. Let p(t) = h - 98 + 5*t + 0*t. Let m(l) = -3*a(l) - 2*p(l). Determine m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 less than -34981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f = 3*t + 9, 4*t - f - 5 = 0. Find the first derivative of 2*v**4 - 6 + 265*v**t - 265*v**2 wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1488 - 1483. Let o(k) be the first derivative of 20 + 7*k**3 - 9\/4*k**4 - 3\/10*k**a - 33\/4*k**2 + 1\/4*k**6 + 9\/2*k. Factor o(b).\nAnswer: 3*(b - 1)**4*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3260 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 394\/3. Suppose 0 + 4 = -4*s. Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -5\/2, -0.2, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7280 = g, z = -4*g + 138 + 1318. Suppose -43*n + z = -221. Calculate the least common multiple of 13 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**6))\/w*w**(-2))\/((w\/(w*w\/w**(-5)))\/(w*w*w**(-1\/6))))**32 assuming w is positive.\nAnswer: w**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1956 = 50*b - 44*b. Round b to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93049, 93050, 93051, 93052, 93053, 93054?\nAnswer: 93055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p + 2. Calculate m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q - 2. Let h(x) = -25*x - 5. Calculate 6*h(g) - 17*l(g).\nAnswer: -14*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z + 7 = 115. Solve -8*r + 10*r - z = -2*d, -4*r + 3*d = 23 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 - s**2 - 3*s - 2. Determine d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2094191.\nAnswer: 11, 61, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/3*12\/8. Let w(h) = b - 34 - 11*h**2. Let x(d) = 2*d. Calculate x(w(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4 + 14667*l**2 - 51*l + 4593806 wrt l.\nAnswer: 4*l**3 + 29334*l - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-25)*5*-34*-2*135\/(-324)?\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 694 = -0*u + 5*u, 2*u = -2*y - 278. Let f = u + 235. Differentiate 5*o**4 - 94 + f + o**4 wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 201*w - 4 + 4)*(-37 + 37 + 10*w**2) to m*w + l + v*w**3 + d*w**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/742705 and -61\/120?\nAnswer: 17824920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550144722.\nAnswer: 2, 7, 110724623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (-1 - -3 - -3) + (19 - 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41790242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32302, -64476, -96670, -128884?\n\"Answer: -10*g**2 - 32144*g - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56284159.\nAnswer: 56284159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.83765 to 2 dps.\nAnswer: -80.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j. Let n(g) be the first derivative of 88*g**2 - 847. Calculate w(n(v)).\nAnswer: -704*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from gizuakku.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -2. Let y = n + -45\/2. Which is the nearest to -1? (a) y (b) 0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -285b855 (base 12) to base 15.\nAnswer: -a9b01e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(2\/9)\/k))*k**2)\/((k**(-2\/5)*k)\/(k\/((k*k**(-5))\/k))))\/((k**1)**(13\/6))**(2\/141) assuming k is positive.\nAnswer: k**(1784\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -538276 divided by 269138?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494 divided by 19.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p - 2. List the prime factors of b(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.1, 182, -43?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3425 times 0.3\nAnswer: -1027.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, -1\/54, 25, -62?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 25 - 5 = 0, -2*s + 4*i = -194. Suppose 3*m + 5*t - 210 = -2*m, 3*m = 4*t + s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 22 = 4*q - 5*i, -5*i = 3*q - 26 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 147*i**3 + i**2 - 1838*i**3 - 3*i**2.\nAnswer: -1985*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:15 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - c = 13, 6*s - 4*s - 3*c - 15 = 0. Let l(q) = q**2 - 5*q - 3. Calculate l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -53\/5 (b) -2\/9 (c) 0.4 (d) -4\/9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -6 + -63 + 1 - (-8 - 3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6923.752 rounded to the nearest 100?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3636, -6, 32?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*114\/54 + -6)*(-9)\/24. Which is the biggest value? (a) 2\/9 (b) x (c) 0.5 (d) 47 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3))**45\/(y*y\/(y\/(y\/y**(-1\/4)*y*y)))**(-15) assuming y is positive.\nAnswer: y**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134076 - -2186645481\/16309. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -972*106\nAnswer: -103032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 146.3414169\nAnswer: 113.3414169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16677 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: Collect the terms in -119*k**2 - 151*k**2 - 95*k**2 + 285*k**2 - 107*k**2 + 2*k**3.\nAnswer: 2*k**3 - 187*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -3. Let m(l) = l**2 + 4 + 6*l - 4*l**2 + 0*l**2 + 2*l**2. Let j be m(c). Solve -i + 25 = -2*i + 5*p, 0 = p - j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124537925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-2)\/(2 - 0). Suppose r*w - w = 39. Solve -3*k - w - 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30267)\/(-798) - 38) + 2354\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 383*p + 2073. Determine c(-10).\nAnswer: -1757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 rounded to the nearest 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 99. Calculate o(-16).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 13 + 8 = -2*a, -o = 2*a + 3. Let c = 22 - 18. What is the second smallest value in 42, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -28. Let x(n) = 4*n**2 + 3*n + 6. What is the remainder when x(5) is divided by f + 32 - (4 - 4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 70143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-21)*(-133)\/(-76)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(34)\/sqrt(72) + sqrt(17))*-5.\nAnswer: -65*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b + b = 0. Suppose 7 = 3*j - 5, 4*h - 5*j - 84 = b. Calculate the highest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18581953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/864)\/((2\/16)\/((-925)\/(-100)))?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - c**2 - 78 + 0*c**2 + 78.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0 + 0*o - 1\/3*o**3 - 3*o**2 + 1\/24*o**4. What is i(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r - 2. Let h be 0 - (r + (2 - 5)). Let b = 28 - 34. Is b less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 + 9\/3 + 1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -34*j - 2. Calculate o(3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-21)*3*-1. Let n(k) = k - 2. Let b be n(2). Solve -8*u + 9*u - h = b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2997383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 392\/28 + 1645\/(-35)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316725 + 316725 + 4*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85511*r - 28504*r + 10*r**3 - 28501*r - 28506*r - 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2376 and 216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 631245333 to the power of 1\/2, to the nearest integer?\nAnswer: 25125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - s = 1, 3*g + 3 = -g - 3*s. Suppose -i = 2*y - 0*y - 2, g = 5*y - i - 12. Find the third derivative of w**2 + 4*w**2 - 3*w**y + 2*w**6 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 19*l**2 - 298*l + 578. Give h(29).\nAnswer: 7915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3320400876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 233 + 71. Let j be (-18)\/(3*6\/v). What is the lowest common multiple of (9\/j)\/(1\/(-18)) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 138 + -127.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5880 + -5085. What is the smallest common multiple of 40 and u?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 392, 1493, 3322, 5879, 9164, 13177, 17918?\n\"Answer: 364*u**2 + 9*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2. Let k(w) be the second derivative of -w**4\/12 + 22*w. Determine -12*k(n) - 3*y(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -16\/81?\nAnswer: -16\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (582\/540*-1 - -1)*(-40)\/70?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 3650*r**3 - 892980*r**2 + 74376280*r - 283449760.\nAnswer: -5*(r - 242)**3*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhh. Give prob of sequence hb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*r - 3*a + 77, 0 = 2*r + 4*a - 74. Let l(g) = g**2 + 20*g + 89. Calculate the remainder when r is divided by l(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9282656835 and -0.1.\nAnswer: -1.0282656835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from xxxhxqhxqxhhqhkhhhxq.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 58\/6. Let -2*g**2 - 3*g**2 + q*g**2 + 4*g - 7*g**2 = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(32) + 1)*2)**2 + sqrt(256)\/((sqrt(8) - -1*sqrt(8)) + sqrt(8)) + (sqrt(96)*-2)\/sqrt(3) + -3 + sqrt(32)*2)*-2.\nAnswer: -258 - 200*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + a + 2. Let c be (-2)\/8 + (-3)\/(-12). Let t be i(c). What is the third derivative of -t*y**4 + 4*y**2 - 3*y**4 + y**4 - y**2 wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 4*a + 2*a)*(-1 + a + 1) + 4*a**2 + a**2 - 4*a**2 - a**2 + 0 + 0 - 3*a**2 + 7*a - 7*a to p*a**2 + m*a + i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 a factor of 1560625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1022 - -4091\/4. Is n not equal to -2.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Let s be h(-1). What is the units digit of 15 - (s - (3 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7410 = -501*r + 7*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/2 - m**2\/2 + 17*m. Suppose -5*t - 1 = 4*j, 2*t + 4*j = 2 - 0. Calculate g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - (-1 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 - 3*v - 4. Let j(t) = t**3 + t**2 + t + 5. Let d be j(0). What is the smallest common multiple of 8 and h(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -199?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.6 (b) 0.1 (c) -2\/3 (d) 4 (e) -4\/11 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)\/(((x**(-4\/3)*x)\/x)\/x*x))**0)**47 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74106091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2297\/4 + 598. Let z(i) = i + 16. Let p be z(7). Are u and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 5*l**4 - 4*l**4)*(-4*l + 0 + 0) + 44305*l**4 - 44305*l**4 - 4*l**3 - 8*l**5.\nAnswer: -4*l**5 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4709 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.002 and -0.8.\nAnswer: -0.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 - d**3 + 0*d**3 + (2*d + 1 - 1)*(-2*d**2 + 4*d**2 + 0*d**2) - 2*d**3 + 3*d**3 + 2*d**3 - 3*d**3 + 2*d**3 - 2*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7192 is divided by 276.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kkxkkjjjmkkjjjkkj.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -112, -919, -3102, -7345, -14332?\n\"Answer: -114*c**3 - 4*c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26*(-34)\/(-221))\/(1*7). Find g, given that a + 5\/7*g**2 + 8\/7*g + 1\/7*g**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -19 - (12 - 34) - -12. Let v(g) be the first derivative of 0*g**3 + 0*g**2 - c*g + 8 - 1\/4*g**4. Calculate v(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 8. Let m be n(6). Suppose -m*b + 3*u = -212, -3*u = -2*u + 4. What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 d when four letters picked without replacement from {x: 4, d: 3, m: 5}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, p: 2}. What is prob of picking 2 a and 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229990 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13107 - -65489. List the prime factors of f.\nAnswer: 2, 11, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(23 - (-279)\/(-12)). Factor -l*v**2 - 16 - 4*v.\nAnswer: -(v + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 - -114. Let b be 30\/(-4)*48\/(-10). Calculate the greatest common divisor of f and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -21*i + 1. Let q = 737 + -694. Calculate the remainder when h(-3) is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/5918 in 1\/2, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 3. Determine w(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989271694.\nAnswer: 2, 17, 58507991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 657.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -1 - (-3 + 4)) + -29 + 4 + 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -437 + 437.3. Is -9\/16 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 - x**4\/8 - 7*x**3\/6 + x**2 - 35. Let m(n) = -90 - 82 - 2*n - n**2 + 168. Give -4*b(u) + 7*m(u).\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.183 + -0.17752. What is a rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261028477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -32.77. Let f = -0.27 + c. What is the closest to -0.1 in 2, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 y, and 1 p when four letters picked without replacement from {g: 1, p: 2, y: 4, x: 3, e: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 - 6100*g**4 + 217375*g**3 - 2811250*g**2 + 15662500*g - 31375000 = 0.\nAnswer: -1255, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.1. Let w(a) = 102*a - 1627. Let m be w(16). What is the closest to u in 0.01, 4, m?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibw when three letters picked without replacement from iwlimwlbmlix?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 40 = 4*d, 4*r + 60 = -3*d - 5. Let g be (-8)\/r + 4286\/10. Suppose 4*i = 2*z - 292, 3*z + 2*i + i - g = 0. What is z rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a2223 + -32?\nAnswer: -7a2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5\/386, 68, 29 in decreasing order.\nAnswer: 68, 29, 5\/386, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191196195.\nAnswer: 3, 5, 17, 79, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25801*-0.113.\nAnswer: -2915.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + o - 4. Let t be z(0). Let k = t - -19. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/280 and (-321)\/(-170) - (-4050)\/(-2250).\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -31*x + 94*x - 27*x + 1 - 34*x. Let t(z) = -z**3 - 6*z - 4. What is -7*r(n) - 2*t(n)?\nAnswer: 2*n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*v = -18, -4*c + 15 = -0*c + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 19*m - 40. Let j be s(-21). Which is the smallest value? (a) 3 (b) -0.4 (c) 4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6)*(-63)\/48. Let p = q + 3\/8. Which is the biggest value? (a) p (b) -2\/7 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17720291*-2.\nAnswer: 35440582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79\/4? (a) -3 (b) -0.5 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185867?\nAnswer: 11, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 4838.\nAnswer: 1\/2419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, g: 1, a: 3, t: 2, q: 1, j: 2}. Give prob of picking 1 g and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -254 and -100.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 4*s**2 - 21*s + 86*s - s**2.\nAnswer: 3*s**2 + 51*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217827 and 24203.\nAnswer: 217827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzpzzpzprrrzzzr. Give prob of picking 4 r.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48577593 + -6?\nAnswer: -48577599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*o - 52*o - 5. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 116. Let x(c) = -2*c - 231. Let g(u) = -5*a(u) - 3*x(u). Let p be g(-19). Sort p, 2\/5, 4, -11.\nAnswer: -11, p, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5717.00002357 - -5717. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 295 in 5, 23\/4, 0.3, -2, -6?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 5, -1628\/53?\nAnswer: -1628\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12376471*m + 2242656 wrt m?\nAnswer: 12376471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, 9176 in increasing order.\nAnswer: 3, 28, 9176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-5\/2))\/d*(d*d\/((d\/d**0)\/d)*d)\/d*d)\/((d*(d\/d**(-2))\/d)\/d**(3\/8)) assuming d is positive.\nAnswer: d**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -17*w**2. Let l(m) = -9*m + 3374. What is l(c(x))?\nAnswer: 153*x**2 + 3374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 28 - 8. Suppose s = -a, -4*a = 6*p - 4*p + 4. Suppose -213 = p*z + 123. Round z to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 1\/12*y**4 + 5\/6*y**3 + 0 + 1\/2*y**2 - 11*y. Calculate b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i**2\/13 - 2446*i\/13 + 52400\/13 = 0. Calculate i.\nAnswer: 25, 1048\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 3, t: 1, j: 11, g: 1}. Give prob of sequence gfrr.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531 < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 3*l**2 + (3*l - 4*l + 2*l)*(-2 + 3 - 4)*(l - 4*l + l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2 + 10*o + 10. Let m be j(-3). What is the second biggest value in m, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292 - -297. Suppose -z*u = -239 - 2371. List the prime factors of u.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 778 divide 8835746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15804272 is divided by 127?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 2*k + 2 - 2 - 4*k + 2*k**2 + 4*k + (-2 + 0 + 0)*(-k**2 + 4*k - 4*k) - 15*k**2 - 20*k + 20*k to q*k + p*k**2 + w and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 232*i**3 + 2*i**2 - 6*i + 5. Let o(c) = -c**3 - 8*c**2 + c + 9. Let p be o(-8). What is the hundreds digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/75*-42*(-15)\/6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(10 - (-14 - -28)). Let h = -0.4 + 0.2. Let p = -0.1 + -0.4. What is the third biggest value in h, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:06 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 73009 = -7497 + 12234. List the prime factors of m.\nAnswer: 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1331 + -1332. Is q at most as big as -2\/1389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015569164 to five decimal places.\nAnswer: -0.01557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5959.97 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 333313?\nAnswer: -333330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -45740 and 8.601.\nAnswer: -45731.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6)\/(9\/(-135)). Let f be (-32)\/b*(-20)\/(-8). Let w(j) = j - 16 + f - 2*j. Let x(v) = 3*v + 1. Give -4*w(c) - x(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219497 is divided by 500?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*p = -9 - 12, 5*q - 2*p + 3 = 0. Which is the closest to q? (a) -2 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 6*i + 4. Let m = 16 - 19. Let p be t(m). List the prime factors of (-2)\/p - 63\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495251*m + 4*m**2 - 495251*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 5*b**4 - 5 + (-b + 4 - 4)*(b - b + 2*b**2)*(28517 + 252*b - 28517).\nAnswer: -499*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5 + 5)*(105*i + 11*i + 98*i)*(-16 - 6 - 23).\nAnswer: -9630*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 28062*d**2 - 56025300*d + 27040705000.\nAnswer: (d - 950)**2*(d + 29962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 545921 at most as big as 545928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -35*q**3 - 3*q - 3. Let z(t) = -35*t**3 - 2*t - 2. Determine 2*c(n) - 3*z(n).\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 10. Let l(k) = -42*k + 2. Let u = -10 - -22. Let m(y) = 17*y - 1. Let o(d) = u*m(d) + 5*l(d). Let p(q) = -4*q - 1. Determine w*p(c) + 5*o(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6515 is divided by 405?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shys when four letters picked without replacement from sshy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 379 divided by 3\nAnswer: 379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 1. Let p = -1.1 + 0.1. Let c = p - g. Put c, -1, 0.3 in increasing order.\nAnswer: -1, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3485 and -0.1908523547?\nAnswer: 3485.1908523547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1980 = 5*b - 3*o, -2*o + 2348 = 114*b - 108*b. Calculate the remainder when b is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -0*j - 190 - 22 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 9:40 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56523 is divided by 17073?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -10*u**2. Suppose -z + 14 = w, -51 + 8 = -3*w - 4*z. Let f(v) = -7*v + 11 - 4*v - 5*v + w*v. Let h be f(4). Calculate i(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-33)*q**(-3\/2)*q*q*(q\/(q*q**(-7\/5)\/q*q*q*q))\/q assuming q is positive.\nAnswer: q**(-671\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 210088843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.14\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 27. Let f(r) = r**3 + 21*r**2 - 2*r - 47. Let v be f(-21). Sort -2, q, v, 5.\nAnswer: v, -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**4\/24 - 2*j**3\/3 + j**2. Let z be p(-12). Suppose 2*i - 50 + z = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6 - -9. Let k = 5.4 - b. Let d(g) = g + 5. Let n be d(-3). What is the third biggest value in k, 3, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 534960192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/1365 - 698\/(-26)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose 0 = -l*k + 5 + 19. What is the smallest common multiple of 40 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 9 + 1*-2. Let n be (-159)\/(-9)*x\/(-2). Let g = n - -26. Which is the closest to -2\/7? (a) -4 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.8. Let o = -100 - -74. Let q = o + 22. Which is the nearest to -1? (a) 5 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 8) - (102 - 82)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b - 0*b. Suppose 0 = 3*l - 2*v - 106, -23 - 3 = -l + 3*v. Suppose b*x = l + 2. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 70 = -13*l + 26 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272*i**5 - 1455*i**2?\nAnswer: -16320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - -3614462813.\nAnswer: 3614462821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 308623 > 4629334\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**5\/150 + h**4\/60 + 33*h**2\/2 - 2. Let i(s) be the second derivative of k(s). Let i(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2244663 is divided by 169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 29018?\nAnswer: -29015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exevexeev. What is prob of sequence vv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**4 - 3 - 8714*z**2 - 1 + 8773*z**2 + 598*z**3 wrt z.\nAnswer: 48*z + 3588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 166824?\nAnswer: 166824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) 0.2 (b) -4 (c) 3\/3781 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r + 19. Let q(x) = 19*x**2 + 7*x + 10. What is the remainder when q(-2) is divided by a(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/6*(-2 + -19). Let g be 1854\/30 + (-1121)\/295. What is the highest common divisor of d and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 37. Let m = 31 + z. Suppose 0 = -2*a + 3*t + 119, m*t = -a - 13 + 105. List the prime factors of a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(4\/15))\/h))\/h*(h**13\/h)\/h*h*h*h*h\/(h**(-2\/5)\/h)*h\/(h*h*h**(-11)*h*h) assuming h is positive.\nAnswer: h**(362\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -3*t**5\/4 + 5*t**3\/6 + 4*t**2 - 17*t. What is the units digit of m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395005 divided by 79001\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = v. Suppose 4*f - 6*f = -48. Let b be f + -3 + -1 + 2. Calculate the highest common divisor of b and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 1\/6*z**6 - 5\/14*z**7 + 1\/2*z**5 + 0*z**3 + 0*z**4 + 0*z**2 + 0 - 2*z. Factor u(j).\nAnswer: -5*j**3*(j - 1)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139434.\nAnswer: 2, 3, 17, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 15*w = 2513. Let g = -354 + w. Solve 3*i - 10 = g*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1378 at least -1365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*n + 1891*n**2 - n**3 - 1891*n**2 - 5 - 11*n to r*n**3 + c*n**2 + t*n + y and give t.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 360 = 5*y, -6*j - y - 2*y = -1080. What is the least common multiple of 36 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 - (-9 - (0 + 8 + -4 - 5))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 2 (c) -2\/3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {f: 8, e: 1, t: 1, k: 1, l: 1, c: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/7 (c) 0.1 (d) 0.3 (e) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8325 and 8325?\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, o: 6, x: 1, i: 3}. What is prob of sequence ox?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5235825 divided by 1047165?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.0526\nAnswer: -0.01052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2264, 3879, 4800, 5033, 4584, 3459, 1664?\n\"Answer: n**3 - 353*n**2 + 2667*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from bnjjzn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 146560\nAnswer: -58624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3489454 or -3489474?\nAnswer: -3489474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -989 + 995. What are the prime factors of 0 - (-255)\/g*(-8 - -42)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**(-2)*g)\/g**(-2\/3)*((g\/(g*g**0))\/g)\/(g**(-3)\/g))**(-48) assuming g is positive.\nAnswer: g**(-464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let x(f) = 3*f**2 + 2*f + 1. Calculate 5*k(r) - x(r).\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 546, -162, -2082, -5820, -11982, -21174?\n\"Answer: -101*z**3 - z + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102042834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + c**2 + 0*c**2 + (0 - c + 0)*(4 - 4 - 2*c) + (5*c - 4*c + c)*(423*c + 508*c + 1379*c) as z*c + q + l*c**2 and give l.\nAnswer: 4620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25218 is divided by 274.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23968, 191774, 647236, 1534180, 2996432?\nAnswer: 5177818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/9 + 57*a**2 + 8549*a\/3 + 25135\/9 = 0?\nAnswer: -457, -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -723, -4, -29, 2, 2371 in ascending order.\nAnswer: -723, -29, -4, 2, 2371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**2*y**3 + 726*x**2 + 151*x*y**3 + 16*x*y**2 + 250*y**3 wrt y.\nAnswer: -12*x**2 + 906*x + 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 18802?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-3 + 1 + 0)*(-1 + l + 1 + (3 + 2*l - 3)*(-3 + 2 - 1) - 5*l + 0*l + 3*l + (0*l + 20*l - l)*(0 + 0 - 2)).\nAnswer: 86*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -6. Let f(v) = v**3 - 6*v**2 + v - 4. Let t be f(j). Suppose 0 = -c - w + 5 - t, -w = 2*c - 8. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 10*d - 8*d. Let x be (-370)\/(-2) + d\/(14\/4). Suppose 0 = -10*n + x + 657. What is the remainder when n is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**2*t**4 - 40*h**2*t**2 + 694*h*t**6 + 2*h*t**2 + h*t + 6*t**3 + 39*t**2 - 6*t wrt t?\nAnswer: 168*h**2*t + 83280*h*t**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4)*(-2)\/1. Suppose -6*m = 3*m - 36. Suppose m*i + 7 = -1. Which is the closest to -1\/4? (a) i (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 + 7*r + 1. Let n be d(-7). What is the nearest to 0.1 in 2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170458314431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13336*c + 13341*c + 2*f + 32 = 0, 22 = -2*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-11) - (-876)\/(-1606). Let n(r) = -3*r + 3. Let j(c) = -c + 2. What is b*n(d) - 7*j(d)?\nAnswer: -2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*4*-3 + 5 - (sqrt(30)\/(sqrt(2304)\/sqrt(6)))**2) + -1.\nAnswer: -12*sqrt(5) + 251\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.1. Let d be 110\/4 + (-9)\/(-54). Let p = -26 + d. What is the closest to l in -0.3, -2, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4 + (7 - 5))*-2. List the prime factors of 25*1 - (3 + j).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let r = 16 + -4. Suppose 0 = -2*x - g, 9*x = 5*x - 5*g + r. What is h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 210?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -8 (b) 7 (c) -0.1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9185*m + 64365. Determine s(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 452490980 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, 0, 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(10\/9)*v)\/v**(-8\/3)*((v**(1\/9)\/v)\/v)\/v*v*v**(1\/5)\/v)**(-9\/7) assuming v is positive.\nAnswer: v**(-94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7119, -15860, -24601, -33342?\nAnswer: -42083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -0*z. Suppose -2*g = -13*g + 55. Suppose g*k - 21 = 39. Calculate the greatest common divisor of k and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*((sqrt(539) + 0)*4 + 3 + sqrt(539) + sqrt(539) + (sqrt(539)*-2 - sqrt(539) - sqrt(539))) - -6*((0 + sqrt(539))*2 - (-2*sqrt(539) + 3))))**2.\nAnswer: -4704*sqrt(11) + 422720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(116\/(-104) + 1). Suppose -4*f = -v - 56. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1458\/8136 - 1\/4)*(-301)\/1204.\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.6 - 49. Which is the closest to -3\/7? (a) 4 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 - (0 + (-5 - (10 + -8)) + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 114 - 21187*w + 16 + 21 to the form s*w + k and give s.\nAnswer: -21187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -x + 11. Suppose -8 + 0 = -x*a. What is the nearest to a in -3, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77323\/6 + 12805. Let b = t - -82. What is the closest to 3 in -0.2, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**(1\/4)\/(j\/j**(1\/2))**(-2\/69)*((j*j\/(j**(2\/7)*j))\/(j*j**(2\/5)\/j))\/(j\/j**8*j**5*j) assuming j is positive.\nAnswer: j**(53759\/38640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 7*q - 3. Let i be s(4). Suppose 3*o - 114 + i = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -2 (c) 2 (d) 3\/4 (e) 4 (f) -201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 26*f**2 - 628*f - 909. Let x(w) = -7*w**2 + 4. Let c(i) = a(i) + 4*x(i). What is the first derivative of c(t) wrt t?\nAnswer: -4*t - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42302.\nAnswer: 2, 13, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/4 + 17310*q - 1633767 = 0 for q.\nAnswer: -23174, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*a = -1773 - 699, 4*h - a - 4944 = 0. What are the prime factors of h?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10604170 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -377.2403 + 379.24. Let z = t - 1.99. What is z rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*4*(-5 + (3 + 1 + sqrt(2057) + sqrt(2057) + (sqrt(2057) - (-5 + 1 + sqrt(2057))) + sqrt(2057) + sqrt(2057))*-3))**2)*-5.\nAnswer: -213875265 - 5512320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 1. Let r be (-2)\/(-2*(-2)\/(-8)). Suppose -2*y = -2*w - r, w + 3*y - 13 = -y. Suppose w = f - 0. Give j(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2081740840.\nAnswer: 2, 5, 52043521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*h + 66 = 0, 66 = 3*q - 0*q + 2*h. Suppose a = -2*r + 27, q = -5*r - 4*a + 88. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651.5056 centuries to years.\nAnswer: 65150.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12111000120 (base 3) to base 15.\nAnswer: -21e8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.7294568 to 1 dp.\nAnswer: 217.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/1)\/((-3)\/(-2)). Let m(v) = 16*v**3 + 3*v**2 - 2*v + 1. Let u be m(1). Suppose -21*n = -u*n - 15. Solve -q*a - 9 = -n*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199*y**5 - 214*y?\nAnswer: 3980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15751603 + -437?\nAnswer: 15751166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352794780?\nAnswer: 2, 3, 5, 13, 150767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.464 - 2.85. Let i = -0.386 - r. Sort 2, i, 1\/27, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, 1\/27, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185530 a multiple of 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 - 21*f**2 + 15*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 852497, 1704996, 2557493, 3409988, 4262481, 5114972, 5967461?\nAnswer: 6819948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 2:12 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-2))\/(-7)*-12. Let s be 1\/((-2)\/g*-3). Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q - 49. Let w = 350 - -28. Calculate the smallest common multiple of w and b(-5).\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9899190 and -91\/97470?\nAnswer: 564253830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7444.157 years in centuries?\nAnswer: 74.44157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-150)*-36)\/((-100)\/30)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3796 = 194*h - 8727 - 7485 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 46 = 4*f, -5*f = h + 2*h - 61. What is the second derivative of -3*u**2 - u**2 + 12*u + f*u**2 wrt u?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/125363952 and 89\/9128.\nAnswer: 125363952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*o + 0)*(-3*o**2 + 3*o**2 + 2*o**2) - 325 + 5*o**2 + 324 + 73*o**3 - 6*o**2 to t + r*o**3 + j*o**2 + n*o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i + 2*y - 0, 0 = -y + 1. Let u = -13 - i. Let f(c) = c**3 + 11*c**2 + 7. Let r be f(u). Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (2 + 5)) + (-14 - -7 - 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -4) + (-69 - -47) - -22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c + 18. Let h be y(-10). Let k be (808\/h)\/(4\/60000). Round k to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -42328.110657992?\nAnswer: 42324.110657992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.07751?\nAnswer: -0.07751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**31*(n\/n**(-1))**(-3\/14)*(n**(1\/4))**(2\/119)\/(n**(1\/7)\/n*n*n**(-6)) assuming n is positive.\nAnswer: n**(8671\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 1 q when three letters picked without replacement from {f: 2, l: 2, x: 1, q: 1, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105088 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*l**2 - 47*l**2 + 27*l**2 + (-2 - 1 + 4)*(0*l - 2*l**2 + 0*l).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12434430 - -21?\nAnswer: -12434405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*c - 37 = 0, 4*c + 17 = -p - 0*p. Suppose p = -r + 6. What is the second derivative of -r*y**2 + 3 - 3 - 11*y + 2*y**2 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -5 (c) 1 (d) 2 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = 3*s, 2*s + 70 = 4*k - 8. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 20. Suppose 6*j - 62 = -8. Let q be s(j). List the prime factors of 265\/q*(3 - 11\/5).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1157 - 1161. Let o = -2 - -3. Let h(r) = -r**3 - r + 1. Let i(y) = -5*y**3 - 3*y + 4. Determine l*h(k) + o*i(k).\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.302 - 0.002. Let z = -1028577\/7 + 147205. Let y = z - 265. Which is the closest to -17? (a) u (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 1. Let v be j(-4). Suppose -q + 107 = 2*q - n, 5*n = -v. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 522.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 2, c: 2, g: 1}. Give prob of picking 1 k, 1 c, and 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-399)\/3990 - 1405\/(-50)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 5*d + 35, -1 = d. Suppose 5*z = 3*s - v - 5, 0 = -4*z + s - 12. Suppose 2*i + 3*i = 0. Is z greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let r be (-1 - -1)\/f - -5. Suppose 5*i - 2*m = 2*m + 82, r*m + 44 = 3*i. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -50 - (-25 - -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 14*x**2 + 16*x + 12. Let z be g(-15). Calculate the lowest common multiple of (z*4\/(-14))\/(9\/294) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 29*f - 16. Calculate g(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 19*m + 53. Let z be -3 - 54\/(-36)*-2. What is x(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180708007 a multiple of 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 197740 + 145610. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220.00164 rounded to the nearest ten?\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15369 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*d - 25*d = -14*d - 4945 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:23 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)\/((b\/(b**7*b))\/b))\/(b*b**(-2\/5)*b*b*b*b**(-3))*((b*b**(1\/9)\/b)\/(b\/b**(2\/9)*b*b))**(1\/2) assuming b is positive.\nAnswer: b**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + a - 6, -2*a + 13 + 3 = -4*y. Let d(g) = -3*g**3 - 11*g**2 - 15*g - 5. What is d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) -2\/13 (b) 5 (c) 190 (d) -5 (e) -17\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042060 is divided by 2735?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371815 is divided by 554.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -334447000 rounded to the nearest 1000000?\nAnswer: -334000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*y + 54 = -3*o, -27 = -o + 4*y. Is o != 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - 0) + -250 + 262\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 1\/4, -49, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1650*n**3 + 4000*n**2 wrt n?\nAnswer: 9900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 10 = 4*d. Suppose -6*b + d*b = -24. Calculate the greatest common divisor of 6 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f. Let v(g) = 11422815*g. Determine v(a(r)).\nAnswer: 57114075*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 3 = -b. Let c(g) = -g + 20. Let p be c(b). What is the greatest common divisor of 6 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0656 to 3 decimal places.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + (-20)\/(-6). Let c = o - 18. Let w = -11 - c. Put 2, -5, w in decreasing order.\nAnswer: w, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 - -260. Solve -4*b - 3*m = -2*b + 17, 20 = -x*m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71\/2 in 1\/37, -113, -5?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 36*t**2 - 34*t + 77. What is the remainder when r(15) is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*d - 89, 0*d = i - 2*d - 27. Suppose -3*y - 3*l - 4 + i = 0, 4*y - 6 = 2*l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33670.39754515+-0.4\nAnswer: 33669.99754515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-4 - 0) - -2 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 82. Put 0, 2, k in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + g. Let a(h) = -14*h**2 - 22*h + 6. Let o = 80 + -66. Suppose -13*b + o*b + 36 = 0. Let l(d) = b*f(d) - 4*a(d). Find n such that l(n) = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 45. Let o(p) = p**3 - 5*p**2 - 8*p + 12. Let f be o(b). Which is greater: f or 3\/148?\nAnswer: 3\/148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 234 = 9*z. Let n be (-2)\/13 + 324\/z. Solve n*w - 5*w = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-56)\/12) + (-6)\/(-14). Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 699381828 and 7116?\nAnswer: 7116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -y + u, -7*u - 24 = 5*y - 9*u for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189*n**5 + 527*n**3 + 3*n**2 - 5*n + 1266 wrt n?\nAnswer: 11340*n**2 + 3162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132193, 132296, 132471, 132718, 133037, 133428?\nAnswer: 133891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(120)*5)\/(-2*sqrt(294)).\nAnswer: 20*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 147.\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 137*h**2 + 35*h + 4815. Determine s(-137).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 7*n + 10. Let j be q(5). Suppose 2*u = 4*r + 18, 0 = -5*u - j*u + 3*r + 31. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.000075 + 18. Round v to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37428420 divided by 6540?\nAnswer: 5723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 23 - 27 = 0. Let g be ((-10)\/p)\/(2*(-3)\/(-12)). Let x be 4*g\/(-980)*2. What is the third biggest value in x, 3\/8, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 10:21 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -42. What is the greatest common divisor of r and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10388.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 7*g**2 - 11*g + 9. Let v be n(5). Suppose u + v*p + 48 = 0, -p = -3*u - 3*p - 184. Let d = 174 + u. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18504, -65642, -141410, -245808?\n\"Answer: -14315*p**2 - 4193*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - (-3 + 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/7)\/(-14) - (0 - (-20)\/(-21))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p - 1. What is the remainder when 21 is divided by i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 144 = 1168. Suppose -69 = -i - z. Solve -i*k - 5 - 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2.6, 34035, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2700, 4850, 7014, 9192, 11384, 13590, 15810?\n\"Answer: 7*w**2 + 2129*w + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14102287229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*v**3 - 1402*v**3 + 289*v**3 + 295*v**3 + 278*v**3 + 279*v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 52*u**2 - 384*u + 576.\nAnswer: -2*(u - 12)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/180)\/(5\/(-30)). Sort -1, w, 400 in ascending order.\nAnswer: -1, w, 400","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from eetyeezgeette?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60780851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4\/63, -291164.\nAnswer: -291164, -0.1, 4\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762303010?\nAnswer: 2, 5, 7, 59, 184577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1688293.\nAnswer: 29, 58217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdefdefd. What is prob of picking 3 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 + 100010?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33035397 divided by 2?\nAnswer: -33035397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 13*o + 5. Let b be v(5). Let s be (-66)\/(-14) + (-2)\/(-7). Suppose -y + b = -q + y, 3*q + 340 = -s*y. What is q rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Solve -8 = f*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3\/2, 5, -16\/7 in decreasing order.\nAnswer: 5, -0.4, -3\/2, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 + 13*j**2 - 16*j - 2. Let u(s) = 11*s**3 + 26*s**2 - 31*s - 4. Let w(p) = -13*d(p) + 6*u(p). What is the units digit of w(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566152087?\nAnswer: 107, 5291141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 55984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 304988*p - 168. Let r be 3*-1 + (-9)\/(-36)*-44. Let c be n(r). What is c rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189040 is divided by 1062.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k + 12 = 0. Let z be -3*(-5)\/(-30)*-8. Suppose -c = q - z, 4*q - 3*q + 3*c = 10. Sort k, q, 4 in increasing order.\nAnswer: k, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -0.2 (b) 0.02 (c) -2 (d) -3 (e) -0.169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/62 and ((-3)\/5)\/((2464\/1480)\/(-7)).\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*n + 17, -3*n + 9436*l - 4720*l - 67 = 4721*l for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 - 4.18. Sort 4, n, -0.2 in increasing order.\nAnswer: n, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -19*t + 72. Let f be p(8). Let w = f - -95. Calculate the remainder when 146 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 18*g**2 - 17*g + 14. Determine f(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 90 - 114 = 0. What is the units digit of 15*m + (-95)\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 40.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10139.\nAnswer: 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4087 and 20574561?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/1561 in -6, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n + 20*n**3 + 394 - 16*n**3 - 395 - 3*n**2. Let p(j) = 5*j**3 - 4*j**2 + 6*j - 2. Calculate -4*m(h) + 3*p(h).\nAnswer: -h**3 - 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -90.6 and -150?\nAnswer: 59.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4084*h = -2033*h - 2026*h + 275 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10694017*b + 6449861.\nAnswer: -10694017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, -1, 3 in ascending order.\nAnswer: -1, 3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1301 - -2533. Calculate the greatest common factor of y and 539.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let o = -1 + 4. Let q(u) = u**2 + 2*u - 2. Let b be q(-3). What is the nearest to w in o, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -249252*w**4 + w**2 + 19706*w?\nAnswer: -5982048*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 23 + 3 = 0, 4*m = 4*i + 4. Suppose 0 = -i*a + a + 180. Let x = -36 + a. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 + -551\/3. Let n = 64 + -65. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5961 + -3414. List the prime factors of o.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553e26 (base 15) in base 4?\nAnswer: 33200001033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 356*n**3 + 3740*n**2 - 3388*n.\nAnswer: 4*n*(n - 77)*(n - 11)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 11.96. Let c = l + -0.03999968. What is c rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11218093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + d + 2. Let r be c(0). Suppose 63 = 153*g - 144*g. Differentiate -g + r - 6*v**3 + 7*v**3 with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b - 24. Let w(p) be the third derivative of -3*p**6\/20 - p**5\/60 - p**4\/4 + p**2. Let g be w(b). Round g to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1338, -2062, -2786?\n\"Answer: -724*z - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -9.3 (b) 0 (c) -1\/1194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 5 = -57*v, 114 = 2*f + 4*v. Solve x - 59 = -f for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 59, -1, -75, 3 in decreasing order.\nAnswer: 59, 3, 1, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 31 = -2*z + v, 3*v - 15 = 0. Suppose 0 = -t + 20 + 2. What is the units digit of (-4)\/z - t\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 4*x + 7. Let t(q) = 2*q**2 - 5*q - 9. Let k(r) = 5*s(r) + 4*t(r). Let f(o) = -o**2. Calculate -2*f(j) + k(j).\nAnswer: -5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:21 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (-52 + 27 - -78)) + -29.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n - 2. Let s(k) = 93*k - 27. Let j(x) = -27*f(x) + 2*s(x). Let d(l) = -24*l**2. Calculate j(d(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 14*q. Let c be m(-14). Let p be 112\/342 + (-4)\/18. Are p and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 40, 65, 94, 127, 164?\n\"Answer: 2*h**2 + 15*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 16*h**2 + 46*h - 24. Let v be s(-12). Calculate the common denominator of -13\/15 and (36\/(-70) - v)\/((-912)\/7182).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 23*f**2 - 1189*f - 252. What is the remainder when 3350 is divided by a(52)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4*a*a\/(a*(a\/a**(-6\/7))\/a*a)*a*a*a*a*a**(3\/2)*a*a*a*a*a*a\/((a**(-19)\/a)\/a) assuming a is positive.\nAnswer: a**(499\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1297.62 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 17*c - 17. Let a = -39 + 30. Let g be (-369)\/36 + a\/12. List the prime factors of r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-30))\/((-5)\/75).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdbbbbwbbvvmbxwdvm. Give prob of picking 1 w and 2 d.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/8 (b) -112 (c) 30 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by ((-40)\/6)\/4*((27 - 25) + -14).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.589 + 0.959. What is i rounded to 1 decimal place?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11874075 and 28050?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 128, 196?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*s + 300*s = -16 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26266, 105139, 236594, 420631, 657250, 946451, 1288234?\n\"Answer: 26291*t**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 1. Let l(s) = -6*s - 3. Let r(m) = -3*m - 1. Let t be r(-6). Let a be (0\/(1 - 0))\/2. Let o = a - 6. Give o*l(v) + t*u(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*z - 7*z + 170 = 0, -p = -5*z - 46. Does 6 divide 6\/27 + 1324\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**2 + 11*c + 11. Let t(u) = u**2 + u - 8. Let p(i) = 2*i**2 + 3*i - 18. Let z(j) = -3*p(j) + 7*t(j). Determine -2*a(m) - 11*z(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o - 7. Let q be w(5). Let i = -0.1 + 5.1. Let m = 6 - 6. What is the third biggest value in m, q, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123283 and 568411.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-11)*h*h**(2\/33)\/h*h*h**(-8)*h**(-7) assuming h is positive.\nAnswer: h**(-790\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-95))\/1*(-74)\/(3404\/230)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 300 + -219. What is the highest common divisor of 36 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1070 and 2.\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.015, 1\/3, 125, 1, -5\/14?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 10*f**2 - 5*f + 21. What is the thousands digit of p(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-8 - 104)\/(-16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 7. Let g(j) = j - 10. Let w(x) = 2*g(x) + 3*s(x). Suppose 2*a + 2*a - 48 = 0. Let k(u) = -2*u**2 - 12*u + 12. What is a*w(z) - k(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -7*u + 5*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 4. Let p be w(3). Find the third derivative of p + 7*h**3 - 16 + 6*h**2 wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 100*z**2 + 105*z + 175. Give p(-51).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/33)\/(42\/(-504)))\/(17\/23936*32)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006372790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/20*6\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716 = -3*f - f + 2*u, -5*u + 201 = f. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, 2\/55, 4, 2\/3, -2 in decreasing order.\nAnswer: 280, 4, 2\/3, 2\/55, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 less than or equal to -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(153)*1)**2 - ((sqrt(17) - -6*(sqrt(17) + 0)) + sqrt(170)\/sqrt(40)).\nAnswer: -15*sqrt(17)\/2 + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1))\/((-17)\/(-34)). Does 16 divide m + 0 + (-258)\/(-10 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8 (b) -2\/15 (c) -606.91 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1*r*r*r)**(8\/15)*(r**(-1\/3)\/r)**(-23) assuming r is positive.\nAnswer: r**(484\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40334281777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 34*i**2 + 18*i + 226. What is the units digit of a(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -329.93 + 335.93. What is the closest to f in 1\/3, -6, -0.5, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4. Let v = 0 - g. Let s = -0.8112 + -3.1888. Which is the nearest to s? (a) 3\/4 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64374\/7 - -9196. Which is the nearest to -0.2? (a) 1\/8 (b) g (c) 2\/21 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**4 + 0*l + 0*l**3 - 5*l**2 - 2\/15*l**5 + 0. Let a(h) = -h. What is m(a(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/10 + 7*f**3 - 17*f**2 - 29*f + 1. Differentiate l(m) with respect to m.\nAnswer: -6*m**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:59 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:36 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4958 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 14. Let z = h + 16. Which is the closest to -5? (a) z (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - p)*(-34572*p**2 + 718 - 344 - 374).\nAnswer: 34572*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrggggcgggghgghhjgrg. Give prob of picking 1 c, 2 h, and 1 g.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let r(j) = j**2. Let d(z) = 2*z - z**3 - 4*z - 7 - 6*z**2 + 0*z + z. Let q be d(-6). What is q*o(n) + 2*r(n)?\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1425479 * -9.\nAnswer: -1.2829311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**5 + 109*x**3 + 4862*x**2.\nAnswer: 120*x**2 + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w**2 - 6*w**2 + 0*w**4 - 10*w**3 + 17*w**2 - 2*w**4 - w to b*w + c*w**4 + a*w**2 + r + o*w**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 113. Let y = -49 + r. Put -1, y, -8 in decreasing order.\nAnswer: -1, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-3)\/(-15)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -v - 15, 13 + 2 = 3*p + v. Suppose 3*z - 3*t = 18, 5*t + 0 = -3*z - p. Solve -2*r + 2 = f + 3*f, 5*r - 18 = z*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1070777 * 5\nAnswer: 5353885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*z - 2, -z - 14 = -2*w - 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 279, -2 in descending order.\nAnswer: 279, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulgugnlulu. What is prob of sequence nl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211001 - 122?\nAnswer: 1210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-56) - (-85)\/(-210). Factor 1\/6*m + t*m**3 + 0 - 1\/3*m**2.\nAnswer: m*(m - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (17 + -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-18 + 8)) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose 5*h + g*y - 19 = 0, -y = 4*y - 10. Suppose -2*a = -19 - h. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2)*(0*p**3 + 0*p**3 - 3*p**4 + (p**2 + p**2 + 0*p**2)*(0 + 3*p**2 + 0) + 2*p**4 + 5*p**3 - 5*p**3).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (8 - 639\/81). What is the closest to -2 in 3, 6\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 8. Let h be x(3). Let d(k) = -1. Let j(z) = -6*z + 8. Let p(o) = 3*d(o) + j(o). Calculate p(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6278, 7637, 11332, 18533, 30410, 48133, 72872, 105797?\nAnswer: 148078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 84. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -5 + (3 + sqrt(448))*4 + -4)**2.\nAnswer: -7193 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0)**(13\/7)*(d*d\/(((d*d\/d**(2\/5)*d)\/d)\/d))\/d**(-2\/5))**(1\/5))**(-2\/51) assuming d is positive.\nAnswer: d**(-256\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f - 9. Let x(i) be the first derivative of i**2\/2 - i - 5. Let h(w) = -l(w) + x(w). Differentiate h(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 10:13 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -7, 17, 7 in decreasing order.\nAnswer: 48, 17, 7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13874657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2280)\/228*(-6)\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 4:44 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 4, j: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from eooeeoeoeoeoo?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47782 (base 10) in base 16?\nAnswer: baa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 9:14 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8935 is divided by 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**4\/4 - 8*b**3\/3 + 15*b**2\/2 + 11*b - 4361. Give t(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214759*r**4 - r**3 - 5393565*r?\nAnswer: 2577108*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41418*c = 2*r + 41417*c - 3, 4*r - 5*c + 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 59.73825t to nanograms.\nAnswer: 59738250000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/105*80\/(-24). Suppose 3*k - 38 = 4*p + 43, 96 = -5*p + 2*k. Is p smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = -9, 5 = 5*w - 4*n. Let h be (2\/w)\/(16\/80). Suppose 0 = -2*g - 4*r + 448, -4*g - 75 = h*r - 947. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 >= 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 10671*x - 15*x.\nAnswer: 10656*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Suppose -i = -4*i + s + 12, 4*s - 8 = -2*i. Let f(y) = i*y + 3 - 1 - y**2 + 0 + 3*y**2. Let o(j) = -d(j) - f(j). Calculate o(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 960 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 1, c: 1, y: 6}. What is prob of picking 1 u and 2 y?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 6 + 6)*(136 + 160 + 109).\nAnswer: 1620*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-12))\/(-1*(-6)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16470577751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:58 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -1. Suppose -3*i = -x*i + 12. Let b be 6\/15 + i\/(-10). Solve -4*a - o - 16 = 0, -5*a + 2*o - 7 = -b*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3818 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 22 (b) -17 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -5*o - 3330. Suppose -2*g + 56 + 86 = -a, 5*g = -4*a - o. Let x be a\/21*12\/(-10). Calculate the greatest common divisor of 88 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(0 + sqrt(68))*1 + -5)**2.\nAnswer: -72*sqrt(17) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 9)\/(1 + (-3)\/1). Suppose 180 = b - 3*n, -711 = -4*b + 3*n - q*n. Suppose 0 = -0*u - 2*u + 3*t + b, -u - 4*t = -83. List the prime factors of u.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y - 169 = -23*y + 9*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = g - 112*d + 111*d, 4*g - 5*d + 31 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 21\/62093.\nAnswer: 21\/62093, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99880 and 107598?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnonkonnoo. What is prob of sequence nnn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28620 and 139624260.\nAnswer: 1256618340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*s - 25 = 0, 4*x - 8*s + 20 = -16*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.09 - 13. Let t = -0.08 + 0.28. Let o = t - k. Is o != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 2*i - 4*i + (5 + 1 - 4)*(80*i + 3420 - 3420) as c + h*i and give h.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001 + -11110?\nAnswer: 1000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**3\/5 - 4*v**2 - 184*v\/5 - 32 = 0.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 568311893 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6660 (base 10) to base 5.\nAnswer: 203120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/(-52))\/(2\/24). Solve -b - q = -5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from fwfgwvytttfgwg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1863, 7263, 19741, 42837, 80091, 135043?\nAnswer: 211233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -28127 at least as big as -28127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 2*u**5\/15 + 13*u**4\/8 - 7*u**3\/6 + 3*u**2 + 5*u. Does 29 divide o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 904 - 560. Solve 3*l + 343*s - 15 = f*s, -2*s + 5 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 127\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00580117761 to 4 dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, x: 4}. What is prob of picking 3 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/3)*p**(1\/11) assuming p is positive.\nAnswer: p**(-19\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lffllf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-18)\/3)\/(-2). Suppose 292 = 7*v - w*v. What are the prime factors of v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -2*y - 4*g, -5*y - 2*g - 72 - 49 = 0. Let p = -20 - y. Let d(j) = -j + 10. Let k be d(8). Solve -k*m = m - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4201596 is divided by 1842?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4225 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 435400, 435401, 435402, 435403, 435404, 435405?\n\"Answer: w + 435399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 2*s + 5*s)*(-6*s - 23*s + 0*s).\nAnswer: -290*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472191343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -105, -201, -327, -483?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -1\/6*p**3 - 11\/60*p**5 + 8*p**2 + 0 - 6*p - 1\/12*p**4. Suppose 4*s - 2 = 6*s. Calculate o(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 8*d - 1521200, 16 = 39*v - 37*v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 12*g - 7. Let l be o(11). Let t be l\/(-14) - (-161)\/49. Solve -4*v + 7*v = -t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:31 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i - 15. Suppose 0 = -2*k + k. Let m(c) = 23*c + k*c**2 + c**2 - 17*c. Determine m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.635 - -12.325. Let s = b + -7.18. Let v = -0.28 + s. Round v to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*q + 1273, 0*q = 3*r + 2*q - 1897. Suppose -4*m = -5*s - 71 + 865, 3*m = -4*s + r. List the prime factors of s.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 47*u - 15*u)*(0 - 5 + 3)*(-u**3 - 3*u**3 + 5*u**3) to the form z + h*u**3 + f*u**4 + m*u**2 + k*u and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -r - 83, -2*n + 41 = -n - r. Suppose 0 = v - 3*k - n, 5*k + 9 = v - 27. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777*b**2 + 971*b**2 - 3395*b**2 - 457*b**2.\nAnswer: -3658*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - x**3 + 1 + 2 - x**3. Let t(d) = -d + 4. Let l be t(6). Does 8 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.64 (b) 0.0121549 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 19*g**2 + 34*g + 2. Let j(f) = 75*f**2 + 137*f + 9. Let n(y) = -2*j(y) + 9*m(y). Find the second derivative of n(o) wrt o.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -52. Suppose -s - s - 4 = w, 4*i + 3*s - 90 = 0. Let x = 22 - i. Is 2 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 2062207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -25, -6, 7, 39, 4 in increasing order.\nAnswer: -25, -6, -2, -1, 4, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + r**3 - 2*r**4 - 2*r**3 + (3 - 3 - 2*r**2)*(-74*r**2 + 378*r**2 + 247*r**2).\nAnswer: -1104*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (1 - (6 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -28*h - 8. What is the hundreds digit of s(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 800000. Let p = 3 + -3. Let x be n(p). Round x to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeciav. Give prob of sequence cai.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 6 = 0. Let k be (1 - -1)*3\/w. Suppose -f - 19 = -3*t - 8, 0 = k*t + 3*f - 11. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-48)\/(-3)*2966\/5 - (-3)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from nqnnqqnwqnwq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2 - 2 + 1 + 0 + (1 - 1 + 1)*(0 + 0 - 2) - 3 - 3 + 13)*(-s**4 + 4*s**4 - 2*s**4).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/51 and 43\/251787543?\nAnswer: 4280388231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 76*a**2 - 364*a - 15. Is b(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145 - 9*l + 145)*(10 - 6 + 7).\nAnswer: -99*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 25 + 29 - 17*u - 11*u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -39*d - 87. Let b be y(-7). Is (-2 - -4) + 9\/(27\/b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2 + 18276*g + 36560 = 0?\nAnswer: -2, 9140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1300\/(-750)*1050\/(-140)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = 99*n + 411 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 134 and -44635904.\nAnswer: -44635770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = -0. Let z = d + 3. Let p be 1 - ((-180)\/28)\/(-5). Which is the closest to z? (a) -6\/11 (b) 1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + 118\/318. Is b >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 277, 411, 543, 673?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -195, -224, -263, -318, -395?\n\"Answer: -u**3 + u**2 - 25*u - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*b - 60*b - 873928 = -4*y, -b = -5*y + 1092389. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64 - 1) + (15 - (-4 - (-27 + 8) - 9))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*j + 51*j - 21*j + 152*j + (1 - 4 + 2)*(0 - j + 0).\nAnswer: 181*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.35 + 0.5. Let d = r + -0.85. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q + 4047 = 3711 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*x = 252*x - 227*x - 5166 + 390 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = -2*b - 3*x, 5*x = b - 28. Suppose -5*y - b = -n - 1, 4 = 2*n + 3*y. Solve n*g - 5*g = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, 13289, 2\/7, -24, 0.3, 0.1, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l + 1. Let r(a) = 31*a - 5. Let q(n) = -11*f(n) - 2*r(n). What is the first derivative of q(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*b - 213 = 0, b + 309 = 4*w - 0*b. Find the second derivative of -134*f**4 + 2*f + 73*f**4 + w*f**4 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303384.5 millilitres to litres.\nAnswer: 303.3845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (28 - 31)) + -11.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/3)*o*o**2\/o*o*o\/(o\/(o\/(o**(-6)*o)))*o*o**(1\/3)*((o*o**(1\/4)\/o)\/o**6)**(-6) assuming o is positive.\nAnswer: o**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 - 7*p**2 - p - 2. Does 17 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -11774630.\nAnswer: 1\/2354926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 9, h: 10}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 859020893.1.\nAnswer: -859020900.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*(50 + -49) - 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 41*l + 13 - 5.\nAnswer: 62*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 + 5*q - 21. Let p(l) = -370 - 377 + 1450 - 375 - 360 + 8*l - 6*l**2. Calculate -8*a(u) + 5*p(u).\nAnswer: 2*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*k + 153, -a + 75 = a - 3*k. Suppose -8500 = 5*g - a*g. Are g and 252 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {r: 7, l: 2, w: 5, g: 3}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -880, -1723, -2564, -3403, -4240, -5075?\n\"Answer: h**2 - 846*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100100111200 (base 3) to base 10\nAnswer: -184077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 11:33 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**4 - 70*d**3 + 271*d**2 + 6. Let q(k) = -1. Let r(j) = -6*q(j) - z(j). Find the third derivative of r(o) wrt o.\nAnswer: -168*o + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.016, -5, 80?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 352\/(-128)*(-4)\/22*-24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 + z - 2. Let j be y(1). Suppose -3*u = -7*d + 9*d - 23, 5*u + j*d = 37. Solve 4*s - u = -5*p, -2 = -3*p + p - 3*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.387 + -0.187. Put -3\/5, h, -2 in decreasing order.\nAnswer: h, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:47 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5403735817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*g + 272 with respect to g.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39 - 29)*(-2)\/(-10). Is 12 a factor of 384*((-99)\/(-88))\/(3\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 12*i**2 + 6. Give o(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -0.5365624?\nAnswer: 79.4634376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -14, 1, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-3 + sqrt(243))*-5 + sqrt(243) + sqrt(243) + sqrt(243) + -2*(sqrt(243) + (sqrt(243) + 0 - sqrt(243))) + sqrt(243) + -4) + 0)**2.\nAnswer: -594*sqrt(3) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887661476 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13.6? (a) -4\/7 (b) -5 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7642964 and 2058?\nAnswer: 1123515708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 12*v. Let y be j(-6). Suppose 16 = 4*g + 2*k, y = 3*g + 2*k - 3*k - 22. Let b(t) = -g*t + 0*t + 8*t. Let n(p) = -17*p. What is n(b(q))?\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrdr when four letters picked without replacement from {r: 3, d: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*(c**(-6\/11)*c)\/c*c)*c)\/(c**(-2\/19)*c))\/(c**(-9)\/(c\/(c**(-3\/17)\/c))) assuming c is positive.\nAnswer: c**(42022\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -5. Let n be (4 + -9)\/(2*l - -1). Put -1, 4, n, -2 in increasing order.\nAnswer: -2, -1, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 4*d + 4. Let v(i) = 7*i**2 - 8*i - 7. Determine -5*b(n) - 3*v(n).\nAnswer: -6*n**2 + 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 15*i**2 - 35*i + 304. Let u be o(16). Solve u = -10*k + 16*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106252, 22, 3 in ascending order.\nAnswer: 3, 22, 106252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 - 128 - 134 + 512 + 5*b - 120.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 + 4*p + 4. Let h be (-208)\/80 - 4\/10. Calculate the least common multiple of j(h) and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10663*j**2 + 5*j - 10663*j**2 + 29*j**3.\nAnswer: 29*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/5 + -263\/105. Which is the nearest to -1? (a) 5 (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-6 - -13)) + 19 - -20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1098000953*c*d**2 + 576756730*d**2 wrt c.\nAnswer: -1098000953*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4 + 16, -3*y + 2*g = -15. Solve 6*q + 2 = d + y*q, -2*d + 3*q = -7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9442.025 and -0.06.\nAnswer: -566.5215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3204581 is divided by 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*p*y + 2*b**2*q*y - 22647*b**2*q - 9*b*p*q*y - 2*b*p*y - 4*b + 18*p*q*y + 2*p*q - 2*q*y wrt b?\nAnswer: 6*p*y + 4*q*y - 45294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 389139 - 1.5?\nAnswer: 389137.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 185. Let d(m) = m - 155. Let w(j) = 6*c(j) + 7*d(j). What is w(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610701 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1331324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8614 + 8616. Sort -5, -4, c, 4.\nAnswer: -5, -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*w - 37*w - 1850099 = -142*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2599393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -129, -172, -217, -276, -361?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27406 is divided by 1198?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.546941 millimeters in centimeters?\nAnswer: 0.4546941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((4 - 5) + -4)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-372)\/(-8) + 3\/2. Suppose 0 = -2*d - 2*j + 20, -4*d + j = -3*j - m. Let c(p) = -p**2 + 6*p + 6. What is the least common multiple of c(6) and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**30*b**(-3) assuming b is positive.\nAnswer: b**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 + 7 + 10*o + 5*o**3 - 3*o**3 + 10*o**2. Let w be z(-6). Calculate the remainder when 63 is divided by -5*2\/(-8)*(-68)\/w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*u**3 + 2*f*u**2 - 4*f*u + 3*f - 37 with respect to u.\nAnswer: 3*f*u**2 + 4*f*u - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 0.7, -0.3, 6\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j = j - 1430 + 9130. What is the remainder when 946 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (3 + -1)\/((-2)\/(-19)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 3*a + 0*a - 2 + 0*a. Let m be s(3). Let v = -11 - m. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98872026 by -6.\nAnswer: -16478671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*u + 382730, 0 = -5*u - 2*g + 247758 + 134992. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2 = 5*k, -5*c + k + 60 - 72 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 5*b**3\/3 - 1755*b**2 + 616005*b - 191. Solve o(z) = 0 for z.\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggfggggfg. Give prob of picking 2 g and 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 275 and 234750?\nAnswer: 2582250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q + q)*(-347 + 32 + 21).\nAnswer: -1176*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = c - 3*c, -7*v + 24 = -11*v + 8*v - 6*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m + 1001. Let q be x(66). Solve -5*w + 16 = -14*k + q*k, k + 5*w - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, 17, -2327, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*k - 464, 2*k = l - 6*l - 1172. Let s = l - -239. Solve 0 = 2*y + 3*b + s, 5*y + 5 = 3*b - 8*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 450*a**3 - 3*a**2 + 30*a + 80. Is i(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 11*q + 67. Give a(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -415 - -5?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 35229 + 79821 = 0. List the prime factors of p.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -283 - -275. Let v(i) = -57*i + 109. What are the prime factors of v(t)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -5. Which is the closest to 0? (a) -3\/4 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from oziqqqomoiq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -244, 1340.77, -1\/3?\nAnswer: 1340.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-15)*3*2. Let c = -70411 - -70406. Let k be (-4)\/(-14) - (-13)\/(-21). Sort c, 1\/8, p, k in descending order.\nAnswer: p, 1\/8, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 - 9 - (-7 - -13) - (1 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 - 2*l**2)*((4*l**2 + l**2 - 4*l**2)*(-3 - 2 + 3) + l**2 + 0 + 0).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/54*44\/242\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/12)\/((2\/(-3))\/((-42)\/(-189))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311*k**5*s**3 - 9*k**2*s**3 - 2*k*s**3 + 372*k + 8*s**3 wrt k?\nAnswer: -6220*k**3*s**3 - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {n: 1, t: 2, o: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 49519*l + 12642342.\nAnswer: -(l - 49773)*(l + 254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/12*32\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1762234*z = -1762280*z + 460 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 727\/2163 - 2\/721. Factor 0 + u*y**4 - y**3 + 0*y + 2\/3*y**2.\nAnswer: y**2*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 = 5*j, j + 0 + 2 = 0. Suppose -p*x - 2*g = -566, 0*x - 4*g = x - 172. Let q = 349\/2 - x. What is the common denominator of -41\/12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 569, 1063, 1557?\nAnswer: 2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 24 = 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 545. Let p(t) = -51738*t. Calculate p(q(a)).\nAnswer: 51738*a**2 + 28197210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:18 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -9*v + 29 + 15 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(272)*-2*1 - 5*(1 + sqrt(272) + sqrt(272) + -1))**2.\nAnswer: 480*sqrt(17) + 39193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + -9 - (-7 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/19 and 33\/1235.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2549668984?\nAnswer: 2, 318708623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37202206?\nAnswer: 2, 79, 241, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 5, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*j - 13. Let d be 3\/(-5) - 535\/25. Let o = j - d. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1351510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -193*h + 195*h. What is the remainder when 88 is divided by (-10)\/((5 + -2)*h\/(-45))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50426920 to the nearest integer?\nAnswer: 7101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780836?\nAnswer: 2, 7, 79, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 366\/23?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-39 + 17)) + 21 - -22\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 12*q - 30. Let z be j(-14). Let x = -5.92 - 0.08. What is the biggest value in 2\/9, x, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - r + 4)*(-2 + 1 + 2) + 2*r - r - 4*r - 6*r + 4*r + 3*r + 2*r + 0*r + 4*r - 3*r - r + 2*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.073 - 288663.7973.\nAnswer: -288663.7243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 12*m + 17)*(-1 + m + 3*m - 2*m).\nAnswer: 24*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248762 is divided by 6546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by -150?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 234810 = -28*h + i, 5 = -i. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 4. What is the biggest value in 2, -1, y, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**3\/3 - 5*o**2\/2 - 2*o - 169. Calculate x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h - 5 + 4 + 3*h - 1.\nAnswer: 38*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 2*v**2 - 2*v + 2. Let y be o(2). Let n be ((-4)\/y - 3)*-1. Let f = 16 + -8. Calculate the highest common factor of f and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 251.0444974?\nAnswer: -278.0444974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -80030.3 rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2*3\/12). Let n(r) = -3*r**2 + 2*r + 2. Let j be n(t). Is ((-6)\/9)\/(2\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25371713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6 = -33*p + 30*p, 18 = 3*q - p for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 0.3, 4, -1\/39?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - k**2 - 3*k**2 + 5*k**2. Let b be x(4). Solve 4*g - b + 29 = 3*d, 2*d + 2 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1025.756908 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 2169831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 16*q - 426. Let z be m(-15). Solve -d - z = -40*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/23)))**(2\/13)\/(((o*o**(-3\/5)*o)\/o)\/o)**(1\/11) assuming o is positive.\nAnswer: o**(1117\/16445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*g + 68*g + 24 = 0. Let o = 37761\/4 - 9440. Factor 2*p + 0 - o*p**g + 1\/2*p**2.\nAnswer: -p*(p - 4)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 + 0.05. Let p = 5749 + -5751. Let d = -259\/6 + 43. Which is the second smallest value? (a) k (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205 + -346. Let g = l + 206. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 - 9)*(-18)\/(-4). Is (3\/m)\/(4\/612) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4, -3*h - 31*n - 15 = -28*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 - 3*r**4 + r**4)*((-7 + 2 + 3)*(-r + 3*r - 3*r) - 5 - 3*r + 5).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73363769.\nAnswer: 19, 3861251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:46 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46527 divided by -3.\nAnswer: -15509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16079 + -9282. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 11. Let h(j) = -11*j + 22. Let f(x) = -3*h(x) + 5*l(x). Let a(t) = 6*t - 4. Calculate the remainder when a(6) is divided by f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 8, 21, 38, 59, 84, 113?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26286855919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 8\/33*r**3 - 4\/11*r**2 - 37 + 0*r - 1\/22*r**4. Solve a(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/4 - 2*i**3 - 4*i**2 + 9*i - 5. Let h be f(7). Let a(g) = 11*g**2 + 4 + 11*g**h - 4. Let c(z) = 2*z. What is a(c(s))?\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 665500 = 70*i. Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 5, t: 9}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -1.8, -54, -1\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26680872.\nAnswer: 2, 3, 1111703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502978821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/7 in 4, -4, 167?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 - (-2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -8643*(-1 + 1\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 1585\/(-210) - ((-450)\/20)\/(-15)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55112349718 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s**5 + 26 + 0*s**2 + 0*s + 4\/3*s**3 + 0*s**4 - 4*s**6. Find the third derivative of z(f) wrt f.\nAnswer: -1440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6722205ns to milliseconds.\nAnswer: 0.0000006722205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*g + 32984 = -14482 - 10534. Calculate the lowest common multiple of g and 92.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40650.\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -87727*k - 1475. Let y be p(75). Round y to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3384 and 8884692?\nAnswer: 17769384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l - 8477622 = -3173019 + 5437363. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1096\/2 + (0 - -2). Suppose 19*s = 8*s + x. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - sqrt(136)*-2 - sqrt(136)) + sqrt(136))*1*5)\/(-4*(sqrt(512) + 2*sqrt(512))).\nAnswer: -5*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 40238472*g\/5 - 134927885741232\/5.\nAnswer: -3*(g + 6706412)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2 - 2*b + 5 + 5*b + 6*b**2. Let d(y) = 5*y**2 + 3*y + 7. Let l(p) = -4*a(p) + 5*d(p). List the prime factors of l(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 2*x. Suppose 0 = -4*o + 12, 23 = 5*h - 2*o + 9. Let q(f) = 20*f + 23*f - h*f**2 - 40*f. Determine 3*n(j) + 2*q(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 5052408*o.\nAnswer: 4*o*(o + 1263102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqqiqqq. Give prob of sequence iiqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 186310482.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 29. Calculate the remainder when 111 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-12 + 18 - 2) + -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10)*-4*15441150\/(-240) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1006 - -5027\/5. What is the second smallest value in 6, 1, -0.3, z, -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57082 is divided by 245?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 36 = -4*v. Calculate the lowest common multiple of v and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129275875 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 2*d + 2*d)*(2*d - 6*d + d)*(-d - 1 + 1 + (4 + 2 - 4)*(-3*d + 2*d + 0*d) - 2*d - 4*d + 5*d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 z when three letters picked without replacement from {i: 6, z: 2, q: 1, j: 3, y: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12*b. Let k(z) be the third derivative of z**5\/60 - 3*z**2. What is k(f(y))?\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9028, 13380, 17746, 22132, 26544, 30988?\n\"Answer: f**3 + f**2 + 4342*f + 4684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -19634072.\nAnswer: 13\/19634072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/12)\/(2\/8). Let w(n) = -6*n + 5*n - 2*n + 4*n + n**2 + 3. What is the lowest common multiple of w(u) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281465081339357*z**2 - 2*z**3 + 281465081339357*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 69. What is the least common multiple of d and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1120 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099668517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 125.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17126 - 17323. Sort 2\/9, n, -1\/22.\nAnswer: n, -1\/22, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 0, 0 = 3*p + 3*q - 818 - 484. What are the prime factors of p?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - 1392?\nAnswer: -13b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012 (base 4) to base 12.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 12, -8*a - 39*r = -41*r - 863600. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*z - 55*z**2 - 76*z - 74*z)*(-4*z**3 + 2*z**3 + 4*z**3).\nAnswer: -110*z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2220 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16995, -17075, -17167, -17277, -17411, -17575, -17775?\n\"Answer: -i**3 - 73*i - 16921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-16\/3))\/(r\/(r**(-5)\/r)*r) assuming r is positive.\nAnswer: r**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 1370*d**2 + 248336*d + 4629408.\nAnswer: 2*(d + 21)*(d + 332)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200133101 - -1?\nAnswer: -1200133100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 20 + 5*l**3 + 18.\nAnswer: 5*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 24064?\nAnswer: -24064.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (sqrt(2057)*1 - sqrt(2057))*-5 + sqrt(2057))*-1*-6)**2.\nAnswer: 296208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 1, x: 4, l: 1, p: 1}. What is prob of picking 1 l and 1 x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*w + 7*w. Suppose w = -3*a + 4*a. Let u = 2242 - 2240. Solve 2*d = -s - u, 3*s = -0*d + 2*d + a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7371\/(-1638)*3\/((-342)\/8).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l*l*l**(-3\/5)*l*l))*l)**23)**(-3\/2) assuming l is positive.\nAnswer: l**(-1863\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00115107 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 574097630 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 9 + 307. What is the remainder when g is divided by 1\/6*-1 + (-1210)\/(-60)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**2 + 14*a + 12.\nAnswer: -2*(a - 2)*(5*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15648, 30580, 44082, 55446, 63964, 68928?\nAnswer: 69630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-90)\/4)*-3. Let n = 0.39 - 0.59. What is the closest to -0.1 in 0.2, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17948.37665 rounded to the nearest ten?\nAnswer: 17950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9176, 36835, 82974, 147593, 230692, 332271?\n\"Answer: 9240*a**2 - 61*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**5\/5 + 177*j**4\/2 - 3361*j**3 - 10620*j**2 - 10800*j - 1585. Let i(b) = 0. What is b?\nAnswer: -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 12*l + 6. Let m be 126\/(-1 + -5)*l. Calculate the highest common divisor of m and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*m + 302, -21 = q - m - 81. Suppose -13 = 7*s - q. Solve 2*z - s = -d, 0 = d - 2 - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539270041?\nAnswer: 1423, 378967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let x(a) = 84*a + 7. Let m be (-1)\/(-2) + 91\/(-84)*-6. Let n(p) = 85*p + 6. Let f(g) = m*n(g) - 6*x(g). Calculate f(u(h)).\nAnswer: 91*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 415 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 250, 5, -1 in increasing order.\nAnswer: -3, -1, 5, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/24*2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x. Let j(f) = 3*f - 7*f - 3*f. Determine -4*j(i) - 5*t(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*p - 2*g - 35, 2*p = 3*g + 38. Let t = 17 - p. Solve -2\/5*u**t + 0*u + 0*u**3 + 2\/5*u**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136858416*a**2 - 10814*a - 5484.\nAnswer: 273716832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1688*i + 1696*i + 54*i**2 - 10*i**2 + 8. Let k(l) = 15*l**2 + 3*l + 3. Determine -3*c(t) + 8*k(t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 280 - 259. Factor -211 + 15*f**2 - 156*f + 51 + r*f**2 - 50*f**2 + 18*f**2.\nAnswer: 4*(f - 40)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 5*u - 5*u + (0*u + 2*u - u)*(-14*u + 0*u - 3*u) - 2*u**2 - 2*u**2 + 2*u**2 + 91 - 91 + 25*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-36))\/((-10)\/(-15)). Which is greater: s or -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603148339.9188 - -2.4?\nAnswer: -2603148337.5188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 52*z + 179. Let i = 6 + -2. Let w be -5*51\/(-450) + 2\/(-5). What is the nearest to 0.3 in i, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 84 = 184. Let z be (2 - 12)*1\/(-1). Calculate the highest common factor of z and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14560 - -14593. Solve 28 = 4*b - 3*v, l*v = -b + 38*v + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 11, a: 1, j: 4, k: 3}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 137*b**2 - 129*b**2 + 5 + 3*b - 2*b. Let x be q(2). Suppose n = -f - n + 16, -4*f + x = 3*n. Solve 10 - 1 = -3*r, 0 = -5*h + 2*r + f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322 divided by 731?\nAnswer: 4322\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 22 = 5*s, -u = -5*s - 2 + 9. Suppose -x = -0 - u. Find the second derivative of 3*m**x - 3*m**3 + 3*m + 2*m**3 wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-42))\/((-323)\/(-57) + -4)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 - 105. Let q = 6 - 4. Suppose 0*n + 8 = 4*n, -q*n - 8 = -w*m. Solve -m*g = 5*t + 7 + 10, 2*g = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 96. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1410028, -2820059, -4230090?\n\"Answer: -1410031*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 13*y**3\/3 + 3*y**2\/2 - 3. Let p be c(3). What is the highest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149 * -59.\nAnswer: -8791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214825470?\nAnswer: 2, 3, 5, 1993, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {x: 4, s: 1, i: 1, m: 2, j: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(160)*2)\/(6*2*sqrt(392)*-1))**2.\nAnswer: 125\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-175)\/(-15))*(-35)\/10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgjgqkgqjqjgjj. Give prob of sequence jgk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m - a + 8 = 0, 4*a = -2*m - 4. Let o(z) = -3*z - m*z + 0*z - 7 + 3*z. What is the remainder when 48 is divided by o(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2184 and -15.\nAnswer: -32760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + l**3 - 2*l**3)*(4*l - 2*l - 4*l) + 3*l**4 + 16*l**4 - 5*l**4 + (1 - 1 + l)*(0*l**3 + 0*l**3 + 3*l**3).\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9053494 divided by -63757?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 0*c**2 + 4*c + 2 + 0*c**3 + 1\/2*c**4. What is the derivative of h(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:38 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13594 is divided by 349.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 - -214304331?\nAnswer: 214304480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 80288?\nAnswer: 80288.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 677864959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 47. Does 4 divide (24\/s)\/(2\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)\/f**(-1\/11))\/(f*f*f**(18\/11)*f*f**(3\/4)) assuming f is positive.\nAnswer: f**(-981\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 19*t - 559. Let j = t - 21. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.88 + -0.88. Let o = 46.1 - t. Put o, 5\/8, 1 in descending order.\nAnswer: 1, 5\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 540, 540, 538, 534?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-2)\/(-7) + (-999)\/(-105) and 91\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29662136 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: Let v(q) = 2*q - 5. Let u be v(4). Suppose -2 = d + 4*a + 3, -u*d = -a - 24. Let w = 8 + d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.21 + 51.21. Let r = 0 - u. Let l = r - -49.69. Round l to 2 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and (-21)\/(-35) - 54\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33891900 rounded to the nearest one hundred thousand?\nAnswer: -33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94809133?\nAnswer: 37, 263, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 14*c**2 + 3299*c + 35932. Give i(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/((-544)\/(-12))*16\/132?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 - 36*r**4 + 56*r**3 + 264*r**2 - 828*r + 540 = 0. Calculate r.\nAnswer: -3, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4764 and 4879527.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.2282 centimeters to millimeters.\nAnswer: 522.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2. Let p be 2\/1 - (1 + -2). Suppose 52*r - 50*r = 6. Let n(g) = -7*g + g + p - r. Give n(b(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 690250 divided by -138050?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*m = -7 + 3, -a - 5*m + 10 = 0. Let n = -85011628\/603 - -140981. Let o = -2\/67 - n. Is a at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 7 - 19. Let t be 6\/18 + (-178)\/3. Let n = -39 - t. What is the smallest common multiple of z and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96030600 to the nearest 1000000.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -120001200120 (base 3) in base 15?\nAnswer: -5cca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4096744281?\nAnswer: 3, 7, 65027687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43441528 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(343))*-1 - ((sqrt(392)*-1)\/sqrt(7))\/(sqrt(8) - -1*sqrt(800)))**2.\nAnswer: 659743\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*y + 204 + 524 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/2260 and 57\/452?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*b - 15, -19 = 5*b + 2*g - 55. Let p be (-1 - 3\/b)*-14. Suppose i + 2*i = p. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8410, 16705, 25000, 33295, 41590?\n\"Answer: 8295*d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -16 + 15 + -35 + 40. Factor 8\/11*r**z + 0*r + 2\/11*r**3 + 0.\nAnswer: 2*r**2*(r + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 123.5, -7, -0.1, -5, 1603?\nAnswer: 123.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4361.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (31\/(-10) + 2\/(-5))*-16.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -59374631.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 116 (c) -0.1 (d) -187 (e) 1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -1\/6*y**5 - y**4 - 1\/3 - 7\/3*y**3 - 8\/3*y**2 - 3\/2*y = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 604*m - 49383. Determine w(-209).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3 (c) -2\/13 (d) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -eed4?\nAnswer: eed7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4.37 (b) 9 (c) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195517221*x**4 + x**2 - 17355*x - 407.\nAnswer: 4692413304*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12835 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (976\/(-427))\/((-4)\/14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 23*c. Let z(j) = 1. Suppose 88 - 916 = 9*x. Let n = 93 + x. Let t(k) = n*p(k) - 3*z(k). Find the first derivative of t(y) wrt y.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010100 - -10001000?\nAnswer: -11001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(2\/(-2) - -3). Suppose -4 = 2*d - 4*x, -d - c - 6 = -4*x. What is the least common multiple of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14288419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -88, -190, -332?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 15 = 5*w, 6 = -5*g - 19*w + 17*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 57.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*q - 14 = 0, 2*q = -u + 1 - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + 0*r)*(6*r + 8*r + 6*r).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 785133 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 - -88. What is the third derivative of -3*i**5 - i + 0*i + 4*i**b - 2*i**6 - 2*i + 2*i**2 wrt i?\nAnswer: 240*i**3 - 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*s + 260. Let g = s + 207\/4. Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*p + 6*p + 18, -2*a = 2*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 1 - 29 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5579 + 20489 = -974*k - 12892 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2213619c + 1?\nAnswer: -2213619b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**4 + 131*z**3 - 38*z**2.\nAnswer: z**2*(z + 19)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8198991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -20512*s + 533318. What is i(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (276 + 459 - 158)*(3*a - 3*a - 2*a).\nAnswer: -1154*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -238*b. Let f(a) = -7*a - 6. Let p(w) = 9*w + 8. Suppose 45 = -18*c - 27. Let r(h) = c*f(h) - 3*p(h). Determine r(d(v)).\nAnswer: -238*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v + 71478 = -13*v + 41*v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/473 and -4\/989?\nAnswer: 10879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1803, 1804, 1805?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}